Vertical multiple-layer structure of temperature and turbulent diffusivity in the South China Sea
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Abstract: We report field measurements of vertical profiles of the turbulent diffusivity and temperature at different stations in the South China Sea (SCS). Our study shows that the measured turbulent diffusivity follows a power-law distribution with a varying exponent in water layers. Similar multiple-layer scaling regimes were also observed from the temperature fluctuations. Combining turbulent diffusivity and temperature fluctuations, the vertical structure of temperature was revealed. Furthermore, we discussed the temperature profiles in each layer. A constant function of a dimensionless temperature profile was found in water layers that have identical turbulence conditions. Our results reveal the multiple-layer structure of temperature in the SCS. This study contributes to the understanding of the vertical structure of multiple layers in the SCS and provides clues for exploring the physical mechanism for maintaining the temperature structure.
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Key words:
- temperature profile /
- turbulent diffusivity /
- South China Sea /
- multiple layers
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Figure 1. Sketch of the measurement locations of local temperature and velocity shear in the SCS: Stas s1–s8 denote the locations of temperature data from CTD measurements along the section of 18°N; Stas q1–q5 are for the CTD data in the SCS central basin; Sta. kj1 is for the CTD data at the slope of the northern SCS; Stas c1–c9 are for the velocity shear data from VMP-X measurements with
$ z $ up to 3900 m. Asterisks denote velocity shear data from TurboMAP measurements where$ z < 500\;\mathrm{m} $ . Gray lines denote isobaths in meters.Figure 3. Measured
$ {\kappa }_{\rho } \left(z\right) $ from 44 stations in the upper ocean (a) and direct kernel smoothing probability density distribution of the measured$ {\kappa }_{\rho } \left(z\right) $ in a for different values of$ z $ (b). The solid curve in a is the algebraic average value of$ {\kappa }_{\rho } $ .Figure 4. Statistics of diffusivity in 10 segmentations of measured ranges at 69 m (a), 209 m (b), 349 m (c) and 489 m (d), and statistics density of diffusivity in 100 segmentations of measured ranges at all depths (e). The black solid curve in e shows the generalized extreme value (GEV) probability density function (PDF).
Figure 5. Generalized extreme value probability density distribution with
$ z $ (a) and the algebraic average values and weighted average value$ \left\langle{{\kappa }_{\rho }\left(z\right)}\right\rangle $ with$ z $ (b). The red dotted curve is the fitting curve of the weighted average value for 80 m<z<500 m.Figure 6. The profiles of
$ {\kappa }_{\rho } $ and the$ n $ values of the power-law fit for 1 000 m<z<3 000 m from Stas c1–c9 (a) and the weighted average and algebraic average values of$ {\kappa }_{\rho } $ in a (b). The red dotted curves are the power-law fitting curves. n1 and n2 are the$ n $ values of the power-law$ \left\langle{{\kappa }_{\rho }\left(z\right)}\right\rangle\sim {z}^{n} $ from the weighted average$ {\kappa }_{\rho } $ profile for$ 500\;\mathrm{m} < z < 1\;000\;\mathrm{m} $ and$ 1\;000\;\mathrm{m} < z < 3\;000\;\mathrm{m} $ , respectively.Figure 7. Measured temperature root-mean-square profile
$\eta \left(z\right)$ in the section of 18°N (a), the central basin of the SCS (b) and the slope of the northern SCS (c). The red dotted curves are the power-law fitting curves. The inset in b shows an expanded view of the profile for$z > 1\;200$ m. p1, p2, p3 and p4 are the$ p $ values of the power-law$\eta \left(z\right) \sim {z}^{p}$ in the upper layer, transition layer, middle layer, and deep layer, respectively.Figure 8. Measured temperature profiles (grey curves), averaged temperature profile (black curve), and fitting temperature profile of the transition layer (red dotted line) in the section of 18°N (a), the central basin in the SCS (b), and the slope of the northern SCS (c), respectively. The blue dotted line is the linear fitting temperature profile of the transition layer in slope.
Table 1. Depth ranges of water layers
Area or source ZS of water layer/m UL TL ML DL Section of 18°N 80−600 600−780 780 to NAN NAN Central basin
in the SCS65−470 470−850 850−1730 1730 to NAN Slope of the
northern SCS80−580 580−1270 1270 to NAN NAN $ \left\langle{{\mathit{\kappa }}_{\mathit{\rho }}\left(\mathit{z}\right)}\right\rangle $ 80−500 500−1000 1000 to NAN NAN Model
(Gan et al., 2016)0−750 NAN 750−1500 1500 to NAN Note: NAN means no data. UL: upper layer, TL: transition layer, ML: middle layer, and DL: deep layer. Table 2. Adjusted parameters for each layer
Region Water layer Parameter $ \Delta \mathit{T} $/°C $ {\mathit{L}}_{\mathit{\lambda }} $/m Section of 18°N UL 26.9 330 ML 4.4 618 Central basin in the SCS UL 27.8 234 ML 3.8 541 Slope of the northern SCS DL 0.5 645 UL 29.8 175 ML 0.9 394 -
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