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# Copyright (C) 2008 Jean-Pierre Gattuso and Jean-Marie Epitalon and Heloise Lavigne and Aurelien Proye
#
# This file is part of seacarb.
#
# Seacarb is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or any later version.
#
# Seacarb is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License along with seacarb; if not, write to the Free Software Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#
#
"Kb" <-
function(S=35,T=25,P=0,pHscale="T",kSWS2scale="x",ktotal2SWS_P0="x",warn="y"){
nK <- max(length(S), length(T), length(P), length(pHscale), length(kSWS2scale) ,length(ktotal2SWS_P0))
##-------- Create vectors for all input (if vectorial)
if(length(S)!=nK){S <- rep(S[1], nK)}
if(length(T)!=nK){T <- rep(T[1], nK)}
if(length(P)!=nK){P <- rep(P[1], nK)}
if(length(pHscale)!=nK){pHscale <- rep(pHscale[1], nK)}
#-------Constants----------------
#---- issues of equic----
tk <- 273.15; # [K] (for conversion [deg C] <-> [K])
TK <- T + tk; # T [C]; TK [K]
#---------------------------------------------------------------------
# --------------------- Kb --------------------------------------------
# Kbor = [H+][B(OH)4-]/[B(OH)3]
#
# (Dickson, 1990 in Guide to Best Practices in Ocean CO2 Measurements 2007)
# pH-scale: 'total'. mol/kg-soln
tmp1 = (-8966.90-2890.53*sqrt(S)-77.942*S+1.728*S^(3/2)-0.0996*S*S);
tmp2 = +148.0248+137.1942*sqrt(S)+1.62142*S;
tmp3 = +(-24.4344-25.085*sqrt(S)-0.2474*S)*log(TK);
lnKb = tmp1 / TK + tmp2 + tmp3 + 0.053105*sqrt(S)*TK;
Kb <- exp(lnKb)
## ---- Conversion from Total scale to seawater scale before pressure corrections
# if correction factor (from Total scale to seawater at P=0) not given
if (missing(ktotal2SWS_P0) || ktotal2SWS_P0[1] == "x")
{
# Compute it
ktotal2SWS_P0 <- kconv(S=S, T=T, P=0)$ktotal2SWS
}
else
# Check its length
if(length(ktotal2SWS_P0)!=nK) ktotal2SWS_P0 <- rep(ktotal2SWS_P0[1], nK)
Kb <- Kb * ktotal2SWS_P0
# -------------------Correct for Pressure effect, if needed ---------------------------
if (any (P != 0))
Kb <- Pcorrect(Kvalue=Kb, Ktype="Kb", T=T, S=S, P=P, pHscale="SWS", 1., 1., warn=warn)
###----------------pH scale corrections
# Which pH scales are required ?
is_total <- pHscale=="T"
is_free <- pHscale=="F"
# if any pH scale correction required (from SWS scale)
if (any(is_total) || any(is_free))
{
# if pH scale correction factor not given
if (missing(kSWS2scale) || kSWS2scale[1] == "x")
{
# Compute it
kSWS2scale <- rep(1.0,nK)
if (any(is_total)) {kSWS2scale[is_total] <- kconv(S=S[is_total], T=T[is_total], P=P[is_total])$kSWS2total}
if (any(is_free)) {kSWS2scale[is_free] <- kconv(S=S[is_free], T=T[is_free], P=P[is_free])$kSWS2free}
}
else
# Check its length
if(length(kSWS2scale)!=nK){kSWS2scale <- rep(kSWS2scale[1], nK)}
# Apply pH scale correction
Kb <- Kb*kSWS2scale
}
# Return full name of pH scale
pHsc <- rep(NA,nK)
pHsc[is_total] <- "total scale"
pHsc[is_free] <- "free scale"
pHsc[!is_total & !is_free] <- "seawater scale"
##------------Warnings
is_w <- warn == "y"
if (any (is_w & (T>45 | S>45 | T<0 | S<5)) ) {warning("S and/or T is outside the range of validity of the formulation available for Kb in seacarb.")}
attr(Kb,"unit") = "mol/kg-soln"
attr(Kb,"pH scale") = pHsc
return(Kb)
}
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