gsw_thermobaric

thermobaric coefficient (75-term equation)

Contents

USAGE:

thermobaric = gsw_thermobaric(SA,CT,p)

DESCRIPTION:

Calculates the thermobaric coefficient of seawater with respect to
Conservative Temperature. This routine calculates rho from the
computationally-efficient 75-term expression for specific volume in terms
of SA, CT and p (Roquet et al., 2015).
Note that the 75-term equation has been fitted in a restricted range of 
parameter space, and is most accurate inside the "oceanographic funnel" 
described in McDougall et al. (2003).  The GSW library function 
"gsw_infunnel(SA,CT,p)" is avaialble to be used if one wants to test if 
some of one's data lies outside this "funnel".
TEOS-10 
Click for a more detailed description of the thermobaric
coefficient.

INPUT:

SA  =  Absolute Salinity                                        [ g/kg ]
CT  =  Conservative Temperature                                [ deg C ]
p   =  sea pressure                                             [ dbar ]
       ( i.e. absolute pressure - 10.1325 dbar )
SA & CT need to have the same dimensions.
p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA & CT are MxN.

OUTPUT:

thermobaric  =  thermobaric coefficient with respect
                to Conservative Temperature.               [ 1/(K Pa) ]
Note. The pressure derivative is taken with respect to
  pressure in Pa not dbar.

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 =  [     10;      50;     125;     250;     600;    1000;]
thermobaric = gsw_thermobaric(SA,CT,p)
thermobaric =
 1.0e-011 *
   0.141342632944971
   0.142352284525832
   0.163216280125501
   0.226030772122855
   0.246185239871747
   0.261474794884197

AUTHOR:

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

VERSION NUMBER:

3.06.16 (28th September, 2022)

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.
  See Eqns. (3.8.2) and (P.2) of this TEOS-10 manual.
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