And Jirp Staff Contributions by

GEODETIC ACTIVITIES DURING THE 1994 JUNEAU ICEFIELD RESEARCH PROGRAM FIELD SEASON EDITED AND COMPILED BY Scott R. McGee WITH NSF YSP AND REU STUDENT CONTRIBUTIONS BY Polly Bass Matthew Eyklebosch Collin Medeiros Jason Mellerstig Steve Price Gary Renault Kate Tomford AND JIRP STAFF CONTRIBUTIONS BY Prof. Dr.-Ing. Walter Welsch Prof. Dr.-Ing. Dieter Bieneke Dipl.-Ing. Martin Lang Universität der Bundeswehr, München Dr. Peter Angus-Leppan University of New South Wales, Australia Scott R. McGee Foundation for Glacier and Environmental Research Foundation for Glacier and Environmental Research Juneau Icefield Research Program Seattle, Washington and Glaciological and Arctic Sciences Institute University of Idaho Moscow, Idaho JIRP OPEN FILE SURVEY REPORT—1994 Geodetic Activities During the 1994 JIRP Field Season Compiled by Scott McGee Foundation for Glacier and Environmental Research Juneau Icefield Research Program 514 East 1st Street Moscow, Idaho 83843 USA © Copyright 1994 All data contained herein was collected from 1992 to 1994 by the Foundation for Glacier and Environmental Research, Juneau Icefield Research Program with additional financial support from the University of Idaho, National Science Foundation, NASA, the Army Research Office, and the Universität der Bundeswehr, Munich, Germany. These data are available to the public at no charge for scholarly use. Researchers wishing to use the information contained herein may do so provided the author and the Foundation for Glacier and Environmental Research, Juneau Icefield Research Program are properly credited and cited as the originators of the data. Survey reports from previous field seasons of the Juneau Icefield Research Program may be obtained from the Foundation for Glacier and Environmental Research at the above address, or on the Internet at http://www.crevassezone.org. 2 CONTENTS 1. INTRODUCTION....................................................................................................................................... 1 2. SURVEY METHODS ................................................................................................................................. 3 2.1 ESTABLISHMENT OF PROFILES............................................................................................................... 4 2.2 GPS SURVEY METHODS ........................................................................................................................ 4 2.3 TERRESTRIAL SURVEY METHODS ......................................................................................................... 6 3. RESULTS OF SURVEYS .......................................................................................................................... 7 3.1 MOVEMENT PROFILES ........................................................................................................................... 7 Profile 1 ............................................................................................................................................ 7 Profile 2 ............................................................................................................................................ 9 Profile 3 ............................................................................................................................................ 9 Profile 4 .......................................................................................................................................... 10 Profile 5 .......................................................................................................................................... 11 Profile 6 .......................................................................................................................................... 11 Profile 7a ........................................................................................................................................ 12 Profile 7 .......................................................................................................................................... 13 Profile 8 .......................................................................................................................................... 13 Upper Vaughan Lewis Profile ........................................................................................................ 14 3.2 TAKU PROFILE 4 MASS BALANCE SURVEY ......................................................................................... 14 3.3 TAKU PROFILE 4 STRAIN RATE ANALYSIS .......................................................................................... 18 3.4 TAKU GLACIER TERMINUS SURVEY ..................................................................................................... 19 3.5 GILKEY TRENCH SURVEYS .................................................................................................................. 19 4. PROSPECTS/RECOMMENDATIONS FOR FUTURE SURVEYS ................................................... 20 REFERENCES CITED ................................................................................................................................... 22 APPENDICES ................................................................................................................................................A-1 APPENDIX 1................................................................................................................................................A-2 APPENDIX 2................................................................................................................................................A-3 APPENDIX 3................................................................................................................................................A-4 APPENDIX 4................................................................................................................................................A-5 APPENDIX 5................................................................................................................................................A-7 APPENDIX 6..............................................................................................................................................A-19 APPENDIX 7..............................................................................................................................................A-25 APPENDIX 8..............................................................................................................................................A-29 APPENDIX 9..............................................................................................................................................A-30 APPENDIX 10............................................................................................................................................A-32 APPENDIX 11............................................................................................................................................A-34 APPENDIX 12............................................................................................................................................A-44 APPENDIX 13............................................................................................................................................A-48 3 Geodetic Activities during the 1994 JIRP Field Season Edited and Compiled by Scott McGee Juneau Icefield Research Program Foundation for Glacier and Environmental Research Seattle, Washington, USA _________________________________________________________________________ 1. Introduction The Juneau Icefield Research Program (JIRP) was organized in 1946 to conduct longterm, interdisciplinary research vital to understanding the total environment of arctic and mountain regions. This approach requires the coordinated involvement of various disciplines such as botany, geology, meteorology, geophysics, and surveying to describe and understand the various natural processes operating in arctic and mountain regions, and the Juneau Icefield in particular. Perhaps the most important function of JIRP is that of quantifying, over time, the physical changes of the Icefield and its environment—advance or retreat of its glaciers, net accumulation or loss of ice, and long-term atmospheric changes. Monitoring these changes is important because the resultant data are valuable in understanding global atmospheric circulation patterns. Long-term monitoring of glacial systems is perhaps the best method available, for glaciers are extremely sensitive to both short-term and long-term atmospheric changes. One way we can detect these changes is to employ surveying to determine glacial flow rates, directions, elevations, and strain-rates. This information, coupled with that gathered by researchers in other disciplines, provides an increased understanding of the complex processes responsible for local and global atmospheric patterns. The 1994 Juneau Icefield Research Program field season was the forty-eight consecutive year that glacier movement surveys have been conducted on the Juneau Icefield. It also was the most productive in terms of the number of surveys completed and the geographic extent over which those surveys were done. This year marked the first time that comprehensive surface movement surveys of the Taku Glacier were carried out from its terminus all the way to its source in the crestal névés of the Alaska/Canada boundary sector—a distance of some 50 km. Additional surveys were conducted in the Gilkey Trench and in the Camp 18 sector. These surveys, coupled with the Taku Glacier surveys, comprised a total of 15 profiles of 183 flags. Figure 1 shows the greater Juneau Icefield region and the locations of the profiles. An important element of this year’s survey program was the investigation of the lower Taku Glacier, which included one location at the transient firn line and two locations below. This included a resurvey of the terminal position and the first measurement of surface flow at Profile 1, which was originally established by Thomas Poutler in 1949 for seismic refraction studies. The Taku terminus was last surveyed by JIRP during the 1991 field season. Profile 1, a transverse line across the Taku Glacier at the bottleneck between Norris Mountain and the Brassiere Hills, marks the 1890 terminal position, some five kilometers upvalley from the present terminus location. Table 1 lists the profiles, survey dates, type of measurement, and number of flags in each profile. 2 Profile Location Survey Dates Type of Measurement Survey Method # of Flags Terminus Taku Glacier July 30, 1994 Terminal position Theodolite/EDM 11 Profile 1 Taku Glacier August 1, 1994 Surface movement GPS 15 August 2, 1994 Ablation Profile 2 Taku Glacier August 3, 1994 Surface movement GPS 12 August 7, 1994 Ablation GPS 12 GPS 31 GPS 12 GPS 16 Profile 3 Demorest Glacier Profile 4 Taku Glacier July 29, 1994 Surface movement August 4, 1994 Ablation July 25, 1994 Surface movement August 5, 1994 Strain rates Mass balance Ablation Profile 5 Southwest Branch Profile 6 Northwest Branch Profile 7 Matthes Glacier Profile 7a Matthes Glacier July 27, 1994 Surface movement August 4, 1994 Ablation July 26, 1994 Surface movement August 6, 1994 Ablation August 10, 1994 Surface movement Theodolite/EDM 12 GPS 14 August 13, 1994 Profile 8 Matthes Glacier July 26, 1994 Surface movement August 6, 1994 Ablation August 11, 1994 Surface movement Theodolite/EDM 14 Surface movement Theodolite/EDM 10 Surface movement Theodolite/EDM 12 Theodolite/EDM 1 Theodolite/EDM 9 Theodolite/EDM 2 August 14, 1994 Upper Vaughan Lewis Vaughan Lewis Glacier August 10, 1994 August 12, 1994 Gilkey B Gilkey Glacier August 15, 1994 Strain rates Gilkey C Gilkey Glacier August 13, 1994 Surface movement Strain rates Gilkey D Gilkey Glacier August 13, 1994 Surface movement Strain rates Gilkey E Gilkey Glacier August 13, 1994 Surface movement Strain rates Table 1: Surveys conducted during the 1994 JIRP field season. 2. Survey Methods The Juneau Icefield Research Program has historically used traditional terrestrial survey methods. This involves determining flag coordinates and movement using observation data obtained from theodolites and EDMs. Increasingly, and in the past four years in particular, GPS obtained survey data have proven valuable. Of the 15 profiles surveyed during the 1994 field season, 7 were surveyed via GPS. The remaining 8 were surveyed using terrestrial methods. 3 2.1 Establishment of Profiles One of the main goals of the surveying program is to collect data which allows comparison of surface movement from year to year. In order to ensure the consistency of year-to-year movement data, all profiles were located in roughly the same general area as in past years. See Appendix 1 for the locations of the profiles. Two methods were used to establish the profiles; estimation and surveying. The flags for all profiles, except Profile 4 and those in the Gilkey Trench, were placed by estimating where they were placed in previous years. These profiles had the same number of flags per profile as in the past. The specific flag placement for each profile was determined by local landmarks, the distance across the glacier, the number of flags, and the length of the Thiokol tracks used to set the profile. For example, Profile 5 is located on the lower Southwest Branch, approximately 600 meters upglacier from its confluence with the main Taku Glacier, between Juncture Peak and the northern spur of Peak 4066. The glacier is 2,600 meters across at this location, within which 12 flags were placed. The beginning and ending flags were approximately 300 meters from bedrock, so this equates to a flag spacing of approximately 182 meters. Since Thiokol support was used to establish this profile, the diameter of the Thiokol tracks was used to provide an easy way of measuring approximate distances. The track diameter of the particular Thiokol used in setting Profile 5 was 5.64 meters, so by simply counting the track revolutions and placing a flag every 32.3 revolutions, an approximate and fairly consistent flag spacing of 182 meters was maintained. The year-toyear positional accuracy of flags placed in this manner is estimated to be approximately 3040 meters. One advantage of this method is that, given a known profile bearing and the location of its first flag, the profile can be set in complete whiteout conditions. Naturally, this only works in those areas that are relatively crevasse-free, and which can be safely navigated by vehicle. In areas where vehicle support cannot be utilized, it is necessary to count paces in order to estimate the flag spacing. Appendix 1 details the profile bearings, number of flags, flag spacing, and other information useful for establishing each movement profile. Unlike the majority of the Taku system profiles, Profile 4 was established by surveyingin the flags. This was necessary in order to obtain the positional accuracy needed by the ongoing mass balance survey of this profile. This involved utilizing a theodolite and EDM to determine the flag locations. The azimuth and slope distance to each flag was recorded from the 1993 survey of Profile 4, and these were used to find the locations for the 1994 flags. A positional accuracy of 2.74 ±0.77 meters was thus obtained. If the horizontal distance rather than the slope distance is used, the positional accuracy can be increased to the sub-meter level. Appendix 2 lists the bearings and distances used in the establishment of Profile 4. 2.2 GPS Survey Methods The major portion of the survey program this year relied on the use of GPS equipment provided by the Universität der Bundeswehr in Munich, Germany. This equipment consisted of three Wild System 200 receivers, a portable personal computer, GPS processing software, and supporting gear such as batteries, tripods, monopoles, and cables. All GPS surveys were conducted using differential methods in “rapid-static” mode in which a reference receiver was placed on a known point within the Taku Local Network—typically a benchmark—and collected data continuously. Concurrently, one or two roving receivers were placed at each 4 flag location and collected data at 15 second intervals for 10 to 20 minutes. This process was repeated for each flag of all profiles. Data from the reference receiver and the roving receivers was then downloaded to the computer and the observations were processed using the SKI (version 1.06) software package. The primary factors affecting the accuracy of the obtained GPS observations are the baseline distance between the reference and roving receivers, the duration of the observation time at each point, the time of day, the number of satellites tracked, and the GDOP (geometric dilution of precision) value. Table 2 gives values for these parameters, as recommended by Wild (1992), that are necessary to achieve optimal results for rapid static surveys. GDOP <= 8 Number of Satellites Baseline length 4-5 4-5 4-5 Up to 5 km 5 to 10 km 10 to 15 km Duration of Observation By Day By Night 5 to 10 min. 10 to 20 min. Over 30 min. 5 min. 5 to 10 min. 5 to 20 min. Table 2: Recommended GPS observation parameters. The parameters listed in Table 2 were used for all GPS surveys on the Juneau Icefield. The GDOP is a measure of the geometry of the satellite constellation; the ideal satellite constellation is one in which 4 or more satellites are equally distributed around the azimuth and 50 gons above the horizon. This geometry provides the greatest level of accuracy in the observations. Less than ideal satellite constellations reduce the accuracy and increase the GDOP value. The maximum allowable GDOP for the surveys performed on the Icefield was 8. The reference and roving receivers maintained a lock on a minimum of four satellites at all times in order to provide a solution of both horizontal and vertical position. In most cases however, 5-8 satellites were observed. All baseline lengths were under 10 kilometers, with the exception of Profile 2, which had a baseline of 12 kilometers. Appendix 3 lists the reference receiver locations for each GPS surveyed profile, the minimum and maximum baseline lengths from the reference to the roving receiver, and the observation duration for each profile. The accuracy of GPS surveys centers on two key issues; the absolute accuracy and the relative accuracy of the observations. The absolute accuracy is the accuracy with which an observed position coincides with the actual true point on the earth’s surface. It is the absolute position of an observed point when viewed on a global scale. Relative accuracy refers to the position of an observed point with respect to another nearby point. It is not viewed on a global scale, but rather on a smaller, local scale. Relative accuracy is greater than absolute accuracy. The typical absolute accuracy attainable with the Wild System 200 GPS equipment is 30 to 50 meters in the horizontal and vertical positions. The absolute accuracy of horizontal positions will nearly always be greater than the absolute accuracy of vertical positions. An examination of the absolute accuracy of the GPS reference receiver location at Camp 12 revealed a horizontal accuracy of approximately 20 meters and a vertical accuracy 5 of about 30 meters (Lang, 1995). These values are typical for all GPS surveys conducted on the Juneau Icefield. While an accuracy of 20-30 meters for a short time interval glacier movement survey may at first seem quite alarming, it is important to understand that the absolute position of the movement flags is not necessary. The absolute flag position derived from the GPS observations serves only as a means of locating the flags on a topographic map or other reference system. For this purpose, an accuracy of 30 meters in absolute position is suitable. A more accurate indication of the flag positions is given by the relative accuracy of the roving receiver locations with respect to a nearby stationary reference receiver. Given a baseline length of less than 15 kilometers, a GDOP less than or equal to 8, and a minimum of four satellites tracked, the relative accuracy of the Wild System 200 GPS observations is typically 5 mm ± 1 ppm in horizontal position and about 5 cm in vertical position (Wild, 1992). These specifications were met for all GPS surveys on the Juneau Icefield, therefore the relative accuracy of the coordinate determinations presented in Appendix 5 are within this tolerance. The absolute positions are accurate to within 30-50 meters. After post-processing of the GPS observations was completed, the final coordinates were transformed to a coordinate system based on the Universal Transverse Mercator projection. Comparison of the flag coordinates for each of the two survey epochs then revealed the total movement, daily movement, bearing of the movement, total ablation during the survey period, and the daily ablation rate. These data were determined by standard trigonometric procedures as outlined by McGee (1993) and are presented in Appendix 6. Plots of the movement are shown in Appendix 7. 2.3 Terrestrial Survey Methods While the use of GPS equipment on the Juneau Icefield is increasing, reliance on traditional terrestrial survey methods remains necessary. Several factors contribute to this. The steep topography of the Gilkey Trench, in particular, negates the exclusive use of GPS due to vertical obstructions greater than 15° above the horizon in most directions. Expedition logistics, difficult access to the Trench, and lack of generator support for recharging GPS batteries also contribute to the continued use of terrestrial methods. The complex logistics of expedition planning often require that all GPS equipment be evacuated from the Icefield in early August, thus the traditional movement profiles in the Camp 8 and Camp 18 areas must also rely on terrestrial surveys. All terrestrial surveys on the Icefield utilized Wild T-2 optical theodolites and electronic distance measuring devices (EDMs). While the method used is standard surveying practice, and is well known within the surveying profession, a general outline of the methodology used will be given here so as to give a complete record of the terrestrial survey activities and also to demonstrate the validity of the surveys. All terrestrial surveys during the 1994 JIRP field season relied on the polar survey method whereby the horizontal angle, vertical angle, and slope distance were measured. Once the movement profiles were established, the theodolite and EDM were set up on a known point within the Gilkey Local Network (a point within the Taku network was used for the survey of Profile 7) and a second known point within the network was sighted. This second point served as the reference point from which the individual movement flag observations were reduced. Two to three sets of face left and face right sightings were then taken to each flag in the movement profile. Concurrently, a team of assistants occupied each 6 flag with prisms allowing for three EDM slope distances to be measured. The instrument height, prism height, atmospheric temperature, and atmospheric pressure were also recorded, and a correction for atmospheric conditions was applied to the measured slope distances. The mean of the horizontal and vertical observations for each flag were then calculated and the horizontal angles were reduced with respect to the reference point. The mean vertical angles and slope distances were used to determine the horizontal distance from the survey point to the individual flags. Flag coordinates for each survey epoch were then calculated, and the total flag movement, daily movement, and bearing of movement were calculated using the method outlined by McGee (1993). Appendix 5 lists the flag coordinates for each epoch and Appendix 6 presents the movement data. Plots of the movement are shown in Appendix 7. 3. Results of Surveys The surveys conducted during the 1994 field season, while maintaining the continuous record of movement surveys, also focused on several other areas of interest. Most notably, a resurvey of the terminus of the Taku Glacier was performed. This resurvey, when compared to the terminal position of previous years, reveals the recent slow advancement of the glacier. Profile 4 on the Taku Glacier, due to its close proximity to Camp 10 and its easy access, received close attention in the form of surveys to determine strain rates, and also to determine changes in mass balance of the profile from year to year. An on-going project in the Gilkey Trench was continued again during 1994 in an effort to determine actual year-toyear movement of six profiles. Unlike surveys conducted in the accumulation zone, the surveys in the Trench relied on the relocation of flags from previous years. This enabled actual yearly movement, as opposed to summertime daily movement, to be determined. One other interesting, and important aspect of the 1994 GPS surveys was the acquisition and evaluation of movement profile surface elevations. These data are particularly relevant to mass balance and climatological studies conducted by other researchers. 3.1 Movement Profiles Profile 1 This year marked the first time that a surface movement survey was conducted on Profile 1. This profile was first established by Thomas Poulter in 1949 as part of his seismic refraction studies of glacier thickness. Extending in a line across the lower Taku Glacier between Norris Mountain and the Brassiere Hills, this profile marks the approximate terminus position of 1890. Today, the terminus is some 5 kilometers down valley to the southeast. The location of Profile 1 also coincides with the narrowest cross-section of the Taku Glacier’s valley system. Not surprisingly, the maximum daily movement rate measured was among the greatest observed on the Taku Glacier, second only to the movement at Profile 2. Because this profile was surveyed via GPS, the very long baseline between established benchmarks in the Taku Local Network in the Camp 10 sector and the location of Profile 1 dictated that a temporary GPS reference station be established. This point was located at Camp 12, giving a maximum baseline length of 3.3 kilometers. The absolute accuracy of the 7 observed flag positions is 20 meters in the horizontal and 30 meters in the vertical. However, the accuracy of the relative horizontal positions between the reference and roving receivers is within the 5 mm ± 1 ppm tolerance cited earlier and the relative accuracy of the vertical positions is approximately 5 cm. This profile experienced the second greatest surface velocity measured on the Taku Glacier during 1994. A maximum rate of 91 cm/day was observed at flag 5, while a minimum of 19 cm/day was found at flag 11. The maximum rate of 91 cm/day was however, extrapolated from a survey epoch of less than 24 hours. Flags 6, 7, 8, and 9 were surveyed over a longer time period and experienced remarkably consistent movement rates of 80-86 cm/day. Because flag 5 was located in the central area of the profile near these flags, and because the crevasse pattern was consistent from flag 4 to flag 9, it may be assumed that the flow rate at flag 5 is not significantly different from that at flags 6, 7, 8, and 9. Examination of the surface flow profile reveals a rectilinear mode of surface flow across the central portion of the glacier and more of a parabolic flow profile along the margins. Velocity variations of 20 to 50 cm/day exist between the marginal ice and the central portions of the glacier, resulting in marginal shear zones on the east and west sides of the profile. This is particularly true on the eastern margin. Flag 11, located approximately 100 meters from the bedrock of the Brassiere Hills, was observed to be moving at a rate of 19 cm/day, while flag 10, located 233 meters to the west had an observed movement of 60 cm/day. A increase in crevassing between flag 10 and the base of the Brassiere Hills provided additional evidence of the marginal shear zone. The boundaries of the shear zone however, were not as clearly delineated or abrupt as would be expected from a true rectilinear flow profile — particularly when compared to the well-defined marginal shear zones at Profile 2. Movement on the western margin of the profile also reflected this characteristic, although to a slightly lesser degree. The surface flow profile is shown in the plot in Appendix 7. As can be seen, the surface movement increases from the margins along a transverse, cross-glacier line. The greatest rate of increase is seen within about 300 meters of the margins, with the rate of increase declining, and indeed remaining fairly constant, across the central area of the profile. The use of GPS equipment in the surveying of this profile provided significant data pertaining to the surface elevation profile. With a relative accuracy of approximately 5 cm, the surface elevation was determined to a high degree. This is particularly significant with respect to the advancement of the Taku Glacier. As the Taku continues to advance, a corresponding rise in the surface elevation will occur, and this rise can best be detected through continued GPS monitoring. Graphic evidence of the surface rise was discovered on the eastern margin of the glacier, at the base of the Brassiere Hills. As the glacier has continued its recent advance, it has thickened and is now encroaching on, and toppling, mature spruce and hemlock on the flanks of the Brassiere Hills. At one particular location, the ice was seen bearing directly on the trunk of a living spruce tree, which under the stress had developed a 5 cm wide crack extending vertically up the trunk for about 2 meters. The ice had even advanced into the crack, undoubtedly contributing to further weakening of the tree. Several other trees in the immediate vicinity had already been toppled by the ice and had been stripped bare of all branches. Continued GPS measurements along Profile 1 can detect important surface movement and elevation changes, thus aiding in the prediction of continued advance, stagnation, or retreat of the Taku Glacier terminus 5 km away. The mean daily ablation during the survey period was 9.7 cm and the standard deviation 8 of the daily ablation was 4 cm. Profile 2 This profile, located 12 kilometers downglacier from Camp 10, was at the site of the transient snow line at the time of survey. Extending across the Taku Glacier from Goat Ridge on the east to Slanting Peak on the west, it is also the current location of drilling equipment used to drill a borehole at Profile 4 in 1950. The significance of the location of this profile is that it is located just down-glacier from the convergence of all the Taku Glacier’s major tributary glaciers. Thus it marks the transition between the numerous highland glaciers which converge to form the main mass of the Taku Glacier and the point at which it becomes a true valley glacier. This transition is also coincident with the transient snow line. The Taku Glacier becomes significantly constricted as it enters the bottleneck between Goat Ridge and Slanting Peak. At Camp 10, the width of the glacier is approximately 5.4 kilometers, while its width at Profile 2 is 3.4 kilometers. This represents a 37% decrease in width over a linear distance of 12 kilometers. This, in combination with the general location of the firn line, gave the greatest measured surface movement on the Taku Glacier in 1994. Using GPS methods, a maximum movement of 93 cm/day was obtained at flag 7, while the minimum was 57 cm/day at flag 1, at the eastern end of the profile. Surface movement at this profile reveals that the Taku Glacier has a rectilinear mode of flow at Profile 2. Well defined and heavily crevassed shear zones exist at both the eastern and western margins of the glacier. In fact, the movement for flag 12 could not be determined because it was located in a very heavily crevassed area that could not be reached on foot for the initial survey. This flag was placed with the aid of helicopter support on the day of the first survey, and unfortunately due to logistics, could not be occupied using the helicopter. Snow and ice conditions four days later were such that the flag was able to be occupied at the time of the resurvey, thus giving at least the position of the flag. A plot of the surface flow profile is shown in Appendix 7. The surface elevation as determined by GPS reveals a mean height of 806.18 meters. The western third of the profile, beginning at flag 8, is slightly higher than the rest of the profile. Average ablation was 11.9 cm/day and the standard deviation of the daily ablation was 2.2 cm. Profile 3 The position of Profile 3 is approximately 6 kilometers downglacier from Camp 10 on the Demorest Glacier. Located roughly one kilometer upglacier from the convergence of the Demorest and Taku, the profile stretches between Taku A and the north ridge of Peak 4785, a satellite peak of Hodgkins Peak. These two mountains (Taku A and Peak 4785) form a gateway 2.6 kilometers wide through which all ice of the eastern accumulation zone of the Taku Glacier must pass. The siting of the profile at this location is significant because it allows the flow of the entire eastern accumulation zone to be monitored. Examination of the surface flow profile reveals a mode of flow somewhere between parabolic and rectilinear. As measured via GPS, the movement of flags 3 through 9 is remarkably consistent, ranging from 25 cm/day to 28 cm/day; this across a distance of 1,129 meters. This consistent rate of flow gives a good indication of rectilinear, or “plug” flow in 9 the central portion of the Demorest Glacier. The flow profile along the margins however, does not reflect a true rectilinear flow mode (see Appendix 7). The lack of chaotic, welldefined marginal shear zones supports this conclusion. While there is significant crevassing at the southeast margin, this is more likely due to its close proximity to the convergence zone of the Taku and Demorest glaciers, where the strong influence of the Taku’s flow is manifested in deformation and crevassing of the Demorest Glacier. The northwest end of the profile, being approximately 1.5 kilometers upglacier from the convergence zone, is not significantly affected by the movement of the Taku Glacier, and thus is not heavily crevassed. In fact, the trend of the few crevasses in the area is consistent with a parabolic mode of flow. The maximum rate of flow measured at this profile was 28 cm/day at flag 8, while the minimum was 17 cm/day at flag 12. The average surface elevation was 1,016.39 meters. The vertical cross-section (see Appendix 9) shows a slight depression in the center of the profile, flanked by a slight rise to the northwest and a greater rise to the southeast. The mean daily ablation during the survey period was 6.3 cm with a standard deviation of 0.9 cm. Profile 4 Profile 4 has the longest continuous record of surface movement of any profile on the Juneau Icefield, having been first surveyed in 1949 and subsequently every year since. Its close proximity to Camp 10 and easy access makes it an ideal location to carry out long-term studies. Indeed, this profile has been the focus of much previous research. The first glacier borehole drilled on the Juneau Icefield was done here in 1950; seismic refraction and ice radar studies have been conducted to determine the depth of the ice; surface strain rates have been measured; and of course a record of surface movement has been collected dating back to 1946. In terms of glaciological data gathered, Profile 4 has been an extremely valuable asset. This profile is located in the central sector of the Taku Glacier, extending across the glacier from Camp 10 to the northeast ridge of Shoehorn Mountain, a distance of 5.4 kilometers, making it the longest profile on the Taku Glacier. All accumulation within the northern and western sectors of the Taku system passes through this profile, after which the flow from the Southwest Branch and the Demorest Glacier (representing the eastern accumulation sector of the Taku system) joins to comprise the flow of the entire accumulation area of the Taku. This profile was the location of several interesting survey projects during 1994. In addition to surface movement, strain rate and mass balance studies were done. This required a total of 31 movement flags, arranged in two parallel lines perpendicular to the flow. These two lines, with 16 flags on the down-glacier line and 15 flags on the up-glacier line, were offset so as to form a series of triangles across the Taku Glacier. The easting, northing, and height coordinates obtained from each flag provided the basis from which the various analyses were made. Examination of the surface flow profile appears to reveal a rectilinear mode of flow, with the possibility of a slightly parabolic mode on both the northeast and southwest margins. While Profile 4 exhibits an overall rectilinear flow mode, it is however, not as pronounced as that at Profiles II and III. The maximum rates of flow, as determined by GPS, were found to be between flags 11 and 24. With a flow variance from 50-60 cm/day (a standard deviation 10 of 3.2 cm) over a horizontal distance of 2,277 meters, this indicates that the central portion of Profile 4 is moving as a coherent block, and is corroborated by an absence of crevasses in this area. Significant chevron crevasse patterns along both margins of the profile clearly delineate the marginal shear zones and help to identify the transition from rectilinear flow to marginal parabolic flow. These zones are easily identified by comparing the standard deviation of flow with that of the central portion of the profile. The northeast margin has a standard deviation of flow of 15.3 cm across a horizontal distance of 930 meters, while the southwest margin has a standard deviation of 16.5 cm across a horizontal distance of 1,063 meters. The maximum movement measured was 60 cm/day at flags 17, 18, and 19, and the minimum was 1 cm/day at flag 1. Surface elevation ranged from 1,098.20 meters at flag 15 to 1,127.46 meters at flag 31. Mean daily ablation was 6.2 cm with a standard deviation of 1.4 cm. Profile 5 Profile 5 was located on the Southwest Branch of the Taku Glacier approximately 600 meters upglacier from its confluence with the Taku. Extending between Juncture Peak and the north ridge of Peak 4066, the profile was composed of 12 flags over a distance of 2.2 kilometers. This profile exhibited the lowest magnitude of flow of all the profiles surveyed on the Taku Glacier. With a relatively small accumulation area of 32 km2, this low magnitude of flow is to be expected. Unlike Profiles 3, 4, 6, and 7a, which each measure the flow of multiple branches and much larger accumulation areas, this profile is on a single glacier, with no tributaries entering it. The maximum movement measured at Profile 5, as measured via GPS methods, was 9 cm/day, while the lowest was 1 cm/day. The flow profile reveals a true parabolic mode of flow, indicating that the flow regime of the Southwest Branch is not as vigorous as that of the rest of the Taku system. The absence of significant crevassing gives an indication of the low energy nature of flow at this profile, which is further corroborated by the measured flow rates. The mean surface elevation was 1,053.3 meters. As can be seen in Appendix 8, the surface elevation of the southeast end of the profile was approximately 24 meters higher than the northwest end. Mean daily ablation was 5.4 cm and the standard deviation of the daily ablation was 0.6 cm. Profile 6 Located between Peak 5810 (Taku D) and Taku Northwest, this profile is approximately 5 km down-glacier from a crestal divide between the southern Taku Glacier and a minor northward-flowing branch of the Taku that ultimately spills into Avalanche Canyon and the Gilkey Trench sector of the Juneau Icefield. The flow of the western accumulation area of the Taku system, out of which flow Mendenhall, Eagle, Herbert, and several other smaller glaciers, passes through Profile 6, making this profile an important element in the continued monitoring of surface elevations and flow rates. Profile 6 was 5 kilometers wide, making it the second longest profile measured on the Icefield, surpassed only by Profile 4 with a width of 5.4 kilometers. 11 Examination of the surface flow profile reveals a parabolic mode of flow, with a slight asymmetric shift of the maximum movement toward the southwest two-thirds of the profile. This is most likely indicative of the buried southwest ridge of Taku D, which tends to inhibit the flow of ice in the area of flags 14, 15, and 16. In fact, these flags exhibited the lowest flow rates at Profile 6, with the minimum movement of 1 cm/day observed at flag 16. The maximum movement was seen at flag 8, with a rate of 32 cm/day. Examining the flow Profile 1n Appendix 7 reveals an apparent movement anomaly at flag 5. With a mean daily movement rate of 18 cm, this is in sharp contrast with the movement observed at the adjacent flags 4 and 6, which had daily movements of 25 cm and 30 cm, respectively. This is explained by the fact that flag 5 had ablated out and fallen over between the initial survey and the resurvey. The flag was repositioned at the time of the resurvey, but was unfortunately relocated in a different position, thereby giving the anomalous movement rate. The magnitude of crevassing at this profile was minimal, with a typical pattern of marginal shear crevasses and a central crevasse-free area seen. The absence of major crevasse zones, in conjunction with the observed moderate rates of flow, gives a strong indication of low-energy parabolic flow at this profile. The mean surface elevation of Profile 6 was 1,260.6 meters. As shown in Appendix 8, the surface elevation of the southwest end of the profile was approximately 14 meters higher than the northeast end. Mean daily ablation was 10 cm and the standard deviation of the daily ablation was 0.7 cm. The total and mean daily movement for all flags was obtained, except for flag 2. Hardware problems with the GPS equipment prevented the initial survey of this flag on July 25. However, the flag was surveyed on August 5, giving at least the location of the flag with respect to the others in the profile. Profile 7a Located on the Matthes Glacier approximately 700 meters up-glacier from its confluence with the Taku Glacier, Profile 7a was composed of 14 flags spanning a distance of 2.8 kilometers. Its location between Peak 5030 (Taku C) and Peak 5810 (Taku D) formed a near right angle with respect to the orientation of Profile 6. The Matthes Glacier is an important part of the on-going flow regime and mass balance monitoring of the Taku Glacier because it encompasses the highest elevation névés of the Taku system. This area has experienced strongly positive accumulation in recent years, thus making it vitally important to determine the temporal and spatial changes in flow regime and mass balance. The surface flow profile at Profile 7a indicates some combination of parabolic and rectilinear flow. It also suggests the presence of an asymmetric channel because the greatest rates of flow are concentrated along the southeast half of the profile. Crevassing was minimal at the northwest margin of the Matthes, with only a few typical marginal shear crevasses present. The minimum daily movement of 1 cm/day was observed at flag 1, which increased to a maximum of 43 cm/day at flags 8, 9, and 10. A central coherent “plug” of the Matthes Glacier is apparently delineated by flags 7 through 11, which had daily movements ranging from 41 cm/day to 43 cm/day. This is a deviation of only 2 cm/day over a linear distance of 890 meters. This area is free of crevasses, giving additional evidence of the absence of shear stresses. Significant crevasses were present at the southeast margin of the profile near the base of Taku C. At a distance of approximately 450 meters from the bedrock of Taku C, flag 14 had a daily movement of 28 cm/day. Contrast this with the daily movement of 4 cm/day at 12 flag 2, also approximately 450 meters from the base of Taku D, and it can be seen that the magnitude of movement is significantly greater along the southeast half of the profile. The higher movement rates here give rise to the well defined marginal shear zone, and indicate a more rectilinear mode of flow than that seen along the northwest half of the profile. The average surface elevation of Profile 7a was 1,275.6 meters, with the southeast end of the profile being 28 meters higher than the northwest end. The mean daily ablation was 10 cm/day, and the standard deviation of the ablation measurements was 1.5 cm. Profile 7 Profile 7 was located on the Matthes Glacier approximately 4.7 kilometers upglacier from Profile 7a, and had 12 flags which extended 3.8 kilometers across the glacier from Camp 9 to the southeast ridge of Centurian Peak. This was one of three profiles on the Taku Glacier system that was surveyed via terrestrial methods. As can be seen in the surface movement plot in Appendix 7, the movement vectors are more erratic than are the vectors for the GPS surveyed profiles. Unfortunately, the survey results are not consistent with the observed crevasse patterns in the area of the profile. For example, the movement of flags 4 through 9, as shown on the movement vector plot, would indicate the presence of significant shear crevasses. This was however, not the case — this area was, for the most part, free of crevasses. The movement of flags 10, 11, and 12 was estimated because these flags were beyond the range of the EDM. The estimated movement is very approximate and cannot be trusted to a high degree. Because of this, it is not possible to determine, with high confidence, the mode of flow at this profile. Judging from the crevasse patterns however, it may be assumed that a parabolic mode of flow exists here. There are several reasons for the inaccuracies contained in this survey. The first survey was performed on August 13, with the resurvey being done only 3 days later. This, combined with the slower movement at Profile 7 and the use of terrestrial methods, meant that the movement could not be determined with a high degree of accuracy. Likewise, surface elevation and ablation measurements are only rough approximates. Future surveys at this profile should utilize GPS methods, thus giving more accurate interpretations of the surface flow regime. Profile 8 This profile was located in the area of the highest elevation névé of the Taku Glacier at an approximate elevation of 1,800 meters, and covered a distance of 2.9 kilometers from the south ridge of Blizzard Peak to Camp 8. It was also the farthest up-glacier profile surveyed on the Taku Glacier, being only 4 kilometers from the divide between the north flowing Llewellyn Glacier and the south flowing Taku Glacier. Like Profile 7, this profile was also surveyed via terrestrial methods, which limited the maximum distance to the furthest flag. The distance from the survey point (FFGR 39) to the base of the Camp 8 slope was 4.8 kilometers. Due to the known limited long-range capabilities of the EDM however, the last flag of the profile was placed 3 kilometers from the survey station, leaving nearly 2 kilometers of the Taku Glacier between Blizzard Peak and Camp 8 unsurveyed. Unlike the survey of Profile 7 however, atmospheric conditions were 13 such that reflections were obtained at the extreme limit of the EDM’s range. Because this profile was surveyed with terrestrial methods, the resolution of the movement data is not as precise as that obtained via GPS methods. This makes it more difficult to interpret the flow profile to determine the mode of flow. This is particularly true in light of the fact that 40% of the profile from Blizzard Peak to Camp 8 was not surveyed. An additional complication arises from the fact that flags 1, 2, and 3 were located on the slope of the Blizzard Peak survey point. As shown on the movement vector plot in Appendix 7, it can be seen that these flags reflect the local down-slope movement rather than the movement of the Matthes Glacier proper. The measured movement at flag 14 is erroneous because the difference in flow between it and flag 13 (11 cm/day over a linear distance of 286 meters) would suggest the presence of significant shear crevassing between these two flags. Crevasses did not exist at this location. From the limited data that was collected however, it appears that a parabolic mode of flow may exist here. Future GPS surveys should be conducted here to properly quantify the flow characteristics of Profile 8. Upper Vaughan Lewis Profile This profile was located at the head of the Vaughan Lewis Icefall in the Camp 18 sector. This was the only profile, with the exception of the profiles in the Gilkey Trench, not located on the Taku Glacier or its tributaries. Ten flags were located approximately 1.3 kilometers upglacier from Camp 18 in the crevasse zone of the extreme upper Vaughan Lewis Icefall. This was an extensive zone of crescentic, concave down-glacier crevasses, and is characterized by extending flow. Unlike all other profiles which formed more or less straight transects, this profile followed the crescentic trend of the crevasses, forming an arc between the extreme eastern end of the Camp 18 cleaver and the northeast ridge of Mammary Peak. Like Profiles VII and VIII, this profile was surveyed with terrestrial methods. Unlike the other two profiles however, the data collected for this profile is more reliable due to the close proximity of all ten flags to the survey point. The maximum distance from the survey point to the last flag was 1.5 kilometers — well within the EDMs 3 kilometer range. Appendix 7 illustrates the movement vectors for the Vaughan Lewis profile. The flow lines cross each other on the plot only because of the exaggeration of the scale of movement with respect to the scale of the map. The actual movement vectors do not cross on the glacier until they have moved into the chaotic, surging flow of the icefall proper. The maximum movement rate was 35 cm/day at flag 5 and the minimum was 13 cm/day at flag 8. The direction of the movement at flags 2 and 10 is not consistent with the overall direction of movement, or with the aspect of the slopes upon which they were located. It is therefore likely that the survey data for these two flags is erroneous. The mean surface elevation, as calculated with trigonometric height methods, was 1,552.7 meters. The Gilkey local network provided the vertical datum for the height measurements. 3.2 Taku Profile 4 Mass Balance Survey Mass balance studies on the Juneau Icefield rely on ground-based observations obtained from test pit studies and meteorological records. Focusing primarily on the accumulation regime, the objective of the mass balance program is to determine the amount of water equivalent remaining at the end of the ablation season. The methods employed provide 14 detailed information about the stratigraphy of the firn pack and the thickness of the annual accumulation layer. Detecting changes in the surface elevation of the glacier however, cannot be ascertained with test pit methods. With the advent of GPS-based surveying on the Juneau Icefield it has become possible to accurately monitor the surface elevation changes of the Taku Glacier. This GPS obtained survey data, in conjunction with desktop personal computers and sophisticated surface modeling software, allows detailed analyses of temporal and spatial changes of the surface morphology to be performed. Consequently, it is now possible to gain a much more detailed three-dimensional visualization and understanding of the accumulation regime of the Taku Glacier. In 1993 Profile 4 was established as a double profile. This consisted of two parallel lines of flags set perpendicular to the glacier flow. The two lines were offset so as to form a series of triangles between the up-glacier and down-glacier lines. This configuration allowed for the collection of surface movement, strain rate, mass balance, and elevation data from one set of observations. Profile 4 survey data collected in 1993 serves as the baseline from which the 1994 data, and future mass balance survey data can be compared. This season, the mass balance survey of Profile 4 was continued. Four additional flags (two each on the up-glacier and down-glacier lines) were added to the southwest end of the Profile 1n order to extend it to the base of Shoehorn Peak. All flags were surveyed in from the origin of the Taku Local Network at Camp 10 (FFGR 19), with FFGR 19.1 as the primary reference point. The horizontal angle, vertical angle, and slope distance obtained from the 1993 survey were used to determine the flag locations in 1994. These data are shown in Appendix 2. The mean positional accuracy of the placement of the flags in 1994, as compared to their locations in 1993, was 2.738 ± 0.772 meters. To ensure consistency of year-to-year comparisons, it is critical that all future mass balance surveys of Profile 4 be based on easting and northing flag coordinates derived from the terrestrial survey observations of July 20, 1993. The mass balance survey of Profile 4 was a multi-phase process. The first step was to perform the GPS survey to determine the easting, northing, and height coordinates of the flags. Using a surface modeling program called Surfer, these data then served as the basis of constructing a three-dimensional model of the surface of Profile 4. Refer to McGee (1994) for a detailed discussion of the application of surface modeling to mass balance studies. Briefly, the method involved constructing a 2 meter by 2 meter regularly-spaced grid from the irregularly-spaced movement data. Grid nodes (i.e., the intersection of easting and northing coordinates) not located at a surveyed data point location were interpolated with a linear krigging algorithm. The parameters used for the gridding operation are shown in Appendix 10. The generated grid covered an area of 9 km2 and included areas outside the extent of Profile 4. Because interpolation is not accurate in those areas where survey data were not collected, it was necessary to disregard — or blank — these areas. A blanking file, containing a series of easting and northing coordinates that define a closed polygon, was used to set the Z coordinate of all grid nodes outside the area of Profile 4 to zero. This resulted in a grid of X, Y, and Z coordinates for the profile only. After creating the blanked grid, it was further refined by performing spline smoothing to increase the grid resolution to 1.5 meters. Smoothed grids were thus created from the survey data of July 25, 1993 and July 25, 1994. Krigging is an approximate interpolator, meaning that the algorithm generates a grid 15 based on the X, Y, and Z coordinates of the input data. It attempts to construct an optimum surface that honors the trends contained in the input data, but it does not retain the exact Z coordinate of the input except in the case where the X and Y coordinates of an input point exactly match the X and Y coordinates of an interpolated node. It is therefore very important to have an understanding of the accuracy of the interpolated surface, and this can be done by examining the residuals of the surface. Residuals are given in the same units as the input coordinates—in this case, meters—and reflect the deviation in elevation, at the same X and Y location, between the interpolated surface and the Z coordinate of an input data point. A positive residual indicates that the X, Y coordinate of the input data is above the interpolated surface, while a negative residual shows that the X, Y coordinate of the input data is below the interpolated surface. For example, assume the surveyed easting and northing coordinates of Flag 1 are 487,000 and 6,500,000 respectively, and the elevation is 1,010 meters. The elevation of the interpolated surface at 487,000 meters east and 6,500,000 meters north is 1,010.062 meters. Because the interpolated elevation is above the actual surveyed elevation, this gives a residual of -0.062 meters. By examining the residuals of an interpolated surface it is possible to get an understanding of how well the numerous gridding parameters used to create the grid actually honor the original survey data. As the standard deviation of the residuals decreases, the accuracy of the interpolation increases, thus giving a grid that approximates the true surface to a higher degree. The residuals, and other descriptive statistics, of both survey epochs are shown in Table 3 below. The low standard deviation of the residuals of the two interpolated grids gives an indication of the accuracy of the interpolation, thus providing a high degree of confidence in the generated surface models. This is critically important because the accuracy of the surface model affects the accuracy of the surface area and volume computations needed for the mass balance study. The listed standard deviations of 2.9 cm and 3.2 cm are well within the ±5 cm height tolerance of the GPS equipment, thus providing additional evidence of the fit of the interpolated surfaces to the original survey data. Standard deviation Sum Average Minimum Maximum July 25, 1993 July 25, 1994 0.029 -0.016 -0.001 -0.071 0.055 0.032 -0.016 -0.001 -0.088 0.063 Table 3: Residuals (in meters) of interpolated surface for surveys of Taku Profile 4. After constructing the surface models for the 1993 and 1994 surveys, the volume of the two surfaces was calculated. Basically, this involved determining the volume of firn defined in three dimensions by the interpolated surface at the top, an arbitrary horizontal reference plane at the bottom (the reference plane elevation was set at 1,095 meters), and the X and Y coordinates of the polygon that was used in the blanking operation. Using Surfer, the volume 16 was then computed with the Trapezoidal Rule, Simpson’s Rule, and Simpson’s 3/8 Rule algorithms. The mean volume for the July 25, 1993 survey was 13,619,833 ± 981 m3 and the mean volume for the July 25, 1994 survey was 13,795,700 ± 953 m3. Because the elapsed time between the 1993 and 1994 surveys was 366 days it was necessary to adjust the calculated volume of the 1994 survey by factoring in the mean daily ablation for one day, giving an adjusted survey period of 365 days. Between July 25, 1994 and August 5, 1994, the mean daily ablation for Profile 4 was 6.2 cm. This value was then added to the Z value of all grid nodes in the interpolated grid of July 25, 1994, giving a new grid representing the surface of the profile on July 24, 1994. The volume defined by this surface and the reference plane was 13,859,100 ± 953 m3 and its surface area was 1,014,420 m2. The volume between the 1993 surface and the adjusted 1994 surface was then calculated with the three volume algorithms in Surfer. This involved specifying an upper surface (July 24, 1994) and a lower surface (July 25, 1993), between which the volume was determined. This gave a net yearly accumulation of 239,265 ± 11 m3 over a surface area of 1,014,317 m2 from July 25, 1993 to July 24, 1994. This equates to a mean rise in surface elevation of 23.6 cm, with the vertical tolerance being equal to the accuracy of the original GPS height determination of ±5 cm. The interpolated surface of Profile 4 is shown in Appendix 11 and depicts the surface and volume above the 1,095 meter reference plane for the July 25, 1994 survey. The surface for the July 25, 1993 survey is similar but not shown because the difference between it and the 1994 surface is not visible at the scale shown. By constructing surface models of Profile 4 it is possible to gain an in-depth understanding of not only the temporal surface changes, but also the spatial changes. For example, we know that the surface of Profile 4 was 23.6 cm higher in 1994 than in 1993. But was this evenly distributed across the profile, or was the accumulation greater in some areas and less in others? Where was the most accumulation? Where was the least? These questions can be answered by constructing a grid of the spatial distribution of accumulation based on the height difference between the 1993 and 1994 surfaces. The net accumulation from July 25, 1993 to July 24, 1994 was positive, however the spatial distribution pattern was in fact both positive and negative. This is graphically illustrated in the spatial distribution surface map and contour map shown in Appendix 11. Referring to the contour map, those areas depicted by blue shading represent positive accumulation while the red shaded areas are those that experienced negative accumulation. This is for the time period of July 25, 1993 to July 24, 1994. The total positive volume, as calculated by the Trapezoidal Rule only, was 245,023 m3, and the total negative volume was 5,754 m3, giving a net accumulation of 239,269 m3. In terms of the surface area, 92.3% of the profile had a positive balance, while 7.7% had a negative balance. See Appendix 11 for additional details concerning surface area and volume computations for each survey epoch and the mass balance regime of Profile 4 from 1993 to 1994; summary statistics are presented below. 17 Volume above 1,095 meters (7-25-93) 13,619,833 ± 981 m3 Volume above 1,095 meters (7-24-94) 13,859,100 ± 953 m3 Volume between 1993 and 1994 surfaces Surface area of Profile 4 (7-24-94) 239,265 ± 11 m3 1,014,420 m2 % of surface area with positive balance 92.4% % of surface area with negative balance 7.6% Rise in surface elevation (7-25-93 to 7-24-94) 23.6 cm ± 5 cm Table 4: GPS mass balance survey of Taku Profile 4. Initial survey performed on July 25, 1993. Resurvey performed July 25, 1994 (adjusted to July 24, 1994). Time interval: 365 days. 3.3 Taku Profile 4 Strain Rate Analysis The major geodetic activities during 1994 focused on surface movement surveys and mass balance determination of Profile 4. These surveys provide important information concerning the direction and magnitude of surface movement, and on the spatial and temporal distribution of accumulation, but do not address the stress/strain regime. In order to more fully understand the dynamics of glacier movement it is necessary to determine strain rates and the direction of the maximum and minimum principle strains. An understanding of the vertical component of glacier movement is also gained by examining the strain regime. All strain rate calculations for Profile 4 were derived from the easting and northing coordinates for each flag. These coordinates were obtained via differential GPS survey methods, with a relative accuracy of approximately 5-10 mm. The double profile configuration of Profile 4 yielded 29 individual strain triangles, the points of which were defined by the movement flags. Triangle 1 was composed of flags 1, 2, and 3; triangle 2 was composed of flags 2, 3, and 4; triangle 3 was composed of flags 3, 4, and 5; and so on to triangle 29, which was composed of flags 29, 30, and 31. For each triangle, the easting and northing coordinates were used to solve the triangle for the horizontal length of the three sides and the three interior angles. Each triangle of Profile 4 was solved for each of two survey epochs — July 25, 1994 and August 5, 1994. Strain rates and the direction of the maximum and minimum principle strains, which together define the strain ellipse, were then derived from these data using the method outlined by Welsch (1987). Briefly, this is an affine coordinate transformation method which determines the strain ellipse based on the deformation of the length of the sides and the interior angles of a triangle. Strain is defined as the change in length of a line divided by its original length, and can be either positive or negative. The maximum principle strain (E1) is the result of tensile stress and the minimum principle strain (E2) reflects compressional stress. Application of the strain equilibrium relationship E1 + E2 + E3 = 0 allows the vertical component (E3) of the three-dimensional strain ellipsoid to be determined. The direction of the maximum strain (θ) is given with respect to true north, with the minimum strain being perpendicular to the maximum strain. The strain is expressed as µstrain-d. 18 Crevasse patterns at Profile 4 indicate the existence of marginal shear zones at the northeast and southwest ends of the profile, with the central area being free of crevasses. The magnitude of crevassing is greater at the northeast margin than at the southeast margin. These empirical observations are corroborated and quantified by the strain rate analysis, as shown by the tables and diagram in Appendix 12. As can be seen from the diagram, the principle strains are greatest in the area of flags 1 to 13. This is also the area of the greatest crevassing. The minimum strains are found in the central portion of the profile (flags 13 to 25), with a slight increase in strain from flags 25 to 31. 3.4 Taku Glacier terminus survey The survey of the Taku terminus was part of an on-going effort by the Juneau Icefield Research Program to monitor the advance of the Taku Glacier. The last such survey conducted by the program was in 1991. This year, as part of the movement surveys on the lower Taku Glacier, the terminus was again surveyed. This survey was performed with terrestrial methods, with Taku Point serving as the survey point, and a small island on the east side of the Taku River and northeast of Taku Point serving as the reference point. The survey station on Taku Point was marked by an iron peg and ring set into the bedrock of the point. A similar iron peg and ring marked the location of the reference point on the island. The current survey reveals a slow advance of the Taku since the 1991 survey. It must be cautioned however, that this was more of a reconnaissance survey rather than a highlyaccurate geodetic survey. Briefly, the method employed utilized a theodolite and EDM at the survey point, while the points to be surveyed along the terminus were occupied with the aid of helicopter support. The need for this helicopter support constrained the time frame for the completion of the survey. Thus, in order to get any data at all, it was necessary to compromise the accuracy of the survey. One important manifestation of this was that only one set of face left readings were taken. Thus, an unknown instrumental error was introduced into the survey data. Additionally, since the observations were taken to the prism being held in the helicopter, it was important that the helicopter hover directly over the extreme edge of the ice. This was not possible at several places and the distance from the helicopter to the ice was roughly estimated by those in the helicopter. The accuracy of this estimation is roughly 5-10 meters. For these reasons, the present survey of the terminus must be considered to be only an approximation to the nearest 5-10 meters. Appendix 13 presents the reduced survey observations and a plot of the data showing the position of the 1994 terminus with respect to its location in 1971. 3.5 Gilkey Trench surveys During the 1990 JIRP field season, six movement profiles were established in the convergence zone of the Gilkey and Vaughan Lewis glaciers. These profiles were unique in that they were located below the equilibrium line on the ice, rather than in the accumulation zone as with all other profiles on the Juneau Icefield. The purpose was to track the actual year-to-year movement of ice through the convergence zone by relocating and resurveying the flags every year. This year, due to most of the surveying focus being placed on the Taku Glacier, time was 19 rather limited, forcing an abbreviated survey of the Gilkey Trench profiles. Of the 50 flags within the convergence zone, only 25 flags (in three profiles), were relocated and surveyed via terrestrial methods. Because the Gilkey Trench surveys are part of a separate study, the results of the surveys are being compiled in a separate report and are not presented here. Refer to Flow Dynamics within a Glacial Convergence Zone (McGee, in progress) for a complete discussion of these surveys. 4. Prospects/recommendations for future surveys Several shortcomings of the 1994 survey program must be addressed and corrected for the 1995 JIRP field season. Chief among these is the need to have access to GPS equipment for the entire program. Height determinations are critically important in tracking the surface elevation changes in both the accumulation and ablation zones. The accuracy of both movement and height determinations for Profiles 7, 8, and the Upper Vaughan Lewis could be dramatically improved with the application of GPS methods. Trigonometric height determinations are not reliable due to the extreme and often unpredictable effects of atmospheric refraction over ice. With the advent of GPS survey methods and equipment, these height determinations can consistently be made to an accuracy of ±5 cm. Future surveys of the Taku Glacier terminus should be done either with GPS or terrestrial methods. If terrestrial methods are used, it is imperative that adequate time be allocated so as to make possible an accurate survey. If possible, helicopter support should be used only for transporting equipment and personnel across the Taku River to the survey and reference points. To the greatest extent possible, points to be surveyed at the terminus should be occupied by ground personnel. With regard to future survey prospects, it is important to continue the GPS survey of Profile 1 that was started in 1994. Because of its close proximity to the terminus, detecting changes in the surface elevation here will allow greater precision in estimates of future advance of the terminus. Continued monitoring of the surface movement will give an indication of the flow regime across an east/west transect, thus making possible predictions of advance or retreat on the east and west sides of the terminus. With more area available on the west side for lateral spreading than on the east, the continued slow advance on the west side may not pose an immediate threat to closure of the Taku River valley. Continued monitoring of Profile 1 will provide critical information relating to the advance or retreat of the terminus only 5 kilometers distant. The use of GPS equipment provides very exacting measurements of surface elevations. However, to do this, it is critical that the height of the GPS receiver above the glacier surface be consistently determined from epoch to epoch. This is illustrated by the chart in Appendix 9. The standard deviation of the ablation measurements ranges from 0.6 cm/day to 4.0 cm/day. This statistic reflects inconsistent measurements of the receiver above the glacier surface. A better method is needed to ensure that the standard deviation of the ablation measurements is consistently low from profile to profile. This can be accomplished by using a board of a standard length and width to flatten the tops of the suncups surrounding a flag to find the mean surface. Determining the antenna offset by measuring from this mean surface to the GPS receiver would help to maximize the accuracy of the ablation measurements, as evidenced by more consistent standard deviations of the ablation from profile to profile. An interesting project to undertake, and one which would provide an unprecedented 20 amount of movement and elevation data throughout the entire Taku Glacier accumulation zone, would be to equip an oversnow vehicle for a completely self-contained, roving 7-10 day GPS mission with two personnel. This could be accomplished simply by using two GPS receivers and moving from site to site from the lower reaches of the accumulation zone up to the crestal divide between the Llewellyn and Taku glaciers. Enough fuel could be transported by sled to provide for the vehicle and for keeping the GPS batteries charged. The massive amount of data provided by this kind of survey mission would, for the first time, make possible some fairly comprehensive GIS analyses of the flow, mass balance, and other dynamics of the Juneau Icefield. 21 References Cited Lang, Martin (1995) Personal communication. McGee, S.R. (in progress) Flow Dynamics within a Glacial Convergence Zone. Foundation for Glacier and Environmental Research, Juneau Icefield Research Program Open File Report. McGee, S.R. (1994) A Comparison of Methods for Determining the Mass Balance of a GPS Surveyed Movement Profile. Foundation for Glacier and Environmental Research, Juneau Icefield Research Program Open File Report. McGee, S.R. (1993) Fundamentals of Glacier Surveying. Foundation for Glacier and Environmental Research, Juneau Icefield Research Program Open File Report. Welsch, W.W. (1987) Computing Principle Strains from the Changes of the Elements of a Triangle. Foundation for Glacier and Environmental Research, Juneau Icefield Research Program Open File Report. Wild Heerbrugg, Inc. (1992) Guidelines to Static and Rapid Static GPS Surveying. Leica Heerbrugg AG, Heerbrug, Switzerland, p. 11. 22 Appendices Appendix 1 Movement Profile Locations Profile Profile 1 (Brassiere Hills) Profile 2 (Goat Ridge) Profile 3 (Demorest Glacier) Profile 4 (Camp 10) Profile 5 (Southwest Branch) Profile 6 (Northwest Branch) Profile 7 (Camp 9) Profile 7a (Taku C to Taku D) Profile 8 (Camp 8) Upper Vaughan Lewis (C-18) Number of Flags Flag Spacing (meters) 11 260 12 236 14 215 31 313** 12 200 16 280 16 293 14 242 16 280 10 155 Bearing From First Flag to Landmarks* (degrees) Bearing From Last Flag to Landmarks* (degrees) Brassiere Hills: 67 Annex Peak: 202 Norris Mt.: 267 Norris Mt.: 254 Slanting Peak: 255 Taku A: 343 Slanting Peak: 258 Taku SW: 222 Taku SW: 244 Taku A: 294 Taku A: 306 Shoehorn Pk.: 230 Shoehorn Pk.: 235 Taku C: 332 Taku C: 12 Taku A: 52 Taku A: 32 Taku SW: 138 Taku SW: 141 Taku D: 38 Taku D: 32 Taku B: 94 Taku B: 122 Exploration Pk.: 212 Exploration Pk.: 154 Taku D: 264 Taku D: 222 Centurian Pk.: 17 Taku C: 140 Taku C: 129 Centurian Pk.: 351 Mt. Moore: 121 Mt. Moore: 108 Mammary Pk.: 245 Mammary Pk.: 275 Typhoon Pk.: 54 Typhoon Pk.: 34 Mammary Pk.: 193 Mammary Pk.: 212 Taku A: 357 Bearing of Profile From First Flag to Last Flag (degrees) 64 249 132 227 139 38 297 126 122 Profile parallels trend of crevasses * All bearings are to the summits of the noted mountains. ** Profile 4 is composed of two parallel lines of flags. The up-glacier line has 15 flags and the down-glacier line has 16 flags. The spacing of flags on each line is approximately 313 meters. A-2 Appendix 2 Profile 4 Flag Positions Flag Horizontal Angle (gons) Vertical Angle (gons) Slope Distance (meters) Horiz. Distance (meters) FFGR 19.1 0.0000 — — — Taku C Upper 391.3556 — — — 1 280.9399 111.2461 348.635 343.209 2 316.9751 107.2506 481.750 478.629 3 281.0705 106.9325 541.761 538.552 4 305.2112 105.3700 664.096 661.735 5 281.1324 105.0839 739.977 737.619 6 298.1726 104.2454 877.870 875.919 7 281.1768 103.9288 992.744 990.854 8 294.3505 103.5406 1,069.190 1,067.537 9 281.1909 103.1371 1,232.582 1,231.086 10 291.6761 102.9980 1,267.551 1,266.146 11 281.2056 102.7177 1,412.802 1,411.515 12 289.2542 102.5273 1,521.446 1,520.247 13 281.2007 102.2201 1,735.224 1,734.169 14 288.4124 102.0243 1,869.972 1,869.027 15 281.2232 101.9951 2,047.698 2,046.693 16 287.4898 101.7149 2,214.844 2,214.040 17 281.2248 101.5685 2,440.900 2,440.159 18 286.4179 101.2900 2,660.418 2,659.872 19 281.2158 101.2190 2,815.703 2,815.187 20 285.8352 101.0184 2,999.245 2,998.861 21 281.2104 100.9475 3,193.115 3,192.761 22 285.4214 100.8367 3,331.832 3,331.544 23 281.2092 100.8232 3,515.786 3,515.492 24 285.2326 100.7465 3,685.114 3,684.861 25 281.2022 100.7162 3,904.213 3,903.966 26 285.1628 100.6633 4,024.123 4,023.905 27 281.2066 100.6461 4,282.840 4,282.619 28 285.1135 100.5808 4,473.231 4,473.045 29 281.2068 100.5365 4,631.347 4,631.183 30 285.0770 100.5236 4,809.039 4,808.876 31 281.2050 100.4535 4,967.534 4,967.408 Survey Point: FFGR 19 (origin) Primary Reference: FFGR 19.1 Secondary Reference: Taku “C” Upper Instrument Height: Prism Height: PPM: 1.5 meters 0.08 meter 32 A-3 Appendix 3 GPS Movement Profile Parameters Profile 1 Reference Receiver Location* Camp 12 Profile 2 FFGR 19.1 12 12.2 30 Profile 3 FFGR 19.1 4.7 6.9 20 Profile 4 FFGR 19.1 0.6 5.2 15 Profile 5 FFGR 19.1 6 7.2 20 Profile 6 FFGR 40 0.6 4.8 15 Profile 7a FFGR 40 0.5 3.2 15 Profile Minimum Baseline Length (km) Maximum Baseline Length (km) 1.3 3.3 Duration of Observation (minutes) 15 A-4 Appendix 4 Juneau Icefield Benchmark Coordinates 1994 GPS SURVEY OF PRIMARY TAKU LOCAL NETWORK BENCHMARKS POINT EASTING (M) NORTHING (M) HEIGHT (M) FGER 19 Camp 12 Scott (FFGR 19.1) Taku D Lower (FFGR 40) 488,016.395 494,284.874 487,977.884 482,616.096 6,503,294.021 6,479,539.752 6,503,375.520 6,509,096.181 TIME 1,161.095 197.000 1,170.000 1,379.471 -* - * Coordinates derived from single point positioning only. NO. FFGR 1 2 2.1 4 5 6 7 8 9 11 12 14 15 16 18 22 23 24 25 26 27 28 29 30 45 C8 39 68 24 43 44 31 49 48 C19 18 12 Mam 63 64 Rub C19TL 4 53 42 N1 N2 34 GILKEY LOCAL NETWORK BENCHMARKS AND COORDINATES EASTING (M) NORTHING (M) 1984 1986 1984 1986 HEIGHT (M) 10,000.00 18,480.30 18,477.30 12,900.16 10,103.65 9,901.52 9,724.82 9,609.27 9,490.60 9,290.01 9,156.11 8,766.81 8,882.11 8,761.79 11,210.57 10,041.30 9,943.28 9,909.40 8,766.03 9,187.79 8,718.01 9,296.85 9,996.26 18,477.48 12,908.47 10,103.67 9,901.52 9,724.73 9,609.08 8,758.74 11,209.02 9,836.29 9,737.09 10,225.06 10,000.00 10,000.00 9,995.63 11,167.37 10,039.16 9,910.67 9,815.97 9,689.25 9,638.69 9,261.48 9,240.95 7,532.72 7,462.77 7,536.02 8,614.24 9,902.01 9,887.49 9,719.44 7,529.61 9,336.88 7,571.27 9,400.40 9,994.09 10,000.00 9,995.63 11,153.44 10,038.88 9,910.67 9,816.18 9,689.52 7,536.46 8,612.84 9,765.22 9,698.66 10,080.62 1,583.06 1,883.86 1,821.25 1,588.48 1,570.29 1,540.64 1,506.41 1,458.61 1,129.73 1,765.13 1,224.19 1,113.02 1,262.80 1,535.32 1,519.09 ST. DEV. (M) 1984 1986 0.07 0.57 0.31 0.08 0.07 0.08 0.09 0.06 0.13 0.13 0.12 0.12 0.11 0.14 0.20 0.07 0.18 0.12 0.13 0.17 0.12 0.01 0.08 0.11 0.01 0.01 0.02 1.03 0.08 0.01 0.01 A-5 NO. 1 1.1 1.2 1.3 1.4 1.5 2 2.1 2.2 3 4 4.1 5 5.1 6 6.1 7 7.1 8 9 9.1 10 10.1 11 12 12.1 13 14 14.1 15 16 17 18 18.1 19.1 TAKU LOCAL NETWORK BENCHMARKS AND COORDINATES NAME EASTING (M) NORTHING (M) ST. DEV. (M) Camp 10, FFGR 19 19B 19D 19C Taku B Lower Camp 10 North SW Taku, Guard. Pt. Guard. Pt. East SW Taku Lower Taku A Taku B Taku B Cairn Taku C Upper Taku C Lower Sunday Point Sunday Point Cairn Taku D Upper Taku D Upper Cairn FFGR 40 (Taku D Lower) Camp 9 Camp 9 Cairn NW Taku NW Taku Cairn Shoehorn Juncture Peak Juncture Peak Lower Bavaria Point Glacier King Glacier King Cairn Camp 10 A Vantage Twin Peak Geodetic Mt. Moore Mt. Moore Cairn Camp 10 Staff Shack 100,000.00 100,347.05 100,220.58 99,971.16 100,247.46 99,941.78 100,000.00 99,978.76 99,980.25 102,664.95 100,467.56 100,466.84 97,384.33 97,343.84 102,485.17 102,460.14 94,374.47 94,375.15 94,099.23 100,770.22 100,771.08 91,051.45 91,051.17 94,946.68 97,487.55 97,889.58 101,585.83 86,228.98 86,230.73 101,301.55 102,289.21 112,440.50 102,822.99 102,824.38 99,954.11 100,000.00 100,402.87 100,427.22 100,117.29 100,479.56 100,103.19 92,581.72 92,584.29 92,644.09 98,597.12 101,298.03 101,297.81 103,314.84 103,197.43 97,534.08 97,603.07 106,005.12 106,008.10 105,295.02 107,475.65 107,474.00 101,055.17 101,053.26 96,534.88 95,081.10 94,718.64 98,219.66 104,936.52 104,935.48 98,703.29 101,212.45 97,641.87 118,267.14 118,270.55 100,077.60 0.04 0.01 0.01 1.52 0.01 HEIGHT (M) 1,177.14 1,238.31 1,250.62 1,194.31 1,139.84 0.01 1.05 0.65 0.52 0.52 0.40 0.38 0.01 0.03 0.42 0.40 0.52 0.72 0.72 0.46 0.46 0.56 0.65 0.01 0.84 0.85 0.02 1.35 4.44 1.64 1.64 1,508.29 1,586.43 1,542.01 1,524.93 1,770.94 1,552.54 1,399.05 1,323.10 1,335.91 1,478.55 1,102.17 1,706.03 2,173.16 A-6 Appendix 5 Movement Profile Flag Coordinates TAKU PROFILE 1 (C-12) — EPOCH 0 EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 494,217.168 6,480,527.259 330.751 08-01-94 18:33 2 494,443.178 6,480,626.168 331.385 08-01-94 18:08 3 494,608.114 6,480,718.216 333.713 08-01-94 17:31 4 494,879.170 6,480,869.278 336.512 08-01-94 16:51 5 495,083.051 6,480,983.097 339.987 08-01-94 16:16 6 495,257.907 6,481,058.543 339.851 07-31-94 14:02 7 495,495.717 6,481,187.963 336.950 07-31-94 14:43 8 495,705.124 6,481,277.956 333.624 07-31-94 15:17 9 495,974.764 6,481,442.704 327.356 07-31-94 15:54 10 496,300.384 6,481,629.596 314.442 07-31-94 16:32 11 496,522.673 6,481,700.827 308.242 07-31-94 17:05 A 494,159.708 6,480,459.049 323.803 08-01-94 14:59 B 494,117.870 6,480,421.168 300.707 07-31-94 17:48 C 494,090.784 6,480,389.767 299.325 07-31-94 18:08 D 494,067.078 6,480,363.448 286.532 07-31-94 18:32 FLAG TAKU PROFILE 1 (C-12) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 494,217.152 6,480,527.050 330.688 08-02-94 11:19 2 494,443.249 6,480,625.851 331.371 08-02-94 11:49 3 494,608.336 6,480,717.745 333.681 08-02-94 12:20 4 494,879.495 6,480,868.683 336.448 08-02-94 12:52 5 495,083.414 6,480,982.351 339.848 08-02-94 14:04 6 495,258.746 6,481,057.171 339.692 08-02-94 13:08 7 495,496.649 6,481,186.614 336.726 08-02-94 12:40 8 495,706.074 6,481,276.803 333.411 08-02-94 12:03 9 495,975.654 6,481,441.552 327.137 08-02-94 11:34 10 496,300.991 6,481,628.714 314.217 08-02-94 11:04 11 496,522.876 6,481,700.567 308.026 08-02-94 10:34 A 494,159.770 6,480,458.774 323.782 08-02-94 10:51 B 494,117.954 6,480,420.995 300.546 08-02-94 10:26 C 494,090.759 6,480,389.714 299.373 08-02-94 09:54 D 494,067.076 6,480,363.328 286.442 08-02-94 09:30 Seismic 4 494,802.304 6,480,937.805 337.124 08-02-94 13:19 Seismic 5 494,992.661 6,481,068.503 341.411 08-02-94 13:50 A-7 TAKU PROFILE 2 (GOAT RIDGE) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 493,236.085 6,492,503.346 800.892 08-03-94 16:21 2 493,053.888 6,492,609.357 804.600 08-03-94 15:30 3 492,828.956 6,492,503.699 803.598 08-03-94 14:39 4 492,606.669 6,492,445.184 803.673 08-03-94 13:41 5 492,419.298 6,492,389.169 804.838 08-03-94 13:21 6 492,167.727 6,492,276.542 802.401 08-03-94 14:07 7 491,840.129 6,492,151.444 803.505 08-03-94 14:50 8 491,593.829 6,492,067.870 807.154 08-03-94 15:42 9 491,460.983 6,492,028.453 807.546 08-03-94 16:27 10 491,305.680 6,491,993.779 808.168 08-03-94 17:11 11 491,085.826 6,491,908.687 808.242 08-03-94 17:49 TAKU PROFILE 2 (GOAT RIDGE) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 493,236.880 6,492,501.230 800.532 08-07-94 16:20 2 493,054.628 6,492,606.688 804.210 08-07-94 15:48 3 492,829.835 6,492,500.478 803.274 08-07-94 15:10 4 492,607.570 6,492,441.971 803.207 08-07-94 14:34 5 492,420.786 6,492,385.869 804.295 08-07-94 13:57 6 492,168.822 6,492,273.049 801.817 08-07-94 13:14 7 491,841.198 6,492,147.949 803.049 08-07-94 13:08 8 491,594.953 6,492,064.499 806.674 08-07-94 13:54 9 491,462.012 6,492,025.049 806.985 08-07-94 14:33 10 491,306.639 6,491,990.499 807.623 08-07-94 15:20 11 491,086.880 6,491,905.972 807.756 08-07-94 16:11 12 490,779.201 6,491,788.063 819.578 08-07-94 17:12 A-8 TAKU PROFILE 3 (DEMOREST) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 492,023.112 6,500,847.545 1,006.809 07-29-94 11:57 2 492,203.159 6,500,683.509 1,010.738 07-29-94 12:23 3 492,366.652 6,500,529.542 1,011.643 07-29-94 12:49 4 492,495.693 6,500,407.794 1,009.832 07-29-94 13:16 5 492,616.579 6,500,294.793 1,008.171 07-29-94 14:02 6 492,742.285 6,500,176.400 1,008.807 07-29-94 14:24 7 492,870.910 6,500,054.973 1,012.828 07-29-94 14:48 8 493,023.924 6,499,910.594 1,019.695 07-29-94 15:10 9 493,189.442 6,499,755.526 1,026.086 07-29-94 15:33 10 493,341.808 6,499,612.160 1,028.323 07-29-94 15:57 11 493,462.744 6,499,498.783 1,027.855 07-29-94 16:19 12 493,630.907 6,499,339.598 1,025.875 07-29-94 16:44 TAKU PROFILE 3 (DEMOREST) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 492,022.214 6,500,846.885 1,006.444 08-04-94 18:47 2 492,201.928 6,500,682.812 1,010.416 08-04-94 18:16 3 492,365.381 6,500,528.602 1,011.262 08-04-94 17:46 4 492,494.444 6,500,406.910 1,009.486 08-04-94 17:13 5 492,615.092 6,500,293.926 1,007.874 08-04-94 16:25 6 492,741.004 6,500,175.640 1,008.430 08-04-94 15:49 7 492,869.605 6,500,054.135 1,012.432 08-04-94 15:20 8 493,022.528 6,499,909.685 1,019.282 08-04-94 14:52 9 493,188.168 6,499,754.556 1,025.759 08-04-94 14:21 10 493,340.814 6,499,611.506 1,027.862 08-04-94 13:50 11 493,461.684 6,499,497.998 1,027.456 08-04-94 13:09 12 493,630.127 6,499,338.961 1,025.424 08-04-94 12:35 A-9 TAKU PROFILE 4 (C-10) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 487,763.573 6,503,062.779 1,099.972 07-25-94 11:38 2 487,545.331 6,503,210.735 1,107.272 07-25-94 12:02 3 487,617.351 6,502,932.266 1,103.229 07-25-94 12:14 4 487,397.026 6,503,060.721 1,106.406 07-25-94 12:35 5 487,471.112 6,502,798.346 1,103.226 07-25-94 13:17 6 487,235.705 6,502,896.786 1,103.874 07-25-94 13:08 7 487,283.723 6,502,627.286 1,101.142 07-25-94 13:52 8 487,096.069 6,502,753.500 1,103.134 07-25-94 13:37 9 487,105.729 6,502,466.337 1,101.860 07-25-94 14:22 10 486,953.252 6,502,607.515 1,103.014 07-25-94 14:01 11 486,972.422 6,502,344.713 1,102.522 07-25-94 14:46 12 486,771.938 6,502,421.586 1,102.161 07-25-94 14:28 13 486,733.587 6,502,127.880 1,101.921 07-25-94 15:15 14 486,501.058 6,502,201.775 1,103.908 07-25-94 14:54 15 486,501.690 6,501,918.115 1,098.200 07-25-94 15:40 16 486,240.012 6,501,974.141 1,102.478 07-25-94 15:20 17 486,210.268 6,501,654.276 1,102.494 07-25-94 16:03 18 485,908.611 6,501,672.647 1,108.595 07-25-94 15:57 19 485,933.062 6,501,401.977 1,108.664 07-25-94 16:31 20 485,656.278 6,501,444.237 1,114.956 07-25-94 16:21 21 485,653.890 6,501,147.926 1,115.129 07-25-94 16:58 22 485,408.867 6,501,222.934 1,118.945 07-25-94 16:53 23 485,489.081 6,500,998.666 1,116.888 07-25-94 17:21 24 485,138.213 6,500,994.571 1,119.782 07-25-94 17:19 25 485,127.275 6,500,670.076 1,119.284 07-25-94 17:47 26 484,875.869 6,500,780.493 1,121.754 07-25-94 17:41 27 484,846.549 6,500,416.496 1,119.669 07-25-94 18:16 28 484,526.551 6,500,497.328 1,121.417 07-25-94 18:05 29 484,587.388 6,500,182.492 1,123.159 07-25-94 19:17 30 484,266.051 6,500,285.441 1,122.906 07-25-94 18:28 31 484,338.380 6,499,956.576 1,127.457 07-25-94 18:54 A-10 TAKU PROFILE 4 (C-10) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 487,763.713 6,503,062.778 1,099.340 08-05-94 11:12 2 487,545.417 6,503,210.614 1,106.787 08-05-94 11:23 3 487,617.627 6,502,932.069 1,102.661 08-05-94 11:37 4 487,397.240 6,503,060.516 1,105.844 08-05-94 11:46 5 487,471.634 6,502,797.851 1,102.624 08-05-94 11:55 6 487,236.635 6,502,895.948 1,103.322 08-05-94 12:10 7 487,285.728 6,502,625.607 1,100.572 08-05-94 12:13 8 487,097.882 6,502,751.834 1,102.492 08-05-94 12:34 9 487,110.021 6,502,464.734 1,101.314 08-05-94 12:32 10 486,956.276 6,502,604.857 1,102.447 08-05-94 12:55 11 486,976.889 6,502,340.099 1,101.899 08-05-94 12:50 12 486,775.971 6,502,417.936 1,101.536 08-05-94 13:45 13 486,738.166 6,502,123.800 1,101.193 08-05-94 13:38 14 486,505.727 6,502,197.828 1,103.207 08-05-94 14:14 15 486,506.610 6,501,913.983 1,097.402 08-05-94 13:59 16 486,245.068 6,501,970.049 1,102.332 08-05-94 14:37 17 486,215.370 6,501,650.185 1,101.637 08-05-94 14:20 18 485,913.910 6,501,668.702 1,107.786 08-05-94 15:03 19 485,938.288 6,501,397.938 1,107.735 08-05-94 14:39 20 485,661.437 6,501,440.271 1,114.046 08-05-94 15:29 21 485,658.930 6,501,144.092 1,114.247 08-05-94 14:58 22 485,413.939 6,501,219.210 1,118.135 08-05-94 15:52 23 485,494.030 6,500,995.106 1,116.006 08-05-94 15:16 24 485,142.709 6,500,991.306 1,119.081 08-05-94 16:14 25 485,131.081 6,500,667.370 1,118.502 08-05-94 15:39 26 484,879.196 6,500,778.132 1,120.987 08-05-94 16:37 27 484,848.616 6,500,415.319 1,118.923 08-05-94 16:02 28 484,527.971 6,500,496.474 1,120.730 08-05-94 17:05 29 484,587.945 6,500,182.334 1,122.593 08-05-94 16:22 30 484,266.485 6,500,285.316 1,122.243 08-05-94 17:36 31 484,338.563 6,499,956.737 1,126.734 08-05-94 16:42 A-11 TAKU PROFILE 5 (SOUTHWEST BRANCH) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 485,752.436 6,498,033.281 1,041.358 07-27-94 13:46 2 485,871.268 6,497,877.221 1,044.112 07-27-94 14:16 3 485,980.050 6,497,734.339 1,047.301 07-27-94 14:43 4 486,121.833 6,497,548.421 1,049.709 07-27-94 15:13 5 486,286.835 6,497,355.626 1,049.387 07-27-94 15:41 6 486,463.491 6,497,151.090 1,049.029 07-27-94 16:09 7 486,597.824 6,496,994.288 1,052.231 07-27-94 16:42 8 486,705.782 6,496,869.016 1,056.598 07-27-94 17:10 9 486,820.791 6,496,735.451 1,060.112 07-27-94 17:39 10 486,916.542 6,496,622.944 1,061.497 07-27-94 18:07 11 487,022.924 6,496,494.431 1,062.541 07-27-94 18:35 12 487,131.905 6,496,361.018 1,065.698 07-27-94 19:01 TAKU PROFILE 5 (SOUTHWEST BRANCH) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 485,752.512 6,498,033.309 1,040.829 08-04-94 11:16 2 485,871.481 6,497,877.335 1,043.704 08-04-94 11:46 3 485,980.412 6,497,734.657 1,046.906 08-04-94 12:10 4 486,122.206 6,497,548.909 1,049.274 08-04-94 12:33 5 486,287.272 6,497,356.222 1,048.992 08-04-94 12:57 6 486,463.938 6,497,151.657 1,048.656 08-04-94 13:47 7 486,598.185 6,496,994.858 1,051.858 08-04-94 14:10 8 486,706.099 6,496,869.583 1,056.133 08-04-94 14:33 9 486,821.108 6,496,736.000 1,059.733 08-04-94 14:54 10 486,916.905 6,496,623.480 1,061.066 08-04-94 15:16 11 487,023.172 6,496,494.849 1,062.110 08-04-94 15:38 12 487,132.074 6,496,361.293 1,065.223 08-04-94 16:01 A-12 TAKU PROFILE 6 (NORTHWEST BRANCH) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 479,601.466 6505444.721 1265.489 07-26-94 19:49 2 * * * 3 479,969.144 * 6,505,908.811 * 1,264.944 07-26-94 19:10 4 480,159.415 6,506,143.806 1,266.360 07-26-94 18:46 5 480,350.026 6,506,380.187 1,268.028 07-26-94 18:26 6 480,541.480 6,506,616.357 1,266.074 07-26-94 18:04 7 480,731.839 6,506,853.614 1,263.649 07-26-94 17:41 8 480,908.349 6,507,073.841 1,261.669 07-26-94 17:14 9 481,085.451 6,507,293.609 1,259.412 07-26-94 16:08 10 481,259.493 6,507,509.711 1,256.426 07-26-94 15:42 11 481,435.146 6,507,726.086 1,254.967 07-26-94 15:21 12 481,611.604 6,507,943.595 1,254.456 07-26-94 14:59 13 481,788.204 6,508,159.791 1,255.452 07-26-94 14:35 14 481,966.327 6,508,377.815 1,255.302 07-26-94 14:13 15 482,145.411 6,508,594.487 1,258.423 07-26-94 13:52 16 482,212.058 6,508,676.502 1,258.940 07-26-94 13:31 TAKU PROFILE 6 (NORTHWEST BRANCH) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 479,602.490 6,505,444.379 1,262.442 08-06-94 12:29 2 479,782.845 6,505,672.631 1,262.112 08-06-94 13:37 3 479,971.572 6,505,908.000 1,263.814 08-06-94 14:03 4 480,161.965 6,506,142.808 1,265.198 08-06-94 14:29 5 480,351.844 6,506,379.356 1,265.010 08-06-94 14:55 6 480,544.550 6,506,615.166 1,264.883 08-06-94 15:20 7 480,734.853 6,506,852.312 1,262.519 08-06-94 15:45 8 480,911.596 6,507,072.381 1,260.487 08-06-94 16:11 9 481,088.498 6,507,292.198 1,258.432 08-06-94 16:37 10 481,262.256 6,507,508.396 1,255.312 08-06-94 17:03 11 481,437.249 6,507,724.922 1,253.888 08-06-94 17:29 12 481,613.021 6,507,942.795 1,253.366 08-06-94 17:57 13 481,789.084 6,508,159.302 1,254.382 08-06-94 18:26 14 481,966.731 6,508,377.559 1,254.231 08-06-94 18:51 15 482,145.550 6,508,594.296 1,257.290 08-06-94 19:16 16 482,212.226 6,508,676.497 1,257.940 08-06-94 19:34 A-13 TAKU PROFILE 7 (C-9) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 100,166.58 107,754.34 1,429.00 08-10-94 - 2 99,860.76 107,886.62 1,425.62 08-10-94 - 3 99,516.99 108,036.20 1,425.82 08-10-94 - 4 99,128.55 108,205.14 1,423.66 08-10-94 - 5 98,793.18 108,350.41 1,421.02 08-10-94 - 6 98,484.79 108,484.86 1,411.14 08-10-94 - 7 98,195.54 108,610.13 1,410.17 08-10-94 - 8 97,884.12 108,744.63 1,420.09 08-10-94 - 9 97,681.03 108,832.91 1,418.40 08-10-94 - (10) (97,272.32) (109,010.94) (1,413.36) 08-10-94 - (11) (96,969.19) (109,141.39) (1,437.29) 08-10-94 - (12) (96,666.59) (109,273.05) ( ) Estimated. Flag was beyond EDM range. (1,451.89) 08-10-94 - TAKU PROFILE 7 (C-9) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 100,166.54 107,754.37 1,428.86 08-13-94 - 2 99,860.66 107,886.54 1,425.44 08-13-94 - 3 99,516.66 108,035.83 1,425.64 08-13-94 - 4 99,128.05 108,204.30 1,423.33 08-13-94 - 5 98,792.75 108,349.87 1,420.89 08-13-94 - 6 98,484.28 108,483.99 1,411.04 08-13-94 - 7 98,195.07 108,609.30 1,410.04 08-13-94 - 8 97,883.71 108,743.78 1,419.81 08-13-94 - 9 97,680.79 108,832.53 1,418.28 08-13-94 - (10) (97,271.95) (109,010.09) (1,413.41) 08-13-94 - (11) (96,969.08) (109,141.14) (1,437.26) 08-13-94 - (12) (96,666.46) (109,272.74) ( ) Estimated. Flag was beyond EDM range. (1,451.71) 08-13-94 - A-14 TAKU PROFILE 7A (LOWER MATTHES) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 483,098.793 6,509,160.893 1,263.099 07-26-94 13:38 2 483,277.144 6,509,029.201 1,263.667 07-26-94 13:59 3 483,457.535 6,508,896.378 1,265.996 07-26-94 14:24 4 483,655.268 6,508,749.004 1,266.623 07-26-94 14:46 5 483,839.686 6,508,612.787 1,265.685 07-26-94 15:06 6 484,020.575 6,508,478.384 1,267.263 07-26-94 15:27 7 484,200.093 6,508,346.402 1,269.529 07-26-94 15:48 8 484,376.834 6,508,215.557 1,270.998 07-26-94 16:09 9 484,555.330 6,508,084.725 1,279.397 07-26-94 16:34 10 484,736.755 6,507,953.131 1,288.282 07-26-94 16:56 11 484,916.731 6,507,819.677 1,290.227 07-26-94 17:38 12 485,096.036 6,507,686.669 1,291.391 07-26-94 18:03 13 485,267.056 6,507,561.181 1,289.779 07-26-94 18:28 14 485,377.382 6,507,475.800 1,286.897 07-26-94 18:57 TAKU PROFILE 7A (LOWER MATTHES) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 483,098.848 6,509,160.885 1,262.360 08-06-94 12:17 2 483,276.800 6,509,028.877 1,262.781 08-06-94 13:07 3 483,456.443 6,508,895.059 1,265.039 08-06-94 13:33 4 483,653.252 6,508,746.804 1,265.668 08-06-94 14:03 5 483,837.122 6,508,610.029 1,264.680 08-06-94 14:29 6 484,017.805 6,508,475.542 1,266.170 08-06-94 14:57 7 484,197.099 6,508,343.051 1,268.413 08-06-94 15:23 8 484,373.622 6,508,212.105 1,269.788 08-06-94 15:49 9 484,551.986 6,508,081.357 1,278.102 08-06-94 16:15 10 484,733.548 6,507,949.725 1,286.999 08-06-94 16:40 11 484,913.709 6,507,816.407 1,288.994 08-06-94 17:04 12 485,093.098 6,507,683.767 1,290.149 08-06-94 17:33 13 485,264.629 6,507,558.550 1,288.571 08-06-94 17:59 14 485,375.317 6,507,473.553 1,285.770 08-06-94 18:25 A-15 TAKU PROFILE 8 (C-8) — EPOCH 0 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 13,140.83 11,074.38 1,764.44 08-11-94 - 2 13,355.85 11,045.34 1,722.98 08-11-94 - 3 13,542.04 11,017.83 1,688.19 08-11-94 - 4 13,799.57 10,975.89 1,672.85 08-11-94 - 5 14,005.90 10,939.47 1,662.83 08-11-94 - 6 14,204.99 10,905.51 1,657.57 08-11-94 - 7 14,423.87 10,864.44 1,654.30 08-11-94 - 8 14,609.21 10,827.21 1,651.45 08-11-94 - 9 14,823.92 10,787.57 1,647.99 08-11-94 - 10 15,012.94 10,752.28 1,646.16 08-11-94 - 11 15,235.60 10,711.63 1,643.80 08-11-94 - 12 15,432.97 10,674.96 1,640.51 08-11-94 - 13 15,680.34 10,629.45 1,636.26 08-11-94 - 14 15,961.27 10,575.88 1,635.43 08-11-94 - TAKU PROFILE 8 (C-8) — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 13,140.92 11,074.42 1,764.09 08-14-94 - 2 13,355.97 11,045.33 1,722.62 08-14-94 - 3 13,542.18 11,017.79 1,687.87 08-14-94 - 4 13,799.68 10,975.57 1,672.58 08-14-94 - 5 14,006.04 10,939.16 1,662.73 08-14-94 - 6 14,205.02 10,904.83 1,657.29 08-14-94 - 7 14,423.87 10,863.79 1,653.91 08-14-94 - 8 14,609.23 10,826.27 1,651.08 08-14-94 - 9 14,823.97 10,786.94 1,647.75 08-14-94 - 10 15,012.99 10,751.58 1,645.93 08-14-94 - 11 15,235.62 10,710.98 1,643.20 08-14-94 - 12 15,433.00 10,674.43 1,640.22 08-14-94 - 13 15,680.39 10,629.06 1,636.12 08-14-94 - 14 15,961.23 10,575.84 1,634.94 08-14-94 - A-16 UPPER VAUGHAN LEWIS PROFILE — EPOCH 0 FLAG DATE TIME 1 EASTING (M) 10,645.11 NORTHING (M) 10,177.22 HEIGHT (M) 1,551.15 08-10-94 - 2 10,699.17 10,134.91 1,549.40 08-10-94 - 3 10,863.11 10,010.83 1,546.53 08-10-94 - 4 10,977.24 9,899.14 1,546.04 08-10-94 - 5 11,083.87 9,738.25 1,547.66 08-10-94 - 6 11,187.35 9,575.70 1,548.69 08-10-94 - 7 11,245.71 9,413.74 1,545.64 08-10-94 - 8 11,262.28 9,276.63 1,554.27 08-10-94 - 9 11,221.71 9,170.25 1,564.70 08-10-94 - 10 11,177.50 9,098.00 1,574.64 08-10-94 - UPPER VAUGHAN LEWIS PROFILE — EPOCH 1 FLAG EASTING (M) NORTHING (M) HEIGHT (M) DATE TIME 1 10,645.13 10,176.82 1,551.11 08-12-94 - 2 10,699.36 10,134.62 1,549.31 08-12-94 - 3 10,862.83 10,010.28 1,546.36 08-12-94 - 4 10,976.80 9,898.62 1,546.03 08-12-94 - 5 11,083.31 9,737.83 1,547.49 08-12-94 - 6 11,186.83 9,575.41 1,548.59 08-12-94 - 7 11,245.32 9,413.64 1,545.59 08-12-94 - 8 11,262.02 9,276.58 1,554.00 08-12-94 - 9 11,221.31 9,170.42 1,564.42 08-12-94 - 10 11,177.66 9,098.55 1,574.58 08-12-94 - A-17 GILKEY PROFILE B FLAG EASTING (M) 2 8,213.792 3 4 NORTHING (M) HEIGHT (M) DATE TIME 7,789.197 891.572 08-15-94 - 8,291.684 6,815.552 867.314 08-15-94 - 7,889.411 7,774.588 878.404 08-15-94 - 5 7,664.362 7,537.993 861.439 08-15-94 - 7 7,379.354 7,715.168 854.489 08-15-94 - 8 7,708.302 7,858.066 869.754 08-15-94 - 9 7,360.632 7,804.258 857.168 08-15-94 - 10 7,487.847 8,013.305 869.381 08-15-94 - 11 7,171.516 7,922.245 857.419 08-15-94 - 12 7,334.552 8,210.467 865.759 08-15-94 - 14 7,181.195 8,496.138 869.042 08-15-94 - 15 6,958.989 8,466.341 861.889 08-15-94 - FLAG EASTING (M) HEIGHT (M) DATE TIME 4 8,035.391 931.648 08-13-94 - HEIGHT (M) DATE TIME GILKEY PROFILE C NORTHING (M) 8,950.475 GILKEY PROFILE D FLAG EASTING (M) NORTHING (M) 1 8,496.884 9,292.518 943.190 08-13-94 - 2 8,426.834 9,412.285 951.815 08-13-94 - 3 8,360.340 9,149.859 945.510 08-13-94 - 4 8,167.235 9,364.420 955.730 08-13-94 - 5 8,182.554 9,106.708 944.538 08-13-94 - 6 7,999.656 9,291.804 953.470 08-13-94 - 7 7,899.782 9,048.594 933.821 08-13-94 - 8 7,868.547 9,218.619 951.184 08-13-94 - 9 7,762.612 9,072.115 936.213 08-13-94 - HEIGHT (M) DATE TIME GILKEY PROFILE E FLAG EASTING (M) NORTHING (M) 1 8,753.313 9,505.229 949.833 08-13-94 - 3 8,761.761 9,345.311 946.267 08-13-94 - A-18 Appendix 6 Movement Vectors and Ablation TAKU PROFILE 1 (C-12) JULY 31 AND AUGUST 1 TO AUGUST 2 MOVEMENT ABLATION FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 0.21 0.30* 204.86 6.3 9.0* 2 0.32 0.44* 185.97 1.4 1.9* 3 0.52 0.66* 171.96 3.2 4.1* 4 0.68 0.81* 168.17 6.4 7.7* 5 0.83 0.91* 171.17 13.9 15.3* 6 1.61 0.82 165.06 15.9 8.1 7 1.64 0.86 161.51 22.4 11.7 8 1.49 0.80 156.13 21.3 11.4 9 1.46 0.80 158.12 21.9 12.1 10 1.07 0.60 161.63 22.5 12.7 11 0.33 0.19 157.80 21.6 12.5 A 0.28 0.34* 185.88 2.1 B 0.19 0.11 171.22 16.1 C 0.06 0.04 228.06 -4.8? -2.9? 9.0 5.6 D 0.12 0.07 201.06 * Extrapolated—measurement period was less than 24 hours. ? Results uncertain 2.5* 9.5 TAKU PROFILE 2 (GOAT RIDGE) AUGUST 3 TO AUGUST 7 MOVEMENT ABLATION FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 2.26 0.57 177.12 36.0 9.0 2 2.77 0.69 182.78 39.0 9.7 3 3.34 0.83 183.04 32.4 8.1 4 3.34 0.83 182.59 46.6 11.5 5 3.62 0.90 173.03 54.3 13.5 6 3.66 0.92 180.66 58.4 14.7 7 3.65 0.93 181.10 45.6 11.6 8 3.55 0.91 179.51 48.0 12.2 9 3.56 0.91 181.31 56.1 14.3 10 3.42 0.87 181.89 54.5 13.9 11 2.91 0.74 176.43 48.6 12.4 A-19 TAKU PROFILE 3 (DEMOREST) JULY 29 TO AUGUST 4 MOVEMENT ABLATION FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 1.11 0.18 259.65 36.5 5.8 2 1.41 0.23 267.20 32.2 5.2 3 1.58 0.25 259.46 38.1 6.1 4 1.53 0.25 260.79 34.6 5.6 5 1.72 0.28 266.40 29.7 4.9 6 1.49 0.25 265.91 37.7 6.2 7 1.55 0.26 263.66 39.6 6.6 8 1.67 0.28 263.26 41.3 6.9 9 1.60 0.27 258.57 32.7 5.5 10 1.19 0.20 262.95 46.1 7.8 11 1.32 0.22 259.42 39.9 6.8 12 1.01 0.17 256.40 45.1 7.7 A-20 TAKU PROFILE 4 (C-10) JULY 25 TO AUGUST 5 MOVEMENT ABLATION FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 0.14 0.01 100.45 63.2 5.8 2 0.15 0.01 160.66 48.5 4.4 3 0.34 0.03 139.46 56.8 5.2 4 0.30 0.03 148.63 56.2 5.1 5 0.72 0.07 148.31 60.2 5.5 6 1.25 0.11 146.69 55.2 5.0 7 2.62 0.24 144.38 57.0 5.2 8 2.46 0.22 147.31 64.2 5.9 9 4.58 0.42 122.76 54.6 5.0 10 4.03 0.37 145.90 56.7 5.2 11 6.42 0.59 151.03 62.3 5.7 12 5.44 0.50 146.83 62.5 5.7 13 6.13 0.56 146.34 72.8 6.7 14 6.11 0.56 144.68 70.1 6.4 15 6.42 0.59 144.47 79.8 7.3 16 6.50 0.59 143.32 14.6? 1.3? 17 6.54 0.60 143.03 85.7 7.8 18 6.61 0.60 140.74 80.9 7.4 19 6.60 0.60 141.89 92.9 8.5 20 6.51 0.59 141.72 91.0 8.3 21 6.33 0.58 141.40 88.2 8.1 22 6.29 0.57 140.32 81.0 7.4 23 6.10 0.56 139.70 88.2 8.1 24 5.56 0.51 139.99 70.1 6.4 25 4.67 0.43 139.35 78.2 7.2 26 4.08 0.37 139.29 76.7 7.0 27 2.38 0.22 132.95 74.6 6.8 28 1.66 0.15 134.47 68.7 6.3 29 0.58 0.05 117.60 56.6 5.2 30 0.45 0.04 117.85 66.3 6.0 31 0.24 0.02 54.07 72.3 6.6 ? One or both height readings during GPS measurement incorrect. Ablation data not reliable. A-21 TAKU PROFILE 5 (SOUTHWEST BRANCH) JULY 27 TO AUGUST 4 MOVEMENT FLAG TOTAL (M) DAILY (M) 1 0.08 0.01 2 0.24 0.03 3 0.48 4 0.61 5 ABLATION BEARING (GONS) TOTAL (CM) DAILY (CM) 77.53 52.9 6.7 68.72 40.8 5.2 0.06 54.11 39.5 5.0 0.08 41.55 43.5 5.5 0.74 0.09 40.28 39.5 5.0 6 0.72 0.09 42.50 37.3 4.7 7 0.67 0.09 35.94 37.3 4.7 8 0.65 0.08 32.45 46.5 5.9 9 0.63 0.08 33.34 37.9 4.8 10 0.65 0.08 37.90 43.1 5.5 11 0.49 0.06 34.09 43.1 5.5 12 0.32 0.04 35.08 47.5 6.0 TAKU PROFILE 6 (NORTHWEST BRANCH) JULY 26 TO AUGUST 6 MOVEMENT ABLATION FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 1.08 0.10 120.52 304.7? 28.5? 2 - - - - - 3 2.56 0.24 120.52 113.0 10.5 4 2.74 0.25 123.75 116.2 10.7 5 2.00 0.18 127.29 301.8? 27.8? 6 3.29 0.30 123.56 119.1 10.9 7 3.28 0.30 125.96 113.0 10.3 8 3.56 0.32 126.90 118.2 10.8 9 3.36 0.30 127.61 98.0 8.9 10 3.06 0.28 128.28 111.4 10.1 11 2.40 0.22 132.18 107.9 9.7 12 1.63 0.15 132.72 109.0 9.8 13 1.01 0.09 132.29 107.0 9.6 14 0.48 0.04 135.96 107.1 9.6 15 0.24 0.02 159.95 113.3 10.1 16 0.17 0.01 101.89 100.0 8.9 ? One or both height readings during GPS measurement incorrect. Ablation data not reliable. A-22 TAKU PROFILE 7 (C-9) AUGUST 13 TO AUGUST 16 MOVEMENT ABLATION* FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 0.050 0.017 340.9665 14* 4.7* 2 0.128 0.043 257.0445 19* 6.3* 3 0.496 0.165 246.3660 17* 5.7* 4 0.978 0.326 234.1807 33* 11.0* 5 0.690 0.230 242.8112 13* 4.3* 6 1.008 0.336 233.7545 11* 3.7* 7 0.954 0.318 232.8014 13* 4.3* 8 0.944 0.315 228.6116 28* 9.3* 9 0.449 0.150 235.8618 13* 4.3* 10 (0.927) (0.309) (226.1368) (-5)* (-1.7)* 11 (0.273) (0.091) (226.3883) (3)* (1)* 12 (0.336) (0.112) (225.2788) (19)* (6.3)* * Flag heights were determined by trigonometric height determination. Ablation figures are rough approximates and are not as accurate as ablation determined via GPS methods. ( ) Estimated. Flag was beyond EDM range. TAKU PROFILE 7A (LOWER MATTHES) JULY 26 TO AUGUST 6 MOVEMENT ABLATION FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 0.06 0.01 109.20 73.9 6.8 2 0.47 0.04 251.91 88.6 8.1 3 1.71 0.16 244.02 95.7 8.7 4 2.98 0.27 247.22 95.5 8.7 5 3.77 0.34 247.68 100.5 9.2 6 3.97 0.36 249.18 109.3 10.0 7 4.49 0.41 246.42 111.6 10.2 8 4.72 0.43 247.71 121.0 11.0 9 4.75 0.43 249.77 129.5 11.8 10 4.68 0.43 248.08 128.3 11.7 11 4.45 0.41 247.49 123.3 11.2 12 4.13 0.38 250.39 124.2 11.3 13 3.58 0.33 247.43 120.8 11.0 14 3.05 0.28 247.31 112.7 10.3 A-23 TAKU PROFILE 8 (C-8) AUGUST 11 TO AUGUST 14 MOVEMENT ABLATION* FLAG TOTAL (M) DAILY (M) BEARING (GONS) TOTAL (CM) DAILY (CM) 1 0.098 0.033 73.3749 0.35 0.12 2 0.120 0.040 105.2929 0.35 0.12 3 0.146 0.049 117.7171 0.32 0.11 4 0.338 0.113 178.9216 0.27 0.09 5 0.340 0.113 172.9948 0.10 0.03 6 0.681 0.227 197.1930 0.28 0.09 7 0.650 0.217 200.0002 0.38 0.13 8 0.940 0.313 198.6455 0.37 0.12 9 0.632 0.211 194.9578 0.24 0.08 10 0.702 0.234 195.4602 0.23 0.08 11 0.650 0.217 198.0416 0.60 0.20 12 0.531 0.177 196.4001 0.28 0.09 13 0.393 0.131 191.8823 0.14 0.05 14 0.057 0.019 249.9999 0.49 0.16 * Flag heights were determined by trigonometric height determination. Ablation figures are rough approximates and are not as accurate as ablation determined via GPS methods. UPPER VAUGHAN LEWIS AUGUST 10 TO AUGUST 12 MOVEMENT ABLATION* FLAG TOTAL (M) DAILY (M) 1 0.400 0.200 BEARING (GONS) 196.8194 TOTAL (CM) 0.04 DAILY (CM) 0.02 2 0.347 0.174 163.0757 0.09 0.05 3 0.617 0.309 229.9780 0.17 0.09 4 0.681 0.341 244.7070 0.01 0.00 5 0.700 0.350 259.0333 0.17 0.09 6 0.595 0.298 267.6131 0.10 0.05 7 0.403 0.202 284.0205 0.05 0.03 8 0.265 0.133 287.9048 0.27 0.14 9 0.435 0.218 325.5838 0.28 0.14 10 0.573 0.287 18.0224 0.05 0.03 * Flag heights were determined by trigonometric height determination. Ablation figures are rough approximates and are not as accurate as ablation determined via GPS methods. A-24 A-25 A-26 A-27 A-28 Appendix 8 Comparison of Movement Profile Surface Elevations 1500 Profile 7 1400 Profile 7a Elevation (meters above geoid) 1300 Profile 6 1200 1100 Profile 5 1000 Profile 4 Profile 3 900 800 Profile 2 700 600 500 400 300 Profile 1 200 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 Flag Number The surface elevations of the various Taku Glacier movement profiles are shown above. This cross-sectional view graphically illustrates the variation in elevation of the profiles. All profiles, with the exception of Profile 7, were surveyed using GPS methods. This makes elevation comparisons of the profiles consistent with each other. Elevations reported are relative to the geoid, rather than absolute elevations above mean sea level. Profile 7 was surveyed via theodolite/EDM methods, thus the elevations reported for this profile were not measured with respect to the same vertical datum as were the elevations for the GPS surveyed profiles. Profile 7 is presented here only as a rough estimation of its elevation in relation to the other profiles. A-29 Appendix 9 Surface elevation of movement profiles versus daily ablation 1400 14 1260.64 1275.63 11.9 1200 12 1109.85 1053.30 1016.39 1000 10.0 9.7 10.0 10 804.97 800 8 6.3 600 400 6.2 6 5.4 Surface elevation Daily ablation Standard deviation 4.0 330.26 4 2.2 200 1.5 1.4 0.9 2 0.7 0.6 0 0 I II III V IV VI VIIa Movement Profile (GPS surveyed profiles only) This chart shows the relationship between the mean surface elevation and the mean daily ablation of all GPS surveyed movement profiles. Elevations are in meters above the geoid as shown on the left Y-axis. Ablation is given in centimeters on the right Y-axis. The standard deviation of the daily ablation for all flags in each Profile 1ndicates the relative accuracy of field measurements of the GPS receiver above the snow surface, and is also given in centimeters on the right Y-axis. As the standard deviation decreases, the accuracy of the daily ablation data increases. Theoretically it can be assumed that as the surface elevation increases the daily ablation will decrease. Results of GPS surveys for these seven profiles demonstrate that this is not always the case. The mean elevation of Profiles III, IV, and V is 1,059.8 meters and the mean daily ablation is 6 cm. The mean elevation of Profiles VI and VIIa is 1,268.1 meters and the mean daily ablation is 10 cm. Thus, the ablation at an elevation of 1,268 meters is 4 cm/day greater than the ablation at an elevation 208 meters lower. Some of this apparent anomaly may be explained by the fact that the five profiles involved did not have the same time period between the first survey and the resurvey. While the majority of the epochs did overlap each other, some profiles were surveyed either before A-30 or after others, or both (see following chart). Daily temperature and cloud cover variations therefore most likely contributed to some of the anomaly. However, the extent of the influence is not quantifiably known. Given the amount of overlap between the initial survey and the resurvey of the five profiles (6 of 12 days), it seems likely that some other factor has contributed to greater ablation at the higher elevation of Profiles VI and VIIa. III IV V VI VIIa 7-25 7-26 7-27 7-28 7-29 7-30 7-31 8-1 8-2 8-3 8-4 8-5 8-6 Timeline of GPS surveys (July 25 to August 6, 1994) A-31 Appendix 10 Taku Profile 4 Grid Generation Parameters Files... Data file used: d:\data\jirp\jirp-94\1993mass.bal\t4-72593.dat d:\data\jirp\jirp-94\1994mass.bal\t4-72594.dat Blanking file used: d:\data\jirp\jirp-94\1993mass.bal\t4-72593.bln d:\data\jirp\jirp-94\1994mass.bal\t4-72594.bln Grid file: d:\data\jirp\jirp-94\1993mass.bal\t4-72593.grd d:\data\jirp\jirp-94\1994mass.bal\t4-72594.grd Blanked grid file: d:\data\jirp\jirp-94\1993mass.bal\t472093b.grd d:\data\jirp\jirp-94\1994mass.bal\t472594b.grd Smoothed grid file: d:\data\jirp\jirp-94\1993mass.bal\t472093s.grd d:\data\jirp\jirp-94\1994mass.bal\t472494s.grd d:\data\jirp\jirp-94\1994mass.bal\t472594s.grd Parameters used to create the grid files... Scattered Data Interpolation settings: X minimum = 484,800 Y minimum = 487,800 X maximum = 6,500,400 Y maximum = 6,503,400 X spacing = 2 Y spacing = 2 X number of lines = 1,501 Y number of lines = 1,501 Gridding method = krigging Gridding Options settings: Type = linear Scale = 36 No drift = checked Linear drift = n.a. Quadratic drift = n.a. Error variance = 0 A-32 Micro variance Radius 1 Radius 2 Angle Duplicates Ignore date outside grid = 0 = 1,000 = 1,000 = 0 = delete = not checked Search Options settings: All data = checked Simple = n.a. Quadrant = n.a. Octant = n.a. Data per sector = n.a. Minimum total data = n.a. Max. empty sectors = n.a. Radius 1 = n.a. Radius 2 = n.a. Angle = n.a. Parameters used to create the smoothed file... Spline Smooth settings: Insert nodes = n.a. Recalc grids = checked Between rows = n.a. Between cols = n.a. # rows = 2,000 # cols = 2,000 A-33 A-34 A-35 Contour map showing the spatial distribution of accumulation for Taku Profile 4 from July 25, 1993 to July 24, 1994. Elapsed time between GPS surveys was 365 days. Blue shading represents positive balance, while red shaded areas show negative balance. Flags 1, 16, and 23 experienced a lowering of the surface elevation; the surface elevation at all other flags increased during the survey period. Easting and northing coordinates are given in meters and accumulation is given in centimeters. Flag numbers and contour values are noted on the map. A-36 0.9 0.8 0.716 0.667 0.7 0.6 Accumulation 0.498 0.461 0.422 0.391 0.5 0.4 0.326 0.288 0.3 0.199 0.151 0.2 0.398 0.288 0.192 0.178 0.352 0.327 0.25 0.161 0.157 0.1 0.057 0.25 0.151 0.121 0.066 0 -0.1 -0.078 -0.2 -0.191 -0.245 -0.3 -0.4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Flag Number This chart shows the rise in surface elevation of the Taku Glacier at each of the 27 flags in Profile 4 from July 25, 1993 to July 24, 1994. The surface at each flag, with the exception of flags 1, 16, and 23, was higher in 1994 than in 1993. The average increase in surface elevation was 23.6 cm. A-37 Surface Area and Volume Computations for Taku Profile 4 (Surveyed July 25, 1993) FILES Data file: Blanking file: Grid file: Blanked grid file: Smoothed grid file: d:\data\jirp\jirp-94\1993mass.bal\t4-72593.dat d:\data\jirp\jirp-94\1993mass.bal\t4-72593.bln d:\data\jirp\jirp-94\1993mass.bal\t4-72593.grd d:\data\jirp\jirp-94\1993mass.bal\t472593b.grd d:\data\jirp\jirp-94\1993mass.bal\t472593s.grd RESIDUALS OF THE BLANKED AND SMOOTHED GRID Standard deviation = 0.0285672003 Sum = -0.01624 Average = -0.00060 Minimum = -0.07117 Maximum = 0.05505 VOLUME COMPUTATIONS UPPER SURFACE Grid File: d:/data/jirp/jirp-94/1993mass.bal/t472593s.grd Rows: 0 to 32,766 Cols: 0 to 32,766 Grid size as read: 2,000 cols by 2,000 rows Delta X: 1.50075 Delta Y: 1.50075 X-Range: 484,800 to 487,800 Y-Range: 6,500,400 to 6,503,400 Z-Range: 1,098.23 to 1,121.1 LOWER SURFACE Level Surface defined by Z = 1,095 VOLUMES Volume Approximated by: Trapezoidal Rule: 13,620,400 ───┐ Simpson's Rule: 13,618,700 ├─── 13,619,833 ± 981 Simpson's 3/8 Rule: 13,620,400 ───┘ CUT & FILL VOLUMES A-38 Positive Volume [Cuts]: 13,620,400 Negative Volume [Fills]: 0 Cuts minus Fills: 13,620,400 AREAS Positive Planar Area (Upper above Lower): 1,014,320 Negative Planar Area (Lower above Upper): 0 Blanked Planar Area: 7,985,680 Total Planar Area: 9,000,000 Positive Surface Area (Upper above Lower): 1,014,410 Negative Surface Area (Lower above Upper): 0 A-39 Surface Area and Volume Computations for Taku Profile 4 (Adjusted survey - July 24, 1994) FILES Data file: Blanking file: Grid file: Blanked grid file: Smoothed grid file: d:\data\jirp\jirp-94\1994mass.bal\t4-72494.dat d:\data\jirp\jirp-94\1994mass.bal\t4-72494.bln d:\data\jirp\jirp-94\1994mass.bal\t4-72494.grd d:\data\jirp\jirp-94\1994mass.bal\t472494b.grd d:\data\jirp\jirp-94\1994mass.bal\t472494s.grd RESIDUALS OF THE BLANKED AND SMOOTHED GRID Standard deviation = 0.0323359095 Sum = -0.00165 Average = -0.00061 Minimum = -0.08765 Maximum = 0.06250 VOLUME COMPUTATIONS UPPER SURFACE Grid File: d:/data/jirp/jirp-94/1994mass.bal/t472494s.grd Rows: 0 to 32,766 Cols: 0 to 32,766 Grid size as read: 2,000 cols by 2,000 rows Delta X: 1.50075 Delta Y: 1.50075 X-Range: 484,800 to 487,800 Y-Range: 6,500,400 to 6,503,400 Z-Range: 1,098.29 to 1,121.8 LOWER SURFACE Level Surface defined by Z = 1,095 VOLUMES Volume Approximated by: Trapezoidal Rule: 13,859,600 ───┐ Simpson's Rule: 13,858,000 ├─── 13,859,100 ± 953 Simpson's 3/8 Rule: 13,859,700 ───┘ CUT & FILL VOLUMES A-40 Positive Volume [Cuts]: Negative Volume [Fills]: Cuts minus Fills: 13,859,600 0 13,859,600 AREAS Positive Planar Area (Upper above Lower): 1,014,320 Negative Planar Area (Lower above Upper): 0 Blanked Planar Area: 7,985,680 Total Planar Area: 9,000,000 Positive Surface Area (Upper above Lower): 1,014,420 Negative Surface Area (Lower above Upper): 0 A-41 Mass Balance of Taku Profile 4 (July 25, 1993 to July 24, 1994) VOLUME COMPUTATIONS UPPER SURFACE Grid File: d:/data/jirp/jirp-94/1994mass.bal/t472494s.grd Rows: 0 to 32,766 Cols: 0 to 32,766 Grid size as read: 2,000 cols by 2,000 rows Delta X: 1.50075 Delta Y: 1.50075 X-Range: 484,800 to 487,800 Y-Range: 6,500,400 to 6,503,400 Z-Range: 1,098.29 to 1,121.8 LOWER SURFACE Grid File: d:/data/jirp/jirp-94/1993mass.bal/t472593s.grd Rows: 0 to 32,766 Cols: 0 to 32,766 Grid size as read: 2,000 cols by 2,000 rows Delta X: 1.50075 Delta Y: 1.50075 X-Range: 484,800 to 487,800 Y-Range: 6,500,400 to 6,503,400 Z-Range: 1,098.23 to 1,121.1 VOLUMES Volume Approximated by Trapezoidal Rule: 239,269 ───┐ Simpson's Rule: 239,253 ├─── 239,265 ± 11 Simpson's 3/8 Rule: 239,273 ───┘ CUT & FILL VOLUMES Positive Volume [Cuts]: 245,023 Negative Volume [Fills]: 5,754 Cuts minus Fills: 239,269 AREAS A-42 Positive Planar Area (Upper above Lower): Negative Planar Area (Lower above Upper): Blanked Planar Area: Total Planar Area: 936,769 77,547 7,985,680 8,999,996 Positive Surface Area (Upper above Lower): 936,770 Negative Surface Area (Lower above Upper): 77,547 Total Surface Area: 1,014,317 NET ACCUMULATION Accumulation = Volume / Surface Area: (92.4%) (7.6%) 23.6 cm A-43 Appendix 12 Taku Profile 4 Strain Rate Analysis Profile 4 Strain (July 25, 1994 to August 5, 1994) Triangle Flags 1 123 2 E1 E2 E3 Theta 46.43 -24.34 -22.08 205.82 234 39.75 -21.94 -17.81 174.40 3 345 124.70 -46.98 -77.72 191.53 4 456 157.28 -230.42 73.14 202.17 5 567 342.23 -344.31 2.07 192.91 6 678 338.83 -188.66 -150.17 188.64 7 789 230.28* -698.72* 468.45* 165.20* 8 8 9 10 94.32* -62.63* -31.69* 144.05* 9 9 10 11 1044.33* 53.23* -1097.57* 234.53* 10 10 11 12 811.39 -139.75 -671.64 174.43 11 11 12 13 434.52 -125.45 -309.07 153.18 12 12 13 14 162.94 -113.85 -49.09 179.29 13 13 14 15 82.39 -83.98 1.59 175.85 14 14 15 16 71.76 -76.99 5.23 181.41 15 15 16 17 3.36 -51.75 48.39 186.72 16 16 17 18 12.87 -69.06 56.19 178.40 17 17 18 19 29.46 -60.11 30.65 191.66 18 18 19 20 32.24 23.88 -56.12 235.31 19 19 20 21 27.88 -40.68 12.80 97.11 20 20 21 22 0.98 -41.88 40.90 112.67 21 21 22 23 4.64 -92.54 87.90 105.80 22 22 23 24 117.06 -94.10 -22.97 97.56 23 23 24 25 127.89 -167.13 39.24 87.17 24 24 25 26 255.41 -150.82 -104.59 100.47 25 25 26 27 304.09 -279.01 -25.08 97.55 26 26 27 28 266.92 -291.54 24.62 92.45 27 27 28 29 272.89 -243.14 -29.74 90.56 28 28 29 30 148.65 -242.97 94.32 83.41 29 29 30 31 65.49 -91.69 26.20 90.53 Values of the strains E1, E2, and E3 are in µstrain-d. The angle theta is in gons clockwise from grid north. * Results are unreliable. Flag 9 fell over and was incorrectly repositioned for the August 5 survey. A-44 Solution of Taku Profile 4 Triangles (July 25, 1994 survey) Length of Sides (m) Interior angles (gons) Triangle Date a b c Alpha Beta Gamma 1 07-25-94 287.631 195.996 263.667 84.3180 45.9604 69.7217 2 07-25-94 255.037 210.947 287.631 65.7471 50.2846 83.9683 3 07-25-94 272.634 198.294 255.037 80.8061 48.8765 70.3174 4 07-25-94 255.161 229.998 272.634 67.0083 57.2654 75.7263 5 07-25-94 273.744 253.725 255.161 72.3166 63.5602 64.1232 6 07-25-94 226.150 200.073 273.744 60.4039 51.0811 88.5150 7 07-25-94 287.325 239.972 226.150 84.4949 60.1655 55.3395 8 07-25-94 207.799 204.226 287.325 51.4424 50.3076 98.2500 9 07-25-94 263.500 180.453 207.799 94.6362 47.8127 57.5511 10 07-25-94 214.717 259.701 263.500 53.8356 72.0548 74.1096 11 07-25-94 296.199 322.581 214.717 70.2381 84.9563 44.8056 12 07-25-94 243.988 348.845 296.199 48.3359 88.6775 62.9866 13 07-25-94 283.661 312.694 243.988 66.4010 80.2697 53.3293 14 07-25-94 267.608 346.356 283.661 54.4878 86.4307 59.0816 15 07-25-94 321.245 393.113 267.608 60.2676 92.4754 47.2569 16 07-25-94 302.216 448.024 321.245 47.1032 102.0307 50.8662 17 07-25-94 271.772 374.831 302.216 50.8799 90.3924 58.7277 18 07-25-94 279.992 340.357 271.772 58.9007 84.6191 56.4802 19 07-25-94 296.321 377.464 279.992 56.6486 90.8675 52.4840 20 07-25-94 256.247 331.945 296.321 53.0293 81.6011 65.3695 21 07-25-94 238.181 222.352 256.247 65.7627 59.2207 75.0166 22 07-25-94 350.892 354.123 238.181 77.2498 78.8756 43.8746 23 07-25-94 324.679 488.748 350.892 46.1965 102.8881 50.9154 24 07-25-94 274.585 338.606 324.679 54.2825 75.7996 69.9179 25 07-25-94 365.176 378.299 274.585 73.1139 78.7714 48.1147 26 07-25-94 330.049 449.673 365.176 51.5175 89.3653 59.1172 27 07-25-94 320.660 349.174 330.049 62.5069 72.0965 65.3966 28 07-25-94 337.426 335.792 320.660 68.6803 68.1100 63.2097 29 07-25-94 336.725 336.219 337.426 66.6451 66.4798 66.8751 A-45 Solution of Taku Profile 4 Triangles (August 5, 1994 Survey) Length of Sides (m) Interior Angles (gons) Triangle Date a b c Alpha Beta Gamma 1 08-05-94 287.753 196.025 263.645 84.3636 45.9552 69.6813 2 08-05-94 255.086 210.917 287.753 65.7382 50.2577 84.0041 3 08-05-94 272.997 198.314 255.086 80.9205 48.8352 70.2443 4 08-05-94 254.652 229.949 272.997 66.7948 57.2544 75.9507 5 08-05-94 274.762 253.434 254.652 72.7476 63.3889 63.8634 6 08-05-94 226.317 200.053 274.762 60.2298 50.8972 88.8730 7 08-05-94 287.357 238.229 226.317 84.8627 59.6433 55.4941 8 08-05-94 208.019 204.094 287.357 51.5054 50.2588 98.2358 9 08-05-94 265.559 182.368 208.019 94.9533 48.0024 57.0443 10 08-05-94 215.468 259.710 265.559 53.7997 71.5238 74.6765 11 08-05-94 296.556 322.140 215.468 70.3949 84.6081 44.9970 12 08-05-94 243.943 348.539 296.556 48.3488 88.5091 63.1421 13 08-05-94 283.846 312.476 243.943 66.4957 80.1733 53.3311 14 08-05-94 267.484 346.159 283.846 54.4771 86.3584 59.1645 15 08-05-94 321.240 392.951 267.484 60.2986 92.4503 47.2512 16 08-05-94 302.028 447.745 321.240 47.1044 101.9884 50.9072 17 08-05-94 271.859 374.704 302.028 50.9208 90.3782 58.7010 18 08-05-94 280.069 340.475 271.859 58.8964 84.6240 56.4796 19 08-05-94 296.190 377.464 280.069 56.6160 90.8792 52.5048 20 08-05-94 256.249 331.848 296.190 53.0493 81.5985 65.3522 21 08-05-94 237.986 222.236 256.249 65.7155 59.2085 75.0761 22 08-05-94 351.342 354.268 237.986 77.3633 78.8374 43.7993 23 08-05-94 324.145 489.022 351.342 46.0686 102.9728 50.9586 24 08-05-94 275.162 338.943 324.145 54.4138 75.9102 69.6761 25 08-05-94 364.099 378.571 275.162 72.7556 78.9791 48.2653 26 08-05-94 330.756 450.211 364.099 51.6166 89.5718 58.8116 27 08-05-94 319.814 349.616 330.756 62.2147 72.2091 65.5762 28 08-05-94 337.553 336.099 319.814 68.7629 68.2536 62.9835 29 08-05-94 336.392 336.282 337.553 66.5517 66.5158 66.9326 A-46 Taku Profile 4 Magnitude and Orientation of Strain Ellipses This diagram shows the magnitude and orientation of the strain ellipses for each triangle of Profile 4. The magnitude of extensional and compressional strain is reported as microstrain per day. The direction of the maximum extensional strain is in gons from grid north. Flag number 9 ablated out and fell over between survey epochs, and was reset in the wrong position for the resurvey. For this reason, the strain ellipses shown for the three triangles (7, 8, and 9) affected by flag 9 are not reliable. Additionally, a data collection errors at triangle 9 give inconsistent and unreliable results for this triangle. A-47 Appendix 13 Taku Glacier Terminus Survey July 30, 1994 Survey Point: Taku Point (See map for location) Reference Point: Taku “B” (See map for location) POINT Taku “B” 1 2 3 4 5 6 7 8 9 10 11 HORIZONTAL ANGLE (gons) 0 124.8 121.2 117.4 108.2 90.8 73.9 52.8 41.2 30.8 24.8 22.2 VERTICAL ANGLE (gons) --99.987 99.774 100.033 99.991 99.306 99.962 99.791 99.040 99.993 99.986 99.910 SLOPE DISTANCE (m) HORIZONTAL DISTANCE (m) --2,989.50 2,480.36 2,203.70 1,931.03 1,699.88 1,662.22 1,987.29 2,215.72 2,651.06 3,071.84 3,468.06 --2,989.50 2,480.34 2,203.70 1,931.03 1,699.78 1,662.22 1,987.28 2,215.62 2,651.06 3,071.84 3,468.06 Notes: The line from Taku Point to Taku “B” is the reference line from which the horizontal angles are measured. Horizontal angles reflect one set face left readings only. Face right readings were not taken, thus introducing an unknown instrumental error into the survey data. A-48 A-49