[341] | 1 | |
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[719] | 2 | CCC $Header$ |
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[341] | 3 | CCC TOP 1.0 , LOCEAN-IPSL (2005) |
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| 4 | C This software is governed by CeCILL licence see modipsl/doc/NEMO_CeCILL.txt |
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| 5 | C --------------------------------------------------------------------------- |
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[186] | 6 | CDIR$ LIST |
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| 7 | SUBROUTINE p4zche |
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| 8 | #if defined key_passivetrc && defined key_trc_pisces |
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| 9 | CCC--------------------------------------------------------------------- |
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| 10 | CCC |
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| 11 | CCC ROUTINE p4zche : PISCES MODEL |
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| 12 | CCC ***************************** |
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| 13 | CCC |
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| 14 | CCC PURPOSE. |
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| 15 | CCC -------- |
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[617] | 16 | CCC *P4ZCHE* : Sea water chemistry computed following OCMIP protocol |
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[186] | 17 | CCC |
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| 18 | CCC |
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| 19 | CC EXTERNALS. |
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| 20 | CC ---------- |
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| 21 | CC rhop |
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| 22 | CC |
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| 23 | CC MODIFICATIONS: |
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| 24 | CC -------------- |
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| 25 | CC original : 1988 E. Maier-Reimer |
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| 26 | CC additions : 1998 O. Aumont |
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| 27 | CC modifications : 1999 C. Le Quere |
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| 28 | CC modifications : 2004 O. Aumont |
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[617] | 29 | CC modifications : 2006 R. Gangsto |
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[186] | 30 | CC---------------------------------------------------------------------- |
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| 31 | CC parameters and commons |
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| 32 | CC ====================== |
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[339] | 33 | CDIR$ nolist |
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[186] | 34 | USE oce_trc |
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| 35 | USE trp_trc |
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| 36 | USE sms |
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| 37 | IMPLICIT NONE |
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[339] | 38 | #include "domzgr_substitute.h90" |
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[186] | 39 | CDIR$ list |
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| 40 | CC---------------------------------------------------------------------- |
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| 41 | CC local declarations |
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| 42 | CC ================== |
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| 43 | C |
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| 44 | INTEGER ji, jj, jk |
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[339] | 45 | REAL tkel, sal, qtt, zbuf1, zbuf2 |
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| 46 | REAL pres, tc, cl, cpexp, cek0, oxy, cpexp2 |
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| 47 | REAL zsqrt, ztr, zlogt, cek1 |
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[617] | 48 | REAL zqtt, qtt2, sal15, zis, zis2, zisqrt |
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[339] | 49 | REAL ckb, ck1, ck2, ckw, ak1, ak2, akb, aksp0, akw |
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[617] | 50 | REAL ckp1, ckp2, ckp3, cksi, akp1, akp2, akp3, aksi |
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| 51 | REAL st, ft, cks, ckf, aks, akf, aksp1 |
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| 52 | |
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[186] | 53 | C |
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| 54 | C* 1. CHEMICAL CONSTANTS - SURFACE LAYER |
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| 55 | C --------------------------------------- |
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| 56 | C |
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| 57 | DO jj = 1,jpj |
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| 58 | DO ji = 1,jpi |
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| 59 | C |
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| 60 | C* 1.1 SET ABSOLUTE TEMPERATURE |
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| 61 | C ------------------------------ |
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| 62 | C |
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[339] | 63 | tkel = tn(ji,jj,1)+273.16 |
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[186] | 64 | qtt = tkel*0.01 |
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| 65 | qtt2=qtt*qtt |
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| 66 | sal = sn(ji,jj,1) + (1.-tmask(ji,jj,1))*35. |
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| 67 | zqtt=log(qtt) |
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| 68 | C |
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[339] | 69 | C* 1.2 LN(K0) OF SOLUBILITY OF CO2 (EQ. 12, WEISS, 1980) |
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| 70 | C AND FOR THE ATMOSPHERE FOR NON IDEAL GAS |
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[186] | 71 | C ------------------------------------------------------- |
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| 72 | C |
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| 73 | cek0 = c00+c01/qtt+c02*zqtt+sal*(c03+c04*qtt+c05*qtt2) |
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[339] | 74 | cek1 = ca0+ca1/qtt+ca2*zqtt+ca3*qtt2+sal*(ca4 |
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| 75 | & +ca5*qtt+ca6*qtt2) |
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[186] | 76 | C |
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| 77 | C* 1.3 LN(K0) OF SOLUBILITY OF O2 and N2 (EQ. 4, WEISS, 1970) |
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| 78 | C ------------------------------------------------------------ |
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| 79 | C |
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| 80 | oxy = ox0+ox1/qtt+ox2*zqtt+sal*(ox3+ox4*qtt+ox5*qtt2) |
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| 81 | C |
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[339] | 82 | C* 1.4 SET SOLUBILITIES OF O2 AND CO2 |
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| 83 | C ----------------------------------- |
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[186] | 84 | C |
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[339] | 85 | chemc(ji,jj,1) = exp(cek0)*1.E-6*rhop(ji,jj,1)/1000. |
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| 86 | chemc(ji,jj,2) = exp(oxy)*oxyco |
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| 87 | chemc(ji,jj,3) = exp(cek1)*1.E-6*rhop(ji,jj,1)/1000. |
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[186] | 88 | C |
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| 89 | ENDDO |
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| 90 | END DO |
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| 91 | C |
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| 92 | C* 2 CHEMICAL CONSTANTS - DEEP OCEAN |
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| 93 | C ------------------------------------- |
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| 94 | C |
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| 95 | DO jk = 1,jpk |
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[339] | 96 | DO jj = 1,jpj |
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[186] | 97 | DO ji = 1,jpi |
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| 98 | C |
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[339] | 99 | C* 2.1 SET PRESSION |
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| 100 | C ----------------- |
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[186] | 101 | C |
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| 102 | pres = 1.025e-1*fsdept(ji,jj,jk) |
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| 103 | C |
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[339] | 104 | C* 2.2 SET ABSOLUTE TEMPERATURE |
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[186] | 105 | C ------------------------------ |
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| 106 | C |
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[339] | 107 | tkel = tn(ji,jj,jk)+273.16 |
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[186] | 108 | qtt = tkel*0.01 |
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| 109 | sal = sn(ji,jj,jk) + (1.-tmask(ji,jj,jk))*35. |
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| 110 | zsqrt = sqrt(sal) |
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| 111 | sal15 = zsqrt*sal |
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| 112 | zlogt = log(tkel) |
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| 113 | ztr = 1./tkel |
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[339] | 114 | zis = 19.924*sal/(1000.-1.005*sal) |
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| 115 | zis2 = zis*zis |
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[617] | 116 | zisqrt = sqrt(zis) |
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[339] | 117 | tc = tn(ji,jj,jk) + (1.-tmask(ji,jj,jk))*20. |
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[186] | 118 | C |
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[339] | 119 | C* 2.3 CHLORINITY (WOOSTER ET AL., 1969) |
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[186] | 120 | C --------------------------------------- |
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| 121 | C |
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| 122 | cl = sal*salchl |
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| 123 | C |
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[617] | 124 | C* 2.4 TOTAL SULFATE CONCENTR. [MOLES/kg soln] |
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| 125 | C -------------------------------------------- |
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| 126 | C |
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| 127 | st = st1*cl*st2 |
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| 128 | C |
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| 129 | C* 2.5 TOTAL FLUORIDE CONCENTR. [MOLES/kg soln] |
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| 130 | C --------------------------------------------- |
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| 131 | C |
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| 132 | ft = ft1*cl*ft2 |
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| 133 | C |
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| 134 | C* 2.6 DISSOCIATION CONSTANT FOR SULFATES |
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| 135 | C on free H scale (Dickson 1990) |
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| 136 | C ------------------------------------------------------- |
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| 137 | C |
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| 138 | cks=exp(ks1*ztr+ks0+ks2*zlogt+(ks3*ztr+ks4+ks5*zlogt) |
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| 139 | & *zisqrt+(ks6*ztr+ks7+ks8*zlogt)*zis+ks9*ztr*zis |
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| 140 | & *zisqrt+ks10*ztr*zis2+log(ks11+ks12*sal)) |
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| 141 | C |
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| 142 | C* 2.7 DISSOCIATION CONSTANT FOR FLUORIDES |
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| 143 | C on free H scale (Dickson and Riley 79) |
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| 144 | C ------------------------------------------------------- |
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| 145 | C |
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| 146 | ckf=exp(kf1*ztr+kf0+kf2*zisqrt+log(kf3+kf4*sal)) |
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| 147 | |
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| 148 | C |
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[339] | 149 | C* 2.4 DISSOCIATION CONSTANT FOR CARBONATE AND BORATE |
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[186] | 150 | C ------------------------------------------------------- |
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| 151 | C |
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| 152 | ckb = (cb0+cb1*zsqrt+cb2*sal+cb3*sal15+cb4*sal*sal)*ztr |
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[339] | 153 | & +(cb5+cb6*zsqrt+cb7*sal)+ |
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| 154 | & (cb8+cb9*zsqrt+cb10*sal)*zlogt+cb11*zsqrt*tkel |
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[617] | 155 | & +log((1.+st/cks+ft/ckf)/(1.+st/cks)) |
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[339] | 156 | ck1 = c10*ztr+c11+c12*zlogt+c13*sal+c14*sal**2 |
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| 157 | ck2 = c20*ztr+c21+c22*sal+c23*sal**2 |
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[186] | 158 | C |
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[339] | 159 | C* 2.5 PKW (H2O) (DICKSON AND RILEY, 1979) |
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[186] | 160 | C ----------------------------------------- |
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| 161 | C |
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| 162 | ckw = cw0*ztr+cw1+cw2*zlogt+(cw3*ztr+cw4+cw5*zlogt)* |
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[339] | 163 | & zsqrt+cw6*sal |
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[617] | 164 | |
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[186] | 165 | C |
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[617] | 166 | C |
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| 167 | C* 2.10 DISSOCIATION CONSTANT FOR PHOSPHATE AND SILICATE (seawater scale) |
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| 168 | C --------------------------------------------------------------------- |
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| 169 | C |
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| 170 | ckp1 = cp10+cp11*ztr+cp12*zlogt+zsqrt*(cp13*ztr |
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| 171 | & +cp14)+sal*(cp15*ztr+cp16) |
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| 172 | ckp2 = cp20+cp21*ztr+cp22*zlogt+zsqrt*(cp23*ztr |
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| 173 | & +cp24)+sal*(cp25*ztr+cp26) |
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| 174 | ckp3 = cp30+cp31*ztr+zsqrt*(cp32*ztr |
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| 175 | & +cp33)+sal*(cp34*ztr+cp35) |
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| 176 | cksi = cs10+cs11*ztr+cs12*zlogt+zisqrt*(cs13*ztr |
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| 177 | & +cs14)+zis*(cs15*ztr+cs16)+zis2*(cs17*ztr |
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| 178 | & +cs18)+log(1.+cs19*sal) |
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| 179 | & +log(cs20+cs21*sal) |
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| 180 | |
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| 181 | C |
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[649] | 182 | C*2.7 APPARENT SOLUBILITY PRODUCT K'SP OF CALCITE IN SEAWATER |
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| 183 | C (S=27-43, T=2-25 DEG C) AT pres =0 (ATMOSPH. PRESSURE) |
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| 184 | C (MUCCI 1983) |
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| 185 | C ------------------------------------------------------------- |
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| 186 | C |
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| 187 | aksp0 = akcc1+akcc2*tkel+akcc3*ztr+akcc4*log10(tkel)+ |
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| 188 | & (akcc5+akcc6*tkel+ |
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| 189 | & akcc7*ztr)*zsqrt+akcc8*sal+akcc9*sal15 |
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| 190 | |
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| 191 | |
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| 192 | C |
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[339] | 193 | C* 2.6 K1, K2 OF CARBONIC ACID, KB OF BORIC ACID, KW (H2O) (LIT.?) |
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[186] | 194 | C ----------------------------------------------------------------- |
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| 195 | C |
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[617] | 196 | ak1 = 10**(ck1) |
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| 197 | ak2 = 10**(ck2) |
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| 198 | akb = exp(ckb) |
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| 199 | akp1 = exp(ckp1) |
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| 200 | akp2 = exp(ckp2) |
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| 201 | akp3 = exp(ckp3) |
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| 202 | aksi = exp(cksi) |
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| 203 | akw = exp(ckw) |
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| 204 | aksp1 = 10**(aksp0) |
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| 205 | aks = exp(cks) |
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| 206 | akf = exp(ckf) |
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| 207 | |
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| 208 | |
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[186] | 209 | C |
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[339] | 210 | C* 2.8 FORMULA FOR CPEXP AFTER EDMOND AND GIESKES (1970) |
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[186] | 211 | C (REFERENCE TO CULBERSON AND PYTKOQICZ (1968) AS MADE |
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| 212 | C IN BROECKER ET AL. (1982) IS INCORRECT; HERE RGAS IS |
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| 213 | C TAKEN TENFOLD TO CORRECT FOR THE NOTATION OF pres IN |
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| 214 | C DBAR INSTEAD OF BAR AND THE EXPRESSION FOR CPEXP IS |
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| 215 | C MULTIPLIED BY LN(10.) TO ALLOW USE OF EXP-FUNCTION |
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| 216 | C WITH BASIS E IN THE FORMULA FOR AKSPP (CF. EDMOND |
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| 217 | C AND GIESKES (1970), P. 1285 AND P. 1286 (THE SMALL |
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| 218 | C FORMULA ON P. 1286 IS RIGHT AND CONSISTENT WITH THE |
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| 219 | C SIGN IN PARTIAL MOLAR VOLUME CHANGE AS SHOWN ON |
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| 220 | C P. 1285)) |
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| 221 | C ----------------------------------------------------------- |
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| 222 | C |
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| 223 | cpexp = pres /(rgas*tkel) |
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[339] | 224 | cpexp2 = pres * pres/(rgas*tkel) |
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[186] | 225 | C |
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[339] | 226 | C* 2.9 KB OF BORIC ACID, K1,K2 OF CARBONIC ACID PRESSURE |
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[186] | 227 | C CORRECTION AFTER CULBERSON AND PYTKOWICZ (1968) |
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| 228 | C (CF. BROECKER ET AL., 1982) |
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| 229 | C -------------------------------------------------------- |
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| 230 | C |
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[339] | 231 | zbuf1 = -(devk1(3)+devk2(3)*tc+devk3(3)*tc*tc) |
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| 232 | zbuf2 = 0.5*(devk4(3)+devk5(3)*tc) |
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| 233 | akb3(ji,jj,jk) = akb*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 234 | |
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| 235 | zbuf1 = -(devk1(1)+devk2(1)*tc+devk3(1)*tc*tc) |
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| 236 | zbuf2 = 0.5*(devk4(1)+devk5(1)*tc) |
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| 237 | ak13(ji,jj,jk) = ak1*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 238 | |
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| 239 | zbuf1 = -(devk1(2)+devk2(2)*tc+devk3(2)*tc*tc) |
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| 240 | zbuf2 = 0.5*(devk4(2)+devk5(2)*tc) |
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| 241 | ak23(ji,jj,jk) = ak2*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 242 | |
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| 243 | zbuf1 = -(devk1(4)+devk2(4)*tc+devk3(4)*tc*tc) |
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| 244 | zbuf2 = 0.5*(devk4(4)+devk5(4)*tc) |
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[617] | 245 | akp13(ji,jj,jk) = akp1*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 246 | |
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| 247 | zbuf1 = -(devk1(5)+devk2(5)*tc+devk3(5)*tc*tc) |
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| 248 | zbuf2 = 0.5*(devk4(5)+devk5(5)*tc) |
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| 249 | akp23(ji,jj,jk) = akp2*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 250 | |
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| 251 | zbuf1 = -(devk1(6)+devk2(6)*tc+devk3(6)*tc*tc) |
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| 252 | zbuf2 = 0.5*(devk4(6)+devk5(6)*tc) |
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| 253 | akp33(ji,jj,jk) = akp3*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 254 | |
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| 255 | zbuf1 = -(devk1(7)+devk2(7)*tc+devk3(7)*tc*tc) |
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| 256 | zbuf2 = 0.5*(devk4(7)+devk5(7)*tc) |
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[339] | 257 | akw3(ji,jj,jk) = akw*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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[617] | 258 | |
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| 259 | C Ksi |
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| 260 | C aksi3(ji,jj,jk) = aksi |
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[186] | 261 | C |
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[617] | 262 | C Or using coefficient of borates (cf millero 95+ corrected version html doc co2sys) |
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| 263 | C "deltaVsi and deltaKsi have been estimated from the value of boric acid" |
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| 264 | C |
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| 265 | zbuf1 = -(devk1(3)+devk2(3)*tc+devk3(3)*tc*tc) |
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| 266 | zbuf2 = 0.5*(devk4(3)+devk5(3)*tc) |
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| 267 | aksi3(ji,jj,jk) = aksi*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 268 | |
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| 269 | C |
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| 270 | C |
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| 271 | C* 2.15 APPARENT SOLUBILITY PRODUCT K'SP OF CALCITE |
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| 272 | C AS FUNCTION OF PRESSURE FOLLOWING MILLERO |
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[186] | 273 | C (P. 1285) AND BERNER (1976) |
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[617] | 274 | C ------------------------------------------------- |
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| 275 | |
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| 276 | zbuf1 = -(devk1(8)+devk2(8)*tc+devk3(8)*tc*tc) |
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| 277 | zbuf2 = 0.5*(devk4(8)+devk5(8)*tc) |
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| 278 | aksp(ji,jj,jk) = aksp1*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 279 | |
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| 280 | C Pressure correction for sulfate and fluoride |
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[186] | 281 | C |
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[617] | 282 | zbuf1 = -(devk1(9)+devk2(9)*tc+devk3(9)*tc*tc) |
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| 283 | zbuf2 = 0.5*(devk4(9)+devk5(9)*tc) |
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| 284 | aks3(ji,jj,jk) = aks*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 285 | |
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| 286 | zbuf1 = -(devk1(10)+devk2(10)*tc+devk3(10)*tc*tc) |
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| 287 | zbuf2 = 0.5*(devk4(10)+devk5(10)*tc) |
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| 288 | akf3(ji,jj,jk) = akf*exp(zbuf1*cpexp+zbuf2*cpexp2) |
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| 289 | |
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| 290 | |
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[186] | 291 | C |
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[339] | 292 | C* 2.11 TOTAL BORATE CONCENTR. [MOLES/L] |
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| 293 | C -------------------------------------- |
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[186] | 294 | C |
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[339] | 295 | borat(ji,jj,jk) = bor1*cl*bor2 |
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[186] | 296 | C |
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[339] | 297 | C 2.12 Iron and SIO3 saturation concentration from ... |
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[186] | 298 | C ---------------------------------------------------- |
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| 299 | C |
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| 300 | sio3eq(ji,jj,jk)=exp(log(10.)*(6.44-968./tkel))*1E-6 |
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[339] | 301 | fekeq(ji,jj,jk)=10**(17.27-1565.7/(273.15+tc)) |
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[186] | 302 | C |
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| 303 | ENDDO |
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| 304 | ENDDO |
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| 305 | END DO |
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[339] | 306 | C |
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[186] | 307 | #endif |
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| 308 | C |
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| 309 | RETURN |
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| 310 | END |
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