| 1 | ! |
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| 2 | ! $Id: sulfate_aer_mod.F90 3798 2021-01-11 22:24:08Z aclsce $ |
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| 3 | ! |
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| 4 | MODULE sulfate_aer_mod |
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| 5 | |
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| 6 | ! microphysical routines based on UPMC aerosol model by Slimane Bekki |
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| 7 | ! adapted for stratospheric sulfate aerosol in LMDZ by Christoph Kleinschmitt |
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| 8 | |
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| 9 | CONTAINS |
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| 10 | |
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| 11 | !******************************************************************** |
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| 12 | SUBROUTINE STRACOMP(sh,t_seri,pplay) |
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| 13 | |
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| 14 | ! AEROSOL H2SO4 WEIGHT FRACTION AS A FUNCTION OF PH2O AND TEMPERATURE |
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| 15 | ! ---------------------------------------------------------------- |
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| 16 | ! INPUT: |
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| 17 | ! H2O: VMR of H2O |
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| 18 | ! t_seri: temperature (K) |
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| 19 | ! PMB: pressure (mb) |
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| 20 | ! klon: number of latitude bands in the model domain |
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| 21 | ! klev: number of altitude bands in the model domain |
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| 22 | ! for IFS: perhaps add another dimension for longitude |
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| 23 | ! |
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| 24 | ! OUTPUT: |
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| 25 | ! R2SO4: aerosol H2SO4 weight fraction (percent) |
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| 26 | |
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| 27 | USE dimphy, ONLY : klon,klev |
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| 28 | USE aerophys |
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| 29 | USE phys_local_var_mod, ONLY: R2SO4 |
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| 30 | |
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| 31 | IMPLICIT NONE |
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| 32 | |
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| 33 | REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature |
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| 34 | REAL,DIMENSION(klon,klev),INTENT(IN) :: pplay ! pression pour le mileu de chaque couche (en Pa) |
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| 35 | REAL,DIMENSION(klon,klev),INTENT(IN) :: sh ! humidite specifique |
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| 36 | |
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| 37 | REAL PMB(klon,klev), H2O(klon,klev) |
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| 38 | ! |
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| 39 | ! working variables |
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| 40 | INTEGER I,J,K |
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| 41 | REAL TP, PH2O, VAL, A, B |
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| 42 | ! local variables to be saved on exit |
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| 43 | INTEGER INSTEP |
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| 44 | INTEGER, PARAMETER :: N=16, M=28 |
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| 45 | DATA INSTEP/0/ |
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| 46 | REAL F(N,M) |
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| 47 | REAL XC(N) |
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| 48 | REAL YC(M) |
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| 49 | REAL XC1, XC16, YC1, YC28 |
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| 50 | ! |
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| 51 | SAVE INSTEP,F,XC,YC,XC1,XC16,YC1,YC28 |
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| 52 | !$OMP THREADPRIVATE(INSTEP,F,XC,YC,XC1,XC16,YC1,YC28) |
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| 53 | |
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| 54 | ! convert pplay (in Pa) to PMB (in mb) |
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| 55 | PMB(:,:)=pplay(:,:)/100.0 |
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| 56 | |
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| 57 | ! convert specific humidity sh (in kg/kg) to VMR H2O |
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| 58 | H2O(:,:)=sh(:,:)*mAIRmol/mH2Omol |
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| 59 | |
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| 60 | IF(INSTEP.EQ.0) THEN |
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| 61 | |
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| 62 | INSTEP=1 |
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| 63 | XC(1)=0.01 |
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| 64 | XC(2)=0.1 |
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| 65 | XC(3)=0.5 |
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| 66 | XC(4)=1.0 |
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| 67 | XC(5)=1.5 |
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| 68 | XC(6)=2.0 |
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| 69 | XC(7)=3.0 |
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| 70 | XC(8)=5.0 |
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| 71 | XC(9)=6.0 |
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| 72 | XC(10)=8.0 |
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| 73 | XC(11)=10.0 |
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| 74 | XC(12)=12.0 |
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| 75 | XC(13)=15.0 |
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| 76 | XC(14)=20.0 |
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| 77 | XC(15)=30.0 |
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| 78 | XC(16)=100.0 |
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| 79 | ! |
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| 80 | YC(1)=175.0 |
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| 81 | DO I=2,28 |
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| 82 | YC(I)=YC(I-1)+5.0 |
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| 83 | ENDDO |
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| 84 | |
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| 85 | ! CONVERSION mb IN 1.0E-4mB |
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| 86 | DO I=1,16 |
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| 87 | XC(I)=XC(I)*1.0E-4 |
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| 88 | ENDDO |
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| 89 | ! |
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| 90 | XC1=XC(1)+1.E-10 |
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| 91 | XC16=XC(16)-1.E-8 |
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| 92 | YC1=YC(1)+1.E-5 |
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| 93 | YC28=YC(28)-1.E-5 |
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| 94 | |
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| 95 | F(6,4)=43.45 |
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| 96 | F(6,5)=53.96 |
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| 97 | F(6,6)=60.62 |
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| 98 | F(6,7)=65.57 |
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| 99 | F(6,8)=69.42 |
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| 100 | F(6,9)=72.56 |
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| 101 | F(6,10)=75.17 |
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| 102 | F(6,11)=77.38 |
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| 103 | F(6,12)=79.3 |
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| 104 | F(6,13)=80.99 |
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| 105 | F(6,14)=82.5 |
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| 106 | F(6,15)=83.92 |
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| 107 | F(6,16)=85.32 |
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| 108 | F(6,17)=86.79 |
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| 109 | F(6,18)=88.32 |
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| 110 | ! |
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| 111 | ! ADD FACTOR BECAUSE THE SLOP IS TOO IMPORTANT |
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| 112 | ! NOT FOR THIS ONE BUT THE REST |
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| 113 | ! LOG DOESN'T WORK |
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| 114 | A=(F(6,5)-F(6,4))/( (YC(5)-YC(4))*2.0) |
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| 115 | B=-A*YC(4) + F(6,4) |
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| 116 | F(6,1)=A*YC(1) + B |
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| 117 | F(6,2)=A*YC(2) + B |
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| 118 | F(6,3)=A*YC(3) + B |
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| 119 | ! |
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| 120 | F(7,4)=37.02 |
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| 121 | F(7,5)=49.46 |
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| 122 | F(7,6)=57.51 |
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| 123 | F(7,7)=63.12 |
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| 124 | F(7,8)=67.42 |
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| 125 | F(7,9)=70.85 |
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| 126 | F(7,10)=73.70 |
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| 127 | F(7,11)=76.09 |
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| 128 | F(7,12)=78.15 |
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| 129 | F(7,13)=79.96 |
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| 130 | F(7,14)=81.56 |
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| 131 | F(7,15)=83.02 |
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| 132 | F(7,16)=84.43 |
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| 133 | F(7,17)=85.85 |
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| 134 | F(7,18)=87.33 |
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| 135 | ! |
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| 136 | A=(F(7,5)-F(7,4))/( (YC(5)-YC(4))*2.0) |
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| 137 | B=-A*YC(4) + F(7,4) |
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| 138 | F(7,1)=A*YC(1) + B |
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| 139 | F(7,2)=A*YC(2) + B |
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| 140 | F(7,3)=A*YC(3) + B |
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| 141 | ! |
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| 142 | F(8,4)=25.85 |
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| 143 | F(8,5)=42.26 |
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| 144 | F(8,6)=52.78 |
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| 145 | F(8,7)=59.55 |
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| 146 | F(8,8)=64.55 |
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| 147 | F(8,9)=68.45 |
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| 148 | F(8,10)=71.63 |
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| 149 | F(8,11)=74.29 |
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| 150 | F(8,12)=76.56 |
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| 151 | F(8,13)=78.53 |
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| 152 | F(8,14)=80.27 |
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| 153 | F(8,15)=81.83 |
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| 154 | F(8,16)=83.27 |
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| 155 | F(8,17)=84.67 |
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| 156 | F(8,18)=86.10 |
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| 157 | ! |
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| 158 | A=(F(8,5)-F(8,4))/( (YC(5)-YC(4))*2.5 ) |
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| 159 | B=-A*YC(4) + F(8,4) |
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| 160 | F(8,1)=A*YC(1) + B |
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| 161 | F(8,2)=A*YC(2) + B |
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| 162 | F(8,3)=A*YC(3) + B |
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| 163 | ! |
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| 164 | F(9,4)=15.38 |
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| 165 | F(9,5)=39.35 |
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| 166 | F(9,6)=50.73 |
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| 167 | F(9,7)=58.11 |
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| 168 | F(9,8)=63.41 |
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| 169 | F(9,9)=67.52 |
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| 170 | F(9,10)=70.83 |
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| 171 | F(9,11)=73.6 |
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| 172 | F(9,12)=75.95 |
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| 173 | F(9,13)=77.98 |
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| 174 | F(9,14)=79.77 |
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| 175 | F(9,15)=81.38 |
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| 176 | F(9,16)=82.84 |
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| 177 | F(9,17)=84.25 |
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| 178 | F(9,18)=85.66 |
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| 179 | ! |
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| 180 | A=(F(9,5)-F(9,4))/( (YC(5)-YC(4))*7.0) |
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| 181 | B=-A*YC(4) + F(9,4) |
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| 182 | F(9,1)=A*YC(1) + B |
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| 183 | F(9,2)=A*YC(2) + B |
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| 184 | F(9,3)=A*YC(3) + B |
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| 185 | ! |
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| 186 | F(10,4)=0.0 |
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| 187 | F(10,5)=34.02 |
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| 188 | F(10,6)=46.93 |
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| 189 | F(10,7)=55.61 |
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| 190 | F(10,8)=61.47 |
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| 191 | F(10,9)=65.94 |
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| 192 | F(10,10)=69.49 |
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| 193 | F(10,11)=72.44 |
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| 194 | F(10,12)=74.93 |
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| 195 | F(10,13)=77.08 |
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| 196 | F(10,14)=78.96 |
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| 197 | F(10,15)=80.63 |
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| 198 | F(10,16)=82.15 |
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| 199 | F(10,17)=83.57 |
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| 200 | F(10,18)=84.97 |
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| 201 | ! |
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| 202 | A=(F(10,6)-F(10,5))/( (YC(6)-YC(5))*1.5) |
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| 203 | B=-A*YC(5) + F(10,5) |
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| 204 | F(10,1)=A*YC(1) + B |
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| 205 | F(10,2)=A*YC(2) + B |
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| 206 | F(10,3)=A*YC(3) + B |
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| 207 | F(10,4)=A*YC(4) + B |
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| 208 | ! |
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| 209 | F(11,4)=0.0 |
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| 210 | F(11,5)=29.02 |
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| 211 | F(11,6)=43.69 |
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| 212 | F(11,7)=53.44 |
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| 213 | F(11,8)=59.83 |
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| 214 | F(11,9)=64.62 |
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| 215 | F(11,10)=68.39 |
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| 216 | F(11,11)=71.48 |
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| 217 | F(11,12)=74.10 |
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| 218 | F(11,13)=76.33 |
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| 219 | F(11,14)=78.29 |
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| 220 | F(11,15)=80.02 |
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| 221 | F(11,16)=81.58 |
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| 222 | F(11,17)=83.03 |
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| 223 | F(11,18)=84.44 |
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| 224 | ! |
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| 225 | A=(F(11,6)-F(11,5))/( (YC(6)-YC(5))*2.5 ) |
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| 226 | B=-A*YC(5) + F(11,5) |
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| 227 | F(11,1)=A*YC(1) + B |
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| 228 | F(11,2)=A*YC(2) + B |
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| 229 | F(11,3)=A*YC(3) + B |
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| 230 | F(11,4)=A*YC(4) + B |
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| 231 | ! |
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| 232 | F(12,4)=0.0 |
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| 233 | F(12,5)=23.13 |
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| 234 | F(12,6)=40.86 |
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| 235 | F(12,7)=51.44 |
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| 236 | F(12,8)=58.38 |
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| 237 | F(12,9)=63.47 |
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| 238 | F(12,10)=67.43 |
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| 239 | F(12,11)=70.66 |
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| 240 | F(12,12)=73.38 |
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| 241 | F(12,13)=75.70 |
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| 242 | F(12,14)=77.72 |
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| 243 | F(12,15)=79.51 |
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| 244 | F(12,16)=81.11 |
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| 245 | F(12,17)=82.58 |
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| 246 | F(12,18)=83.99 |
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| 247 | ! |
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| 248 | A=(F(12,6)-F(12,5))/( (YC(6)-YC(5))*3.5 ) |
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| 249 | B=-A*YC(5) + F(12,5) |
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| 250 | F(12,1)=A*YC(1) + B |
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| 251 | F(12,2)=A*YC(2) + B |
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| 252 | F(12,3)=A*YC(3) + B |
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| 253 | F(12,4)=A*YC(4) + B |
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| 254 | ! |
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| 255 | F(13,4)=0.0 |
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| 256 | F(13,5)=0.0 |
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| 257 | F(13,6)=36.89 |
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| 258 | F(13,7)=48.63 |
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| 259 | F(13,8)=56.46 |
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| 260 | F(13,9)=61.96 |
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| 261 | F(13,10)=66.19 |
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| 262 | F(13,11)=69.6 |
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| 263 | F(13,12)=72.45 |
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| 264 | F(13,13)=74.89 |
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| 265 | F(13,14)=76.99 |
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| 266 | F(13,15)=78.85 |
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| 267 | F(13,16)=80.50 |
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| 268 | F(13,17)=82.02 |
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| 269 | F(13,18)=83.44 |
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| 270 | ! |
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| 271 | A=(F(13,7)-F(13,6))/( (YC(7)-YC(6))*2.0) |
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| 272 | B=-A*YC(6) + F(13,6) |
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| 273 | F(13,1)=A*YC(1) + B |
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| 274 | F(13,2)=A*YC(2) + B |
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| 275 | F(13,3)=A*YC(3) + B |
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| 276 | F(13,4)=A*YC(4) + B |
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| 277 | F(13,5)=A*YC(5) + B |
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| 278 | ! |
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| 279 | F(14,4)=0.0 |
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| 280 | F(14,5)=0.0 |
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| 281 | F(14,6)=30.82 |
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| 282 | F(14,7)=44.49 |
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| 283 | F(14,8)=53.69 |
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| 284 | F(14,9)=59.83 |
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| 285 | F(14,10)=64.47 |
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| 286 | F(14,11)=68.15 |
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| 287 | F(14,12)=71.19 |
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| 288 | F(14,13)=73.77 |
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| 289 | F(14,14)=76.0 |
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| 290 | F(14,15)=77.95 |
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| 291 | F(14,16)=79.69 |
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| 292 | F(14,17)=81.26 |
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| 293 | F(14,18)=82.72 |
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| 294 | ! |
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| 295 | A=(F(14,7)-F(14,6))/( (YC(7)-YC(6))*2.5 ) |
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| 296 | B=-A*YC(6) + F(14,6) |
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| 297 | F(14,1)=A*YC(1) + B |
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| 298 | F(14,2)=A*YC(2) + B |
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| 299 | F(14,3)=A*YC(3) + B |
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| 300 | F(14,4)=A*YC(4) + B |
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| 301 | F(14,5)=A*YC(5) + B |
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| 302 | ! |
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| 303 | F(15,4)=0.0 |
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| 304 | F(15,5)=0.0 |
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| 305 | F(15,6)=0.0 |
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| 306 | F(15,7)=37.71 |
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| 307 | F(15,8)=48.49 |
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| 308 | F(15,9)=56.40 |
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| 309 | F(15,10)=61.75 |
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| 310 | F(15,11)=65.89 |
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| 311 | F(15,12)=69.25 |
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| 312 | F(15,13)=72.07 |
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| 313 | F(15,14)=74.49 |
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| 314 | F(15,15)=76.59 |
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| 315 | F(15,16)=78.45 |
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| 316 | F(15,17)=80.12 |
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| 317 | F(15,18)=81.64 |
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| 318 | ! |
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| 319 | A=(F(15,8)-F(15,7))/( (YC(8)-YC(7))*1.5) |
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| 320 | B=-A*YC(7) + F(15,7) |
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| 321 | F(15,1)=A*YC(1) + B |
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| 322 | F(15,2)=A*YC(2) + B |
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| 323 | F(15,3)=A*YC(3) + B |
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| 324 | F(15,4)=A*YC(4) + B |
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| 325 | F(15,5)=A*YC(5) + B |
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| 326 | F(15,6)=A*YC(6) + B |
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| 327 | |
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| 328 | ! SUPPOSE THAT AT GIVEN AND PH2O<2mB, |
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| 329 | ! %H2SO4 = A *LOG(PH2O) +B |
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| 330 | ! XC(1-5) :EXTENSION LEFT (LOW H2O) |
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| 331 | DO J=1,18 |
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| 332 | A=(F(6,J)-F(7,J))/(LOG(XC(6))-LOG(XC(7))) |
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| 333 | B=-A*LOG(XC(6)) + F(6,J) |
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| 334 | DO K=1,5 |
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| 335 | F(K,J)=A*LOG(XC(K)) + B |
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| 336 | ENDDO |
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| 337 | ENDDO |
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| 338 | |
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| 339 | ! XC(16) :EXTENSION RIGHT (HIGH H2O) |
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| 340 | DO J=1,18 |
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| 341 | A=(F(15,J)-F(14,J))/(XC(15)-XC(14)) |
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| 342 | B=-A*XC(15) + F(15,J) |
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| 343 | F(16,J)=A*XC(16) + B |
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| 344 | ! F(16,2)=1.0 |
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| 345 | ENDDO |
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| 346 | |
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| 347 | ! YC(16-25) :EXTENSION DOWN (HIGH T) |
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| 348 | DO I=1,16 |
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| 349 | A=(F(I,18)-F(I,17))/(YC(18)-YC(17)) |
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| 350 | B=-A*YC(18) + F(I,18) |
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| 351 | DO K=19,28 |
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| 352 | F(I,K)=A*YC(K) + B |
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| 353 | ENDDO |
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| 354 | ENDDO |
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| 355 | |
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| 356 | ! MANUAL CORRECTIONS |
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| 357 | DO J=1,10 |
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| 358 | F(1,J)=94.0 |
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| 359 | ENDDO |
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| 360 | |
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| 361 | DO J=1,6 |
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| 362 | F(2,J)=77.0 +REAL(J) |
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| 363 | ENDDO |
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| 364 | |
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| 365 | DO J=1,7 |
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| 366 | F(16,J)=9.0 |
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| 367 | ENDDO |
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| 368 | |
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| 369 | DO I=1,16 |
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| 370 | DO J=1,28 |
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| 371 | IF (F(I,J).LT.9.0) F(I,J)=30.0 |
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| 372 | IF (F(I,J).GT.99.99) F(I,J)=99.99 |
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| 373 | ENDDO |
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| 374 | ENDDO |
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| 375 | |
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| 376 | ENDIF |
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| 377 | |
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| 378 | DO I=1,klon |
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| 379 | DO J=1,klev |
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| 380 | TP=t_seri(I,J) |
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| 381 | IF (TP.LT.175.1) TP=175.1 |
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| 382 | ! Partial pressure of H2O (mb) |
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| 383 | PH2O =PMB(I,J)*H2O(I,J) |
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| 384 | IF (PH2O.LT.XC1) THEN |
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| 385 | R2SO4(I,J)=99.99 |
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| 386 | ! PH2O=XC(1)+1.0E-10 |
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| 387 | ELSE |
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| 388 | IF (PH2O.GT.XC16) PH2O=XC16 |
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| 389 | ! SIMPLE LINEAR INTERPOLATIONS |
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| 390 | CALL FIND(PH2O,TP,XC,YC,F,VAL,N,M) |
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| 391 | IF (PMB(I,J).GE.10.0.AND.VAL.LT.60.0) VAL=60.0 |
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| 392 | R2SO4(I,J)=VAL |
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| 393 | ENDIF |
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| 394 | ENDDO |
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| 395 | ENDDO |
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| 396 | |
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| 397 | END SUBROUTINE |
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| 398 | |
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| 399 | !**************************************************************** |
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| 400 | SUBROUTINE STRAACT(ACTSO4) |
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| 401 | |
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| 402 | ! H2SO4 ACTIVITY (GIAUQUE) AS A FUNCTION OF H2SO4 WP |
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| 403 | ! ---------------------------------------- |
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| 404 | ! INPUT: |
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| 405 | ! H2SO4: VMR of H2SO4 |
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| 406 | ! klon: number of latitude bands in the model domain |
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| 407 | ! klev: number of altitude bands in the model domain |
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| 408 | ! for IFS: perhaps add another dimension for longitude |
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| 409 | ! |
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| 410 | ! OUTPUT: |
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| 411 | ! ACTSO4: H2SO4 activity (percent) |
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| 412 | |
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| 413 | USE dimphy, ONLY : klon,klev |
|---|
| 414 | USE phys_local_var_mod, ONLY: R2SO4 |
|---|
| 415 | |
|---|
| 416 | IMPLICIT NONE |
|---|
| 417 | |
|---|
| 418 | REAL ACTSO4(klon,klev) |
|---|
| 419 | |
|---|
| 420 | ! Working variables |
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| 421 | INTEGER NN,I,J,JX,JX1 |
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| 422 | REAL TC,TB,TA,XT |
|---|
| 423 | PARAMETER (NN=109) |
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| 424 | REAL XC(NN), X(NN) |
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| 425 | |
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| 426 | ! H2SO4 activity |
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| 427 | DATA X/ & |
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| 428 | & 0.0,0.25,0.78,1.437,2.19,3.07,4.03,5.04,6.08 & |
|---|
| 429 | & ,7.13,8.18,14.33,18.59,28.59,39.17,49.49 & |
|---|
| 430 | & ,102.4,157.8,215.7,276.9,341.6,409.8,481.5,556.6 & |
|---|
| 431 | & ,635.5,719.,808.,902.,1000.,1103.,1211.,1322.,1437.,1555. & |
|---|
| 432 | & ,1677.,1800.,1926.,2054.,2183.,2312.,2442.,2572.,2701.,2829. & |
|---|
| 433 | & ,2955.,3080.,3203.,3325.,3446.,3564.,3681.,3796.,3910.,4022. & |
|---|
| 434 | & ,4134.,4351.,4564.,4771.,4974.,5171.,5364.,5551.,5732.,5908. & |
|---|
| 435 | & ,6079.,6244.,6404.,6559.,6709.,6854.,6994.,7131.,7264.,7393. & |
|---|
| 436 | & ,7520.,7821.,8105.,8373.,8627.,8867.,9093.,9308.,9511.,9703. & |
|---|
| 437 | & ,9885.,10060.,10225.,10535.,10819.,11079.,11318.,11537. & |
|---|
| 438 | & ,11740.,12097.,12407.,12676.,12915.,13126.,13564.,13910. & |
|---|
| 439 | & ,14191.,14423.,14617.,14786.,10568.,15299.,15491.,15654. & |
|---|
| 440 | & ,15811./ |
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| 441 | ! H2SO4 weight fraction (percent) |
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| 442 | DATA XC/ & |
|---|
| 443 | & 100.0,99.982,99.963,99.945,99.927,99.908,99.890,99.872 & |
|---|
| 444 | & ,99.853,99.835,99.817,99.725,99.634,99.452,99.270 & |
|---|
| 445 | & ,99.090,98.196,97.319,96.457,95.610,94.777,93.959,93.156 & |
|---|
| 446 | & ,92.365,91.588,90.824,90.073,89.334,88.607,87.892,87.188 & |
|---|
| 447 | & ,86.495,85.814,85.143,84.482,83.832,83.191,82.560,81.939 & |
|---|
| 448 | & ,81.327,80.724,80.130,79.545,78.968,78.399,77.839,77.286 & |
|---|
| 449 | & ,76.741,76.204,75.675,75.152,74.637,74.129,73.628,73.133 & |
|---|
| 450 | & ,72.164,71.220,70.300,69.404,68.530,67.678,66.847,66.037 & |
|---|
| 451 | & ,65.245,64.472,63.718,62.981,62.261,61.557,60.868,60.195 & |
|---|
| 452 | & ,59.537,58.893,58.263,57.646,56.159,54.747,53.405,52.126 & |
|---|
| 453 | & ,50.908,49.745,48.634,47.572,46.555,45.580,44.646,43.749 & |
|---|
| 454 | & ,42.059,40.495,39.043,37.691,36.430,35.251,33.107,31.209 & |
|---|
| 455 | & ,29.517,27.999,26.629,23.728,21.397,19.482,17.882,16.525 & |
|---|
| 456 | & ,15.360,13.461,11.980,10.792,9.819,8.932/ |
|---|
| 457 | |
|---|
| 458 | DO I=1,klon |
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| 459 | DO J=1,klev |
|---|
| 460 | ! HERE LINEAR INTERPOLATIONS |
|---|
| 461 | XT=R2SO4(I,J) |
|---|
| 462 | CALL POSACT(XT,XC,NN,JX) |
|---|
| 463 | JX1=JX+1 |
|---|
| 464 | IF(JX.EQ.0) THEN |
|---|
| 465 | ACTSO4(I,J)=0.0 |
|---|
| 466 | ELSE IF(JX.GE.NN) THEN |
|---|
| 467 | ACTSO4(I,J)=15811.0 |
|---|
| 468 | ELSE |
|---|
| 469 | TC=XT -XC(JX) |
|---|
| 470 | TB=X(JX1) -X(JX) |
|---|
| 471 | TA=XC(JX1) -XC(JX) |
|---|
| 472 | TA=TB/TA |
|---|
| 473 | ACTSO4(I,J)=X(JX) + TA*TC |
|---|
| 474 | ENDIF |
|---|
| 475 | ENDDO |
|---|
| 476 | ENDDO |
|---|
| 477 | |
|---|
| 478 | END SUBROUTINE |
|---|
| 479 | |
|---|
| 480 | !**************************************************************** |
|---|
| 481 | SUBROUTINE DENH2SA(t_seri) |
|---|
| 482 | |
|---|
| 483 | ! AERSOL DENSITY AS A FUNCTION OF H2SO4 WEIGHT PERCENT AND T |
|---|
| 484 | ! --------------------------------------------- |
|---|
| 485 | ! VERY ROUGH APPROXIMATION (SEE FOR WATER IN HANDBOOK |
|---|
| 486 | ! LINEAR 2% FOR 30 DEGREES with RESPECT TO WATER) |
|---|
| 487 | ! |
|---|
| 488 | ! INPUT: |
|---|
| 489 | ! R2SO4: aerosol H2SO4 weight fraction (percent) |
|---|
| 490 | ! t_seri: temperature (K) |
|---|
| 491 | ! klon: number of latitude bands in the model domain |
|---|
| 492 | ! klev: number of altitude bands in the model domain |
|---|
| 493 | ! for IFS: perhaps add another dimension for longitude |
|---|
| 494 | ! |
|---|
| 495 | ! OUTPUT: |
|---|
| 496 | ! DENSO4: aerosol mass density (gr/cm3 = aerosol mass/aerosol volume) |
|---|
| 497 | ! |
|---|
| 498 | USE dimphy, ONLY : klon,klev |
|---|
| 499 | USE phys_local_var_mod, ONLY: R2SO4, DENSO4 |
|---|
| 500 | |
|---|
| 501 | IMPLICIT NONE |
|---|
| 502 | |
|---|
| 503 | REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature |
|---|
| 504 | |
|---|
| 505 | INTEGER I,J |
|---|
| 506 | |
|---|
| 507 | ! Loop on model domain (2 dimension for UPMC model; 3 for IFS) |
|---|
| 508 | DO I=1,klon |
|---|
| 509 | DO J=1,klev |
|---|
| 510 | ! RO AT 20C |
|---|
| 511 | DENSO4(I,J)=0.78681252E-5*R2SO4(I,J)*R2SO4(I,J)+ 0.82185978E-2*R2SO4(I,J)+0.97968381 |
|---|
| 512 | DENSO4(I,J)=DENSO4(I,J)* ( 1.0 - (t_seri(I,J)-293.0)*0.02/30.0 ) |
|---|
| 513 | ENDDO |
|---|
| 514 | ENDDO |
|---|
| 515 | |
|---|
| 516 | END SUBROUTINE |
|---|
| 517 | |
|---|
| 518 | !*********************************************************** |
|---|
| 519 | SUBROUTINE FIND(X,Y,XC,YC,F,VAL,N,M) |
|---|
| 520 | ! |
|---|
| 521 | ! BI-LINEAR INTERPOLATION |
|---|
| 522 | |
|---|
| 523 | ! INPUT: |
|---|
| 524 | ! X: Partial pressure of H2O (mb) |
|---|
| 525 | ! Y: temperature (K) |
|---|
| 526 | ! XC: Table partial pressure of H2O (mb) |
|---|
| 527 | ! YC: Table temperature (K) |
|---|
| 528 | ! F: Table aerosol H2SO4 weight fraction=f(XC,YC) (percent) |
|---|
| 529 | ! |
|---|
| 530 | ! OUTPUT: |
|---|
| 531 | ! VAL: aerosol H2SO4 weight fraction (percent) |
|---|
| 532 | |
|---|
| 533 | IMPLICIT NONE |
|---|
| 534 | |
|---|
| 535 | INTEGER N,M |
|---|
| 536 | REAL X,Y,XC(N),YC(M),F(N,M),VAL |
|---|
| 537 | ! |
|---|
| 538 | ! working variables |
|---|
| 539 | INTEGER IERX,IERY,JX,JY,JXP1,JYP1 |
|---|
| 540 | REAL SXY,SX1Y,SX1Y1,SXY1,TA,TB,T,UA,UB,U |
|---|
| 541 | |
|---|
| 542 | IERX=0 |
|---|
| 543 | IERY=0 |
|---|
| 544 | CALL POSITION(XC,X,N,JX,IERX) |
|---|
| 545 | CALL POSITION(YC,Y,M,JY,IERY) |
|---|
| 546 | |
|---|
| 547 | IF(JX.EQ.0.OR.IERY.EQ.1) THEN |
|---|
| 548 | VAL=99.99 |
|---|
| 549 | RETURN |
|---|
| 550 | ENDIF |
|---|
| 551 | |
|---|
| 552 | IF(JY.EQ.0.OR.IERX.EQ.1) THEN |
|---|
| 553 | VAL=9.0 |
|---|
| 554 | RETURN |
|---|
| 555 | ENDIF |
|---|
| 556 | |
|---|
| 557 | JXP1=JX+1 |
|---|
| 558 | JYP1=JY+1 |
|---|
| 559 | SXY=F(JX, JY ) |
|---|
| 560 | SX1Y=F(JXP1,JY ) |
|---|
| 561 | SX1Y1=F(JXP1,JYP1) |
|---|
| 562 | SXY1=F(JX, JYP1) |
|---|
| 563 | |
|---|
| 564 | ! x-slope. |
|---|
| 565 | TA=X -XC(JX) |
|---|
| 566 | TB=XC(JXP1)-XC(JX) |
|---|
| 567 | T=TA/TB |
|---|
| 568 | |
|---|
| 569 | ! y-slope. |
|---|
| 570 | UA=Y -YC(JY) |
|---|
| 571 | UB=YC(JYP1)-YC(JY) |
|---|
| 572 | U=UA/UB |
|---|
| 573 | |
|---|
| 574 | ! Use bilinear interpolation to determine function at point X,Y. |
|---|
| 575 | VAL=(1.-T)*(1.-U)*SXY + T*(1.0-U)*SX1Y + T*U*SX1Y1 + (1.0-T)*U*SXY1 |
|---|
| 576 | |
|---|
| 577 | IF(VAL.LT.9.0) VAL=9.0 |
|---|
| 578 | IF(VAL.GT.99.99) VAL=99.99 |
|---|
| 579 | |
|---|
| 580 | RETURN |
|---|
| 581 | END SUBROUTINE |
|---|
| 582 | !**************************************************************** |
|---|
| 583 | SUBROUTINE POSITION(XC,X,N,JX,IER) |
|---|
| 584 | |
|---|
| 585 | IMPLICIT NONE |
|---|
| 586 | |
|---|
| 587 | INTEGER N,JX,IER,I |
|---|
| 588 | REAL X,XC(N) |
|---|
| 589 | |
|---|
| 590 | IER=0 |
|---|
| 591 | IF(X.LT.XC(1)) THEN |
|---|
| 592 | JX=0 |
|---|
| 593 | ELSE |
|---|
| 594 | DO 10 I=1,N |
|---|
| 595 | IF (X.LT.XC(I)) GO TO 20 |
|---|
| 596 | 10 CONTINUE |
|---|
| 597 | IER=1 |
|---|
| 598 | 20 JX=I-1 |
|---|
| 599 | ENDIF |
|---|
| 600 | |
|---|
| 601 | RETURN |
|---|
| 602 | END SUBROUTINE |
|---|
| 603 | !******************************************************************** |
|---|
| 604 | SUBROUTINE POSACT(XT,X,N,JX) |
|---|
| 605 | |
|---|
| 606 | ! POSITION OF XT IN THE ARRAY X |
|---|
| 607 | ! ----------------------------------------------- |
|---|
| 608 | |
|---|
| 609 | IMPLICIT NONE |
|---|
| 610 | |
|---|
| 611 | INTEGER N |
|---|
| 612 | REAL XT,X(N) |
|---|
| 613 | ! Working variables |
|---|
| 614 | INTEGER JX,I |
|---|
| 615 | |
|---|
| 616 | IF(XT.GT.X(1)) THEN |
|---|
| 617 | JX=0 |
|---|
| 618 | ELSE |
|---|
| 619 | DO 10 I=1,N |
|---|
| 620 | IF (XT.GT.X(I)) GO TO 20 |
|---|
| 621 | 10 CONTINUE |
|---|
| 622 | 20 JX=I |
|---|
| 623 | ENDIF |
|---|
| 624 | |
|---|
| 625 | RETURN |
|---|
| 626 | END SUBROUTINE |
|---|
| 627 | |
|---|
| 628 | END MODULE sulfate_aer_mod |
|---|
