1 | MODULE traccoag_mod |
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2 | ! |
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3 | ! This module calculates the concentration of aerosol particles in certain size bins |
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4 | ! considering coagulation and sedimentation. |
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5 | ! |
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6 | CONTAINS |
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7 | |
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8 | SUBROUTINE traccoag(pdtphys, gmtime, debutphy, julien, & |
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9 | presnivs, xlat, xlon, pphis, pphi, & |
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10 | t_seri, pplay, paprs, sh, rh, tr_seri) |
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11 | |
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12 | USE phys_local_var_mod, ONLY: mdw, R2SO4, DENSO4, f_r_wet, surf_PM25_sulf, & |
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13 | & budg_emi_ocs, budg_emi_so2, budg_emi_h2so4, budg_emi_part, & |
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14 | & R2SO4B, DENSO4B, f_r_wetB, sulfmmr, SAD_sulfate, sulfmmr_mode, nd_mode |
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15 | |
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16 | USE dimphy |
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17 | USE infotrac_phy, ONLY : nbtr_bin, nbtr_sulgas, nbtr, id_SO2_strat |
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18 | USE aerophys |
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19 | USE geometry_mod, ONLY : cell_area, boundslat |
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20 | USE mod_grid_phy_lmdz |
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21 | USE mod_phys_lmdz_mpi_data, ONLY : is_mpi_root |
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22 | USE mod_phys_lmdz_para, only: gather, scatter |
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23 | USE phys_cal_mod, ONLY : year_len, year_cur, mth_cur, day_cur, hour |
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24 | USE sulfate_aer_mod |
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25 | USE phys_local_var_mod, ONLY: stratomask |
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26 | USE YOMCST |
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27 | USE print_control_mod, ONLY: lunout |
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28 | USE strataer_local_var_mod |
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29 | |
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30 | IMPLICIT NONE |
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31 | |
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32 | ! Input argument |
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33 | !--------------- |
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34 | REAL,INTENT(IN) :: pdtphys ! Pas d'integration pour la physique (seconde) |
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35 | REAL,INTENT(IN) :: gmtime ! Heure courante |
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36 | LOGICAL,INTENT(IN) :: debutphy ! le flag de l'initialisation de la physique |
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37 | INTEGER,INTENT(IN) :: julien ! Jour julien |
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38 | |
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39 | REAL,DIMENSION(klev),INTENT(IN) :: presnivs! pressions approximat. des milieux couches (en PA) |
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40 | REAL,DIMENSION(klon),INTENT(IN) :: xlat ! latitudes pour chaque point |
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41 | REAL,DIMENSION(klon),INTENT(IN) :: xlon ! longitudes pour chaque point |
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42 | REAL,DIMENSION(klon),INTENT(IN) :: pphis ! geopotentiel du sol |
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43 | REAL,DIMENSION(klon,klev),INTENT(IN) :: pphi ! geopotentiel de chaque couche |
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44 | |
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45 | REAL,DIMENSION(klon,klev),INTENT(IN) :: t_seri ! Temperature |
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46 | REAL,DIMENSION(klon,klev),INTENT(IN) :: pplay ! pression pour le mileu de chaque couche (en Pa) |
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47 | REAL,DIMENSION(klon,klev+1),INTENT(IN) :: paprs ! pression pour chaque inter-couche (en Pa) |
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48 | REAL,DIMENSION(klon,klev),INTENT(IN) :: sh ! humidite specifique |
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49 | REAL,DIMENSION(klon,klev),INTENT(IN) :: rh ! humidite relative |
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50 | |
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51 | ! Output argument |
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52 | !---------------- |
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53 | REAL,DIMENSION(klon,klev,nbtr),INTENT(INOUT) :: tr_seri ! Concentration Traceur [U/KgA] |
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54 | |
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55 | ! Local variables |
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56 | !---------------- |
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57 | REAL :: m_aer_emiss_vol_daily ! daily injection mass emission |
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58 | REAL :: m_aer ! aerosol mass |
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59 | INTEGER :: it, k, i, j, ilon, ilev, itime, i_int, ieru |
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60 | LOGICAL,DIMENSION(klon,klev) :: is_strato ! true = above tropopause, false = below |
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61 | REAL,DIMENSION(klon,klev) :: m_air_gridbox ! mass of air in every grid box [kg] |
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62 | REAL,DIMENSION(klon_glo,klev,nbtr) :: tr_seri_glo ! Concentration Traceur [U/KgA] |
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63 | REAL,DIMENSION(klev+1) :: altLMDz ! altitude of layer interfaces in m |
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64 | REAL,DIMENSION(klev) :: f_lay_emiss ! fraction of emission for every vertical layer |
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65 | REAL :: f_lay_sum ! sum of layer emission fractions |
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66 | REAL :: alt ! altitude for integral calculation |
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67 | INTEGER,PARAMETER :: n_int_alt=10 ! number of subintervals for integration over Gaussian emission profile |
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68 | REAL,DIMENSION(nbtr_bin) :: r_bin ! particle radius in size bin [m] |
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69 | REAL,DIMENSION(nbtr_bin) :: r_lower ! particle radius at lower bin boundary [m] |
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70 | REAL,DIMENSION(nbtr_bin) :: r_upper ! particle radius at upper bin boundary [m] |
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71 | REAL,DIMENSION(nbtr_bin) :: m_part_dry ! mass of one dry particle in size bin [kg] |
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72 | REAL :: zrho ! Density of air [kg/m3] |
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73 | REAL :: zdz ! thickness of atm. model layer in m |
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74 | REAL,DIMENSION(klev) :: zdm ! mass of atm. model layer in kg |
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75 | REAL,DIMENSION(klon,klev) :: dens_aer ! density of aerosol particles [kg/m3 aerosol] with default H2SO4 mass fraction |
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76 | REAL :: emission ! emission |
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77 | REAL :: theta_min, theta_max ! for SAI computation between two latitudes |
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78 | REAL :: dlat_loc |
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79 | REAL :: latmin,latmax,lonmin,lonmax ! lat/lon min/max for injection |
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80 | REAL :: sigma_alt, altemiss ! injection altitude + sigma for distrib |
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81 | REAL :: pdt,stretchlong ! physic timestep, stretch emission over one day |
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82 | |
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83 | INTEGER :: injdur_sai ! injection duration for SAI case [days] |
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84 | INTEGER :: yr, is_bissext |
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85 | |
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86 | IF (is_mpi_root .AND. flag_verbose_strataer) THEN |
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87 | WRITE(lunout,*) 'in traccoag: date from phys_cal_mod =',year_cur,'-',mth_cur,'-',day_cur,'-',hour |
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88 | WRITE(lunout,*) 'IN traccoag flag_emit: ',flag_emit |
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89 | ENDIF |
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90 | |
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91 | ! radius [m] |
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92 | DO it=1, nbtr_bin |
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93 | r_bin(it)=mdw(it)/2. |
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94 | ENDDO |
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95 | |
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96 | !--set boundaries of size bins |
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97 | DO it=1, nbtr_bin |
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98 | IF (it.EQ.1) THEN |
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99 | r_upper(it)=sqrt(r_bin(it+1)*r_bin(it)) |
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100 | r_lower(it)=r_bin(it)**2./r_upper(it) |
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101 | ELSEIF (it.EQ.nbtr_bin) THEN |
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102 | r_lower(it)=sqrt(r_bin(it)*r_bin(it-1)) |
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103 | r_upper(it)=r_bin(it)**2./r_lower(it) |
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104 | ELSE |
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105 | r_lower(it)=sqrt(r_bin(it)*r_bin(it-1)) |
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106 | r_upper(it)=sqrt(r_bin(it+1)*r_bin(it)) |
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107 | ENDIF |
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108 | ENDDO |
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109 | |
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110 | IF (debutphy .and. is_mpi_root) THEN |
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111 | DO it=1, nbtr_bin |
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112 | WRITE(lunout,*) 'radius bin', it, ':', r_bin(it), '(from', r_lower(it), 'to', r_upper(it), ')' |
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113 | ENDDO |
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114 | ENDIF |
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115 | |
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116 | !--initialising logical is_strato from stratomask |
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117 | is_strato(:,:)=.FALSE. |
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118 | WHERE (stratomask.GT.0.5) is_strato=.TRUE. |
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119 | |
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120 | IF(flag_new_strat_compo) THEN |
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121 | IF(debutphy) WRITE(lunout,*) 'traccoag: COMPO/DENSITY (Tabazadeh 97) + H2O kelvin effect', flag_new_strat_compo |
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122 | ! STRACOMP (H2O, P, t_seri, R -> R2SO4 + Kelvin effect) : Taba97, Socol, etc... |
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123 | CALL stracomp_kelvin(sh,t_seri,pplay) |
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124 | ELSE |
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125 | IF(debutphy) WRITE(lunout,*) 'traccoag: COMPO from Bekki 2D model', flag_new_strat_compo |
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126 | ! STRACOMP (H2O, P, t_seri -> aerosol composition (R2SO4)) |
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127 | ! H2SO4 mass fraction in aerosol (%) |
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128 | CALL stracomp(sh,t_seri,pplay) |
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129 | |
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130 | ! aerosol density (gr/cm3) |
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131 | CALL denh2sa(t_seri) |
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132 | |
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133 | ! compute factor for converting dry to wet radius (for every grid box) |
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134 | f_r_wet(:,:) = (dens_aer_dry/(DENSO4(:,:)*1000.)/(R2SO4(:,:)/100.))**(1./3.) |
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135 | ENDIF |
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136 | |
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137 | !--calculate mass of air in every grid box |
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138 | DO ilon=1, klon |
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139 | DO ilev=1, klev |
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140 | m_air_gridbox(ilon,ilev)=(paprs(ilon,ilev)-paprs(ilon,ilev+1))/RG*cell_area(ilon) |
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141 | ENDDO |
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142 | ENDDO |
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143 | |
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144 | !--initialise emission diagnostics |
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145 | if (nErupt > 0 .and. (flag_emit == 1 .or. flag_emit == 4)) budg_emi(:,1)=0.0 |
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146 | budg_emi_ocs(:)=0.0 |
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147 | budg_emi_so2(:)=0.0 |
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148 | budg_emi_h2so4(:)=0.0 |
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149 | budg_emi_part(:)=0.0 |
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150 | |
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151 | !--sulfur emission, depending on chosen scenario (flag_emit) |
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152 | SELECT CASE(flag_emit) |
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153 | |
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154 | CASE(0) ! background aerosol |
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155 | ! do nothing (no emission) |
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156 | |
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157 | CASE(1) ! volcanic eruption |
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158 | !--only emit on day of eruption |
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159 | ! stretch emission over one day of Pinatubo eruption |
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160 | DO ieru=1, nErupt |
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161 | IF (year_cur==year_emit_vol(ieru).AND.mth_cur==mth_emit_vol(ieru).AND.& |
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162 | day_cur>=day_emit_vol(ieru).AND.day_cur<(day_emit_vol(ieru)+injdur)) THEN |
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163 | |
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164 | ! daily injection mass emission |
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165 | m_aer=m_aer_emiss_vol(ieru,1)/(REAL(injdur)*REAL(ponde_lonlat_vol(ieru))) |
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166 | !emission as SO2 gas (with m(SO2)=64/32*m_aer_emiss) |
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167 | m_aer=m_aer*(mSO2mol/mSatom) |
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168 | |
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169 | WRITE(lunout,*) 'IN traccoag m_aer_emiss_vol(ieru)=',m_aer_emiss_vol(ieru,1), & |
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170 | 'ponde_lonlat_vol(ieru)=',ponde_lonlat_vol(ieru),'(injdur*ponde_lonlat_vol(ieru))', & |
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171 | (injdur*ponde_lonlat_vol(ieru)),'m_aer_emiss_vol_daily=',m_aer,'ieru=',ieru |
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172 | WRITE(lunout,*) 'IN traccoag, dlon=',dlon |
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173 | |
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174 | latmin=xlat_min_vol(ieru) |
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175 | latmax=xlat_max_vol(ieru) |
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176 | lonmin=xlon_min_vol(ieru) |
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177 | lonmax=xlon_max_vol(ieru) |
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178 | altemiss = altemiss_vol(ieru) |
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179 | sigma_alt = sigma_alt_vol(ieru) |
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180 | pdt=pdtphys |
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181 | ! stretch emission over one day of eruption |
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182 | stretchlong = 1. |
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183 | |
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184 | CALL STRATEMIT(pdtphys,pdt,xlat,xlon,t_seri,pplay,paprs,tr_seri,& |
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185 | m_aer,latmin,latmax,lonmin,lonmax,altemiss,sigma_alt,id_SO2_strat, & |
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186 | stretchlong,1,0) |
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187 | |
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188 | ENDIF ! emission period |
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189 | ENDDO ! eruption number |
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190 | |
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191 | CASE(2) ! stratospheric aerosol injections (SAI) |
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192 | ! |
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193 | ! Computing duration of SAI in days... |
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194 | ! ... starting from 0... |
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195 | injdur_sai = 0 |
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196 | ! ... then adding whole years from first to (n-1)th... |
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197 | DO yr = year_emit_sai_start, year_emit_sai_end-1 |
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198 | ! (n % 4 == 0) and (n % 100 != 0 or n % 400 == 0) |
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199 | is_bissext = (MOD(yr,4)==0) .AND. (MOD(yr,100) /= 0 .OR. MOD(yr,400) == 0) |
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200 | injdur_sai = injdur_sai+365+is_bissext |
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201 | ENDDO |
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202 | ! ... then subtracting part of the first year where no injection yet... |
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203 | is_bissext = (MOD(year_emit_sai_start,4)==0) .AND. (MOD(year_emit_sai_start,100) /= 0 .OR. MOD(year_emit_sai_start,400) == 0) |
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204 | SELECT CASE(mth_emit_sai_start) |
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205 | CASE(2) |
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206 | injdur_sai = injdur_sai-31 |
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207 | CASE(3) |
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208 | injdur_sai = injdur_sai-31-28-is_bissext |
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209 | CASE(4) |
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210 | injdur_sai = injdur_sai-31-28-is_bissext-31 |
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211 | CASE(5) |
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212 | injdur_sai = injdur_sai-31-28-is_bissext-31-30 |
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213 | CASE(6) |
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214 | injdur_sai = injdur_sai-31-28-is_bissext-31-30-31 |
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215 | CASE(7) |
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216 | injdur_sai = injdur_sai-31-28-is_bissext-31-30-31-30 |
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217 | CASE(8) |
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218 | injdur_sai = injdur_sai-31-28-is_bissext-31-30-31-30-31 |
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219 | CASE(9) |
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220 | injdur_sai = injdur_sai-31-28-is_bissext-31-30-31-30-31-31 |
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221 | CASE(10) |
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222 | injdur_sai = injdur_sai-31-28-is_bissext-31-30-31-30-31-31-30 |
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223 | CASE(11) |
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224 | injdur_sai = injdur_sai-31-28-is_bissext-31-30-31-30-31-31-30-31 |
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225 | CASE(12) |
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226 | injdur_sai = injdur_sai-31-28-is_bissext-31-30-31-30-31-31-30-31-30 |
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227 | END SELECT |
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228 | injdur_sai = injdur_sai-day_emit_sai_start+1 |
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229 | ! ... then adding part of the n-th year |
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230 | is_bissext = (MOD(year_emit_sai_end,4)==0) .AND. (MOD(year_emit_sai_end,100) /= 0 .OR. MOD(year_emit_sai_end,400) == 0) |
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231 | SELECT CASE(mth_emit_sai_end) |
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232 | CASE(2) |
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233 | injdur_sai = injdur_sai+31 |
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234 | CASE(3) |
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235 | injdur_sai = injdur_sai+31+28+is_bissext |
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236 | CASE(4) |
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237 | injdur_sai = injdur_sai+31+28+is_bissext+31 |
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238 | CASE(5) |
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239 | injdur_sai = injdur_sai+31+28+is_bissext+31+30 |
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240 | CASE(6) |
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241 | injdur_sai = injdur_sai+31+28+is_bissext+31+30+31 |
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242 | CASE(7) |
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243 | injdur_sai = injdur_sai+31+28+is_bissext+31+30+31+30 |
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244 | CASE(8) |
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245 | injdur_sai = injdur_sai+31+28+is_bissext+31+30+31+30+31 |
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246 | CASE(9) |
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247 | injdur_sai = injdur_sai+31+28+is_bissext+31+30+31+30+31+31 |
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248 | CASE(10) |
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249 | injdur_sai = injdur_sai+31+28+is_bissext+31+30+31+30+31+31+30 |
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250 | CASE(11) |
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251 | injdur_sai = injdur_sai+31+28+is_bissext+31+30+31+30+31+31+30+31 |
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252 | CASE(12) |
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253 | injdur_sai = injdur_sai+31+28+is_bissext+31+30+31+30+31+31+30+31+30 |
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254 | END SELECT |
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255 | injdur_sai = injdur_sai+day_emit_sai_end |
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256 | ! A security: are SAI dates of injection consistent? |
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257 | IF (injdur_sai <= 0) THEN |
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258 | CALL abort_physic('traccoag_mod', 'Pb in SAI dates of injection.',1) |
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259 | ENDIF |
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260 | ! Injection in itself |
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261 | IF (( year_emit_sai_start <= year_cur ) & |
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262 | .AND. ( year_cur <= year_emit_sai_end ) & |
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263 | .AND. ( mth_emit_sai_start <= mth_cur .OR. year_emit_sai_start < year_cur ) & |
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264 | .AND. ( mth_cur <= mth_emit_sai_end .OR. year_cur < year_emit_sai_end ) & |
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265 | .AND. ( day_emit_sai_start <= day_cur .OR. mth_emit_sai_start < mth_cur .OR. year_emit_sai_start < year_cur ) & |
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266 | .AND. ( day_cur <= day_emit_sai_end .OR. mth_cur < mth_emit_sai_end .OR. year_cur < year_emit_sai_end )) THEN |
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267 | |
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268 | m_aer=m_aer_emiss_sai |
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269 | !emission as SO2 gas (with m(SO2)=64/32*m_aer_emiss) |
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270 | m_aer=m_aer*(mSO2mol/mSatom) |
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271 | |
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272 | latmin=xlat_sai |
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273 | latmax=xlat_sai |
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274 | lonmin=xlon_sai |
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275 | lonmax=xlon_sai |
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276 | altemiss = altemiss_sai |
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277 | sigma_alt = sigma_alt_sai |
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278 | pdt=0. |
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279 | ! stretch emission over whole year (360d) |
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280 | stretchlong=FLOAT(year_len) |
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281 | |
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282 | CALL STRATEMIT(pdtphys,pdt,xlat,xlon,t_seri,pplay,paprs,m_air_gridbox,tr_seri,& |
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283 | m_aer,latmin,latmax,lonmin,lonmax,altemiss,sigma_alt,id_SO2_strat, & |
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284 | stretchlong,1,0) |
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285 | |
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286 | budg_emi_so2(:) = budg_emi(:,1)*mSatom/mSO2mol |
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287 | ENDIF ! Condition over injection dates |
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288 | |
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289 | CASE(3) ! --- SAI injection over a single band of longitude and between |
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290 | ! lat_min and lat_max |
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291 | |
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292 | m_aer=m_aer_emiss_sai |
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293 | !emission as SO2 gas (with m(SO2)=64/32*m_aer_emiss) |
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294 | m_aer=m_aer*(mSO2mol/mSatom) |
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295 | |
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296 | latmin=xlat_min_sai |
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297 | latmax=xlat_max_sai |
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298 | lonmin=xlon_sai |
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299 | lonmax=xlon_sai |
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300 | altemiss = altemiss_sai |
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301 | sigma_alt = sigma_alt_sai |
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302 | pdt=0. |
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303 | ! stretch emission over whole year (360d) |
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304 | stretchlong=FLOAT(year_len) |
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305 | |
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306 | CALL STRATEMIT(pdtphys,pdt,xlat,xlon,t_seri,pplay,paprs,m_air_gridbox,tr_seri,& |
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307 | m_aer,latmin,latmax,lonmin,lonmax,altemiss,sigma_alt,id_SO2_strat, & |
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308 | stretchlong,1,0) |
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309 | |
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310 | budg_emi_so2(:) = budg_emi(:,1)*mSatom/mSO2mol |
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311 | |
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312 | END SELECT ! emission scenario (flag_emit) |
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313 | |
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314 | !--read background concentrations of OCS and SO2 and lifetimes from input file |
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315 | !--update the variables defined in phys_local_var_mod |
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316 | CALL interp_sulf_input(debutphy,pdtphys,paprs,tr_seri) |
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317 | |
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318 | !--convert OCS to SO2 in the stratosphere |
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319 | CALL ocs_to_so2(pdtphys,tr_seri,t_seri,pplay,paprs,is_strato) |
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320 | |
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321 | !--convert SO2 to H2SO4 |
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322 | CALL so2_to_h2so4(pdtphys,tr_seri,t_seri,pplay,paprs,is_strato) |
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323 | |
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324 | !--common routine for nucleation and condensation/evaporation with adaptive timestep |
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325 | CALL micphy_tstep(pdtphys,tr_seri,t_seri,pplay,paprs,rh,is_strato) |
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326 | |
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327 | !--call coagulation routine |
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328 | CALL coagulate(pdtphys,mdw,tr_seri,t_seri,pplay,dens_aer,is_strato) |
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329 | |
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330 | !--call sedimentation routine |
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331 | CALL aer_sedimnt(pdtphys, t_seri, pplay, paprs, tr_seri, dens_aer) |
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332 | |
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333 | !--compute mass concentration of PM2.5 sulfate particles (wet diameter and mass) at the surface for health studies |
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334 | surf_PM25_sulf(:)=0.0 |
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335 | DO i=1,klon |
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336 | DO it=1, nbtr_bin |
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337 | IF (mdw(it) .LT. 2.5e-6) THEN |
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338 | !surf_PM25_sulf(i)=surf_PM25_sulf(i)+tr_seri(i,1,it+nbtr_sulgas)*m_part(i,1,it) & |
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339 | !assume that particles consist of ammonium sulfate at the surface (132g/mol) |
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340 | !and are dry at T = 20 deg. C and 50 perc. humidity |
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341 | surf_PM25_sulf(i)=surf_PM25_sulf(i)+tr_seri(i,1,it+nbtr_sulgas) & |
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342 | & *132./98.*dens_aer_dry*4./3.*RPI*(mdw(it)/2.)**3 & |
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343 | & *pplay(i,1)/t_seri(i,1)/RD*1.e9 |
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344 | ENDIF |
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345 | ENDDO |
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346 | ENDDO |
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347 | |
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348 | !--compute |
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349 | ! sulfmmr: Sulfate aerosol concentration (dry mixing ratio) (condensed H2SO4 mmr) |
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350 | ! SAD_sulfate: SAD all aerosols (cm2/cm3) (must be WET) |
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351 | ! sulfmmr_mode: sulfate(=H2SO4 if dry) MMR in different modes (ambiguous but based on sulfmmr, it mus be DRY(?) mmr) |
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352 | ! nd_mode: DRY(?) particle concentration in different modes (part/m3) |
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353 | sulfmmr(:,:)=0.0 |
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354 | SAD_sulfate(:,:)=0.0 |
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355 | sulfmmr_mode(:,:,:)=0.0 |
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356 | nd_mode(:,:,:)=0.0 |
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357 | |
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358 | DO i=1,klon |
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359 | DO j=1,klev |
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360 | DO it=1, nbtr_bin |
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361 | !surf_PM25_sulf(i)=surf_PM25_sulf(i)+tr_seri(i,1,it+nbtr_sulgas)*m_part(i,1,it) & |
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362 | !assume that particles consist of ammonium sulfate at the surface (132g/mol) |
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363 | !and are dry at T = 20 deg. C and 50 perc. humidity |
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364 | |
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365 | ! sulfmmr_mode: sulfate(=H2SO4 if dry) MMR in different modes (based on sulfmmr, it must be DRY mmr) |
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366 | ! equivalent to condensed H2SO4 mmr= H2SO4 kg / kgA in bin it |
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367 | sulfmmr_mode(i,j,it) = tr_seri(i,j,it+nbtr_sulgas) & ! [DRY part/kgA in bin it] |
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368 | & *(4./3.)*RPI*(mdw(it)/2.)**3. & ! [mdw: dry diameter in m] |
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369 | & *dens_aer_dry ! [dry aerosol mass density in kg/m3] |
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370 | |
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371 | ! sulfmmr: Sulfate aerosol concentration (dry mass mixing ratio) |
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372 | ! equivalent to total condensed H2SO4 mmr (H2SO4 kg / kgA |
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373 | sulfmmr(i,j) = sulfmmr(i,j) + sulfmmr_mode(i,j,it) |
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374 | |
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375 | ! nd_mode: particle concentration in different modes (DRY part/m3) |
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376 | nd_mode(i,j,it) = tr_seri(i,j,it+nbtr_sulgas) & ! [DRY part/kgA in bin it] |
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377 | & *pplay(i,j)/t_seri(i,j)/RD ! [air mass concentration in kg air /m3A] |
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378 | |
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379 | IF(flag_new_strat_compo) THEN |
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380 | ! SAD_sulfate: SAD WET sulfate aerosols (cm2/cm3) |
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381 | SAD_sulfate(i,j) = SAD_sulfate(i,j) + nd_mode(i,j,it) & ! [DRY part/m3A (in bin it)] |
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382 | & *4.*RPI*( mdw(it)*f_r_wetB(i,j,it)/2. )**2. & ! [WET SA of part it in m2] |
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383 | & *1.e-2 ! conversion from m2/m3 to cm2/cm3A |
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384 | ELSE |
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385 | ! SAD_sulfate: SAD WET sulfate aerosols (cm2/cm3) |
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386 | SAD_sulfate(i,j) = SAD_sulfate(i,j) + nd_mode(i,j,it) & ! [DRY part/m3A (in bin it)] |
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387 | & *4.*RPI*( mdw(it)*f_r_wet(i,j)/2. )**2. & ! [WET SA of part it in m2] |
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388 | & *1.e-2 ! conversion from m2/m3 to cm2/cm3A |
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389 | ENDIF |
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390 | ENDDO |
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391 | ENDDO |
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392 | ENDDO |
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393 | |
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394 | END SUBROUTINE traccoag |
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395 | |
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396 | END MODULE traccoag_mod |
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