Observations of Turbulence Associated with Highly
Nonlinear, Near-Surface
Solitons Over the Continental Shelf
T. P. Stanton
Department of Oceanography, Naval Postgraduate School,
Monterey, CA 93943
stanton@oc.nps.navy.mil
Abstract
A three week observation of upper ocean current, temperature, density and
dissipation profiles near the shelf break off Northern Oregon has allowed
the form and effects of solitons generated at the nearby shelf break to
be studied. Strongly nonlinear Solitary Internal Waves (SIW) were continually
observed on the leading edge of a semi-diurnal internal tide which propagated
past our measurement site throughout a neap to spring tidal period. SIW
timeseries of displacement, currents, dissipation rates and turbulent diffusivities
from neap and spring tide forcing conditions are being used to characterize
the effects of these energetic SIW/internal bore structures on the upper
ocean.
The COPE Experiment
The Coastal Ocean Probe Experiment (COPE) was an interdisciplinary experiment
designed to study the surface signatures and hydrodynamics of coastal internal
waves over the continental shelf. The observation site, offshore from Tilamook
Oregon, was chosen for the shallow pycnocline and strong surface signatures
of internal waves which had previously been observed in satellite SAR imagery
and visual observations from aircraft overflights prior to the experiment.
High powered Ka and X band Doppler radars overlooked the ocean from a 750m
high coastal mountain top, to measure radar surface backscatter properties
(see Kropfli et al, 1998). The radars also made timeseries maps of 150m
horizontal resolution surface backscatter levels and scatterer velocity
spanning an 50 Km radius offshore from the radars. These map sequences
provided a high resolution view of the two dimensional structure of the
propagating internal wave surface signatures. FLIP was tri-moored in 140m
of water near the edge of the shelf, providing a stable platform for atmospheric,
surface interface and oceanographic measurements during a three week period
in October 1994.
Observations of the upper ocean structure were made with an automated
Loose-tethered Microstructure Profiler (LMP) which measured 0.1m resolution
temperature, conductivity (and hence density) from the ocean surface to
a depth of 35m while simultaneously measuring temperature and velocity
microgradients, allowing thermal and turbulent energy dissipation rates
to be estimated. LMP profile cycles were completed every 80 s resulting
in 24000 temperature and density profiles during the observation period.
An 8m length instrumented frame suspended from a boom extending southward
from FLIP supported 5 acoustic travel time 3 component velocity sensors,
and an inertial tilt and heave sensor package, while a BADCP extended the
velocity profiles to 40m below the frame.
SIW Observations
The amplitude and nonlinearity of the SIW packets observed on the leading
edge of the semidiurnal internal tidal bore generated offshore from the
observation site were impressive. An example of a 24 hour temperature profile
timeseries in Figure 1 shows two cycles of a semidiurnal internal tidal
displacement of the of the pyconcline. The leading edge of the internal
tide consists of a series of strong negative SIW displacements up to 20m
downward from the initial 5m deep pycnocline depth at just prior to the
arrival of the bore / SIW structure (barely resolved on the 24 hour timescale
in Figure 1). Near the spring tide forcing, these SIW displacements had
surface signatures with longshore coherent scales beyond the 40-60 Km range
of the radars on Onion Peak. The leading edge of the SIW groups during
periods of strong offshore forcing had largely parallel wave fronts propagating
onshore, which can be seen in Figure 2, which is a snapshot of cross polarized
radar backscatter intensity measured at yearday 269.54, near the middle
of the timeseries in Figure 1. Onshore current pulses at the peak of the
displacements reached 0.8 ms-1, approaching the phase velocity
of the SIW. Stanton and Ostrovsky, 1998, showed that the highly nonlinear
SIW displacements were well modeled by a second order CombKdV equation,
a form which also matches the observed weak dependence between soliton
width and amplitude. The shallow initial depth and very large amplitudes
suggest that these SIW observations have record breaking nonlinearity in
geophysics.
Figure 1. A 24 hour profile timeseries of temperature
at the COPE site showing two cycles of a semidiurnal internal tidal bore
with solitons on the leading edge. This structure was characteristic of
spring tide forcing at the measurement site near the shelf break off Northern
Oregon.
Figure 2. A radar map of VVHH cross polarized
radar backscatter measured from a coastal mountain top as the leading edge
of the SIW set moved past FLIP at Yearday 269.54. FLIP can be seen as a
small line at 28Km range at approximately 255 T bearing. (Courtesy of Bob
Kropfli, NOAA ETL, Boulder Colorado).
Concurrent observations of turbulent thermal and velocity dissipation
rates, c and e , made by microstructure sensors on the LMP have allowed
changes in turbulence levels caused by the propagation of the SIW/internal
bores to be estimated. Changes in turbulent diffusivity of the water column
arise from a combination of modulation of the local buoyancy frequency
and thermal gradients by the internal bore / SIW packets, a decrease in
dynamic stability as vertical shear associated with the strong SIW current
pulses acts against the modified density profile, and a range of interactions
which occur between the strongly nonlinear SIW field, surface gravity waves,
and background internal wave field. Figure 3 illustrates the net effects
of these processes in changing the thermal turbulent diffusivity, KT
= c / Tz2 /2, where the vertical thermal gradient
Tz and thermal variance dissipation rate, c , are estimated
over 5 min and 1m vertical averaging intervals in order to resolve changes
within SIW displacement times, but with resulting marginal robustness of
the turbulence estimates. The two hour timeseries was taken at the start
of the 24 hour temperature profile timeseries in Figure 1, and has high
resolution isotherms superimposed to show the position of the SIW displacements.
This timeseries, which is representative of conditions during strong forcing,
suggests a sequence of events where the first SIW simply displaces high
diffusivity (low stratification) near-surface fluid downward, then even
after a single displacement, the diffusivity of the water column between
downward displacements increases significantly (keeping in mind the logarithmic
scale used in Figure 3). Successive displacements further increase the
turbulence (and therefore diffusivity) levels until the displacement amplitudes
decrease.
Figure 3 A two hour timeseries of turbulent thermal
diffusivity, with the logarithmic gray scale (log10 m2
s-1) shown on the right panel. 1 °
C interval isotherms have been superimposed to shown the position of the
SIW displacements.
Conclusions
Cope provided an opportunity to measure long timeseries of the detailed
structure of strongly nonlinear SIW associated with an internal tidal bore
near their source region at the outer edge of the continental shelf. It
is clear that these energetic SIW pulses have a significant effect on vertical
diffusive processes, net displacements of the surface layer, and large
effects on near-surface acoustic propagation on the shelf. Contrasts in
structure, directionality, net displacement, turbulent dissipation rates
and modulation of turbulent diffusivity for both strongly and weakly forced
SIW packets are further discussed in Stanton, 1998, and will be summarized
at the SIW workshop. Limitations of the existing data set and suggestions
for future SIW observations to better quantify and model SIW generation,
propagation, shoaling, and breaking will also be discussed.
References
Kropfli, R. A., L. A. Ostrovsky, T. P. Stanton, E.A. Skirta, A. N. Keane
and V. Irisov, 1998. Relationships Between Strong Internal Waves in the
Coastal Zone and their Radar Signatures. JGR, accepted.
Stanton, T. P. and L. A Ostrovsky, 1998. Observations of Highly Nonlinear
Internal Solitons Over the Continental Shelf. Geophys. Res. Lett.,
25, 14, 2695-2698.
Stanton, T. P., 1998. Upper Ocean Mixing by Highly Nonlinear Internal Solitons
Over the Continental Shelf. Submitted to JGR.