Mesoscale subduction at the Almeria-Oran front. Part 1: ageostrophic flow
J. T. Allen1, D. A. Smeed1, J. Tintoré3 and S. Ruiz2
1
Southampton Oceanography Centre, Southampton, England SO14 3ZH
2
Institut de Ciències del Mar, Barcelona, Spain
3
UIB, Palma de Mallorca, Spain
Abstract
This paper presents a detailed diagnostic analysis of hydrographic and current meter
data from three, rapidly repeated, fine-scale surveys of the Almeria-Oran front.
Instability of the frontal boundary, between surface waters of Atlantic and
Mediterranean origin, is shown to provide a mechanism for significant heat transfer
from the surface layers to the deep ocean in winter. The data were collected during
the second observational phase of the EU funded OMEGA project on RRS Discovery
cruise 224 during December 1996. High resolution hydrographic measurements using
the towed undulating CTD vehicle, SeaSoar,. traced the subduction of Mediterranean
Surface Water across the Almeria-Oran front. This subduction is shown to result
from a significant baroclinic component to the instability of the frontal jet. The Qvector formulation of the omega equation is combined with a scale analysis to
quantitatively diagnose vertical transport resulting from mesoscale ageostrophic
circulation. The analyses are presented and discussed in the presence of satellite and
airborne remotely sensed data; which provide the basis for a thorough and novel
approach to the determination of observational error.
Keywords:
OCEANIC FRONTS, MESOSCALE FEATURES, BAROCLINIC
INSTABILITY, VERTICAL MOTION, DOWNWELLING, MEDITERRANEAN
SEA, WESTERN MEDITERRANEAN, ALBORAN SEA, ALMERIA-ORAN
FRONT, 2.5° W - 0.5° E, 35.0° N - 37.5° N.
1)
Introduction
1
During the observational phase of OMEGA1 a field experiment was carried out at the
eastern end of the Alboran Sea to examine the impact of mesoscale motion on
biological distributions. A total of 7 surveys were made of the Almeria-Oran front
region on RRS Discovery cruise 224 (Allen et al., 1997a; Pugh et al.,1997) in
December 1996 and January 1997 using the towed undulating CTD instrument,
SeaSoar (Pollard et al., 1986; Allen et al., 1997b). Here we define the dimensions of
oceanic mesoscale flow as, O(10-100 km) spatially, O(10 days) temporal period and
Rossby number ε < 1.
The Alboran Sea fills a small and topographically complex region at the western end
of the Mediterranean. Atlantic water flows into the Alboran Sea at the surface
through the Strait of Gibraltar and generally forces two anticyclonic gyres, the Eastern
and Western Alboran Gyres (Figure 1) (Arnone et al., 1990; Folkard et al., 1994;
Tintoré et al., 1988). At the eastern side of the Eastern Alboran Gyre, an intensified
front is formed between surface waters of recent Atlantic origin and those of the
western Mediterranean Sea (Tintoré et al., 1988). Water leaving the Almeria-Oran
frontal jet is either re-entrained into the Alboran Sea gyres or feeds the Algerian
current, hugging the steep topography of the coast of Algeria (Arnone et al., 1990).
Both Alboran Sea gyres exhibit large variations in surface structure and may collapse
entirely for periods of weeks to months (Heburn and LaViolette, 1990; Viudez et al.,
1998). The sharp density gradient at the periphery of the gyres forms a front that is
susceptible to instability at the mesoscale (Tintoré et al., 1991; Arnone et al., 1990).
Atlantic waters eventually spread eastwards to the Eastern Mediterranean (Brankart
and Brasseur, 1998; Font et al., 1998) and northwards into the central Western
Mediterranean (Taupier-Letage and Millot, 1988; Millot et al., 1990). As they do so,
they are modified by entrainment and mixing; in this paper we present an analysis of
observations that illuminates the key dynamical processes at least in the region of the
Almeria-Oran front. The repeated surveys presented here enable us to understand the
evolution of the front and its relation to subduction. In the next section we describe
the physical observations and compare water mass characteristics with previous
studies. In sections 3 and 4 we present a dynamical interpretation of the data sets and
1
Partly funded by the European Commission under MAST contract No. MAS3-CT95-00001
2
an omega equation (Hoskins et al. 1978) diagnostic analysis of mesoscale vertical
flow and cross front transport. In section 5 we present a discussion of our findings.
In an accompanying paper (Fielding et al., 2001 – this edition) biological data are
presented and effect of physical motion on the upper ocean ecology of the AlmeriaOran front region is discussed.
2)
Water mass characteristics and general description of the hydrography
during RRS Discovery cr. 224 (OMEGA).
RRS Discovery arrived in the Alboran Sea on the 2nd of December 1996. Prior to the
cruise, Satellite IR images had been provided and processed by the Southampton
Oceanography Centre (SOC) and the University of Pisa (UP) since the 1st October
that year.
The two Alboran Gyres had been clearly visible throughout October
(Baldacci et al. 1998 and http//radar.iet.unipi.it/OMEGA/ATLAS/atlas.html).
During November, the Western Alboran Gyre appeared to move eastwards to be
replaced by a new Western Alboran Gyre and resulting in a period from the 19th
November to the 24th of November during which three gyres appeared to exist
(Viúdez et al., 1998). By the 28th November the ‘central’ and Eastern Alboran gyres
had coalesced and the in-situ observations described here occurred during the
existance of a more ‘traditional’ two Alboran gyre flow regime (Figure 2).
A
detailed discussion of the apparent three gyre flow is beyond the scope of this paper,
however we mention it here to solicit further communication with fellow researchers
who may have observed similar events during other periods of observation
RRS Discovery cr. 224 made two large scale surveys and three repeat fine scale
surveys of the Almeria-Oran front during December 1996 (Allen et al. 1997a). .In
addition a brief survey was also made of the head of the Algerian Current. Two
further fine scale surveys of the Almeria-Oran front were made during January 1997
(Pugh et al. 1997) (Figure 3). The timetable and duration of these surveys was as
follows:
16:15 GMT 2/12/96 – 17:15 GMT 5/12/96 Large Scale Survey 1 (LSS1)
17:40 GMT 6/12/96 – 04:30 GMT 10/12/96 Large Scale Survey 2 (LSS2)
18:30 GMT 11/12/96 – 10:00 GMT 15/12/96 Fine Scale Survey 1 (FSS1)
3
21:10 GMT 16/12/96 – 17:30 GMT 20/12/96 Fine Scale Survey 2 (FSS2)
19:50 GMT 21/12/96 – 22:15 GMT 24/12/96 Fine Scale Survey 3 (FSS3)
18:10 GMT 26/12/96 – 21:30 GMT 28/12/96 Algerian Current Survey (ACS)
Port call, Cartagena, Spain
18:00 GMT 30/12/96 – 14:00 GMT 2/1/97 Fine Scale Survey 4 (FSS4)
08:00 GMT 14/1/97 – 20:00 GMT 16/1/97 Fine Scale Survey 5 (FSS5).
Routine calibration and processing of SeaSoar CTD hydrographic data and RDI 150
kHz VM-ADCP current data are described in the relevant data reports, Allen et al.
1997b and 1997c, and at http://www.soc.soton.ac.uk/GDD/omega/Disco/index.
html. It is worth noting here, however, that for the duration of the cruise an Ashtech
3D-GPS system was used to correct the ship’s gyro heading errors and RACAL
SkyFix differential GPS navigation had been purchased for the first leg of the cruise,
i.e. until 29/12/96.
The calibration and processing techniques are considered
sufficient for accuracy in salinity to 0.01 and in absolute current velocity to order 1
cms-1.
In Figure 4, we present a potential temperature versus salinity (θ S) diagram for the
SeaSoar CTD data collected during the second large scale survey. The lowest salinity
waters, ~36.63, are surface waters of recent Atlantic origin and are referred to as
Modified Atlantic Water (MAW) (Arnone et al., 1990; Sparnocchia et al., 1994).
MAW, flowing as a strong jet along the Almeria-Oran front, splits to re-circulate into
the Eastern Alboran Gyre and form the head of the Algerian Current (Figure 5).
Mediterranean Surface Waters (MSW) (Arnone et al. 1990), salinity >37.5
temperature >15.5 °C, were found in the N. E. corner of the LSS2 area. This water
appeared to be flowing slowly south westward along the Spanish coast but had not
reached the area that was to be covered by the later fine scale surveys.
The
characteristic θ S of MSW seems less well defined (Figure 4) than that of the MAW
perhaps as a result of the the wide area and variability of its formation; predominantly
old MAW that has remained at the surface in the Western Mediterranean (Benzohra
and Millot, 1995; Gascard, 1978). Between these two surface water masses, a large
area of lower temperature intermediate salinity water (< 15.5 °C and 36.7-37.5 psu)
was observed at the surface north of the Almeria-Oran front (Figures 5 and 6).
4
Following Gascard and Richez (1985), we will refer to this as Atlantic-Mediterranean
Interface Water (A-MIW). A-MIW is formed through mixing between MAW and
intermediate Mediterranean waters either vertically or horizontally following the
upwelling of the latter along the north coast of the Alboran Sea.
Below the surface waters, a temperature minimum layer (TML) exists to a depth of
generally 250-300 m. This layer has a salinity around 38.2 and temperature below
13.5 °C, and is believed to be formed by winter cooling of MSW along the French
coast (Gascard and Richez, 1985, Pinot and Ganachaud, 1999). A particular form of
TML water was observed in an anticyclonic eddy at around 36.6° N, 0.9° W and will
be the subject of a future study (J. T . Allen and D. A. smeed, SOC, personal comm.).
This has the characteristics of Winter Intermediate Water (WIW) as described by
Pinot and Ganachaud (1999), temperature < 13 °C and salinity 38.2. Below the TML
there is a tight θ S signature of Levantine Intermediate Water (LIW) that forms a
distinct salinity maximum (Figure 4) (Sparnocchia et al., 1994; Gascard, 1978).
SeaSoar data were only available to a depth of ~370 m and therefore it only just
resolves the core of the LIW, ~38.5 psu (Gascard and Richez, 1985).
To the south and west of the Almeria-Oran front, the A-MIW descends steeply below
the deep surface mixed layer of MAW in the Eastern Alboran Gyre (Figure 6). This
results in a large horizontal density gradient across the Almeria-Oran front and a
current speed around 1 ms-1 in the frontal jet (Figure 5). In contrast, A-MIW and
MSW have similar densities and the front between them has no strong jet associated
with it. In the five consecutive fine scale surveys of the Almeria-Oran front (Figure
2), the presence of a θ S signature of MSW is variable (Figure 4). This variability
drew our attention to the presence of significant ageostrophic circulation and therefore
we will spend some time discussing it here. The θ S envelope for FSS1 shows no
signature of MSW. By FSS2, there is a clear high salinity (~37.75) high temperature
(~16.2 °C) signature of MSW. This becomes more pronounced, salinity >37.8 and
temperature ~16.4 °C, during FSS3. During FSS4 and 5, the θ S signature of MSW
appears to mix away, becoming colder and more saline as it does so.
5
As discussed by Tintoré et al. (1988), there is a covergence at the northern end of the
Almeria-Oran front between the rapid inflow of MAW and a net south-westward flow
(10-20 cms-1) along the Spanish coast (Figure 5). The convergence in the surface
waters maintains a sharp density gradient at the front and provides a source of
potential energy for a baroclinic component to the instability that we will demonstrate
in this paper.
During our observations, the net south-westward flow along the
Spanish coast transported MSW (salinity > 37.5) ~100 km, from east of 0.5° W to the
region covered by the fine scale surveys (Figure 5), between LSS2 and FSS2. This
equates to a mean advection of ~15 cms-1.
We can follow the MSW signature better by plotting salinity on the 27.9 σ 0 surface
(Figure 7). Between FSS2 and FSS3, the high salinity signature of MSW, that had
reached the convergence at the north end of the Almeria-Oran front, was advected
along the front and, most importantly, down and across the front under the influence
of ageostrophic flow. During FSS3, MSW was clearly observed at the southern end
of legs h,i and j (Figure 2 and Figure 7) at depths of up to 150 m. This implies a
mean vertical velocity of at least 25 mday-1.
3)
Instability of the Almeria-Oran front
During the quickly repeated fine scale surveys, FSS1,2 and 3, the position and shape
of the Almeria-Oran front can be seen to change significantly in the SeaSoar CTD
data sets (Figures 5 and 7). The slope of the density surfaces across the front also
changed with time (Snaith et al., 1997), and position along the front (Figure 8)
indicating the existence of cross front and vertical circulation (Pollard and Regier,
1992). Along leg e, the front moved south and steepened between FSS1 and FSS2.
The front then moved back northwards so that during FSS3 the front was less steep
and further north than observed in FSS1. Further down stream, along leg j, the front
moved north and became less steep between FSS1 and FSS2. The front then moved
back southwards and steepened between FSS2 and FSS3; ending up in virtually the
same position as it had been observed in FSS1. These observations are consistent
with baroclinic instability and the propagation of wavelike meanders along the front
(Hoskins and Bretherton, 1972; Munk et al., 2000).
6
Killworth et al. (1984), considered a two layer model of a front similar to that found
in our observations. Their model was set in a semi-infinite domain with an upper
layer that vanished at some average position in the y axis direction forming a surface
front (Figure 9). This configuration was shown to be unstable to small perturbations
whatever the potential vorticity distribution. A detailed analysis of the model was
presented both in the original paper and by Allen et al. (1994), therefore we chose not
to repeat this discussion here. Following Killworth et al. (1984), the wavelength of
the fastest growing mode of instability is given as
λ f = 5.5Ro (r − 1) 4 ,
1
(1)
with a phase speed of
cr =
0.113
(r − 1) 2
1
,
(2)
where the Rossby radius is given by
Ro = (g ′H) 2 f ,
1
−1
(3)
g ′ is the reduced gravity g ∆ρ ρ , f is the local coriolis parameter, H is the
0
asymptotic thickness of the upper layer, rH is the total water depth (Figure 9) and
the phase speed of instability has a real component, cr . For the Almeria-Oran front
we can take the values f = 8.6 × 10 −5 rad s−1 , g ′ ≈ 0.02 ms −2 , H ≈ 150 m (Figure 8)
and Ro ≈ 20 km . Previous authors have commented on the quiescent nature of the
deeper layers of LIW and Mediterranean Deep Water (MDW) (Tintoré et al. 1991,
Viúdez et al. 1996b) and have considered sensible levels of no motion at around 200
m, later on in this paper we will reinforce this view with our observations. This
would lead us to consider perhaps a value of r = 1.3 and thus λ f ≈ 80 km and
cr ≈ 20 cms−1 for the dominant mode of instability.
7
Perhaps more significantly, Killworth et al. (1984) derived an equation for the growth
of the zonally averaged total perturbation energy.
This separated the relative
importance of horizontal and vertical shear processes in the growth of instability.
Allen et al. (1994) simplified their ratio of barotropic to baroclinic contribution as
Ro 2
g ′H
=
f 2 Lo 2 Lo 2
(4)
where Lo is the width of the front and geostrophic balance is assumed. For our
observations of the Almeria-Oran front, Lo ≈ 45 km (Figures 5 and 8) and therefore
only 20% of the total perturbation energy would be estimated to result from
barotropic, horizontal shear, processes.
Returning to our observations, the ADCP current vectors show a coherent circulation
over the scales of the surveys (Figures 5 and 7) suggesting only small contamination
by tidal flows and inertial motions even near the surface. The wind field, recorded by
the meteorological team on board (Allen et al., 1997a), was generally light to
moderate (rarely above 15 ms-1) and of short fetch (less than 24 hours) until the end of
FSS3 (Figure 10). Plotting geostrophic shear profiles for leg e of FSS1 (Figure 11),
calculated from the density gradients between SeaSoar CTD profiles, indicates
significant vertical shear in the Almeria-Oran frontal jet associated with the sharp
change in stratification across the pycnocline between the surface and intermediate
water masses.
VM-ADCP velocity profiles (Figure 11) are consistent with the
geostrophic shear profiles but indicate the existence of an ageostrophic flow
concordant with the position and spatial scale of the front. The vertical shear in the
jet is such as to eliminate any coherent residual signature of the surface currents at
depths greater than 150 m (Allen et al., 1997c). A streamfunction fitted to the VMADCP velocities at 198 m, following Allen (1995) and Pollard and Regier (1992),
produces a dynamic height anomaly field an order of magnitude lower than that at the
surface.
In the following analyses of the SeaSoar hydrographic data we have used the VMADCP data to provide a reference dynamic height anomaly field at 198 m depth.
However, as suggested above, this does not give results that are significantly different
8
from those obtained by assuming a level of no motion at 198 m (not shown). For this
data set we have chosen not to employ the method of Rudnick (1996) or Naveira
Garabato et al. (2000), where VM-ADCP data at all depth levels are used in the form
of streamfunctions, and our justification is as follows. We have discussed that above
150 m our data indicate the existence of a large horizontal ageostrophic flow coherent
with the scale of the front, perhaps 15-25 cms-1 in magnitude (Figure 11). Indeed
Viudez et al. (2000) and Gomis et al. (2001) suggest that much of this ageostrophic
flow may be horizontally non-divergent and not balanced by the vertical circulation
that we are trying to diagnose. The diagnosis of mesoscale vertical motion using the
omega equation, either under QG balance as we will present in section 4 or semigeostrophic balance as introduced by Hoskins (1975), requires the geostrophic
velocity field to be well known and not significantly contaminated by ageostrophic
flow whether or not the latter is in balance with the vertical circulation.
Processed SeaSoar and VM-ADCP data were mapped to a regular grid using a
computationally inexpensive anisotropic Gaussian filter as described in Allen et al.
(1995) and (2000). At each depth level, the filtered values Φ k at the grid coordinates
(x k , y k ) were given by
∑
Φ =
∑e ( )
n
− d
φ ie ( )
2
ik
k
i =1
n
− d 2ik
(5)
i =1
where φi are the n observations at each depth level,
2
2
1 (x i − x k ) (yi − yk )
d = 2
+
,
L
a2
b2
2
ik
(6)
a × L and b × L are the horizontal length scales and the summation is over
observations which fall within a search ellipse defined by the values of a and b. The
grid had 71 points in each of the x and y directions and depth levels every 8 m from
9
5 m to 405 m. The axes of the grid were rotated such that the positive x direction
was 66° clockwise from north on a mercator projection of reference 36.25° latitude.
The north (south) corner of the grid had geographical co-ordinates 1.0941° W,
37.0900° N (1.8601° W, 35.4825° N).
The anisotropic filter axes were rotated
relative to the grid to lie approximately along and across the FSS track legs, i.e. with
the filter positive x axis direction 5° clockwise from north. The along track and
across track filter length scales were selected to be 8 km and 25 km respectively, to
reflect the Nyquist minimum resolvable wavelength for observations with along track
and across track sample spacing of ~4 km and ~12 km respectively.
Geostrophic relative vorticity,
∂U ∂V
,
−
∂y ∂x
ςg =
(7)
was calculated from the geostrophic velocities,
(U,V ) =
1
ρf
− ∂p ′ , ∂p ′ ,
∂y ∂x
(8)
where p ′ is the dynamic height, from the SeaSoar CTD data, referenced to a
streamfunction fitted to the VM-ADCP velocities at 198 m (discussed above). In
Figure 12 maps of geostrophic relative vorticity at a depth of 53 m are plotted for
FSS1-3. These maps suggest that the regions of high cyclonic vorticity propagate
along the front. The direction of subduction of MSW discussed in section 2 and the
frontal model of Killworth et al. (1984), discussed at the beginning of this section,
suggest that we can assume the direction of propagation of these vorticity anomalies
is the same as that of the mean flow. Therefore, by inspection of Figure 12, we
estimate that the wavelength and phase speed of these features are ~ 90 km and order
10 cms-1 respectively.
Satellite images (Figure 13) indicate mesoscale instability at a wavelength of 40-50
km and a phase speed of order 20 cms-1. A detailed sea surface temperature survey,
carried out by the UK Meteorological Office Research Flight on the 14th December
10
1996 using an IR radiometer on board their Lockheed Hercules C130 aircraft (Figure
14) (Allen et al., 1997a), also supports a characteristic instability wavelength
considerably less than that reported above for the in-situ FSS observations, in this
case perhaps 50-60 km. The apparent inconsistency here between in-situ and remote
observations is in fact easily explained by considering the synopticity (Allen et al.,
2000) of the FSS in relation to the evolution of instability at the Almeria-Oran Front.
In a box style survey pattern of equally spaced parallel legs like those discussed by
Allen et al. 2000, then there is an effective velocity of the research vessel along the
front, v f , given by,
v f = vs
S
,
(S + Tl )
(9)
where v s is the speed of the ship, Tl is the length of each cross front leg of the ship’s
track and S is the track leg separation. For FSS1-3, Tl is not a constant and therefore
we have to define a mean velocity along the front for the research vessel,
v f = vs
S
,
(S + Tl )
(10)
where the over-bar denotes a mean value over the duration of each survey. Taking
−1
v s = 4.5 ms
(~ 9 knots), S = 12 km and Tl ≈ 90 km then v f ≈ 0.5 ms−1 . We can
now define a non-dimensional synopticity parameter for our surveys,
Γ=
vf
cr
≈ 2,
(11)
where we recall that cr is the real component of the characteristic phase speed for the
instability. Following the Doppler shift like analogy of Allen et al. (2000), then the
apparent wavelength, λ a , from the in-situ FSS1-3 may be corrected by
λ = λ a (1 − Γ −1 ) = 45 km .
11
(12)
And therefore the in-situ and remote observations are quite consistent.
These results highlight the difficulty of obtaining synoptic observations of mesoscale
features. Furthermore, we have only considered the real component of the phase
speed of instability. The instabilities may have a finite growth rate that we are unable
to determine from these observations. However, Figure 8 indicates that the extent of
horizontal movement of the front is similar everywhere along the front. Indeed we
know that the growth of instabilities may be limited by larger scale deformation fields
(Spall, 1997); in this case perhaps the confluence of Atlantic and Mediterranean
surface waters at the northern end of the front.
4)
Vertical velocities
Assuming tidal velocities and inertial motions are small, then for any suitable depth
level we can consider a Rossby number, ε , defined as
ε=
ζ
−1
ζg
(13)
where ζ g is given in (7) and ζ takes a similar form replacing the geostrophic
velocities with those measured by the VM-ADCP. Perceiving that ε is too noisy to
map directly, in Figure 12 we present maps of ζ for FSS1-3 at a depth of 54 m.
Comparing with those of ζ g also in Figure 12 and discussed earlier, we estimate that
ε ≤ 0.3 provides a sensible bound for the Rossby number of the flow. It is therefore
reasonable to suggest that quasi-geostrophic (QG) balance is sufficient to
quantitatively examine the ageostrophic flow at least to leading order.
Following previous observational studies (Leach 1987, Tintoré et al. 1991, Pollard
and Regier 1992, Fiekas et al. 1994, Viúdez et al. 1996a, Allen and Smeed 1996,
Rudnick 1996 and Shearman et al. 1999) and modelling studies (Strass 1994, Pinot et
al. 1996 and Allen et al. 2000) we have used the QG form of the omega equation
(Hoskins et al., 1978) to diagnose the vertical velocity field for each FSS. On an β -
12
plane, and for timescales at which the effects of diffusion can be considered
negligible, this equation can be written as
f2
2
∂ 2w
∂2
β ∂2 P
2 ∂
w
=
∇
.Q
+
+
N
+
,
2
h
∂z 2
∂x ∂y 2
ρ 0 ∂x∂z
(14)
∂V ∂U ∂V ∂V
∂U ∂U ∂U ∂V
where Q = 2 f
+
+
,−2 f
, and may be easily
∂x ∂z
∂y ∂z
∂x ∂z ∂y ∂z
derived from the QG momentum equations as given in a number of the references
above and therefore not repeated here. The symbol usage is conventional, f is the
coriolis parameter, (U,V,0) are the geostrophic components of the velocity field, w is
the vertical component of the total velocity field, N is the Brunt Väisälä frequency
and (x, y, z ) are the usual right handed axis set with z positive upwards. The β term,
where β =
f cot φ 0
for a mean latitude φ0 and earth’s radius R , is generally not
R
significant in forcing the solution for w . By assuming some boundary conditions for
w at every point around the data set equation (14) may be solved for a given
geostrophic velocity field provided the variability in all three dimensions is properly
resolved by the spacing of the observations.
After breaking (14) down into a set of simultaneous finite difference equations,
solutions for w were obtained using a NAG library routine based around Stone’s
Strongly Implicit Procedure. We sought solutions for the boundary condition w = 0
everywhere around our observational domain. Allen and Smeed (1996) suggested
that solutions for w showed little sensitivity to lateral boundary conditions. However,
more recent studies (Gomis et al., 2001) have shown that there may be much greater
sensitivity to lateral boundaries in strongly advective regions. Therefore, we have
chosen to ignore values of w where solutions to (14) for lateral boundary conditions
∂w
∂n = 0 ,where n is a unit vector perpendicular to the boundary, vary from w by
more than 30% of RMS w for any particular depth level. This is approximately
equivalent to a 10% tolerance on the peak values of w . Allen and Smeed (1996)
discussed how solutions to (14) can be sensitive to the bottom boundary condition:
however, we have shown that at the Almeria-Oran front there is a sharp contrast
13
between the frontal dynamics in the upper 150 m of the water column and the
quiescence of the deeper temperature minimum layer (TML) and LIW. Thus we
expect our boundary condition of w = 0 at the bottom of our dataset, 397 m, to be
consistent with the observations.
In Figure 15, we have mapped w at a depth of 77 m. This represents a sensible
compromise for all three surveys, FSS1-3, where the solutions to (14) derive
maximum vertical velocities at water depths between 50-100 m. This is consistent
with the change in slope of the frontal interface shown in Figure 8. The horizontal
pattern of vertical motion does not change significantly with depth. As expected
(Gill, 1982) we see downward vertical velocities on the upstream side of positive
(cyclonic) vorticity maxima (Figure 12). The magnitude of the derived vertical
motion is only ~10 mday-1 (≈ 1.0 × 10 −4 ms −1 ) and therefore less than half of that
expected in section 2 by the cross front transport of MSW. However, we have shown
in section 3 that the error in assuming synopticity for each FSS1-3 results in an
overestimation, λ a , of the wavelength of instability, λ , such that from (11) and (12)
λa
≈2.
λ
(15)
Allen et al. (2000) showed that to first order in a quasi-synoptic survey, the apparent
magnitude of w , wa , varied as the inverse of the apparent wavelength; i.e.
wa
w
≈
λ
= (1− Γ −1 )≈ 0.5.
λa
(16)
Thus both our diagnoses and our direct observations are consistent with mesoscale
vertical motion of around 20-25 mday-1. Vertical velocities of this magnitude are also
consistent with primitive equation modelling studies of upwelling and downwelling
associated with baroclinic instability (Samelson, 1993; Pinot et al., 1996 and Nurser
and Zhang, 2000).
14
Although our surveys FSS1-3 provide quasi-synoptic snapshots of the propagation of
mesoscale instabilities along the Almeria-Oran front. They are asynoptic with respect
to the advective flow along the front, v f < U (Figures 7 and 11). Therefore we
cannot directly derive the vertical transports associated with the diagnosed vertical
velocities by correlating the w fields with temperature or any other observed water
parameter. However, as a scale analysis, if we take a scale for w of 20 mday-1
(≈ 2.0 × 10
−4
ms −1 ), λ 2 ≈ 20 km and assume circular geometry with radius λ 4 then
we can achieve the periodic subduction of MSW at a rate of ~6 × 104 m3 s−1 vertically.
Taking a mean temperature difference of 1.5 °C between MSW and A-MIW, a
density of 1027.9 kgm −3 and a specific heat capacity of 3900 J kg −1 K −1 , then this
implies a periodic vertical heat transport of ~1.15 × 10 3 Wm−2 . In Figure 16, we
present contoured temperature and salinity sections for leg h of FSS3 which clearly
shows the subducted warm MSW temperature anomalies in the thermocline between
the MAW and TML/LIW.
Josey et al. (1998, 1999) indicate that in winter, the surface waters of the W.
Mediterranean loose heat to the atmosphere at a rate of ~1.0 × 102 Wm−2 . Of course
this climatology represents a basin scale average, but our scaling arguments suggest
that upper ocean mesoscale vertical motion, associated with unstable fronts and eddies
may provide a local mechanism for significant heat loss from the surface layers to the
deep ocean. Baldacci et al (2001) determined regions of upwelling in the Alboran
Sea, by analysis of AVHRR sea surface temperature data, in areas where Gomis et al.
(2001) have derived vertical velocities similar in magnitude to those presented here.
Through an analysis of CTD surveys of the western Alboran Sea and a coastal
upwelling model, Sarhan et al. (2000) computed ~ 3 × 107 m2 annual vertical flux per
unit length parallel to the coast for each of two mechanisms, the departure of the
Atlantic inflow jet from the Spanish coast and the wind driven offshore transport.
Both mechanisms are shown to exist for approximately 50% of the year and therefore
over our length scale of 20 km the more instantaneous vertical transport of
~ 4 × 10 4 m3 s−1 is remarkably consistent with our subduction rate for MSW.
5)
Summary and conclusions
15
During the second component of the observational phase of the EU OMEGA project
on RRS Discovery cruise 224, five repeated fine-scale surveys were made in the
Alboran Sea in the region of the Almeria-Oran front. The multidisciplinary surveys
included bioacoustic data from both the shipboard 150 kHz ADCP and a SIMRAD
EK500 echosounder (at 38, 120 and 200 kHz), and hydrographic data from SeaSoar.
In addition, high resolution biological net samples were taken across the front with a
Longhurst-Hardy Plankton Recorder (LHPR). In this paper we have presented a
detailed analysis of the hydrographic data for the first three fine scale surveys (FSS)
which were rapidly repeated during December 1996.
A complementary paper
(Fielding et al., 2001) compares these analyses with the concurrent observations of
biological distributions to look at the interdisciplinary influence of mesoscale physical
flows.
The variability in the position and shape of the Almeria-Oran front and the strongly
sheared velocity field were indicators of mesoscale frontal instability and the presence
of significant ageostrophic flow. The analysis of temperature and salinity on density
surfaces has shown Mediterranean Surface Water (MSW) advecting westwards along
the Spanish coast until it reaches the Almeria-Oran front. At which point, some of
this water is entrained into the frontal jet and is drawn down along the front at a
subduction rate estimated at 25 mday-1. Horizontal current shear across the front is
skewed to the north-east, the cyclonic side of the front. In the pycnocline, layer
thickness changes in response to the generation of cyclonic relative vorticity. From
the rapid repetition of the surveys we infer the advection of vorticity and vertical
motion. Solving the quasi-geostrophic omega equation, we have calculated vertical
velocities. These derived vertical velocities, ~10 mday-1 are smaller than expected
from the observed subduction of MSW. However, recent studies of the effects of
asynopticity on dynamical data analyses (Allen et al. 2000) enable us to explain the
differences in the apparent magnitude of w .
Regarding the synopticity of our observations, we have addressed this through an
error analysis based on information from concurrent airborne and satellite
observations that give a more synoptic view of sea surface temperature.
These
observations indicate a real component of the phase speed of instabilities at around 20
16
cms-1. Each leg of our fine scale surveys were repeated with a five day interval. And
therefore for a wavelength of 50-100 km the repeat period of our surveys is a little
outside the Nyquist limit for properly resolving the propagation of instabilities. Thus
we cannot interpolate between surveys to obtain a more synoptic survey as described
in Gomis et al. (2001). We intend to use the method of Rixen et al. 2001 to relocate
our observations relative to some derived mean flow in a future analysis. However,
this technique is novel and complex, it is properly the subject of a future manuscript
and beyond the scope of the work presented here.
Following a scaling argument we have estimated the heat transport associated with the
mesoscale subduction.
Traditionally, baroclinic instability is responsible for
upwelling warm, light water and subducting cold, dense water as available potential
energy is converted to kinetic energy and released across the front. During the winter
months the surface waters of the western W. Mediterranean are made up of MSW that
has been heated and evaporated during the preceeding summer and MAW inflowing
from the Strait of Gibraltar and passing around the gyre system of the Alboran Sea.
The MSW is denser and subducted by the baroclinic instability at the Almeria-Oran
front, but it is also warmer; the high density arising from its high salinity. Therefore
these instabilities may result in a net heat loss from the surface layers to the deep
ocean. Further more this heat loss could locally exceed that lost to the atmosphere
during the winter.
Acknowledgements.
We thank the Master, crew and scientists on board RRS Discovery cruise 224 for both
a comprehensive data set and a splendid Christmas.
We also thank the EU
commission for their support under Framework 4, contract no MAS3-CT95-0001
(OMEGA), and the DERA under the NERC/MOD Joint Grant Scheme project TOES.
Many thanks also to the editor and the reviewers for their comments and suggestions.
References
Allen J. T., D. A. Smeed and A. L. Chadwick, 1994. Eddies and mixing at the
Iceland-Færœs Front. Deep Sea Research, 41(1), 51-79.
17
Allen J. T., 1995. Subtidal and tidal currents in the vicinity of the Iceland-Færœs
Front. J. Atmos. Ocean. Tech. 12(3), 567-588.
Allen, J.T. and D. A. Smeed, 1996. Potential vorticity and vertical velocity at the
Iceland Færœs Front. J. Phys. Oceanogr. 26(12), 2611-2634
Allen J. T. et al., 1997a. RRS Discovery Cruise 224 (leg 1) 27th Nov. 1996 - 29th
Dec. 1996. OMEGA (Observations and Modelling of Eddy scale Geostrophic and
Ageostrophic motion) Physical and Biological Observations in the Eastern Alboran
Sea (Western Mediterranean). Southampton Oceanography Centre, Cruise Report
No. 14, 92pp & figs.
Allen J. T., M. C. Hartman, D. A. Smeed, S. G. Alderson, H. M. Snaith and J.
Smithers, 1997b. SeaSoar and ADCP backscatter observations during RRS Discovery
Cruise 224, 27 Nov 1996 - 17 Jan 1997. Southampton Oceanography Centre, Internal
Document No. 24, 164 pp.
Allen J. T., S. G. Alderson, S. Ruiz, A. G. Nurser and G. Griffiths, 1997c. Shipboard
VM-ADCP observations during RRS Discovery cruise 224, 27 Nov 1996 - 17 Jan
1997. Southampton Oceanography Centre, Internal Document No.21, 114 pp.
Allen, J. T., D. A. Smeed, A. J. G. Nurser, J. W. Zhang and M. Rixen, 2000.
Diagnosing vertical velocities with the QG omega equation: an examination of the
errors due to sampling strategy. Deep Sea Res. 1. [in press].
Arnone, R. A., D. A. Wiesenburg and K. D. Saunders, 1990.
The origin and
characteristics of the Algerian Current. J. Geophys. Res., 95(C2), 1587-1598.
Baldacci, A., G. Corsini, M. Diani, O. Chic, J. Font, P. Cipollini, T. Forrester, T.
Guymer and H. Snaith, 1998. The OMEGA atlas of remotely sensed data. Avail.
from Università degli Studi di Pisa, Dipartimento di Ingegneria dell’Informazione,
Via Diotisalvi, 2, 56126 Pisa, Italy. 64pp.
18
Baldacci, A., G. Corsini, R. Grasso, G. Manzella, J. T. Allen, P. Cipollini, T. H.
Guymer and H. M. Snaith, 2001. A study of the Alboran Sea mesoscale system by
means of empirical orthogonal function decomposition of satellite data. Journal of
Marine Systems, (in press).
Benzohra, M. and C. Millot, 1995. Characteristics and circulation of the surface and
intermediate water masses off Algeria. Deep Sea Res. 1, 42(10), 1803-1830.
Brankart, J. M. and P. Brasseur, 1998. The general circulation in the Mediterranean
Sea: a climatological approach, Journal of Marine Systems, 18, 41-70.
Folkard, A. M., P. A. Davies and L. Prieur, 1994. The surface temperature field and
dynamical structure of the Almeria-Oran front from simultaneous shipboard and
satellite data. J. Mar. Sys. 5, 205-222.
Fiekas, V., H. Leach, K.-J. Mirbach and J. D. Woods, 1994. Mesoscale instability
and upwelling. Part 1: Observations at the North Atlantic Intergyre Front. J. Phys.
Oceanogr. 24, 1750-1758.
Fielding, S., N. Crisp, J. T. Allen, M. C. Hartman, B. Rabe and H. S. J. Roe, 2001.
Mesoscale subduction at the Almeria-Oran front. Part 2: biophysical interactions. J.
Mar. Sys. [submitted - this issue].
Font, J., C. Millot, J. Salas, A. Julià and O. Chic, 1998. The drift of Modified Atlantic
Water from the Alboran Sea to the eastern Mediterranean. Scientia Marina, 62(3),
211-216.
Gascard, J.-C., 1978. Mediterranean deep water formation baroclinic instability and
oceanic eddies. Oceanologica Acta, 1(3), 315-330.
Gascard, J.-C. and C. Richez, 1985. Water masses and circulation in the western
Alboran Sea and in the Straits of Gibraltar. Prog. in Oceanog., 15, 157-216.
19
Gill, A. E., 1982. Atmosphere-Ocean Dynamics (International geophysics series vol.
30). Academic Press, San Diego, 662pp.
Gomis, D., S. Ruiz and M. A. Pedder, 2001.
Diagnostic analysis of the 3D
ageostrophic circulation from a multivariate spatial interpolation of CTD and ADCP
data. Deep Sea Res. 1, 48, 269-295.
Heburn, G. W. and P. E. LaViolette, 1990.
Variations in the structure of the
anticyclonic gyres found in the Alboran Sea. J. Geophys. Res., 95(C2), 1599-1613.
Hoskins, B. J. and F. P. Bretherton, 1972.
Atmospheric frontogenesis models:
mathematical formulation and solution. J. Atmos. Sci. 29, 11-37.
Hoskins, B. J., 1975.
The geostrophic momentum approximation and the semi-
geostrophic approximation. J. Atmos. Sci. 32, 233-242.
Hoskins, B. J., I. Draghici and H. C. Davies, 1978. A new look at the ω-equation.
Quart. J. Roy. Met. Soc., Vol 104, 31-38.
Josey, S. A., E. C. Kent and P. K. Taylor, 1998. The Southampton Oceanography
Centre (SOC) ocean - atmosphere heat, momentum and freshwater flux atlas.
Southampton Oceanography Centre Report No. 6, 25pp.
Josey, S. A., E. C. Kent and P. K. Taylor, 1999. New insights into the ocean heat
budget closure problem from analysis of the SOC air-sea flux climatology.
J.
Climate,12(9), 2856-2880.
Killworth, P. D., N. Paldor and M. E. Stern, 1984. Wave propagation and growth on
a surface front in a two layer geostrophic current. Journal of Marine Research, 42,
761-785.
Leach, H., 1987. The diagnosis of synoptic-scale vertical motion in the seasonal
thermocline. Deep-Sea Res., 34A(12), 2005-2017.
20
Millot, C., I. Taupier-Letage and M. Benzohra, 1990. The Algerian eddies. EarthScience Rev., 27, 203-219.
Munk, W., L. Armi, K. Fischer and F. Zachariasen, 2000. Spirals on the sea. Proc.
R. Soc. Lond. A, 456, 1217-1280.
Naveira Garabato, A. C., J. T. Allen, H. Leach, V. H. Strass and R. T. Pollard, 2000.
Mesoscale subduction at the Antarctic Polar Front driven by baroclinic instability. J.
Phys. Oceanogr., [submitted].
Nurser, A. J. G. and J. W. Zhang, 2000. Eddy-induced mixed layer shallowing and
mixed layer/thermocline exchange. Journal of Geophys. Res., 105(C9), 21851-21868.
Pinot, J.-M., J. Tintoré and D.-P. Wang, 1996. A study of the omega equation for
diagnosing vertical motions at ocean fronts. J. Mar. Res., 54, 239-259.
Pinot, J.-M. and A. Ganachaud, 1999. The role of winter intermediate waters in the
spring-summer circulation of the Balearic Sea. 1. Hydrography and inverse box
modeling. Journal of Geophysical Res., 104(C12), 29843-29864.
Pollard, R. T., 1986. Frontal surveys with a towed profiling conductivity/temperature/
depth measurement package (SeaSoar). Nature, 323, 433-435.
Pollard, R. T. and L. A. Regier, 1992. Vorticity and vertical circulation at an ocean
front. J. Phys. Oceanogr. 22, 1365-1378.
Pugh, P. R. et al., 1997. RRS Discovery Cruise 224 (leg 2) 30th Dec 1996 - 17th Jan
1997. Biological and Physical investigations in the region of the Almeria-Oran Front
(Western Mediterranean). Southampton Oceanography Centre Cruise Report No. 8,
50pp.
21
Rixen M, J. T. Allen and J.-M. Beckers, 2001. Diagnosis of vertical velocities with
the QG Omega Equation: a relocation method to obtain pseudo-synoptic data sets.
Deep Sea Res. (1), 48(6), 1347-1373.
Rudnick, D. L., 1996.
Intensive surveys of the Azores Front 2.
Inferring the
geostrophic and vertical velocity fields. J. Geophys. Res. 101(C7), 16291-16303.
Samelson, R. M., 1993. Linear instability of a mixed-layer front. J. Geophys. Res. 98,
10195-10204.
Sarhan, T., J. G. Lafuente, M. Vargas, J. M. Vargas and F. Plaza, 2000. Upwelling
mechanisms in the northwestern Alboran Sea. Journal of Marine Systems, 23, 317331.
Shearman R. K., J. A. Barth and P. M. Kosro, 1999.
Diagnosis of the three-
dimensional circulation associated with mesoscale motion in the California Current.
J. Phys. Oceanogr., 29(4), 651-670.
Snaith, H. M., T. H. Guymer, T. N. Forrester, P. Cipollini, J. T. Allen, S. G. Alderson,
and D. A. Smeed,, 1997. ERS, shipborne and aircraft observations of circulation in
the region of the Almeria-Oran front. Proceedings of the Third ERS Symposium Space at the Service of our Environment, 17th-21st March 1997, Florence, Italy,
European Space Agency, 1997, 1403-1406.
Spall, M. A., 1997. Baroclinic jets in confluent flow. J. Phys. Oceanogr., 27, 10541071.
Sparnocchia, S., G. M. R. Manzella and P. E. La Violette, 1994. The interannual and
seasonal variability of the MAW and LIW core properties in the western
Mediterranean Sea. Coastal and Estuarine Studies, 46, 177-194.
Strass, V. H., 1994.
Mesoscale instability and upwelling. Part 2: Testing the
diagnostics of vertical motion with a three-dimensional ocean front model. J. Phys.
Oceangr., 24, 1759-1767.
22
Taupier-Letage, I. and C. Millot, 1988. Surface circulation in the Algerian basin
during 1984. Oceanologica Acta, sp. issue 9, 79-85.
Tintoré, J., P. E. LaViolette, I. Blade and A. Cruzado, 1988. A study of an intense
density front in the eastern Alboran Sea: the Almeria-Oran front. J. Phys. Oceanogr.,
18, 1384-1397.
Tintoré, J., D. Gomis, S. Alonso and G. Parrilla, 1991. Mesoscale dynamics and
vertical motion in the Alboran Sea. J. Phys. Oceanogr., 21, 811-823.
Viúdez, Á., J. Tintoré and R. L. Haney, 1996a. Circulation in the Alboran Sea as
determined by quasi-synoptic hydrographic observations. Part I. Three-dimensional
structure of the two anticyclonic gyres. J. Phys. Oceanogr., 26, 684-705.
Viúdez, Á., R. L. Haney and J. Tintoré, 1996b. Circulation in the Alboran Sea as
determined by quasi-synoptic hydrographic observations. Part II. Mesoscale
ageostrophic motion diagnosed through density dynamical assimilation. J. Phys.
Oceanogr., 26, 706-724.
Viúdez, A., J.-M. Pinot and R. L. Haney, 1998. On the upper layer circulation in the
Alboran Sea. J. Geophys. Res., 103(C10), 21653-21666.
Viúdez, A., R. L. Haney and J. T. Allen, 2000. A study of the balance of horizontal
momentum in a vertical shearing current. J. Phys. Oceanogr., 30(3), 572-589.
23
Figures:
Figure 1:
Cartoon of the two gyre surface circulation of the Alboran Sea,
following Arnone et al. (1990) and others.
Figure 2:
NOAA-14 AVHRR images provided by the Natural Environment
Research Council through the Southampton Oceanography Centre and processed at
the University of Pisa (Baldacci et al., 1998).
Figure 3.
Cruise tracks for Large Scale Surveys 1 and 2 (LSS1 and LSS2), Fine
Scale Surveys 1-5 (FSS1-5) and a survey of the head of the Algerian Current (ACS).
Figure 4.
(a)
Potential temperature as a function of salinity for all the SeaSoar data
collected during the second large scale survey. Lines of constant density are also
shown at intervals of 0.1 kg/m3. Note the relatively fresh surface modified Atlantic
waters (MAW) in the eastern Alboran gyre, the warm salty Mediterranean surface
waters (MSW), the Levantine water (LIW) and the temperature minimum layer
(TML).
(b)
Envelopes of potential temperature as a function of salinity for SeaSoar LSS2
and FSS1-5 of the Almeria-Oran front.
Figure 5.
Salinity (coloured dots) and VM-ADCP derived current velocity
vectors at 14 m depth for LSS2 and FSS1-3.
Figure 6.
Composite indicating the three dimensional structure of the upper 350
m of the water column during LSS2. The dotted cruise tracks are coloured to show the
horizontal salinity distribution at depths of 13 m and 157 m. The vertical contoured
section shows temperature along leg PD of the cruise track (Figure 2), the vertical
axis has been removed for clarity but the dotted tracks for leg PD on the two
horizontal slices are shown in the plane of the vertical section. Only the horizontal
planes are annotated. The solid black cartoon lines on the horizontal planes indicate
the boundaries between water types observed at the time of LSS2.
24
Figure 7.
Salinity (coloured dots) on the density surface σ0=27.9 and VM-ADCP
derived current velocity vectors at 54 m depth for FSS2 (a) and FSS3 (b), pressure
also shown (c) for FSS3.
Figure 8:
(a) contoured density sections for leg e of FSS1-3 (1-3, top-bottom);
(b) density interval sigma-t = 27.4-27.6 for leg e of FSS1-3 overplotted on the same
diagram and; (c) density interval sigma-t = 27.4-27.6 for leg j of FSS1-3, overplotted
on the same diagram.
Figure 9:
The frontal model configuration used by Killworth et al. (1984).
Figure 10:
Wind speed and direction, averaged over 1 hour intervals, for the
period Julian day 345-364 during RRS Discovery cruise 224.
Figure 11:
Geostrophic velocity profiles relative to no motion at 198 m (solid
lines) and ADCP velocity relative to 194-202 m bin (dotted lines) for leg e of FSS1.
Each pair of profiles is offset by 50 cms-1.
Figure 12:
Maps of geostrophic relative vorticity (a) and VM-ADCP relative
vorticity (b) at a depth of ~50 m are plotted for FSS1-3 (top-bottom).
Figure 13:
AVHRR SST images for 02:31 on the 26th December 1996 (top) and
02:21 on the 27th December 1996 (bottom). Dotted red curves have been added to
indicate the growth and propagation of an instability on the Almeria-Oran front.
(Images courtesy of the Remote Sensing Data Analysis Service, Plymouth,
http://www.npm.ac.uk/rsdas/)
Figure 14.
Sea surface temperature as observed by an IR radiometer on board the
UK Meteorological Office Research Flight’s Lockheed Hercules C130 aircraft during
the 14th December 1996.
25
Figure 15:
Maps of vertical velocity at a depth of 77 m are plotted for FSS1-3
(top-bottom).
Figure 16: Contoured temperature and salinity sections for leg h of FSS3; which
clearly show subducted MSW temperature and salinity anomalies south of the front in
the thermocline between MAW and TML/LIW.
26