[10225] | 1 | MODULE sedinorg |
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| 2 | !!====================================================================== |
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| 3 | !! *** MODULE sedinorg *** |
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| 4 | !! Sediment : dissolution and reaction in pore water of |
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| 5 | !! inorganic species |
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| 6 | !!===================================================================== |
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| 7 | !! * Modules used |
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| 8 | USE sed ! sediment global variable |
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| 9 | USE sed_oce |
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| 10 | USE sedmat ! linear system of equations |
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| 11 | USE sedco3 ! carbonate ion and proton concentration |
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| 12 | USE sedini |
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| 13 | USE seddsr |
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| 14 | USE lib_mpp ! distribued memory computing library |
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| 15 | USE lib_fortran |
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| 16 | |
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| 17 | IMPLICIT NONE |
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| 18 | PRIVATE |
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| 19 | |
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| 20 | PUBLIC sed_inorg |
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| 21 | |
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| 22 | !! $Id: seddsr.F90 5215 2015-04-15 16:11:56Z nicolasmartin $ |
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| 23 | CONTAINS |
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| 24 | |
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| 25 | SUBROUTINE sed_inorg( kt ) |
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| 26 | !!---------------------------------------------------------------------- |
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| 27 | !! *** ROUTINE sed_inorg *** |
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| 28 | !! |
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| 29 | !! ** Purpose : computes pore water dissolution and reaction |
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| 30 | !! |
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| 31 | !! ** Methode : implicit simultaneous computation of undersaturation |
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| 32 | !! resulting from diffusive pore water transport and chemical |
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| 33 | !! pore water reactions. Solid material is consumed according |
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| 34 | !! to redissolution and remineralisation |
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| 35 | !! |
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| 36 | !! ** Remarks : |
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| 37 | !! - undersaturation : deviation from saturation concentration |
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| 38 | !! - reaction rate : sink of undersaturation from dissolution |
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| 39 | !! of solid material |
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| 40 | !! |
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| 41 | !! History : |
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| 42 | !! ! 98-08 (E. Maier-Reimer, Christoph Heinze ) Original code |
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| 43 | !! ! 04-10 (N. Emprin, M. Gehlen ) f90 |
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| 44 | !! ! 06-04 (C. Ethe) Re-organization |
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| 45 | !! ! 19-08 (O. Aumont) Debugging and improvement of the model |
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| 46 | !!---------------------------------------------------------------------- |
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| 47 | !! Arguments |
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| 48 | INTEGER, INTENT(in) :: kt ! number of iteration |
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| 49 | ! --- local variables |
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| 50 | INTEGER :: ji, jk, js, jw ! dummy looop indices |
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| 51 | REAL(wp), DIMENSION(jpoce,jpksed) :: zrearat1, zrearat2 ! reaction rate in pore water |
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| 52 | REAL(wp), DIMENSION(jpoce,jpksed) :: zundsat ! undersaturation ; indice jpwatp1 is for calcite |
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| 53 | REAL(wp), DIMENSION(jpoce) :: zco3eq |
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| 54 | REAL(wp), DIMENSION(jpoce,jpksed,jpsol) :: zvolc ! temp. variables |
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| 55 | REAL(wp), DIMENSION(jpoce) :: zsieq |
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| 56 | REAL(wp) :: zsolid1, zvolw, zreasat |
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| 57 | REAL(wp) :: zsatur, zsatur2, znusil, zsolcpcl, zsolcpsi |
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| 58 | !! |
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| 59 | !!---------------------------------------------------------------------- |
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| 60 | |
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| 61 | IF( ln_timing ) CALL timing_start('sed_inorg') |
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| 62 | ! |
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| 63 | IF( kt == nitsed000 ) THEN |
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| 64 | IF (lwp) THEN |
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| 65 | WRITE(numsed,*) ' sed_inorg : Dissolution reaction ' |
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| 66 | WRITE(numsed,*) ' ' |
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| 67 | ENDIF |
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| 68 | ! ! |
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| 69 | ENDIF |
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| 70 | |
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| 71 | ! Initializations |
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| 72 | !---------------------- |
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| 73 | |
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| 74 | zrearat1(:,:) = 0. ; zundsat(:,:) = 0. |
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| 75 | zrearat2(:,:) = 0. ; zrearat2(:,:) = 0. |
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| 76 | zco3eq(:) = rtrn |
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| 77 | zvolc(:,:,:) = 0. |
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| 78 | |
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| 79 | ! ----------------------------------------------- |
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| 80 | ! Computation of Si solubility |
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| 81 | ! Param of Ridgwell et al. 2002 |
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| 82 | ! ----------------------------------------------- |
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| 83 | |
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| 84 | DO ji = 1, jpoce |
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| 85 | zsolcpcl = 0.0 |
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| 86 | zsolcpsi = 0.0 |
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| 87 | DO jk = 1, jpksed |
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| 88 | zsolcpsi = zsolcpsi + solcp(ji,jk,jsopal) * dz(jk) |
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| 89 | zsolcpcl = zsolcpcl + solcp(ji,jk,jsclay) * dz(jk) |
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| 90 | END DO |
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| 91 | zsieq(ji) = sieqs(ji) * MAX(0.25, 1.0 - (0.045 * zsolcpcl / zsolcpsi )**0.58 ) |
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| 92 | zsieq(ji) = MAX( rtrn, sieqs(ji) ) |
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| 93 | END DO |
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| 94 | |
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| 95 | DO js = 1, jpsol |
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| 96 | DO jk = 1, jpksed |
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| 97 | DO ji = 1, jpoce |
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| 98 | zvolc(ji,jk,js) = ( vols3d(ji,jk) * dens_mol_wgt(js) ) / & |
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| 99 | & ( volw3d(ji,jk) * 1.e-3 ) |
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| 100 | ENDDO |
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| 101 | ENDDO |
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| 102 | ENDDO |
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| 103 | |
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| 104 | !---------------------------------------------------------- |
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| 105 | ! 5. Beginning of Pore Water diffusion and solid reaction |
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| 106 | !--------------------------------------------------------- |
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| 107 | |
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| 108 | !----------------------------------------------------------------------------- |
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| 109 | ! For jk=2,jpksed, and for couple |
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| 110 | ! 1 : jwsil/jsopal ( SI/Opal ) |
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| 111 | ! 2 : jsclay/jsclay ( clay/clay ) |
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| 112 | ! 3 : jwoxy/jspoc ( O2/POC ) |
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| 113 | ! reaction rate is a function of solid=concentration in solid reactif in [mol/l] |
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| 114 | ! and undersaturation in [mol/l]. |
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| 115 | ! Solid weight fractions should be in ie [mol/l]) |
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| 116 | ! second member and solution are in zundsat variable |
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| 117 | !------------------------------------------------------------------------- |
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| 118 | |
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| 119 | DO jk = 1, jpksed |
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| 120 | DO ji = 1, jpoce |
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| 121 | ! For Silicic Acid and clay |
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| 122 | zundsat(ji,jk) = zsieq(ji) - pwcp(ji,jk,jwsil) |
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| 123 | ENDDO |
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| 124 | ENDDO |
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| 125 | |
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| 126 | ! Definition of reaction rates [rearat]=sans dim |
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| 127 | ! For jk=1 no reaction (pure water without solid) for each solid compo |
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| 128 | DO ji = 1, jpoce |
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| 129 | zrearat1(ji,:) = 0. |
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| 130 | zrearat2(ji,:) = 0. |
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| 131 | ENDDO |
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| 132 | |
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| 133 | ! left hand side of coefficient matrix |
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| 134 | DO jk = 2, jpksed |
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| 135 | DO ji = 1, jpoce |
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| 136 | zsolid1 = zvolc(ji,jk,jsopal) * solcp(ji,jk,jsopal) |
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| 137 | zsatur = MAX(0., zundsat(ji,jk) / zsieq(ji) ) |
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| 138 | zsatur2 = (1.0 + temp(ji) / 400.0 )**37 |
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| 139 | znusil = ( 0.225 * ( 1.0 + temp(ji) / 15.) + 0.775 * zsatur2 * zsatur**2.25 ) / zsieq(ji) |
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| 140 | zrearat1(ji,jk) = ( reac_sil * znusil * dtsed * zsolid1 ) / & |
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| 141 | & ( 1. + reac_sil * znusil * dtsed * zundsat(ji,jk) ) |
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| 142 | ENDDO |
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| 143 | ENDDO |
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| 144 | |
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| 145 | CALL sed_mat( jwsil, jpoce, jpksed, zrearat1, zrearat2, zundsat, dtsed ) |
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| 146 | |
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| 147 | ! New solid concentration values (jk=2 to jksed) for each couple |
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| 148 | DO jk = 2, jpksed |
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| 149 | DO ji = 1, jpoce |
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| 150 | zreasat = zrearat1(ji,jk) * zundsat(ji,jk) / ( zvolc(ji,jk,jsopal) ) |
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| 151 | solcp(ji,jk,jsopal) = solcp(ji,jk,jsopal) - zreasat |
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| 152 | ENDDO |
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| 153 | ENDDO |
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| 154 | |
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| 155 | ! New pore water concentrations |
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| 156 | DO jk = 1, jpksed |
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| 157 | DO ji = 1, jpoce |
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| 158 | ! Acid Silicic |
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| 159 | pwcp(ji,jk,jwsil) = zsieq(ji) - zundsat(ji,jk) |
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| 160 | ENDDO |
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| 161 | ENDDO |
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| 162 | |
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| 163 | !--------------------------------------------------------------- |
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| 164 | ! Performs CaCO3 particle deposition and redissolution (indice 9) |
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| 165 | !-------------------------------------------------------------- |
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| 166 | |
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| 167 | ! computes co3por from the updated pwcp concentrations (note [co3por] = mol/l) |
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| 168 | |
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| 169 | CALL sed_co3( kt ) |
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| 170 | |
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| 171 | ! *densSW(l)**2 converts aksps [mol2/kg sol2] into [mol2/l2] to get [undsat] in [mol/l] |
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| 172 | DO jk = 1, jpksed |
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| 173 | DO ji = 1, jpoce |
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| 174 | zco3eq(ji) = aksps(ji) * densSW(ji) * densSW(ji) / ( calcon2(ji) + rtrn ) |
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| 175 | zco3eq(ji) = MAX( rtrn, zco3eq(ji) ) |
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| 176 | zundsat(ji,jk) = MAX(0., zco3eq(ji) - co3por(ji,jk) ) |
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| 177 | ENDDO |
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| 178 | ENDDO |
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| 179 | |
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| 180 | DO jk = 2, jpksed |
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| 181 | DO ji = 1, jpoce |
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| 182 | zsolid1 = zvolc(ji,jk,jscal) * solcp(ji,jk,jscal) |
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| 183 | zrearat1(ji,jk) = ( reac_cal * dtsed * zsolid1 / zco3eq(ji) ) / & |
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| 184 | & ( 1. + reac_cal * dtsed * zundsat(ji,jk) / zco3eq(ji) ) |
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| 185 | END DO |
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| 186 | END DO |
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| 187 | |
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| 188 | ! solves tridiagonal system |
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| 189 | CALL sed_mat( jwdic, jpoce, jpksed, zrearat1, zrearat2, zundsat, dtsed ) |
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| 190 | |
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| 191 | ! New solid concentration values (jk=2 to jksed) for cacO3 |
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| 192 | DO jk = 2, jpksed |
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| 193 | DO ji = 1, jpoce |
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| 194 | zreasat = zrearat1(ji,jk) * zundsat(ji,jk) / zvolc(ji,jk,jscal) |
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| 195 | solcp(ji,jk,jscal) = solcp(ji,jk,jscal) - zreasat |
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| 196 | ENDDO |
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| 197 | ENDDO |
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| 198 | |
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| 199 | ! New dissolved concentrations |
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| 200 | DO jk = 1, jpksed |
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| 201 | DO ji = 1, jpoce |
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| 202 | zreasat = zrearat1(ji,jk) * zundsat(ji,jk) |
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| 203 | ! For DIC |
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| 204 | pwcp(ji,jk,jwdic) = pwcp(ji,jk,jwdic) + zreasat |
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| 205 | ! For alkalinity |
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| 206 | pwcp(ji,jk,jwalk) = pwcp(ji,jk,jwalk) + 2.0 * zreasat |
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| 207 | ENDDO |
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| 208 | ENDDO |
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| 209 | |
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| 210 | !------------------------------------------------- |
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| 211 | ! Beginning DIC, Alkalinity |
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| 212 | !------------------------------------------------- |
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| 213 | |
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| 214 | DO jk = 1, jpksed |
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| 215 | DO ji = 1, jpoce |
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| 216 | zundsat(ji,jk) = pwcp(ji,jk,jwdic) |
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| 217 | zrearat1(ji,jk) = 0. |
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| 218 | ENDDO |
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| 219 | ENDDO |
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| 220 | |
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| 221 | ! solves tridiagonal system |
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| 222 | CALL sed_mat( jwdic, jpoce, jpksed, zrearat1, zrearat2, zundsat, dtsed ) |
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| 223 | |
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| 224 | ! New dissolved concentrations |
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| 225 | DO jk = 1, jpksed |
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| 226 | DO ji = 1, jpoce |
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| 227 | pwcp(ji,jk,jwdic) = zundsat(ji,jk) |
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| 228 | ENDDO |
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| 229 | ENDDO |
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| 230 | |
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| 231 | !------------------------------------------------- |
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| 232 | ! Beginning DIC, Alkalinity |
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| 233 | !------------------------------------------------- |
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| 234 | |
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| 235 | DO jk = 1, jpksed |
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| 236 | DO ji = 1, jpoce |
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| 237 | zundsat(ji,jk) = pwcp(ji,jk,jwalk) |
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| 238 | zrearat1(ji,jk) = 0. |
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| 239 | ENDDO |
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| 240 | ENDDO |
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| 241 | ! |
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| 242 | ! ! solves tridiagonal system |
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| 243 | CALL sed_mat( jwalk, jpoce, jpksed, zrearat1, zrearat2, zundsat, dtsed ) |
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| 244 | ! |
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| 245 | ! ! New dissolved concentrations |
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| 246 | DO jk = 1, jpksed |
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| 247 | DO ji = 1, jpoce |
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| 248 | pwcp(ji,jk,jwalk) = zundsat(ji,jk) |
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| 249 | ENDDO |
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| 250 | ENDDO |
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| 251 | |
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| 252 | !---------------------------------- |
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| 253 | ! Back to initial geometry |
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| 254 | !----------------------------- |
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| 255 | |
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| 256 | !--------------------------------------------------------------------- |
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| 257 | ! 1/ Compensation for ajustement of the bottom water concentrations |
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| 258 | ! (see note n° 1 about *por(2)) |
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| 259 | !-------------------------------------------------------------------- |
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| 260 | DO jw = 1, jpwat |
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| 261 | DO ji = 1, jpoce |
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| 262 | pwcp(ji,1,jw) = pwcp(ji,1,jw) + & |
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| 263 | & pwcp(ji,2,jw) * dzdep(ji) * por(2) / dzkbot(ji) |
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| 264 | END DO |
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| 265 | ENDDO |
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| 266 | |
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| 267 | !----------------------------------------------------------------------- |
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| 268 | ! 2/ Det of new rainrg taking account of the new weight fraction obtained |
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| 269 | ! in dz3d(2) after diffusion/reaction (react/diffu are also in dzdep!) |
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| 270 | ! This new rain (rgntg rm) will be used in advection/burial routine |
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| 271 | !------------------------------------------------------------------------ |
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| 272 | DO js = 1, jpsol |
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| 273 | DO ji = 1, jpoce |
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| 274 | rainrg(ji,js) = raintg(ji) * solcp(ji,2,js) |
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| 275 | rainrm(ji,js) = rainrg(ji,js) / mol_wgt(js) |
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| 276 | END DO |
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| 277 | ENDDO |
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| 278 | |
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| 279 | ! New raintg |
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| 280 | raintg(:) = 0. |
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| 281 | DO js = 1, jpsol |
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| 282 | DO ji = 1, jpoce |
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| 283 | raintg(ji) = raintg(ji) + rainrg(ji,js) |
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| 284 | END DO |
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| 285 | ENDDO |
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| 286 | |
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| 287 | !-------------------------------- |
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| 288 | ! 3/ back to initial geometry |
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| 289 | !-------------------------------- |
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| 290 | DO ji = 1, jpoce |
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| 291 | dz3d (ji,2) = dz(2) |
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| 292 | volw3d(ji,2) = dz3d(ji,2) * por(2) |
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| 293 | vols3d(ji,2) = dz3d(ji,2) * por1(2) |
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| 294 | ENDDO |
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| 295 | |
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| 296 | IF( ln_timing ) CALL timing_stop('sed_inorg') |
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| 297 | ! |
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| 298 | END SUBROUTINE sed_inorg |
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| 299 | |
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| 300 | END MODULE sedinorg |
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