## Contents

## USAGE:

specvol_diff_CT_exact = gsw_specvol_diff_CT_exact(SA,CT,p_shallow,p_deep)

## DESCRIPTION:

Calculates the difference of the specific volume of seawater between
two different pressures, p_deep (the deeper pressure) and p_shallow
(the shallower pressure), at the same values of SA and CT.

Note that this function uses the full Gibbs function. There is an
alternative to calling this function, namely gsw_specvol_diff(SA,CT,p),
which uses the computationally efficient 75-term expression for specific
volume in terms of SA, CT and p (Roquet et al., 2015).

## INPUT:

SA = Absolute Salinity [ g/kg ]
CT = Conservative Temperature [ deg C ]
p_shallow = upper sea pressure [ dbar ]
( i.e. shallower absolute pressure - 10.1325 dbar )
p_deep = lower sea pressure [ dbar ]
( i.e. deeper absolute pressure - 10.1325 dbar )

SA & CT need to have the same dimensions.
p_shallow and p_deep may have dimensions 1x1 or Mx1 or 1xN or MxN, where
SA and CT are MxN.

## OUTPUT:

specvol_diff_CT_exact = difference of specific volume [ m^3/kg ]
(deep minus shallow)

## EXAMPLE:

SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
CT = [28.8099; 28.4392; 22.7862; 10.2262; 6.8272; 4.3236;]
p_shallow = [ 10; 50; 125; 250; 600; 1000;]
p_deep = [ 60; 110; 200; 450; 900; 1400;]

specvol_diff_CT_exact = gsw_specvol_diff_CT_exact(SA,CT,p_shallow,p_deep)

specvol_diff_CT_exact =

1.0e-05 *

-0.020107602582064
-0.024102805339403
-0.030460724316094
-0.084514498811881
-0.127264493178373
-0.169490411738502

## AUTHOR:

Trevor McDougall and Paul Barker [ help@teos-10.org ]

## VERSION NUMBER:

3.06.13 (30th July, 2021)

## REFERENCES:

IOC, SCOR and IAPSO, 2010: The international thermodynamic equation of
seawater - 2010: Calculation and use of thermodynamic properties.
Intergovernmental Oceanographic Commission, Manuals and Guides No. 56,
UNESCO (English), 196 pp. Available from the TEOS-10 web site.

McDougall, T.J., D.R. Jackett, D.G. Wright and R. Feistel, 2003:
Accurate and computationally efficient algorithms for potential
temperature and density of seawater. *J. Atmosph. Ocean. Tech.*, **20**,
pp. 730-741.

Roquet, F., G. Madec, T.J. McDougall and P.M. Barker, 2015: Accurate
polynomial expressions for the density and specific volume of seawater
using the TEOS-10 standard. *Ocean Modelling*, **90**, pp. 29-43.
http://dx.doi.org/10.1016/j.ocemod.2015.04.002

The software is available from http://www.TEOS-10.org