[247] | 1 | |
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| 2 | CCC $Header$ |
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| 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 | CCC $Header$ |
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| 7 | CDIR$ LIST |
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| 8 | SUBROUTINE h3clys |
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| 9 | #if defined key_passivetrc && defined key_trc_hamocc3 |
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| 10 | CCC--------------------------------------------------------------------- |
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| 11 | CCC |
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| 12 | CCC ROUTINE h3clys |
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| 13 | CCC ****************** |
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| 14 | CCC |
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| 15 | CCC |
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| 16 | CCC PURPOSE. |
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| 17 | CCC -------- |
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| 18 | CCC *H3CLYS* CALCULATES DEGREE OF CACO3 SATURATION IN THE WATER |
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| 19 | CCC COLUMN, DISSOLUTION/PRECIPITATION OF CACO3 AND LOSS |
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| 20 | CCC OF CACO3 TO THE CACO3 SEDIMENT POOL. |
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| 21 | CCC |
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| 22 | CC |
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| 23 | CC METHOD. |
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| 24 | CC ------- |
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| 25 | CC [H+] AND [CO3--] FOR THE ACTUAL TIME STEP ARE CALCULATED |
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| 26 | CC BY NEWTON-RAPHSON ITERATION (E.G. SCARBOROUGH, 1958). |
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| 27 | CC |
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| 28 | CC EXTERNALS. |
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| 29 | CC ---------- |
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| 30 | CC NONE. |
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| 31 | CC |
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| 32 | CC REFERENCE. |
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| 33 | CC ---------- |
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| 34 | CC |
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| 35 | CC SCARBOROUGH, J. (1958) NUMERICAL MATHEMATICAL ANALYSIS. |
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| 36 | CC OXFORD UNIVERSITY PRESS, LONDON, 4TH ED., 576 PP.. |
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| 37 | CC |
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| 38 | CC* VARIABLE TYPE PURPOSE. |
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| 39 | CC -------- ---- -------- |
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| 40 | CC |
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| 41 | CC *NYEAR* INTEGER COUNTS TIMESTEPS (YEARS) OF INTEGRATION |
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| 42 | CC (INTEGER, INPUT) |
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| 43 | CC *CONVEG* REAL CHECK FOR CONVERGENCE OF NEWTON-RAPHSON |
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| 44 | CC METHOD |
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| 45 | CC *KITTER* INTEGER SETS UPPER LIMIT FOR NUMBER OF ITERATIONS |
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| 46 | CC TO DETERMINE [CO3--] AND [H+] |
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| 47 | CC *AKW* REAL APPROXIMATE VALUE OF IONIC PRODUCT OF |
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| 48 | CC WATER |
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| 49 | CC *H* REAL [H+], DUMMY VARIABLE |
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| 50 | CC *R* REAL [CO3--] [MOLE/L], DUMMY VARIABLE |
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| 51 | CC *ALKA* REAL GIVEN ALKALINITY [EQV/L], DUMMY VARIABLE |
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| 52 | CC *C* REAL GIVEN [SUM(12C)O2] [MOLE/L], DUMMY VARIABLE |
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| 53 | CC *A* REAL ALKALINITY [EQV/L] AS FUNCTION OF [CO3--] |
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| 54 | CC AND [H+], DUMMY VARIABLE |
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| 55 | CC *DELCO3* REAL DEVIATION OF ACTUAL CACO3 CONCENTRATION FROM |
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| 56 | CC SATURATION VALUE |
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| 57 | CC *UNDSAT* REAL UNDERSATURATION OF CACO3 (E.G. 3.=THREEFOLD) |
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| 58 | CC *EXCESS* REAL EXCESS OF CACO3 (E.G. 3.=THREEFOLD) |
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| 59 | CC *DISPOT* REAL FRACTION CACO3 (12C) THAT IS DISSOLVED |
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| 60 | CC *EXCE14* REAL SUPERSATURATION IN CA(14C)O3 (E.G. 3.= |
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| 61 | CC THREEFOLD) |
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| 62 | CC *DISP14* REAL FRACTION CACO3 (14C) THAT IS DISSOLVED |
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| 63 | CC *EXCE13* REAL SUPERSATURATION IN CA(13C)O3 (E.G. 3.= |
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| 64 | CC THREEFOLD) |
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| 65 | CC *DISP13* REAL FRACTION CACO3 (13C) THAT IS DISSOLVED |
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| 66 | CC *SEDLOS* REAL FRACTION OF CACO3 IN THE BOTTOM WATER LAYER |
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| 67 | CC LOST TO THE CACO3 SEDIMENT POOL |
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| 68 | CC *SEDLOI* REAL FRACTION OF CACO3 IN THE BOTTOM WATER LAYER |
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| 69 | CC WHICH REMAINS IN THE WATER COLUMN |
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| 70 | CC |
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| 71 | CC MODIFICATIONS: |
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| 72 | CC -------------- |
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| 73 | CC original : 1988-07 E. MAIER-REIMER MPI HAMBURG |
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| 74 | CC additions : 1998 O. Aumont |
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| 75 | CC modifications : 1999 C. Le Quere |
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| 76 | CC --------------------------------------------------------------------------- |
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| 77 | CC parameters and commons |
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| 78 | CC ====================== |
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| 79 | CDIR$ NOLIST |
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| 80 | USE oce_trc |
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| 81 | USE trp_trc |
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| 82 | USE sms |
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| 83 | IMPLICIT NONE |
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| 84 | CDIR$ LIST |
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| 85 | CC---------------------------------------------------------------------- |
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| 86 | CC local declarations |
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| 87 | CC ================== |
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| 88 | C |
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| 89 | INTEGER ji, jj, jk, jn |
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| 90 | INTEGER kitter |
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| 91 | REAL bot, alka |
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| 92 | REAL r, a, c |
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| 93 | REAL delco3, excess, dispot |
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| 94 | REAL h,remco3,ah2 |
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| 95 | REAL conveg, bicarb, caralk |
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| 96 | C |
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| 97 | C ------------------------------------------------------------------ |
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| 98 | C |
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| 99 | C* 1. SET HALF PRECISION CONSTANTS |
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| 100 | C -------------------------------- |
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| 101 | C |
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| 102 | zero = 0. |
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| 103 | C |
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| 104 | C =========================================================== |
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| 105 | C* 2. ITERATION TO DETERMINE [CO3--] AND [H+] |
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| 106 | C (NEWTON-RAPHSON METHOD: |
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| 107 | C THE VALUES OF [SUM(CO2)] AND [ALK] ARE GIVEN, |
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| 108 | C DESIRED ROOTS OF [CO3--] AND [H+] FOR THAT PAIR |
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| 109 | C ARE DETERMINED BY SOLVING NUMERICALLY THE SYSTEM |
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| 110 | C OF THE TWO NONLINEAR EQUATIONS |
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| 111 | C 1) [ALK]GIVEN - [ALK]([CO3--],[H+]) = 0 (=F) |
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| 112 | C 2) [SUM(CO2)]GIVEN - [SUM(CO2)]([CO3--],[H+]) = 0 (=GG) |
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| 113 | C =========================================================== |
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| 114 | C |
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| 115 | C |
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| 116 | C* 2.1 SET MAX. NUMBER OF ITERATIONS |
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| 117 | C -------------------------------------- |
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| 118 | C |
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| 119 | kitter = 15 |
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| 120 | C |
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| 121 | C* 2.2 SET DAMPING PARAMETERS FOR CORRECTIONS OF [CO3--] |
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| 122 | C AND [H+] |
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| 123 | C ------------------------------------------------------- |
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| 124 | C |
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| 125 | C |
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| 126 | C 2.3 INITIALISATION OF [HI+], and [CO3--] |
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| 127 | C ---------------------------------------- |
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| 128 | C |
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| 129 | DO jk=1,jpkm1 |
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| 130 | DO jj=1,jpj |
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| 131 | DO ji=1,jpi |
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| 132 | caralk = trn(ji,jj,jk,jptal)- |
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| 133 | & borat(ji,jj,jk)/(1.+1E-8/akb3(ji,jj,jk)) |
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| 134 | co3(ji,jj,jk) = caralk-trn(ji,jj,jk,jpdic) |
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| 135 | & +(1.-tmask(ji,jj,jk))*.5e-3 |
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| 136 | bicarb = (2.*trn(ji,jj,jk,jpdic)-caralk) |
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| 137 | hi(ji,jj,jk) = ak23(ji,jj,jk)*bicarb/co3(ji,jj,jk) |
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| 138 | END DO |
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| 139 | END DO |
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| 140 | END DO |
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| 141 | C |
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| 142 | C* 2.4 BEGIN OF ITERATION |
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| 143 | C ------------------------ |
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| 144 | C |
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| 145 | DO jn = 1,kitter |
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| 146 | C |
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| 147 | C* 2.5 COMPUTE [CO3--] and [H+] CONCENTRATIONS |
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| 148 | C ------------------------------------------- |
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| 149 | C |
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| 150 | rconvs=0. |
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| 151 | DO jk = 1,jpkm1 |
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| 152 | DO jj=1,jpj |
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| 153 | DO ji = 1, jpi |
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| 154 | C |
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| 155 | C* 2.6 SET DUMMY VARIABLE FOR TOTAL BORATE |
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| 156 | C ----------------------------------------- |
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| 157 | C |
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| 158 | bot = borat(ji,jj,jk) |
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| 159 | C |
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| 160 | C* 2.7 SET DUMMY VARIABLE FOR [H+], AND [CO3--] |
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| 161 | C ---------------------------------------------- |
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| 162 | C |
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| 163 | h = hi(ji,jj,jk)+(1.-tmask(ji,jj,jk))*1.e-9 |
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| 164 | h = amax1(hi(ji,jj,jk),1.E-10) |
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| 165 | r = co3(ji,jj,jk)+(1.-tmask(ji,jj,jk))*.5e-3 |
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| 166 | C |
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| 167 | C* 2.8 SET DUMMY VARIABLE FOR [ALK]GIVEN AND |
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| 168 | C [SUM(CO2)]GIVEN |
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| 169 | C ------------------------------------------- |
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| 170 | C |
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| 171 | alka = trn(ji,jj,jk,jptal) |
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| 172 | c = trn(ji,jj,jk,jpdic) |
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| 173 | C |
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| 174 | C* 2.9 CALCULATE [ALK]([CO3--], [HCO3-]) |
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| 175 | C ------------------------------------ |
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| 176 | C |
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| 177 | a=alka- |
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| 178 | & (akw3(ji,jj,jk)/h-h+bot/(1.+h/akb3(ji,jj,jk))) |
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| 179 | C |
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| 180 | C* 2.10 CALCULATE [H+] and [CO3--] |
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| 181 | C ----------------------------------------- |
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| 182 | C |
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| 183 | ah2=sqrt((c-a)**2+4.*(a*ak23(ji,jj,jk)/ak13(ji,jj,jk)) |
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| 184 | & *(2*c-a)) |
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| 185 | ah2=0.5*ak13(ji,jj,jk)/a*((c-a)+ah2) |
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| 186 | co3(ji,jj,jk) = a/(2.+ah2/ak23(ji,jj,jk)) |
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| 187 | C |
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| 188 | C* 2.11 CONTROL VARIABLE TO CHECK CONVERGENCE |
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| 189 | C ------------------------------------------- |
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| 190 | C |
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| 191 | c |
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| 192 | conveg=((ah2-hi(ji,jj,jk))/hi(ji,jj,jk))**2 |
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| 193 | $ *tmask(ji,jj,jk) |
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| 194 | rconvs = rconvs+conveg |
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| 195 | hi(ji,jj,jk) = ah2 |
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| 196 | ENDDO |
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| 197 | ENDDO |
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| 198 | END DO |
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| 199 | C |
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| 200 | C |
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| 201 | C 2.12 CHECK CONVERGENCE |
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| 202 | C ---------------------- |
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| 203 | C |
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| 204 | IF (rconvs.LE.1.E-2) EXIT |
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| 205 | C |
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| 206 | END DO |
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| 207 | C |
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| 208 | C --------------------------------------------------------- |
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| 209 | C* 3. CALCULATE DEGREE OF CACO3 SATURATION AND CORRESPONDING |
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| 210 | C DISSOLOUTION AND PRECIPITATION OF CACO3 (BE AWARE OF |
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| 211 | C MGCO3) |
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| 212 | C --------------------------------------------------------- |
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| 213 | C |
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| 214 | DO jk = 2,jpkm1 |
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| 215 | DO jj = 1,jpj |
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| 216 | DO ji = 1, jpi |
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| 217 | C |
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| 218 | C* 3.1 DEVIATION OF [CO3--] FROM SATURATION VALUE |
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| 219 | C ------------------------------------------------ |
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| 220 | C |
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| 221 | delco3 = co3(ji,jj,jk)-aksp(ji,jj,jk)/calcon |
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| 222 | C |
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| 223 | C* 3.2 SET DEGREE OF UNDER-/SUPERSATURATION |
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| 224 | C ------------------------------------------ |
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| 225 | C |
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| 226 | excess = amax1(zero,delco3) |
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| 227 | C |
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| 228 | C* 3.3 AMOUNT CACO3 (12C) THAT RE-ENTERS SOLUTION |
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| 229 | C (ACCORDING TO THIS FORMULATION ALSO SOME PARTICULATE |
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| 230 | C CACO3 GETS DISSOLVED EVEN IN THE CASE OF OVERSATURATION) |
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| 231 | C -------------------------------------------------------------- |
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| 232 | C |
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| 233 | dispot = trn(ji,jj,jk,jpcal)*amin1(1., |
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| 234 | & (1.-delco3/(dispo0+abs(delco3))) ) |
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| 235 | # if defined key_off_degrad |
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| 236 | & *facvol(ji,jj,jk) |
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| 237 | # endif |
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| 238 | C |
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| 239 | C* 3.5 CHANGE OF PARTICULATE CACO3 AND TOTAL INORGANIC 14C |
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| 240 | C IN THE WATER COLUMN DUE TO CACO3 DISSOLUTION/PRECIP. |
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| 241 | C ---------------------------------------------------------- |
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| 242 | C |
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| 243 | cristl = spocri |
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| 244 | # if defined key_off_degrad |
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| 245 | & *facvol(ji,jj,jk) |
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| 246 | # endif |
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| 247 | C* 3.8 CHANGE OF [CO3--] , [ALK], PARTICULATE [CACO3], |
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| 248 | C AND [SUM(CO2)] DUE TO CACO3 DISSOLUTION/PRECIPITATION |
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| 249 | C ----------------------------------------------------------- |
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| 250 | C |
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| 251 | remco3=(dispot-excess*cristl)/rmoss |
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| 252 | co3(ji,jj,jk) = co3(ji,jj,jk) |
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| 253 | & +remco3*rfact |
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| 254 | tra(ji,jj,jk,jptal) = tra(ji,jj,jk,jptal)+ |
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| 255 | & 2.*remco3 |
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| 256 | tra(ji,jj,jk,jpcal) = tra(ji,jj,jk,jpcal)- |
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| 257 | & remco3 |
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| 258 | tra(ji,jj,jk,jpdic) = tra(ji,jj,jk,jpdic)+ |
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| 259 | & remco3 |
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| 260 | # if defined key_trc_biohamocc13 |
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| 261 | tra(ji,jj,jk,jp13c) = tra(ji,jj,jk,jp13c)+pdb* |
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| 262 | & remco3 |
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| 263 | # endif |
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| 264 | C |
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| 265 | C |
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| 266 | ENDDO |
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| 267 | ENDDO |
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| 268 | END DO |
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| 269 | C |
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| 270 | #endif |
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| 271 | RETURN |
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| 272 | END |
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| 273 | |
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