Gouretski et. all MBT Bias Depth and Temperature Corrections
Gouretski, V. and F. Reseghetti, 2010: On depth and temperature biases in bathythermograph data: Development of a new correction scheme based on analysis of a global ocean database.

Depth correction

Below 40 meters:

S = 1 + b + a/Z_original, where S is the stretching , Z_original is the observed depth.

Above 40 meters:

S = c + (Z_original - 5) * (d - c)/35, where d = 1 + b + a/40

The values of a, b and c for the years 1941 to 2003 are provided in table 1.

The corrected depth, Z_corrected = Z_original * S

Temperature bias correction

T_corrected = T_original - Thermal bias

Thermal bias for MBT for the years 1941 to 2003 are presented in table 2.