MODULE sedinorg !!====================================================================== !! *** MODULE sedinorg *** !! Sediment : dissolution and reaction in pore water of !! inorganic species !!===================================================================== !! * Modules used USE sed ! sediment global variable USE sed_oce USE sedmat ! linear system of equations USE sedco3 ! carbonate ion and proton concentration USE sedini USE seddsr USE lib_mpp ! distribued memory computing library USE lib_fortran IMPLICIT NONE PRIVATE PUBLIC sed_inorg !! $Id: seddsr.F90 5215 2015-04-15 16:11:56Z nicolasmartin $ CONTAINS SUBROUTINE sed_inorg( kt, knt ) !!---------------------------------------------------------------------- !! *** ROUTINE sed_inorg *** !! !! ** Purpose : computes pore water dissolution and reaction !! !! ** Methode : implicit simultaneous computation of undersaturation !! resulting from diffusive pore water transport and chemical !! pore water reactions. Solid material is consumed according !! to redissolution and remineralisation !! !! ** Remarks : !! - undersaturation : deviation from saturation concentration !! - reaction rate : sink of undersaturation from dissolution !! of solid material !! !! History : !! ! 98-08 (E. Maier-Reimer, Christoph Heinze ) Original code !! ! 04-10 (N. Emprin, M. Gehlen ) f90 !! ! 06-04 (C. Ethe) Re-organization !! ! 19-08 (O. Aumont) Debugging and improvement of the model !!---------------------------------------------------------------------- !! Arguments INTEGER, INTENT(in) :: kt, knt ! number of iteration ! --- local variables INTEGER :: ji, jk, js, jw ! dummy looop indices REAL(wp), DIMENSION(jpoce,jpksed) :: zrearat1, zrearat2 ! reaction rate in pore water REAL(wp), DIMENSION(jpoce,jpksed) :: zundsat ! undersaturation ; indice jpwatp1 is for calcite REAL(wp), DIMENSION(jpoce) :: zco3eq REAL(wp), DIMENSION(jpoce,jpksed,jpsol) :: zvolc ! temp. variables REAL(wp), DIMENSION(jpoce) :: zsieq REAL(wp) :: zsolid1, zvolw, zreasat, zbeta, zgamma REAL(wp) :: zsatur, zsatur2, znusil, zsolcpcl, zsolcpsi !! !!---------------------------------------------------------------------- IF( ln_timing ) CALL timing_start('sed_inorg') ! IF( kt == nitsed000 .AND. knt == 1 ) THEN IF (lwp) THEN WRITE(numsed,*) ' sed_inorg : Dissolution reaction ' WRITE(numsed,*) ' ' ENDIF ! ! ENDIF ! Initializations !---------------------- zrearat1(:,:) = 0. ; zundsat(:,:) = 0. zrearat2(:,:) = 0. zco3eq(:) = rtrn zvolc(:,:,:) = 0. ! ----------------------------------------------- ! Computation of Si solubility ! Param of Ridgwell et al. 2002 ! ----------------------------------------------- DO ji = 1, jpoce zsolcpcl = 0.0 zsolcpsi = 0.0 DO jk = 1, jpksed zsolcpsi = zsolcpsi + solcp(ji,jk,jsopal) * vols3d(ji,jk) zsolcpcl = zsolcpcl + solcp(ji,jk,jsclay) * vols3d(ji,jk) END DO zsolcpsi = MAX( zsolcpsi, rtrn ) zsieq(ji) = sieqs(ji) * MAX(0.25, 1.0 - (0.045 * zsolcpcl / zsolcpsi )**0.58 ) zsieq(ji) = MAX( rtrn, sieqs(ji) ) END DO DO js = 1, jpsol DO jk = 1, jpksed DO ji = 1, jpoce zvolc(ji,jk,js) = ( vols3d(ji,jk) * dens_mol_wgt(js) ) / & & ( volw3d(ji,jk) * 1.e-3 ) ENDDO ENDDO ENDDO !---------------------------------------------------------- ! 5. Beginning of Pore Water diffusion and solid reaction !--------------------------------------------------------- !----------------------------------------------------------------------------- ! For jk=2,jpksed, and for couple ! 1 : jwsil/jsopal ( SI/Opal ) ! 2 : jsclay/jsclay ( clay/clay ) ! 3 : jwoxy/jspoc ( O2/POC ) ! reaction rate is a function of solid=concentration in solid reactif in [mol/l] ! and undersaturation in [mol/l]. ! Solid weight fractions should be in ie [mol/l]) ! second member and solution are in zundsat variable !------------------------------------------------------------------------- DO jk = 1, jpksed DO ji = 1, jpoce ! For Silicic Acid and clay zundsat(ji,jk) = zsieq(ji) - pwcp(ji,jk,jwsil) ENDDO ENDDO ! Definition of reaction rates [rearat]=sans dim ! For jk=1 no reaction (pure water without solid) for each solid compo DO ji = 1, jpoce zrearat1(ji,:) = 0. zrearat2(ji,:) = 0. ENDDO ! left hand side of coefficient matrix DO jk = 2, jpksed DO ji = 1, jpoce IF ( zundsat(ji,jk) > 0. ) THEN zsolid1 = zvolc(ji,jk,jsopal) * solcp(ji,jk,jsopal) zsatur = zundsat(ji,jk) / zsieq(ji) zsatur2 = (1.0 + temp(ji) / 400.0 )**37 znusil = ( 0.225 * ( 1.0 + temp(ji) / 15.) + 0.775 * zsatur2 * zsatur**8.25 ) / zsieq(ji) zbeta = 1.0 - reac_sil * znusil * dtsed2 * zundsat(ji,jk) + reac_sil * znusil * dtsed2 * zsolid1 zgamma = - reac_sil * znusil * dtsed2 * zundsat(ji,jk) zundsat(ji,jk) = ( - zbeta + SQRT( zbeta**2 - 4.0 * zgamma ) ) / ( 2.0 * reac_sil * znusil * dtsed2 ) solcp(ji,jk,jsopal ) = zsolid1 / ( 1. + reac_sil * znusil * dtsed2 * zundsat(ji,jk) ) / zvolc(ji,jk,jsopal) pwcp(ji,jk,jwsil) = zsieq(ji) - zundsat(ji,jk) ENDIF ENDDO ENDDO !--------------------------------------------------------------- ! Performs CaCO3 particle deposition and redissolution (indice 9) !-------------------------------------------------------------- ! computes co3por from the updated pwcp concentrations (note [co3por] = mol/l) CALL sed_co3( kt ) ! *densSW(l)**2 converts aksps [mol2/kg sol2] into [mol2/l2] to get [undsat] in [mol/l] DO jk = 1, jpksed DO ji = 1, jpoce zco3eq(ji) = aksps(ji) * densSW(ji) * densSW(ji) / ( calcon2(ji) + rtrn ) zco3eq(ji) = MAX( rtrn, zco3eq(ji) ) zundsat(ji,jk) = ( zco3eq(ji) - co3por(ji,jk) ) / zco3eq(ji) ENDDO ENDDO DO jk = 2, jpksed DO ji = 1, jpoce IF ( zundsat(ji,jk) > 0. ) THEN zsolid1 = zvolc(ji,jk,jscal) * solcp(ji,jk,jscal) zbeta = 1.0 - reac_cal * dtsed2 * zundsat(ji,jk) + reac_cal * dtsed2 * zsolid1 zgamma = -reac_cal * dtsed2 * zundsat(ji,jk) zundsat(ji,jk) = ( -zbeta + SQRT( zbeta**2 - 4.0 * zgamma ) ) / ( 2.0 * reac_sil * znusil * dtsed2 ) saturco3(ji,jk) = zundsat(ji,jk) zreasat = reac_cal * dtsed2 * zundsat(ji,jk) * zsolid1 / ( 1. + reac_cal * dtsed2 * zundsat(ji,jk) ) solcp(ji,jk,jscal) = solcp(ji,jk,jscal) - zreasat / zvolc(ji,jk,jscal) ! For DIC pwcp(ji,jk,jwdic) = pwcp(ji,jk,jwdic) + zreasat ! For alkalinity pwcp(ji,jk,jwalk) = pwcp(ji,jk,jwalk) + 2.0 * zreasat ENDIF END DO END DO IF( ln_timing ) CALL timing_stop('sed_inorg') ! END SUBROUTINE sed_inorg END MODULE sedinorg