| [935] | 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 | !! * Shared module variables |
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| 29 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,jpk) :: & !: |
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| 30 | sio3eq, fekeq !: chemistry of Fe and Si |
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| 31 | |
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| 32 | REAL(wp), PUBLIC, DIMENSION(jpi,jpj,2) :: & !: |
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| 33 | chemc !: Solubilities of O2 and CO2 |
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| 34 | |
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| 35 | !! * Module variables |
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| 36 | |
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| 37 | REAL(wp) :: & |
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| 38 | salchl = 1./1.80655 ! conversion factor for salinity --> chlorinity (Wooster et al. 1969) |
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| 39 | |
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| 40 | REAL(wp) :: & ! coeff. for apparent solubility equilibrium |
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| 41 | akcc1 = -171.9065 , & ! Millero et al. 1995 from Mucci 1983 |
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| 42 | akcc2 = -0.077993 , & |
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| 43 | akcc3 = 2839.319 , & |
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| 44 | akcc4 = 71.595 , & |
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| 45 | akcc5 = -0.77712 , & |
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| 46 | akcc6 = 0.0028426 , & |
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| 47 | akcc7 = 178.34 , & |
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| 48 | akcc8 = -0.07711 , & |
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| 49 | akcc9 = 0.0041249 |
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| 50 | |
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| 51 | REAL(wp) :: & ! universal gas constants |
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| 52 | rgas = 83.143, & |
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| 53 | oxyco = 1./22.4144 |
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| 54 | |
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| 55 | REAL(wp) :: & ! borat constants |
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| 56 | bor1 = 0.00023, & |
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| 57 | bor2 = 1./10.82 |
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| 58 | |
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| 59 | REAL(wp) :: & ! |
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| 60 | ca0 = -162.8301 , & |
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| 61 | ca1 = 218.2968 , & |
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| 62 | ca2 = 90.9241 , & |
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| 63 | ca3 = -1.47696 , & |
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| 64 | ca4 = 0.025695 , & |
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| 65 | ca5 = -0.025225 , & |
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| 66 | ca6 = 0.0049867 |
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| 67 | |
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| 68 | REAL(wp) :: & ! coeff. for 1. dissoc. of carbonic acid (Edmond and Gieskes, 1970) |
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| 69 | c10 = -3670.7 , & |
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| 70 | c11 = 62.008 , & |
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| 71 | c12 = -9.7944 , & |
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| 72 | c13 = 0.0118 , & |
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| 73 | c14 = -0.000116 |
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| 74 | |
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| 75 | REAL(wp) :: & ! coeff. for 2. dissoc. of carbonic acid (Millero, 1995) |
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| 76 | c20 = -1394.7 , & |
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| 77 | c21 = -4.777 , & |
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| 78 | c22 = 0.0184 , & |
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| 79 | c23 = -0.000118 |
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| 80 | |
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| 81 | REAL(wp) :: & ! constants for calculate concentrations |
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| 82 | st1 = 0.14 , & ! for sulfate (Morris & Riley 1966) |
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| 83 | st2 = 1./96.062, & |
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| 84 | ks0 = 141.328 , & |
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| 85 | ks1 = -4276.1 , & |
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| 86 | ks2 = -23.093 , & |
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| 87 | ks3 = -13856. , & |
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| 88 | ks4 = 324.57 , & |
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| 89 | ks5 = -47.986 , & |
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| 90 | ks6 = 35474. , & |
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| 91 | ks7 = -771.54 , & |
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| 92 | ks8 = 114.723 , & |
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| 93 | ks9 = -2698. , & |
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| 94 | ks10 = 1776. , & |
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| 95 | ks11 = 1. , & |
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| 96 | ks12 = -0.001005 |
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| 97 | |
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| 98 | REAL(wp) :: & ! constants for calculate concentrations |
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| 99 | ft1 = 0.000067 , & ! fluorides (Dickson & Riley 1979 ) |
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| 100 | ft2 = 1./18.9984 , & |
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| 101 | kf0 = -12.641 , & |
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| 102 | kf1 = 1590.2 , & |
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| 103 | kf2 = 1.525 , & |
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| 104 | kf3 = 1.0 , & |
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| 105 | kf4 =-0.001005 |
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| 106 | |
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| 107 | |
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| 108 | REAL(wp) :: & ! coeff. for 1. dissoc. of boric acid (Dickson and Goyet, 1994) |
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| 109 | cb0 = -8966.90, & |
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| 110 | cb1 = -2890.53, & |
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| 111 | cb2 = -77.942 , & |
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| 112 | cb3 = 1.728 , & |
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| 113 | cb4 = -0.0996 , & |
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| 114 | cb5 = 148.0248, & |
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| 115 | cb6 = 137.1942, & |
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| 116 | cb7 = 1.62142 , & |
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| 117 | cb8 = -24.4344, & |
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| 118 | cb9 = -25.085 , & |
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| 119 | cb10 = -0.2474 , & |
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| 120 | cb11 = 0.053105 |
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| 121 | |
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| 122 | REAL(wp) :: & ! coeff. for dissoc. of water (Dickson and Riley, 1979 ) |
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| 123 | cw0 = -13847.26 , & |
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| 124 | cw1 = 148.9652 , & |
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| 125 | cw2 = -23.6521 , & |
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| 126 | cw3 = 118.67 , & |
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| 127 | cw4 = -5.977 , & |
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| 128 | cw5 = 1.0495 , & |
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| 129 | cw6 = -0.01615 |
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| 130 | |
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| 131 | REAL(wp) :: & ! coeff. for dissoc. of phosphate (Millero (1974) |
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| 132 | cp10 = 115.54 , & |
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| 133 | cp11 = -4576.752 , & |
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| 134 | cp12 = -18.453 , & |
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| 135 | cp13 = -106.736 , & |
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| 136 | cp14 = 0.69171 , & |
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| 137 | cp15 = -0.65643 , & |
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| 138 | cp16 = -0.01844 , & |
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| 139 | cp20 = 172.1033 , & |
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| 140 | cp21 = -8814.715 , & |
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| 141 | cp22 = -27.927 , & |
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| 142 | cp23 = -160.340 , & |
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| 143 | cp24 = 1.3566 , & |
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| 144 | cp25 = 0.37335 , & |
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| 145 | cp26 = -0.05778 , & |
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| 146 | cp30 = -18.126 , & |
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| 147 | cp31 = -3070.75 , & |
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| 148 | cp32 = 17.27039 , & |
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| 149 | cp33 = 2.81197 , & |
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| 150 | cp34 = -44.99486 , & |
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| 151 | cp35 = -0.09984 |
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| 152 | |
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| 153 | REAL(wp) :: & ! coeff. for dissoc. of silicates (Millero (1974) |
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| 154 | cs10 = 117.385 , & |
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| 155 | cs11 = -8904.2 , & |
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| 156 | cs12 = -19.334 , & |
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| 157 | cs13 = -458.79 , & |
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| 158 | cs14 = 3.5913 , & |
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| 159 | cs15 = 188.74 , & |
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| 160 | cs16 = -1.5998 , & |
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| 161 | cs17 = -12.1652 , & |
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| 162 | cs18 = 0.07871 , & |
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| 163 | cs19 = 0. , & |
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| 164 | cs20 = 1. , & |
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| 165 | cs21 = -0.001005 |
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| 166 | |
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| 167 | REAL(wp) :: & ! volumetric solubility constants for o2 in ml/l (Weiss, 1974) |
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| 168 | ox0 = -58.3877 , & |
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| 169 | ox1 = 85.8079 , & |
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| 170 | ox2 = 23.8439 , & |
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| 171 | ox3 = -0.034892 , & |
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| 172 | ox4 = 0.015568 , & |
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| 173 | ox5 = -0.0019387 |
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| 174 | |
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| 175 | REAL(wp), DIMENSION(5) :: & ! coeff. for seawater pressure correction |
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| 176 | devk1, devk2, devk3, & ! (millero 95) |
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| 177 | devk4, devk5 |
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| 178 | |
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| 179 | DATA devk1 / -25.5 , -15.82 , -29.48 , -25.60 , -48.76 / |
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| 180 | DATA devk2 / 0.1271 , -0.0219 , 0.1622 , 0.2324 , 0.5304 / |
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| 181 | DATA devk3 / 0. , 0. , 2.608E-3, -3.6246E-3, 0. / |
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| 182 | DATA devk4 / -3.08E-3 , 1.13E-3 , -2.84E-3, -5.13E-3 , -11.76E-3 / |
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| 183 | DATA devk5 / 0.0877E-3, -0.1475E-3, 0. , 0.0794E-3 , 0.3692E-3 / |
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| 184 | |
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| 185 | !!* Substitution |
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| 186 | #include "domzgr_substitute.h90" |
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| 187 | !!---------------------------------------------------------------------- |
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| 188 | !! NEMO/TOP 2.0 , LOCEAN-IPSL (2007) |
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| 189 | !! $Header:$ |
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| 190 | !! Software governed by the CeCILL licence (modipsl/doc/NEMO_CeCILL.txt) |
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| 191 | !!---------------------------------------------------------------------- |
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| 192 | |
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| 193 | CONTAINS |
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| 194 | |
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| 195 | SUBROUTINE p4z_che |
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| 196 | !!--------------------------------------------------------------------- |
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| 197 | !! *** ROUTINE p4z_che *** |
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| 198 | !! |
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| 199 | !! ** Purpose : Sea water chemistry computed following OCMIP protocol |
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| 200 | !! |
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| 201 | !! ** Method : - ... |
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| 202 | !!--------------------------------------------------------------------- |
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| 203 | INTEGER :: ji, jj, jk |
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| 204 | REAL(wp) :: ztkel, zsal , zqtt , zbuf1 , zbuf2 |
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| 205 | REAL(wp) :: zpres, ztc , zcl , zcpexp, zoxy , zcpexp2 |
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| 206 | REAL(wp) :: zsqrt, ztr , zlogt , zcek1 |
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| 207 | REAL(wp) :: zlqtt, zqtt2, zsal15, zis , zis2 , zisqrt |
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| 208 | REAL(wp) :: zckb , zck1 , zck2 , zckw , zak1 , zak2 , zakb , zaksp0, zakw |
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| 209 | REAL(wp) :: zst , zft , zcks , zckf , zaksp1 |
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| 210 | !!--------------------------------------------------------------------- |
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| 211 | |
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| 212 | ! CHEMICAL CONSTANTS - SURFACE LAYER |
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| 213 | ! ---------------------------------- |
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| 214 | !CDIR NOVERRCHK |
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| 215 | DO jj = 1, jpj |
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| 216 | !CDIR NOVERRCHK |
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| 217 | DO ji = 1, jpi |
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| 218 | |
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| 219 | ! ! SET ABSOLUTE TEMPERATURE |
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| 220 | ztkel = tn(ji,jj,1) + 273.16 |
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| 221 | zqtt = ztkel * 0.01 |
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| 222 | zqtt2 = zqtt * zqtt |
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| 223 | zsal = sn(ji,jj,1) + (1.- tmask(ji,jj,1) ) * 35. |
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| 224 | zlqtt = LOG( zqtt ) |
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| 225 | |
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| 226 | ! ! LN(K0) OF SOLUBILITY OF CO2 (EQ. 12, WEISS, 1980) |
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| 227 | ! ! AND FOR THE ATMOSPHERE FOR NON IDEAL GAS |
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| 228 | zcek1 = ca0 + ca1 / zqtt + ca2 * zlqtt + ca3 * zqtt2 + zsal*( ca4 + ca5 * zqtt + ca6 * zqtt2 ) |
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| 229 | |
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| 230 | ! ! LN(K0) OF SOLUBILITY OF O2 and N2 (EQ. 4, WEISS, 1970) |
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| 231 | zoxy = ox0 + ox1 / zqtt + ox2 * zlqtt + zsal * ( ox3 + ox4 * zqtt + ox5 * zqtt2 ) |
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| 232 | |
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| 233 | ! ! SET SOLUBILITIES OF O2 AND CO2 |
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| 234 | chemc(ji,jj,1) = EXP( zcek1 ) * 1.e-6 * rhop(ji,jj,1) / 1000. |
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| 235 | chemc(ji,jj,2) = EXP( zoxy ) * oxyco |
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| 236 | |
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| 237 | END DO |
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| 238 | END DO |
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| 239 | |
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| 240 | ! CHEMICAL CONSTANTS - DEEP OCEAN |
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| 241 | ! ------------------------------- |
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| 242 | !CDIR NOVERRCHK |
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| 243 | DO jk = 1, jpk |
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| 244 | !CDIR NOVERRCHK |
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| 245 | DO jj = 1, jpj |
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| 246 | !CDIR NOVERRCHK |
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| 247 | DO ji = 1, jpi |
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| 248 | |
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| 249 | ! SET PRESSION |
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| 250 | zpres = 1.025e-1 * fsdept(ji,jj,jk) |
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| 251 | |
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| 252 | ! SET ABSOLUTE TEMPERATURE |
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| 253 | ztkel = tn(ji,jj,jk) + 273.16 |
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| 254 | zqtt = ztkel * 0.01 |
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| 255 | zsal = sn(ji,jj,jk) + ( 1.-tmask(ji,jj,jk) ) * 35. |
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| 256 | zsqrt = SQRT( zsal ) |
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| 257 | zsal15 = zsqrt * zsal |
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| 258 | zlogt = LOG( ztkel ) |
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| 259 | ztr = 1. / ztkel |
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| 260 | zis = 19.924 * zsal / ( 1000.- 1.005 * zsal ) |
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| 261 | zis2 = zis * zis |
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| 262 | zisqrt = SQRT( zis ) |
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| 263 | ztc = tn(ji,jj,jk) + ( 1.- tmask(ji,jj,jk) ) * 20. |
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| 264 | |
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| 265 | ! CHLORINITY (WOOSTER ET AL., 1969) |
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| 266 | zcl = zsal * salchl |
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| 267 | |
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| 268 | ! TOTAL SULFATE CONCENTR. [MOLES/kg soln] |
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| 269 | zst = st1 * zcl * st2 |
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| 270 | |
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| 271 | ! TOTAL FLUORIDE CONCENTR. [MOLES/kg soln] |
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| 272 | zft = ft1 * zcl * ft2 |
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| 273 | |
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| 274 | ! DISSOCIATION CONSTANT FOR SULFATES on free H scale (Dickson 1990) |
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| 275 | zcks = EXP( ks1 * ztr + ks0 + ks2 * zlogt & |
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| 276 | & + ( ks3 * ztr + ks4 + ks5 * zlogt ) * zisqrt & |
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| 277 | & + ( ks6 * ztr + ks7 + ks8 * zlogt ) * zis & |
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| 278 | & + ks9 * ztr * zis * zisqrt + ks10 * ztr *zis2 + LOG( ks11 + ks12 *zsal ) ) |
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| 279 | |
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| 280 | ! DISSOCIATION CONSTANT FOR FLUORIDES on free H scale (Dickson and Riley 79) |
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| 281 | zckf = EXP( kf1 * ztr + kf0 + kf2 * zisqrt + LOG( kf3 + kf4 * zsal ) ) |
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| 282 | |
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| 283 | ! DISSOCIATION CONSTANT FOR CARBONATE AND BORATE |
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| 284 | zckb = ( cb0 + cb1 * zsqrt + cb2 * zsal + cb3 * zsal15 + cb4 * zsal * zsal ) * ztr & |
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| 285 | & + ( cb5 + cb6 * zsqrt + cb7 * zsal ) & |
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| 286 | & + ( cb8 + cb9 * zsqrt + cb10 * zsal ) * zlogt + cb11 * zsqrt * ztkel & |
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| 287 | & + LOG( ( 1.+ zst / zcks + zft / zckf ) / ( 1.+ zst / zcks ) ) |
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| 288 | !!gm zsal**2 to be replaced by a *... |
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| 289 | zck1 = c10 * ztr + c11 + c12 * zlogt + c13 * zsal + c14 * zsal**2 |
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| 290 | zck2 = c20 * ztr + c21 + c22 * zsal + c23 * zsal**2 |
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| 291 | |
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| 292 | ! PKW (H2O) (DICKSON AND RILEY, 1979) |
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| 293 | zckw = cw0 * ztr + cw1 + cw2 * zlogt + ( cw3 * ztr + cw4 + cw5 * zlogt ) * zsqrt + cw6 * zsal |
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| 294 | |
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| 295 | |
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| 296 | ! APPARENT SOLUBILITY PRODUCT K'SP OF CALCITE IN SEAWATER |
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| 297 | ! (S=27-43, T=2-25 DEG C) at pres =0 (atmos. pressure) (MUCCI 1983) |
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| 298 | zaksp0 = akcc1 + akcc2 * ztkel + akcc3 * ztr + akcc4 * LOG10( ztkel ) & |
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| 299 | & + ( akcc5 + akcc6 * ztkel + akcc7 * ztr ) * zsqrt + akcc8 * zsal + akcc9 * zsal15 |
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| 300 | |
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| 301 | ! K1, K2 OF CARBONIC ACID, KB OF BORIC ACID, KW (H2O) (LIT.?) |
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| 302 | zak1 = 10**(zck1) |
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| 303 | zak2 = 10**(zck2) |
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| 304 | zakb = EXP( zckb ) |
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| 305 | zakw = EXP( zckw ) |
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| 306 | zaksp1 = 10**(zaksp0) |
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| 307 | |
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| 308 | ! FORMULA FOR CPEXP AFTER EDMOND & GIESKES (1970) |
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| 309 | ! (REFERENCE TO CULBERSON & PYTKOQICZ (1968) AS MADE |
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| 310 | ! IN BROECKER ET AL. (1982) IS INCORRECT; HERE RGAS IS |
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| 311 | ! TAKEN TENFOLD TO CORRECT FOR THE NOTATION OF pres IN |
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| 312 | ! DBAR INSTEAD OF BAR AND THE EXPRESSION FOR CPEXP IS |
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| 313 | ! MULTIPLIED BY LN(10.) TO ALLOW USE OF EXP-FUNCTION |
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| 314 | ! WITH BASIS E IN THE FORMULA FOR AKSPP (CF. EDMOND |
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| 315 | ! & GIESKES (1970), P. 1285-1286 (THE SMALL |
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| 316 | ! FORMULA ON P. 1286 IS RIGHT AND CONSISTENT WITH THE |
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| 317 | ! SIGN IN PARTIAL MOLAR VOLUME CHANGE AS SHOWN ON P. 1285)) |
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| 318 | zcpexp = zpres /(rgas*ztkel) |
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| 319 | zcpexp2 = zpres * zpres/(rgas*ztkel) |
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| 320 | |
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| 321 | ! KB OF BORIC ACID, K1,K2 OF CARBONIC ACID PRESSURE |
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| 322 | ! CORRECTION AFTER CULBERSON AND PYTKOWICZ (1968) |
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| 323 | ! (CF. BROECKER ET AL., 1982) |
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| 324 | |
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| 325 | zbuf1 = -(devk1(1)+devk2(1)*ztc+devk3(1)*ztc*ztc) |
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| 326 | zbuf2 = 0.5*(devk4(1)+devk5(1)*ztc) |
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| 327 | ak13(ji,jj,jk) = zak1 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 328 | |
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| 329 | zbuf1 = - ( devk1(2) + devk2(2) * ztc + devk3(2) * ztc * ztc ) |
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| 330 | zbuf2 = 0.5 * ( devk4(2) + devk5(2) * ztc ) |
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| 331 | ak23(ji,jj,jk) = zak2 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 332 | |
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| 333 | zbuf1 = - ( devk1(3) + devk2(3) * ztc + devk3(3) * ztc * ztc ) |
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| 334 | zbuf2 = 0.5 * ( devk4(3) + devk5(3) * ztc ) |
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| 335 | akb3(ji,jj,jk) = zakb * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 336 | |
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| 337 | zbuf1 = - ( devk1(4) + devk2(4) * ztc + devk3(4) * ztc * ztc ) |
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| 338 | zbuf2 = 0.5 * ( devk4(4) + devk5(4) * ztc ) |
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| 339 | akw3(ji,jj,jk) = zakw * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 340 | |
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| 341 | |
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| 342 | ! APPARENT SOLUBILITY PRODUCT K'SP OF CALCITE |
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| 343 | ! AS FUNCTION OF PRESSURE FOLLOWING MILLERO |
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| 344 | ! (P. 1285) AND BERNER (1976) |
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| 345 | zbuf1 = - ( devk1(5) + devk2(5) * ztc + devk3(5) * ztc * ztc ) |
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| 346 | zbuf2 = 0.5 * ( devk4(5) + devk5(5) * ztc ) |
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| 347 | aksp(ji,jj,jk) = zaksp1 * EXP( zbuf1 * zcpexp + zbuf2 * zcpexp2 ) |
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| 348 | |
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| 349 | |
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| 350 | ! TOTAL BORATE CONCENTR. [MOLES/L] |
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| 351 | borat(ji,jj,jk) = bor1 * zcl * bor2 |
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| 352 | |
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| 353 | ! Iron and SIO3 saturation concentration from ... |
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| 354 | sio3eq(ji,jj,jk) = EXP( LOG( 10.) * ( 6.44 - 968. / ztkel ) ) * 1.e-6 |
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| 355 | fekeq (ji,jj,jk) = 10**( 17.27 - 1565.7 / ( 273.15 + ztc ) ) |
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| 356 | |
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| 357 | END DO |
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| 358 | END DO |
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| 359 | END DO |
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| 360 | ! |
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| 361 | END SUBROUTINE p4z_che |
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| 362 | |
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| 363 | #else |
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| 364 | !!====================================================================== |
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| 365 | !! Dummy module : No PISCES bio-model |
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| 366 | !!====================================================================== |
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| 367 | CONTAINS |
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| 368 | SUBROUTINE p4z_che( kt ) ! Empty routine |
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| 369 | INTEGER, INTENT( in ) :: kt |
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| 370 | WRITE(*,*) 'p4z_che: You should not have seen this print! error?', kt |
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| 371 | END SUBROUTINE p4z_che |
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| 372 | #endif |
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| 373 | |
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| 374 | !!====================================================================== |
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| 375 | END MODULE p4zche |
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