SUBROUTINE ice_gas_solu !------------------------------------------------------------------------------! ! *** ice_gas_solu *** ! ! This routine computes for Argon, Oxygen, CO2 and Nitrogen ! - Saturation concentration (csat_gas, mmol/m3) ! - Solubility (sol_gas, mmol/m3/atm) ! in each vertical layer ! ! Refs ! Argon: Hamme and Emerson (2004) ! Oxygen: Garcia and Gordon (1992) ! CO2: Sarmiento and Gruber (2006), Weiss (1974) ! N2: Sarmiento and Gruber (2006) and references therein ! ! Original code (in ice_gas.f): S. Moreau, M. Vancoppenolle, 2012-2015 ! ! Rewriting: M. Vancopppenolle, Nov 2015 ! ! Present status : ! - code for Ar, not for N2 and O2 ! - should put mixing ratios in the namelist !------------------------------------------------------------------------------! USE lib_fortran INCLUDE 'type.com' INCLUDE 'para.com' INCLUDE 'const.com' INCLUDE 'ice.com' INCLUDE 'thermo.com' INCLUDE 'bio.com' REAL(8), DIMENSION(nlay_bio) :: & ztc, ! Celsius temperature & ztlog ! Re-scaled temperature LOGICAL :: & ln_write_gas = .TRUE. !==============================================================================! ! !------------------------------------------------------------------------------! ! X) Starting the routine !------------------------------------------------------------------------------! ! IF ( ln_write_gas ) THEN WRITE(numout,*) WRITE(numout,*) ' *** ice_gas_solu : ' WRITE(numout,*) ' ~~~~~~~~~~~~~~~~~~~' WRITE(numout,*) ENDIF ji = 1 zpatm = psbqb(ji) / 101325. ! atmospheric pressure in atmospheres CALL ice_brine IF ( ln_write_gas ) THEN WRITE(numout,*) ' ztc : ', ztc(1:nlay_bio) WRITE(numout,*) ' sbr_bio : ', sbr_bio(1:nlay_bio) WRITE(numout,*) ' rhobr_bio: ', rhobr_bio(1:nlay_bio) WRITE(numout,*) ENDIF DO jn = 1, ntra_bio IF ( flag_active(jn) .AND. ( biotr_i_typ(jn) .EQ. 'gas' ) ) & THEN ! !------------------------------------------------------------------------------! ! X) Celsius temperature and rescaled temperature !------------------------------------------------------------------------------! ! DO layer = 1, nlay_bio ztc(layer) = tc_bio(layer) ! temperature in celsius ztlog(layer) = LOG( ( 298.15 - ztc(layer) ) / ! rescaled log temperature & ( 273.15 + ztc(layer) ) ) END DO ! !------------------------------------------------------------------------------! ! X) Saturation concentrations !------------------------------------------------------------------------------! ! !------- IF ( biotr_i_nam(jn) .EQ. 'Arg' ) THEN ! Argon !------- IF ( ln_write_gas ) THEN WRITE(numout,*) ' --- Argon ...' ENDIF ! Hamme and Emerson, 2004 ! form ln C = AO + A1 * Ts + A2 * Ts^2 + A3 * Ts^3 ! + S ( B0 + B1 * Ts + B2 * Ts^2 ) ! Ts = f(Tc), Tc in Celsius, S in pss !--- Polynomial coefficients (mumol/kg, Table 4) za0 = 2.79150 ; za1 = 3.17609 ; za2 = 4.13116 za3 = 4.90379 zb0 = -6.96233e-3 ; zb1 = -7.66670e-3 ; zb2 = -1.16888e-2 DO layer = 1, nlay_bio !--- Rescaled log temperature powers zt = ztlog(layer) zt2 = zt * zt zt3 = zt * zt2 !--- Saturation concentration at equilibrium with a moist atmosphere at 1-atm pressure zln_csat = za0 + za1*zt + za2*zt2 + za3*zt3 + & ( zb0 + zb1*zt + zb2*zt2 ) * sbr_bio(layer) csat_gas(jn,layer) = EXP( zln_csat ) ! in mumol/kg csat_gas(jn,layer) = csat_gas(jn,layer) * ! in mmol/m3 & rhobr_bio(layer) / 1000. END DO ENDIF ! 'Arg' !----------- IF ( biotr_i_nam(jn) .EQ. 'Oxy' ) THEN ! di-Oxygen !----------- IF ( ln_write_gas ) THEN WRITE(numout,*) ' --- Oxygen ...' ENDIF ! Garcia and Gordon, L&O 1992 ! form ln C = f(S,T), eq 8 page 1310 (! small mistake in the equation, extra-term) !--- Polynomial coefficients (mumol/kg, Table 1, last column) za0_sat_oxy = 5.80818; za1_sat_oxy = 3.20684 za2_sat_oxy = 4.11890; za3_sat_oxy = 4.93845 za4_sat_oxy = 1.01567; za5_sat_oxy = 1.41575 zb0_sat_oxy = -7.01211e-3; zb1_sat_oxy = -7.25958e-3 zb2_sat_oxy = -7.933343e-3; zb3_sat_oxy = -5.54491e-3 zc0_sat_oxy = -1.32412e-7 DO layer = 1, nlay_bio !--- Rescaled log temperature powers zt = ztlog(layer) zt2 = zt * zt zt3 = zt2 * zt zt4 = zt2 * zt2 zt5 = zt2 * zt3 !--- Saturation concentration at equilibrium with a moist atmosphere at 1-atm pressure zln_csat = ( za0_sat_oxy + za1_sat_oxy * zt + & za2_sat_oxy * zt2 + & za3_sat_oxy * zt3 + & za4_sat_oxy * zt4 + & za5_sat_oxy * zt5 + & sbr_bio(layer) * & ( zb0_sat_oxy + zb1_sat_oxy * zt + & zb2_sat_oxy * zt2 + & zb3_sat_oxy * zt3 ) + & zc0_sat_oxy * & sbr_bio(layer) * sbr_bio(layer) ) csat_gas(jn,layer) = EXP(zln_csat) ! mumol/kg csat_gas(jn,layer) = csat_gas(jn,layer) * ! in mmol/m3 & rhobr_bio(layer) / 1000. END DO ENDIF ! 'Oxy' !------------- IF ( biotr_i_nam(jn) .EQ. 'Nit' ) THEN ! di-Nitrogen !------------- IF ( ln_write_gas ) THEN WRITE(numout,*) ' --- Nitrogen ...' ENDIF ! Sarmiento and Gruber (2006, page 74) and references therein ! form ... !--- Polynomial coefficients (mumol/kg) za0_sat_nit = 6.42931 za1_sat_nit = 2.92704 za2_sat_nit = 4.32531 za3_sat_nit = 4.69149 zb0_sat_nit = -0.00744129 zb1_sat_nit = -0.00802566 zb2_sat_nit = -0.0146775 DO layer = 1, nlay_bio !--- Rescaled log temperature powers zts = ztlog(layer) zts2 = zts * zts zts3 = zts2 * zts zln_csat = za0_sat_nit + za1_sat_nit * zts + & za2_sat_nit * zts2 + & za3_sat_nit * zts3 & + sbr_bio(layer) * & ( zb0_sat_nit + zb1_sat_nit * zts + & zb2_sat_nit * zts2 ) csat_gas(jn,layer) = EXP(zln_csat) ! mumol/kg csat_gas(jn,layer) = csat_gas(jn,layer) * ! in mmol/m3 & rhobr_bio(layer) / 1000. END DO ! layer ENDIF ! 'Nit' !------------- IF ( biotr_i_nam(jn) .EQ. 'CO2' ) THEN ! CO2 !------------- IF ( ln_write_gas ) THEN WRITE(numout,*) ' --- CO2 ...' ENDIF ! Sarmiento and Gruber, 2006 (Weiss, 1974 with total ph scale) ! form C = mix_rat * exp[ f(S,T) ], Table 3.2.2 za0_sat_CO2 = -160.7333; za1_sat_CO2 = 215.4152 za2_sat_CO2 = 89.8920; za3_sat_CO2 = -1.47759 zb0_sat_CO2 = 0.029941; zb1_sat_CO2 = -0.027455 zb2_sat_CO2 = 0.0053407 DO layer = 1, nlay_bio !--- temperature powers zt = t_i_bio(layer) ! Temperature (K) z100_t = 100. / zt zt_100 = zt / 100. zt_100_2 = zt_100 * zt_100 zsat_CO2 = mixr_gas(jn) * & EXP ( za0_sat_CO2 + & za1_sat_CO2 * z100_t + ! zsat_CO2 is the CO2 concentration at saturation & za2_sat_CO2 * log (zt_100) + ! zsat_CO2 is in mol/kg & za3_sat_CO2 * zt_100_2 + & sbr_bio(layer) * & ( zb0_sat_CO2 + & zb1_sat_CO2 * zt_100 + & zb2_sat_CO2 * zt_100_2 ) ) csat_gas(jn,layer) = zsat_CO2 * rhobr_bio(layer) * 1000. ! mmol/m3 ! WRITE(numout,*) '--------------------------- ' ! WRITE(numout,*) ' jn, layer: ', jn,layer ! WRITE(numout,*) ' mixr_gas : ', mixr_gas(jn) ! WRITE(numout,*) ' rhobr_bio: ', rhobr_bio(layer) ! WRITE(numout,*) ' zsat_CO2 : ', zsat_CO2 ! WRITE(numout,*) ' zt : ', zt ! WRITE(numout,*) ' z100_t : ', z100_t ! WRITE(numout,*) ' zt_100 : ', zt_100 ! WRITE(numout,*) ' zt_100_2 : ', zt_100_2 ! WRITE(numout,*) ' csat_gas : ', csat_gas(jn,layer) ! WRITE(numout,*) '--------------------------- ' END DO ! layer ENDIF ! 'CO2' WRITE(numout,*) ' ---> csat_gas: ', csat_gas(jn,:) WRITE(numout,*) !------------------------------------------------------------------------------! ENDIF ! flags END DO ! jn ! !------------------------------------------------------------------------------! ! X) Solubility and partial pressure !------------------------------------------------------------------------------! ! DO jn = 1, ntra_bio sol_gas(jn,:) = 0. IF ( flag_active(jn) .AND. ( biotr_i_typ(jn) .EQ. 'gas' ) ) & THEN sol_gas(jn,:) = csat_gas(jn,:) / mixr_gas(jn) ! solubility, ./m3/atm IF ( ln_write_gas ) THEN WRITE(numout,*) ' Tracer number : ', jn WRITE(numout,*) ' --- ', biotr_i_nam(jn) WRITE(numout,*) ' sol_gas(jn,:) : ', sol_gas(jn,:) ENDIF ENDIF END DO ! !------------------------------------------------------------------------------! ! X) End of the routine !------------------------------------------------------------------------------! ! WRITE(numout,*) WRITE(numout,*) ' End of ice_gas_solu ' WRITE(numout,*) '~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~' WRITE(numout,*) RETURN END