O2 - compensated for pressure and salinity

Let us consider the RBRconcerto³ C.T.D.ODO, where the ODO channel is an integrated RBRcoda³ T.ODO. The RBRcoda³ T.ODO transfers both the foil temperature and the dissolved oxygen concentration (not compensated for salinity). The RBRconcerto³ calculates the concentration compensated for salinity and pressure first:

$//<![CDATA[ \begin{array}{l}O2corr = (C_0 + C_1 \cdot O2unc) \cdot exp(S \cdot (Gb_0 + Gb_1 \cdot Ts + Gb_2 \cdot Ts^2 + Gb_3 \cdot Ts^3) + Gc_0 \cdot S^2) \cdot (1 + P \cdot C_2)\end{array} //]]>$

where 

• O2corr is the corrected O2 concentration, compensated for salinity and pressure,
• O2unc is the uncompensated O2 concentration returned by the RBRcoda³ T.ODO,
• C₀ and C₁ are corrections and scaling factors for the uncompensated O2 concentration,
• C₂ is a correction factor for pressure,
• S is the salinity in PSU,
• P is atmospheric pressure in dbar,

and $//<![CDATA[ \begin{array}{l}Ts = ln(\dfrac{298.15 - T}{273.15 + T})\end{array} //]]>$ where T is the water temperature (in °C), and

$//<![CDATA[ \begin{array}{l}\begin{equation*} \begin{aligned} Gb_0 & = -6.24097e-3 \\ Gb_1 & = -6.93498e-3 \\ Gb_2 & = -6.90358e-3 \\ Gb_3 & = -4.29155e-3 \\ Gc_0 & = -3.11680e-7 \end{aligned} \end{equation*}\end{array} //]]>$

which correspond to Garcia and Gordon coefficients.