Ch. Gibson et al., MEASUREMENTS OF TURBULENCE AND FOSSIL TURBULENCE NEAR AMPERE SEAMOUNT, Dynamics of atmospheres and oceans, 19(1-4), 1993, pp. 175-204
Measurements of temperature and velocity microstructure near and downs
tream of a shallow seamount are used to compare fossil turbulence vers
us non-fossil turbulence models for the evolution of turbulence micros
tructure patches in the stratified ocean. According to non-fossil ocea
nic turbulence models, all overturn length scales L(T) of the microstr
ucture grow and collapse in constant proportion to each other and to t
he turbulence energy (Oboukov) scale L(O) and the inertial buoyancy (O
zmidov) scale L(R) drop(is an element of/N-3)(1/2) of the patches; tha
t is, with L(Tms) approximate to,1.2L(R), and viscous dissipation rate
is an element of approximate to is an element of(0). According to th
e Gibson fossil turbulence model, all microstructure originates from c
ompletely active turbulence with is an element of greater than or equa
l to is an element of(0) approximate to 3L(T)(2)N(3)( 28 is an element
of(0)) and L(T)/ root 6 approximate to L(Tms), but this rapidly deca
ys into a more persistent active-fossil state with is an element of(0)
greater than or equal to is an element of greater than or equal to(F)
approximate to 30vN(2), where N is the buoyancy frequency and v is th
e kinematic viscosity and, without further energy supply, finally reac
hes a completely fossil turbulence hydrodynamic state of internal wave
motions, with is an element of less than or equal to is an element of
(F). The last turbulence eddies, with is an element of approximate to
is an element of(F), vanish at a buoyant-inertial-viscous (fossil Kolm
ogorov) scale L(KF) that is much smaller than the remnant overturn sca
les L(T), for large is an element of(O)/is an element of(F) ratios. Th
ese density, temperature, and salinity overturns with L(T) approximate
to 0.6L(R0) >> 0.6L(R) persist as turbulence fossils (by retaining th
e memory of E,) and collapse very slowly. In the near wake below the s
ummit depth of Ampere seamount, a much larger proportion of completely
active turbulence patches was found than is usually found in the ocea
n interior away from sources. Dissipation rates is an element of and t
urbulence activity coefficients A(T) drop(is an element of/is an eleme
nt of(0))(1/2) of microstructure patches were found to decrease downst
ream, suggesting that the active turbulence indicated by the patches w
ith A(T) greater than or equal to l was caused by the presence of the
seamount as a turbulence source. Therefore, the turbulence and mixing
processes of ocean layers far away from turbulence sources probably ha
ve been undersampled by microstructure data sets lacking any A(T) grea
ter than or equal to 1 patches. This is because large fractions of the
mixing and viscous dissipation of the patches occur in short-lived ac
tive turbulence regimes that are too brief to be detected. Consequentl
y, large underestimates of the true space-time average turbulence flux
es and turbulence and scalar dissipation rates may result if non-fossi
l turbulence models are assumed in ocean microstructure data interpret
ation.