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 | !! $Id$ |
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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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