library

seawater.library.T68conv(T90)

Convert ITS-90 temperature to IPTS-68.

\(T68 = T90 * 1.00024\)

Parameters:
tarray_like

temperature [℃ (ITS-90)]

Returns:
tarray_like

temperature [℃ (IPTS-68)]

Notes

The International Practical Temperature Scale of 1968 (IPTS-68) need to be correct to the ITS-90. This linear transformation is accurate within 0.5 ℃ for conversion between IPTS-68 and ITS-90 over the oceanographic temperature range.

References

[1]

Saunders, P. M., 1991: The International Temperature Scale of 1990, ITS-90. WOCE Newsletter, No. 10, WOCE International Project Office, Southampton, United Kingdom, 10.

Examples

>>> import seawater as sw
>>> T68conv(19.995201151723585)
20.0
seawater.library.T90conv(t, t_type='T68')

Convert IPTS-68 or IPTS-48 to temperature to ITS-90.

T48 apply to all data collected prior to 31/12/1967. T68 apply to all data collected between 01/10/1968 and 31/12/1989.

\[ \begin{align}\begin{aligned}T90 = T68 / 1.00024\\T90 = T48 - (4.4e-6) * T48 * (100-T48) ) / 1.00024\end{aligned}\end{align} \]
Parameters:
tarray_like

temperature [℃ (IPTS-68) or (IPTS-48)]

t_typestring, optional

‘T68’ (default) or ‘T48’

Returns:
T90array_like

temperature [℃ (ITS-90)]

Notes

The International Practical Temperature Scale of 1968 (IPTS-68) need to be correct to the ITS-90. This linear transformation is accurate within 0.5 ℃ for conversion between IPTS-68 and ITS-90 over the oceanographic temperature range.

References

[1]

Saunders, P. M., 1991: The International Temperature Scale of 1990, ITS-90. WOCE Newsletter, No. 10, WOCE International Project Office, Southampton, United Kingdom, 10.

Examples

>>> T90conv(20.004799999999999)
20.0
>>> T90conv(20.0, t_type="T48")
19.98816284091818
seawater.library.cndr(s, t, p)

Calculates conductivity ratio.

Parameters:
s(p)array_like

salinity [psu (PSS-78)]

t(p)array_like

temperature [℃ (ITS-90)]

parray_like

pressure [db]

Returns:
cndrarray_like

conductivity ratio. R = C(s,t,p) / C(35,15(IPTS-68),0) [no units]

References

[1]

Fofonoff, P. and Millard, R.C. Jr UNESCO 1983. Algorithms for computation of fundamental properties of seawater. UNESCO Tech. Pap. in Mar. Sci., No. 44, 53 pp. Eqn.(31) p.39. https://unesdoc.unesco.org/ark:/48223/pf0000059832_eng

Examples

>>> # Data from UNESCO 1983 p9.
>>> import seawater as sw
>>> t = T90conv([0, 10, 0, 10, 10, 30])
>>> p = [0, 0, 1000, 1000, 0, 0]
>>> s = [25, 25, 25, 25, 40, 40]
>>> sw.cndr(s, t, p)
array([0.49800825, 0.65499015, 0.50624434, 0.66297496, 1.00007311,
       1.52996697])
seawater.library.salds(rtx, delt)

Calculates Salinity differential (\(\\frac{dS}{d(\\sqrt{Rt})}\)) at constant temperature.

Parameters:
rtxarray_like

\(\\sqrt{rt}\)

deltarray_like

t-15 [℃ (IPTS-68)]

Returns:
dsarray_like

\(\\frac{dS}{d rtx}\)

References

[1]

Fofonoff, P. and Millard, R.C. Jr UNESCO 1983. Algorithms for computation of fundamental properties of seawater. UNESCO Tech. Pap. in Mar. Sci., No. 44, 53 pp. Eqn.(31) p.39. https://unesdoc.unesco.org/ark:/48223/pf0000059832_eng

Examples

>>> # Data from UNESCO 1983 p9.
>>> import numpy as np
>>> import seawater as sw
>>> delt = T90conv([15, 20, 5]) - 15
>>> rtx = np.array([1, 1.0568875, 0.81705885]) ** 0.5
>>> sw.salds(rtx, delt)
array([78.31921607, 81.5689307 , 68.19023687])
seawater.library.salrp(r, t, p)

Equation for Rp used in calculating salinity. UNESCO 1983 polynomial.

\[\begin{split}Rp(S,T,P) = \\frac{C(S,T,P)}{C(S,T,0)}\end{split}\]
Parameters:
rarray_like

conductivity ratio \(R = \\frac{C(S,T,P)}{C(35,15(IPTS-68),0)}\)

tarray_like

temperature [℃ (ITS-90)]

parray_like

pressure [db]

Returns:
rparray_like

conductivity ratio \(Rp(S,T,P) = \\frac{C(S,T,P)}{C(S,T,0)}\)

References

[1]

Fofonoff, P. and Millard, R.C. Jr UNESCO 1983. Algorithms for computation of fundamental properties of seawater. UNESCO Tech. Pap. in Mar. Sci., No. 44, 53 pp. Eqn.(31) p.39. https://unesdoc.unesco.org/ark:/48223/pf0000059832_eng

Examples

>>> import seawater as sw
>>> r = [1, 1.2, 0.65]
>>> t = T90conv([15, 20, 5])
>>> p = [0, 2000, 1500]
>>> sw.salrp(r, t, p)
array([1.        , 1.01694294, 1.02048638])
seawater.library.salrt(t)

Equation for rt used in calculating salinity. UNESCO 1983 polynomial.

\[\begin{split}rt(t) = \\frac{C(35,t,0)}{C(35,15(\\textrm{IPTS-68}), 0)}\end{split}\]
Parameters:
tarray_like

temperature [℃ (ITS-90)]

Returns:
rtarray_like
conductivity ratio [no units]

References

[1]

Fofonoff, P. and Millard, R.C. Jr UNESCO 1983. Algorithms for computation of fundamental properties of seawater. UNESCO Tech. Pap. in Mar. Sci., No. 44, 53 pp. Eqn.(31) p.39. https://unesdoc.unesco.org/ark:/48223/pf0000059832_eng

Examples

>>> # Data from UNESCO 1983 p9.
>>> import seawater as sw
>>> t = T90conv([15, 20, 5])
>>> sw.salrt(t)
array([1.        , 1.11649272, 0.77956585])
seawater.library.sals(rt, t)

Salinity of sea water as a function of Rt and T. UNESCO 1983 polynomial.

Parameters:
rtarray_like

\(rt(s,t) = \\frac{C(s,t,0)}{C(35, t(\\textrm{IPTS-68}), 0)}\)

tarray_like

temperature [℃ (ITS-90)]

Returns:
sarray_like

salinity [psu (PSS-78)]

References

[1]

Fofonoff, P. and Millard, R.C. Jr UNESCO 1983. Algorithms for computation of fundamental properties of seawater. UNESCO Tech. Pap. in Mar. Sci., No. 44, 53 pp. Eqn.(31) p.39. https://unesdoc.unesco.org/ark:/48223/pf0000059832_eng

Examples

>>> # Data from UNESCO 1983 p9.
>>> import seawater as sw
>>> t = T90conv([15, 20, 5])
>>> rt = [1, 1.0568875, 0.81705885]
>>> sw.sals(rt, t)
array([35.        , 37.24562718, 27.99534701])
seawater.library.seck(s, t, p=0)

Secant Bulk Modulus (K) of Sea Water using Equation of state 1980. UNESCO polynomial implementation.

Parameters:
s(p)array_like

salinity [psu (PSS-78)]

t(p)array_like

temperature [℃ (ITS-90)]

parray_like

pressure [db].

Returns:
karray_like

secant bulk modulus [bars]

References

[1]

Fofonoff, P. and Millard, R.C. Jr UNESCO 1983. Algorithms for computation of fundamental properties of seawater. UNESCO Tech. Pap. in Mar. Sci., No. 44, 53 pp. Eqn.(31) p.39. https://unesdoc.unesco.org/ark:/48223/pf0000059832_eng

[2]

Millero, F.J. and Poisson, A. International one-atmosphere equation of state of seawater. Deep-Sea Res. 1981. Vol28A(6) pp625-629. doi:10.1016/0198-0149(81)90122-9

Examples

>>> # Data from Unesco Tech. Paper in Marine Sci. No. 44, p22.
>>> import seawater as sw
>>> s = [0, 0, 0, 0, 35, 35, 35, 35]
>>> t = T90conv([0, 0, 30, 30, 0, 0, 30, 30])
>>> p = [0, 10000, 0, 10000, 0, 10000, 0, 10000]
>>> sw.seck(s, t, p)
array([19652.21      , 22977.2115    , 22336.0044572 , 25656.8196222 ,
       21582.27006823, 24991.99729129, 23924.21823158, 27318.32472464])
seawater.library.smow(t)

Density of Standard Mean Ocean Water (Pure Water) using EOS 1980.

Parameters:
tarray_like

temperature [℃ (ITS-90)]

Returns:
dens(t)array_like

density [kg m 3]

References

[1]

Fofonoff, P. and Millard, R.C. Jr UNESCO 1983. Algorithms for computation of fundamental properties of seawater. UNESCO Tech. Pap. in Mar. Sci., No. 44, 53 pp. Eqn.(31) p.39. https://unesdoc.unesco.org/ark:/48223/pf0000059832_eng

[2]

Millero, F.J. and Poisson, A. International one-atmosphere equation of state of seawater. Deep-Sea Res. 1981. Vol28A(6) pp625-629. doi:10.1016/0198-0149(81)90122-9

Examples

>>> # Data from UNESCO Tech. Paper in Marine Sci. No. 44, p22.
>>> import seawater as sw
>>> t = T90conv([0, 0, 30, 30, 0, 0, 30, 30])
>>> sw.smow(t)
array([999.842594  , 999.842594  , 995.65113374, 995.65113374,
       999.842594  , 999.842594  , 995.65113374, 995.65113374])