Depth to pressure conversion. Bisset-Berman equation
Mathematical definition
$$\boxed{Z\left( {P,\phi } \right) = \frac{{9.7512P}}{{1 + 5.3 \times {{10}^{ - 3}}{{\sin }^2}\left( \phi \right)}} - 2.07 \times {10^{ - 4}}{P^2}}$$
| Notation | Description | Units | Limits | Conversion |
|---|---|---|---|---|
| $Z$ | Depth | $\text{m}$ | ||
| $P$ | Pressure | $\text{kPa}$ | $P\left[ {{\rm{kgf/c}}{{\rm{m}}^2}} \right] = P\left[ {{\rm{kPa}}} \right] \times 0.102 \times {10^1}$ | |
| $\phi$ | Latitude | $\text{deg.}$ | $-90\ < \phi < 90$ |
Octave/Matlab implementation
function D = pressure_to_depth_sea_bisset(P,L)
% Inputs
% P: pressure \ kPa
% L: latitude \ degree \ -90 < L < 90
% Outputs
% D: depth \ m
P = P.*0.0102;
D = 9.7512*P./(1+(5.3e-3)*sind(L).^2) - (2.07e-4)*P.^2;
end
Computational examples
References
- Leroy, Claude C; Parthiot, François, "Depth-pressure relationships in the oceans and seas", 1998
- "Instruction manual for salinity/temperature/depth/sound velocity measuring systems models 9040", 1971