| 1 | MODULE p4zche |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE p4zche *** |
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| 4 | !! TOP : PISCES Sea water chemistry computed following OCMIP protocol |
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| 5 | !!====================================================================== |
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| 6 | !! History : - ! 1988 (E. Maier-Reimer) Original code |
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| 7 | !! - ! 1998 (O. Aumont) addition |
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| 8 | !! - ! 1999 (C. Le Quere) modification |
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| 9 | !! 1.0 ! 2004 (O. Aumont) modification |
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| 10 | !! - ! 2006 (R. Gangsto) modification |
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| 11 | !! 2.0 ! 2007-12 (C. Ethe, G. Madec) F90 |
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| 12 | !!---------------------------------------------------------------------- |
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| 13 | #if defined key_pisces |
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| 14 | !!---------------------------------------------------------------------- |
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| 15 | !! 'key_pisces' PISCES bio-model |
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| 16 | !!---------------------------------------------------------------------- |
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| 17 | !! p4z_che : Sea water chemistry computed following OCMIP protocol |
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| 18 | !!---------------------------------------------------------------------- |
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| 19 | USE oce_trc ! |
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| 20 | USE trp_trc ! |
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| 21 | USE sms ! |
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| 22 | |
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| 23 | IMPLICIT NONE |
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| 24 | PRIVATE |
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| 25 | |
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| 26 | PUBLIC p4z_che ! called in p4zprg.F90 |
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| 27 | |
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| 28 | !!* Substitution |
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| 29 | #include "domzgr_substitute.h90" |
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| 30 | !!---------------------------------------------------------------------- |
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| 31 | !! NEMO/TOP 2.0 , LOCEAN-IPSL (2007) |
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| 32 | !! $Header:$ |
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| 33 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 34 | !!---------------------------------------------------------------------- |
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| 35 | |
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| 36 | CONTAINS |
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| 37 | |
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| 38 | SUBROUTINE p4z_che |
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| 39 | !!--------------------------------------------------------------------- |
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| 40 | !! *** ROUTINE p4z_che *** |
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| 41 | !! |
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| 42 | !! ** Purpose : Sea water chemistry computed following OCMIP protocol |
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| 43 | !! |
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| 44 | !! ** Method : - ... |
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| 45 | !!--------------------------------------------------------------------- |
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| 46 | INTEGER :: ji, jj, jk |
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| 47 | REAL(wp) :: ztkel, zsal , zqtt , zbuf1 , zbuf2 |
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| 48 | REAL(wp) :: zpres, ztc , zcl , zcpexp, zcek0, zoxy , zcpexp2 |
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| 49 | REAL(wp) :: zsqrt, ztr , zlogt , zcek1 |
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| 50 | REAL(wp) :: zlqtt, zqtt2, zsal15, zis , zis2 , zisqrt |
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| 51 | REAL(wp) :: zckb , zck1 , zck2 , zckw , zak1 , zak2 , zakb , zaksp0, zakw |
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| 52 | REAL(wp) :: zckp1, zckp2, zckp3 , zcksi , zakp1, zakp2 , zakp3, zaksi |
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| 53 | REAL(wp) :: zst , zft , zcks , zckf , zaks , zakf , zaksp1 |
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| 54 | !!--------------------------------------------------------------------- |
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| 55 | |
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| 56 | ! CHEMICAL CONSTANTS - SURFACE LAYER |
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| 57 | ! ---------------------------------- |
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| 58 | |
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| 59 | DO jj = 1, jpj |
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| 60 | DO ji = 1, jpi |
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| 61 | |
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| 62 | ! ! SET ABSOLUTE TEMPERATURE |
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| 63 | ztkel = tn(ji,jj,1) + 273.16 |
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| 64 | zqtt = ztkel * 0.01 |
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| 65 | zqtt2 = zqtt * zqtt |
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| 66 | zsal = sn(ji,jj,1) + (1.- tmask(ji,jj,1) ) * 35. |
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| 67 | zlqtt = LOG( zqtt ) |
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| 68 | |
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| 69 | ! ! LN(K0) OF SOLUBILITY OF CO2 (EQ. 12, WEISS, 1980) |
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| 70 | ! ! AND FOR THE ATMOSPHERE FOR NON IDEAL GAS |
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| 71 | zcek0 = c00 + c01 / zqtt + c02 * zlqtt + zsal * ( c03 + c04 * zqtt + c05 * zqtt2 ) |
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| 72 | zcek1 = ca0 + ca1 / zqtt + ca2 * zlqtt + ca3 * zqtt2 + zsal*( ca4 + ca5 * zqtt + ca6 * zqtt2 ) |
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| 73 | |
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| 74 | ! ! LN(K0) OF SOLUBILITY OF O2 and N2 (EQ. 4, WEISS, 1970) |
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| 75 | zoxy = ox0 + ox1 / zqtt + ox2 * zlqtt + zsal * ( ox3 + ox4 * zqtt + ox5 * zqtt2 ) |
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| 76 | |
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| 77 | ! ! SET SOLUBILITIES OF O2 AND CO2 |
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| 78 | chemc(ji,jj,1) = EXP( zcek0 ) * 1.e-6 * rhop(ji,jj,1) / 1000. |
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| 79 | chemc(ji,jj,2) = EXP( zoxy ) * oxyco |
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| 80 | chemc(ji,jj,3) = EXP( zcek1 ) * 1.e-6 * rhop(ji,jj,1) / 1000. |
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| 81 | |
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| 82 | END DO |
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| 83 | END DO |
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| 84 | |
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| 85 | ! CHEMICAL CONSTANTS - DEEP OCEAN |
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| 86 | ! ------------------------------- |
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| 87 | |
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| 88 | DO jk = 1, jpk |
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| 89 | DO jj = 1, jpj |
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| 90 | DO ji = 1, jpi |
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| 91 | |
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| 92 | ! SET PRESSION |
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| 93 | zpres = 1.025e-1 * fsdept(ji,jj,jk) |
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| 94 | |
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| 95 | ! SET ABSOLUTE TEMPERATURE |
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| 96 | ztkel = tn(ji,jj,jk) + 273.16 |
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| 97 | zqtt = ztkel * 0.01 |
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| 98 | zsal = sn(ji,jj,jk) + ( 1.-tmask(ji,jj,jk) ) * 35. |
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| 99 | zsqrt = SQRT( zsal ) |
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| 100 | zsal15 = zsqrt * zsal |
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| 101 | zlogt = LOG( ztkel ) |
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| 102 | ztr = 1. / ztkel |
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| 103 | zis = 19.924 * zsal / ( 1000.- 1.005 * zsal ) |
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| 104 | zis2 = zis * zis |
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| 105 | zisqrt = SQRT( zis ) |
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| 106 | ztc = tn(ji,jj,jk) + ( 1.- tmask(ji,jj,jk) ) * 20. |
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| 107 | |
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| 108 | ! CHLORINITY (WOOSTER ET AL., 1969) |
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| 109 | zcl = zsal * salchl |
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| 110 | |
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| 111 | ! TOTAL SULFATE CONCENTR. [MOLES/kg soln] |
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| 112 | zst = st1 * zcl * st2 |
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| 113 | |
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| 114 | ! TOTAL FLUORIDE CONCENTR. [MOLES/kg soln] |
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| 115 | zft = ft1 * zcl * ft2 |
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| 116 | |
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| 117 | ! DISSOCIATION CONSTANT FOR SULFATES on free H scale (Dickson 1990) |
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| 118 | zcks = EXP( ks1 * ztr + ks0 + ks2 * zlogt & |
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| 119 | & + ( ks3 * ztr + ks4 + ks5 * zlogt ) * zisqrt & |
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| 120 | & + ( ks6 * ztr + ks7 + ks8 * zlogt ) * zis & |
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| 121 | & + ks9 * ztr * zis * zisqrt + ks10 * ztr *zis2 + LOG( ks11 + ks12 *zsal ) ) |
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| 122 | |
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| 123 | ! DISSOCIATION CONSTANT FOR FLUORIDES on free H scale (Dickson and Riley 79) |
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| 124 | zckf = EXP( kf1 * ztr + kf0 + kf2 * zisqrt + LOG( kf3 + kf4 * zsal ) ) |
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| 125 | |
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| 126 | ! DISSOCIATION CONSTANT FOR CARBONATE AND BORATE |
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| 127 | zckb = ( cb0 + cb1 * zsqrt + cb2 * zsal + cb3 * zsal15 + cb4 * zsal * zsal ) * ztr & |
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| 128 | & + ( cb5 + cb6 * zsqrt + cb7 * zsal ) & |
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| 129 | & + ( cb8 + cb9 * zsqrt + cb10 * zsal ) * zlogt + cb11 * zsqrt * ztkel & |
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| 130 | & + LOG( ( 1.+ zst / zcks + zft / zckf ) / ( 1.+ zst / zcks ) ) |
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| 131 | !!gm zsal**2 to be replaced by a *... |
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| 132 | zck1 = c10 * ztr + c11 + c12 * zlogt + c13 * zsal + c14 * zsal**2 |
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| 133 | zck2 = c20 * ztr + c21 + c22 * zsal + c23 * zsal**2 |
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| 134 | |
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| 135 | ! PKW (H2O) (DICKSON AND RILEY, 1979) |
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| 136 | zckw = cw0 * ztr + cw1 + cw2 * zlogt + ( cw3 * ztr + cw4 + cw5 * zlogt ) * zsqrt + cw6 * zsal |
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| 137 | |
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| 138 | ! DISSOCIATION CONSTANT FOR PHOSPHATE AND SILICATE (seawater scale) |
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| 139 | zckp1 = cp10 + cp11 * ztr + cp12 * zlogt + zsqrt * ( cp13 * ztr + cp14 ) + zsal * ( cp15 * ztr + cp16 ) |
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| 140 | zckp2 = cp20 + cp21 * ztr + cp22 * zlogt + zsqrt * ( cp23 * ztr + cp24 ) + zsal * ( cp25 * ztr + cp26 ) |
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| 141 | zckp3 = cp30 + cp31 * ztr + zsqrt * ( cp32 * ztr + cp33 ) + zsal * ( cp34 * ztr + cp35 ) |
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| 142 | zcksi = cs10 + cs11 * ztr + cs12 * zlogt + zisqrt* ( cs13 * ztr + cs14 ) + zis * ( cs15 * ztr + cs16 ) & |
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| 143 | & + zis2 * ( cs17 * ztr + cs18 ) + LOG( 1. + cs19 * zsal ) & |
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| 144 | & + LOG( cs20 + cs21 * zsal ) |
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| 145 | |
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| 146 | ! APPARENT SOLUBILITY PRODUCT K'SP OF CALCITE IN SEAWATER |
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| 147 | ! (S=27-43, T=2-25 DEG C) at pres =0 (atmos. pressure) (MUCCI 1983) |
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| 148 | zaksp0 = akcc1 + akcc2 * ztkel + akcc3 * ztr + akcc4 * LOG10( ztkel ) & |
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| 149 | & + ( akcc5 + akcc6 * ztkel + akcc7 * ztr ) * zsqrt + akcc8 * zsal + akcc9 * zsal15 |
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| 150 | |
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| 151 | ! K1, K2 OF CARBONIC ACID, KB OF BORIC ACID, KW (H2O) (LIT.?) |
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| 152 | zak1 = 10**(zck1) |
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| 153 | zak2 = 10**(zck2) |
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| 154 | zakb = EXP( zckb ) |
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| 155 | zakp1 = EXP( zckp1 ) |
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| 156 | zakp2 = EXP( zckp2 ) |
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| 157 | zakp3 = EXP( zckp3 ) |
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| 158 | zaksi = EXP( zcksi ) |
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| 159 | zakw = EXP( zckw ) |
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| 160 | zaksp1 = 10**(zaksp0) |
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| 161 | zaks = exp( zcks ) |
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| 162 | zakf = exp( zckf ) |
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| 163 | |
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| 164 | ! FORMULA FOR CPEXP AFTER EDMOND & GIESKES (1970) |
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| 165 | ! (REFERENCE TO CULBERSON & PYTKOQICZ (1968) AS MADE |
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| 166 | ! IN BROECKER ET AL. (1982) IS INCORRECT; HERE RGAS IS |
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| 167 | ! TAKEN TENFOLD TO CORRECT FOR THE NOTATION OF pres IN |
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| 168 | ! DBAR INSTEAD OF BAR AND THE EXPRESSION FOR CPEXP IS |
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| 169 | ! MULTIPLIED BY LN(10.) TO ALLOW USE OF EXP-FUNCTION |
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| 170 | ! WITH BASIS E IN THE FORMULA FOR AKSPP (CF. EDMOND |
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| 171 | ! & GIESKES (1970), P. 1285-1286 (THE SMALL |
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| 172 | ! FORMULA ON P. 1286 IS RIGHT AND CONSISTENT WITH THE |
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| 173 | ! SIGN IN PARTIAL MOLAR VOLUME CHANGE AS SHOWN ON P. 1285)) |
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| 174 | zcpexp = zpres /(rgas*ztkel) |
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| 175 | zcpexp2 = zpres * zpres/(rgas*ztkel) |
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| 176 | |
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| 177 | ! KB OF BORIC ACID, K1,K2 OF CARBONIC ACID PRESSURE |
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| 178 | ! CORRECTION AFTER CULBERSON AND PYTKOWICZ (1968) |
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| 179 | ! (CF. BROECKER ET AL., 1982) |
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| 180 | zbuf1 = - ( devk1(3) + devk2(3) * ztc + devk3(3) * ztc * ztc ) |
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| 181 | zbuf2 = 0.5 * ( devk4(3) + devk5(3) * ztc ) |
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| 182 | akb3(ji,jj,jk) = zakb * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 183 | |
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| 184 | zbuf1 = -(devk1(1)+devk2(1)*ztc+devk3(1)*ztc*ztc) |
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| 185 | zbuf2 = 0.5*(devk4(1)+devk5(1)*ztc) |
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| 186 | ak13(ji,jj,jk) = zak1 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 187 | |
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| 188 | zbuf1 = - ( devk1(2) + devk2(2) * ztc + devk3(2) * ztc * ztc ) |
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| 189 | zbuf2 = 0.5 * ( devk4(2) + devk5(2) * ztc ) |
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| 190 | ak23(ji,jj,jk) = zak2 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 191 | |
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| 192 | zbuf1 = - ( devk1(4) + devk2(4) * ztc + devk3(4) * ztc * ztc ) |
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| 193 | zbuf2 = 0.5 * ( devk4(4) + devk5(4) * ztc ) |
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| 194 | akp13(ji,jj,jk) = zakp1 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 195 | |
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| 196 | zbuf1 = - ( devk1(5) + devk2(5) * ztc + devk3(5) * ztc * ztc ) |
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| 197 | zbuf2 = 0.5 * ( devk4(5) + devk5(5) * ztc ) |
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| 198 | akp23(ji,jj,jk) = zakp2 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 199 | |
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| 200 | zbuf1 = - ( devk1(6) + devk2(6) * ztc + devk3(6) * ztc * ztc ) |
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| 201 | zbuf2 = 0.5 * ( devk4(6) + devk5(6) * ztc ) |
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| 202 | akp33(ji,jj,jk) = zakp3 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 203 | |
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| 204 | zbuf1 = - ( devk1(7) + devk2(7) * ztc + devk3(7) * ztc * ztc ) |
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| 205 | zbuf2 = 0.5 * ( devk4(7) + devk5(7) * ztc ) |
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| 206 | akw3(ji,jj,jk) = zakw * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 207 | |
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| 208 | ! Ksi |
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| 209 | ! aksi3(ji,jj,jk) = zaksi |
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| 210 | ! |
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| 211 | ! Or using coefficient of borates (cf millero 95+ corrected version html doc co2sys) |
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| 212 | ! "deltaVsi and deltaKsi have been estimated from the value of boric acid" |
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| 213 | zbuf1 = - ( devk1(3) + devk2(3) * ztc + devk3(3) * ztc * ztc ) |
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| 214 | zbuf2 = 0.5 * ( devk4(3) + devk5(3) * ztc ) |
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| 215 | aksi3(ji,jj,jk) = zaksi * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 216 | |
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| 217 | ! APPARENT SOLUBILITY PRODUCT K'SP OF CALCITE |
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| 218 | ! AS FUNCTION OF PRESSURE FOLLOWING MILLERO |
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| 219 | ! (P. 1285) AND BERNER (1976) |
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| 220 | zbuf1 = - ( devk1(8) + devk2(8) * ztc + devk3(8) * ztc * ztc ) |
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| 221 | zbuf2 = 0.5 * ( devk4(8) + devk5(8) * ztc ) |
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| 222 | aksp(ji,jj,jk) = zaksp1 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 223 | |
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| 224 | ! Pressure correction for sulfate and fluoride |
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| 225 | zbuf1 = - ( devk1(9) + devk2(9) * ztc + devk3(9) * ztc * ztc ) |
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| 226 | zbuf2 = 0.5 * ( devk4(9) + devk5(9) * ztc ) |
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| 227 | aks3(ji,jj,jk) = zaks * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 228 | |
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| 229 | zbuf1 = - ( devk1(10) + devk2(10) * ztc + devk3(10) * ztc * ztc ) |
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| 230 | zbuf2 = 0.5 * ( devk4(10) + devk5(10) * ztc ) |
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| 231 | akf3(ji,jj,jk) = zakf * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 232 | |
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| 233 | ! TOTAL BORATE CONCENTR. [MOLES/L] |
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| 234 | borat(ji,jj,jk) = bor1 * zcl * bor2 |
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| 235 | |
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| 236 | ! Iron and SIO3 saturation concentration from ... |
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| 237 | sio3eq(ji,jj,jk) = EXP( LOG( 10.) * ( 6.44 - 968. / ztkel ) ) * 1.e-6 |
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| 238 | fekeq (ji,jj,jk) = 10**( 17.27 - 1565.7 / ( 273.15 + ztc ) ) |
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| 239 | |
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| 240 | END DO |
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| 241 | END DO |
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| 242 | END DO |
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| 243 | ! |
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| 244 | END SUBROUTINE p4z_che |
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| 245 | |
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| 246 | #else |
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| 247 | !!====================================================================== |
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| 248 | !! Dummy module : No PISCES bio-model |
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| 249 | !!====================================================================== |
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| 250 | CONTAINS |
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| 251 | SUBROUTINE p4z_che( kt ) ! Empty routine |
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| 252 | INTEGER, INTENT( in ) :: kt |
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| 253 | WRITE(*,*) 'p4z_che: You should not have seen this print! error?', kt |
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| 254 | END SUBROUTINE p4z_che |
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| 255 | #endif |
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| 256 | |
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| 257 | !!====================================================================== |
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| 258 | END MODULE p4zche |
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