# gsw_melting_ice_equilibrium_SA_CT_ratio

    ratio of SA to CT changes when ice melts into a large
    mass of seawater, with both the seawater and ice
    temperatures being almost equal to the equilibrium freezing
    temperature

## Contents

- USAGE:
- DESCRIPTION:
- INPUT:
- OUTPUT:
- EXAMPLE:
- AUTHOR:
- VERSION NUMBER:
- REFERENCES:

## USAGE:

    melting_ice_equilibrium_SA_CT_ratio = gsw_melting_ice_equilibrium_SA_CT_ratio(SA,p)

## DESCRIPTION:

    Calculates the ratio of SA to CT changes when ice melts into
    seawater with both the seawater and the ice temperatures being almost
    equal to the equilibrium freezing temperature.  It is assumed that a
    small mass of ice melts into an infinite mass of seawater.  If indeed
    the temperature of the seawater and the ice were both equal to the
    freezing temperature, then no melting or freezing would occur; an
    imbalance between these three temperatures is needed for freezing or
    melting to occur (the three temperatures being (1) the seawater
    temperature, (2) the ice temperature, and (3) the freezing
    temperature.

    The output, melting_ice_equilibrium_SA_CT_ratio, is dSA/dCT rather than
    dCT/dSA.  This is done so that when SA = 0, the output, dSA/dCT is zero
    whereas dCT/dSA would be infinite.

## INPUT:

    SA  =  Absolute Salinity of seawater                            [ g/kg ]
    p  =  sea pressure                                              [ dbar ]
              ( i.e. absolute pressure - 10.1325 dbar )]

    p may have dimensions 1x1 or Mx1 or 1xN or MxN, where SA is MxN.

## OUTPUT:

    melting_ice_equilibrium_SA_CT_ratio = the ratio dSA/dCT of SA to CT
                               changes when ice melts into seawater, with
                               the seawater and seaice being close to the
                               freezing temperature.            [ g/(kg K) ]

## EXAMPLE:

    SA = [34.7118; 34.8915; 35.0256; 34.8472; 34.7366; 34.7324;]
    p =  [     10;      50;     125;     250;     600;    1000;]

    melting_ice_equilibrium_SA_CT_ratio = gsw_melting_ice_equilibrium_SA_CT_ratio(SA,p)

    melting_ice_equilibrium_SA_CT_ratio =

       0.420209509196985
       0.422511693121631
       0.424345503216433
       0.422475836091426
       0.422023427778221
       0.423037622331042

## AUTHOR:

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

## VERSION NUMBER:

    3.05 (16th February, 2015)

## 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., P.M. Barker, R. Feistel and B.K. Galton-Fenzi, 2014:
     Melting of Ice and Sea Ice into Seawater and Frazil Ice Formation.
     Journal of Physical Oceanography, 44, 1751-1775.

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