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Loscar9.m
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%--------------------------------------
%
% file: Loscar.m
%
% LOSCAR Model: Long-term Ocean-atmosphere-Sediment
% CArbon cycle Reservoir Model
%
% ocean box model (+1 for atmosphere)
%
%
%
%
% updates:
%
% 07/06/08 A few comments added
%
% 02/06/08 ffflag results are slightly different
% for MM-O2 from those saved Oct 2007.
% Set KMMOX = 0.0.
%
% 10/27/07 Michaelis-Menton for Oxygen included.
%
% 10/20/07 Indices of initial f0 (sediments, load)
% corrected in Y0 when oxygen is included
% (caused f>1 during erosion)
%
% 10/20/07 TDflag: derivs with dYflag = 1 now called with
% TCvt because TCv can't be updated (odeXX not called).
% Shouldn't be an issue for TDflag = 0 as
% TCv IS updated.
%
% 05/13/07 constraints on CBl and d13CBl input
% ccdA(1)-min(ccdA)
% kk=150; min(d13c(kk,1))-d13c(1,1)
%
% 01/29/07 Tethys mv=3.5, rrain=
% 01/28/07 Oxygen included. Lots of changes:
% hs, TH, TT, rrain
% 01/22/07 [CO3=] grad: co3tv(jt,9)/co3tv(jt,7)
%
% 12/00/06 sedrate/phi (WRONG!) in old sed model
% new is OK!
% 07/13/06 Temp for co3sat corrected
% 07/05/06 rcak for Ca/Cam corrected (Tethys)
% 07/01/06 Version B runs. Nearly same results.
% 06/26/06 New sediment model (Version B)
% 05/27/06 New erosion
% 05/03/06 Pac CCD shallowed (x in THmfun)
% 03/23/06 Effect of Ca/Mg on K's included
% 03/12/06 Adjust dissolution to Ca. nc 2.4
% 03/11/06 shelf/deep rain C13 missing. done
% 03/08/06 mix/biopump changed
% 03/04/06 Millero sat, Ca = 20, 1000 ppmv
% 03/01/06 H-Lat mix & 13Cin changed for basin-d13C
% 01/18/06 switch TH SO-NP-SO
% 12/29/05 Tethys ocean+sed complete
% 12/26/05 P-Error in dafunPE corrected
% 12/24/05 Tethys
% 12/10/05 Tuning good with water column diss
% 12/08/05 Tuning
% 11/26/05 10-box: rhos, phi = phi(fc)
% 11/22/05 03-box: DEQ in df/dt
% 11/05/05 porosity, phi = phi(fc)
% 10/27/05 error fixed (rsed could become < 0)
% 10/25/05 C13 10-box ocean + sediment
% 10/23/05 C13 10-box ocean
% 10/21/05 C13 3-box sediment
% 10/18/05 resumed
% 05/26/05 10-box (c,a,p) + sed complete
% 05/11/05 new file
%
%
%--------------------------------------
solflag = 1; % 0: skip solver/load
if (solflag == 1)
clear all all;
solflag = 1;
end;
logax = 0; % plot: log axes on/off
axx = [-0.5e5 2.0e5]; % x-axes limits (time)
%axx = [000 1000];
global myflag kasflag Fem20 kt tst Dtst yst dYst stflag ...
Cam Ca Mgm Mg y2s;
kt = 1; % counter time step
Cam = 10.3e-3; % 10.3 (mol/kg) Calcium modern
Mgm = 53.0e-3; % 53.0 (mol/kg) Magnesium modern
Ca = Cam;
Mg = Mgm;
y2s = 3600.*24.*365.; % year to seconds
myflag = 01;
% 01: 10-box model + N sediment + Tethys
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% 10 BOX + sediment + Tethys
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
if myflag == 01;
if solflag == 01;
%========================================
% global variables:
% known to Loscar and LoscarDif9
%========================================
global Aoc rho Nb V A TH0 TH TS mv mhd kasv kkv TCv Sv Pv gp tA tI ...
phflag k1k2flag EPH fEPL rrain ep ept ec ect REDPC REDNC REDO2C eI ...
Ns asvA asvI asvP zv m2kg rhos frrf phic hs FiN ...
phivtA phivtI phivtP phi0 phi1 gam ...
phiiA phiiI phiiP phiiT dsv ...
Fpr frain rsedv rburvtA rburvtI rburvtP dissvtA ...
dissvtI dissvtP FprtA FprtI FprtP it co3satv ...
Kd KS cst dsflag nc dYflag nu fsed ...
Fpr13tA Fpr13tI Fpr13tP Fint Fin13t FSit FSi13t ...
fc0A fc0I fc0P f13c0A f13c0I f13c0P ...
dissv13tA dissv13tI dissv13tP ...
co3s0 as zs0 klid nli Rst epsp Rin FiN13 ...
BlFlag CBl RBl kb FVC FVC13 Rvc pCSi nSi nCC Fkg Fkg13 ...
ftys nOC TT asvT kliT fc0T f13c0T rsedvtT dissvtT dissv13tT ...
FprtT Fpr13tT phivtT fcon swcon ...
TCv0 TCvt ntL ntH fsh fdpv fshT nshT ...
ffflag tem em RlsCtv ...
fdox KMMOX vask DTS DTS2 ts3 DTS3 DTS4 ...
k1st tfinal TDflag omegCSvt omegASvt ...
THt mv0 mhd0 oxA CAvflag FSichck Finchck kspCHCK...
CHECK1 CHECK2 CHECK3 CHKFin CHKFSi CHCKbioL CHCKbioI CHCKbioD ...
CHKcarB1 CHKcarB2 CHKcarB3 CHKcar1 CHKcar2 CHKcar3 CHKcar4 CAv AJDE;
% +++++ Edit this line to add correct path to solver ! +++++ %
addpath('L:\Matlab\Loscar\myode');
plotflag = 1; % plot results
CAvflag = 1; % 2:calcium is a variable and changes,1:calcium constant
savf = 0; % save end state
loadf = 1; % load initial steady-state
BlFlag = 0; % Blast 1: shot0, 2: cont release
fcon = 3; % 1: NADW, 2: NPDW, 3: SO
swcon = 0; % 1: SO -> NP -> SO switch
bath = 2; % 1,2,3 bathymetry
dsflag = 3; % 1,2,3 dissolution parameter
ftys = 1; % Tethys
fsed = 1; % include sediments
parflag = 0; % write parameter to file
ffflag = 0; % Anthropogenic CO2 (fossil fuel)
fdox = 1; % include dissolved oxygen
TDflag = 0; % Temp sens to doubling CO2
ccdrun = 0; % parameter run: CBl, oxA
oxA = 0.4; % fraction released in deep Atl
disp(' ');
disp('@==================== RUN Loscar ====================@');
disp(' ');
load_Blast_fcon_bathym_diss_TDflag = ...
sprintf(' %d %d %d %d %d %d',...
loadf,BlFlag,fcon,bath,dsflag,TDflag);
load_Blast_fcon_bathym_diss_TDflag
% Tracer -> DIC ALK PO4 O2 DIC-13 Catm Catm-13 sediments ...
%
% Boxes:
%
% Low, Interm, Deep, High
% Atlantic, Pacific, Indic
%
% AL 1
% IL 2
% PL 3
% AI 4
% II 5
% PI 6
% AD 7
% ID 8
% PD 9
% H 10
Voc = 1.2918235e18; % (m3) volume ocean
Aoc = 3.49e14; % (m2) area ocean
Hav = Voc/Aoc; % (m) average depth
rho = 1.025e3; % kg/m3 (1.025: Toggweiler)
rhos = 2.50e3; % kg/m3 sed. density 2.50
m2kg = 100/1e3; % mol C -> kg CaCO3
REDPC = 1/130; % 130 Redfield P:C
REDNC = 15/130; % 15/130 Redfield N:C
REDO2C = 165/130; % 165/130 Redfield O2:C 169
% flags CO2 system
phflag = 0;
k1k2flag = 1;
% Number of oceans
if(ftys)
nOC = 4;
else
nOC = 3;
end;
on3 = ones(1,3);
%--------------------- Ocean Boxes
% A I P
if(ftys)
fA3 = [.15 .14 .52]; %03/31/06 % Area fraction AIP
%fA3 = [.17 .18 .46]; % Area fraction AIP
fH = 0.10; % Area fraction H box
fT = 0.09; % Area fraction Tethys
fA = [fA3 fA3 fA3 fH fT*on3]; %
A = fA*Aoc;
HLI = [100. 900.]; % (m) height L I boxes
DTM = sum(HLI); % (m) depth thermocline
HH = 250.; % (m) depth H box
%HDT = [1000.]; % (m) height Deep Tethys
HDT = [ 200.]; % (m) height Deep Tethys
Vres = Voc-(DTM*(1-fH)+HH*fH+HDT*fT)*Aoc;
%VD = Vres*fA3/(sum(fA3)); % (m3) Vol Deep AIP
VD = Vres*[16.0 16.0 68.]/100;% (m3) Vol Deep AIP
% 04/02/06
HD = VD./(fA3*Aoc); % (m) H Deep AIP
HLID = [HLI HD];
H = [HLID(1)*on3 HLID(2)*on3 HD ...
HH HLI HDT]; % (m) height of boxes
V = A.*H;
else
%--------------------- Ocean Boxes
% A I P
fA3 = [.26 .18 .46 ]; % Area fraction
fA = [fA3 fA3 fA3 .10]; % 0.05
A = fA*Aoc;
HLI = [100. 900.]; % (m) height L I boxes
HD = Hav-sum(HLI);
HLID = [HLI HD];
H = [HLID(1)*on3 HLID(2)*on3 ...
HLID(3)*on3 250.]; % (m) height of boxes
V = fA.*H*Aoc; % (m) Volume of boxes
% volume below H box = A(10)*(Hav-H(10))
% add to deep boxes
V(7:9) = V(7:9) + A(10)*(Hav-H(10))/3;
H = V./A;
end;
% Number of ocean boxes
Nb = length(V);
onV = ones(1,length(V));
% volume of basins
for i=1:3
VO(i) = sum(V([i i+3 i+6]));
end;
VO(4) = V(10);
if (ftys)
VO(5) = sum(V(11:13));
end
% Temperature and feedback
%ntL = 0.4; % 0.3 Low Lat sensitivity
%ntH = 0.5; % 0.4 HighLat sensitivity
TC3 = [20. 10. 2.]; % (degC) temp. of boxes
TCv0 = [TC3(1)*on3 TC3(2)*on3 TC3(3)*on3 2.0];
CA3 = [10.3 10.3 10.3]*1e-3; % mol/kg Ca of boxes
CAv0 = [CA3(1)*on3 CA3(2)*on3 CA3(3)*on3];
if(ftys)
TC3 = [25. 16. 12.]; % (degC) temp. of boxes
TCv0 = [TC3(1)*on3 TC3(2)*on3 TC3(3)*on3 12.0+0];
TCT = [18. 14. 12.+0]; % 18/25 16/14 12
TCv0 = [TCv0 TCT]+0;
CA3 = [20 20 20]*1e-3; % mol/kg Ca of boxes
CAv0 = [CA3(1)*on3 CA3(2)*on3 CA3(3)*on3];
end;
TCv = TCv0;
Soc = 34.72; % Sal whole ocean
Sv = onV*Soc; % Salinity vector
CAv= CAv0;
% Pressure vector. Note: H(k+6) all different
for k=1:3
Hv3(k,:)= [H(k)/2 H(k)+H(k+3)/2 H(k)+H(k+3)+H(k+6)/2];
end;
Pv = [Hv3(:,1)' Hv3(:,2)' Hv3(:,3)' H(10)/2]/10;
if(ftys)
k = 11;
HTv = [H(k)/2 H(k)+H(k+1)/2 H(k)+H(k+1)+H(k+2)/2];
Pv = [Pv HTv/10];
end;
% Overturning
TH0 = 20.e6*3600*24*365; % (m3/y) 25 20 Sv conveyor transport
if(ftys)
TH0 = 25.e6*3600*24*365; % (m3/y) 25 20 Sv conveyor transport
end;
TT = 02.e6*3600*24*365; % (m3/y) 03 02 Sv conveyor transport
TH = TH0;
TS = 0.0;
% TH branches
tA = 0.20; % 0.20 upwelled into intermdt Atl 0.27 0.15
tI = 0.20; % 0.20 upwelled into intermdt Ind 0.29 0.30
% mixing A I P TLI TII % 3.5 3.5 8.5
mv0 = [5.5 4.5 6.5 2.5 2.]*1e6; % Sv 5.5 4.5 6.5 2.5 2
% high-deep
mhd0 = [03. 02. 8.0 1.0]*1e6; % Sv 3 2 8 | 4 4 6
if(ftys)
mv0 = [3.5 3.5 7.0 3.2 2.]*1e6; % Sv 5.5 4.5 8.5 3.0 2
mhd0 = [04. 04. 6.0 0.7]*1e6; % Sv 3 2 8 | 4 4 6
end;
mv0 = 3.8*mv0 *365*24*3600; % (m3/y) 3.8 4.0
mhd0 = 1.3*mhd0*365*24*3600; % (m3/y) 1.3
mv = mv0;
mhd = mhd0;
% air-sea CO2/O2
kasv = NaN*onV;
vask = NaN*onV;
if(ftys)
kkv = [1 2 3 10 11];
else
kkv = [1 2 3 10];
end;
xkh = 1.*0.06; % Wally's CO2 exchange coeff.
kasv(kkv) = xkh*A(kkv); % (mol/uatm/y) air sea exch coeff Llat
pv = 3.*365; % (m/day) -> (m/y) piston velocity
vask(kkv) = pv*A(kkv); % m3/y
%============== Biological Pump ============%
%
EPH = 1.8*A(10); % (mol/y) 1.8 1.6 H Export, mol C/m2/y*A = mol/y
rrain = 6.1; % 6.1 6.2 6.7 export rain ratio (Corg/CaCO3)
% 5.9(?) 6.1(2,3)
if(ftys)
rrain = 6.7; % 6.7 7 4.2 export rain ratio (Corg/CaCO3)
end; % 8.0(1,1) 6.3(1,3) 6.6/6.2/6.0?(2,3)
nu = 0.31; % 0.31 water column dissolution
fEPL = 0.80; % 0.80 0.9 LL utilization
eI = 0.78; % 0.78 0.8 fraction EPL, remineralized in I boxes
if(~fsed)
nu = 0.;
end;
% fraction EPH, remineralized in deep A,I,P boxes
gp = 0.*ones(1,Nb);
gp(7:9) = [.3 .3 .4]; % .3 .3 .4
%gp(7:9) = [1 1 1]/3; % .7 .3 0
%============== silicate weathering: volc degass
pRef = 280.; % uatm, weathering ref 280
pCSi = 280.; % uatm, std-stt atm pCO2 280
if(ftys)
pRef = 0500.*1.; % uatm, weathering ref 500 574 350 750 /2
pCSi = 1000.*1.; % uatm, std-stt atm pCO2 560 1000 700 1000 /2
end;
FVC = 1*5.e12/Aoc; % mol C, degassing /m2/y @280 uatm
nSi0 = 0.2; % 0.2
nSi = 0.2; % 0.2 0.3
FVC = FVC*(pCSi/pRef)^nSi0; % initial
%============== kerogen oxidation
Fkg = 1*09.e12/Aoc; % mol C /m2/y 09
if(ftys)
Fkg = 05.e12/Aoc; % mol C /m2/y 05
end
%============== CaCO3 in-flux ===============%
%
FiN = 1.0*12.e12/Aoc; % mol C /m2/y riverine flux 1.3
nC0 = 0.40; % 0.4
nCC = 0.40; % 0.4 0.3 1.0 0.5
FiN = FiN*(pCSi/pRef)^nC0; %
Fpr = 3.*FiN; % mol C /m2/y production 3.6
% rain of 'remainder'
%frrf = 1.5*1.15*0.180; % g/cm2/ky remainder 1.5*1.15
frrf = 0.35; % g/cm2/ky remainder .311
frrf = frrf*1e4/1e3/1e3; % -> kg/ m2/ y
frain = Fpr*m2kg/(Fpr*m2kg+frrf);
%======= Carbon-13
Rst = 0.011; % 13C: R standard (value irrelevant)
epsp = -27.; % -27 fractionation Corg
if(ftys)
epsp = -33.; % -33 fractionation Corg
end;
d13Cin = +3.0; % d13C of riverine flux 3.0 2.0 2.6
Rin = Rst*(d13Cin/1e3+1);
FiN13 = Rin*FiN; % mol C /m2/y riverine flux
% silicate weathering: volc degass
d13Cvc = -3.0; % d13C -5 +0.3 -0.7 +2.0
if(ftys)
d13Cvc = -5.0; % d13C -5 +0.3 -0.7 +2.0
end;
Rvc = Rst*(d13Cvc/1e3+1);
FVC13 = Rvc*FVC; % mol C /m2/y
% kerogen oxidation
d13Ckg = -22.3; % d13C -22.3 -28.3
Rkg = Rst*(d13Ckg/1e3+1);
Fkg13 = Rkg*Fkg; % mol C /m2/y
if(fsed) %========= sediments ============== fsed
% dissolution parameter
%
% ~fc*(1-om)
if (dsflag == 1)
Kd = 1.*365/100 % 1/d -> 1/y
nc = 4.5; % 4.50 calc dissolution order
elseif(dsflag == 2)
% ~fc^0.5*(1-om)
nc = 2.35; % 2.35 calc dissolution order
Kd = 0.12;
elseif(dsflag == 3)
% ~fc^0.5*(cs-c) % Kd defnd in DEQ
nc = 2.40; % 2.40 2.35 calc dissolution order
cst = 100.e-6; %
KS = 20.36e10; % mol/m2/y
end;
%====== shelf/deep rain
fsh = 1.00; % increase shelf rain
nshT = 1.00; %
if(ftys)
fsh = 4.50; % 4.5(1,1) 4.50/4.0(2,3)
nshT = 0.40; % 0.6(1,1) 0.35/0.6(2,3).3
end;
%----------------- sediment boxes (bathymetry) ------------%
%
if (bath == 1)
dsv = [ .1 .6 1.5 2.5 3.5 4.5 5.5 6.5]*1000;
asvA = [ 7.0297 5.1729 4.2988 8.5975 19.3421 32.4777 22.3425 0.7388]/100.;
asvI = [ 3.5710 2.6844 3.5792 10.0293 25.2598 36.6442 16.9915 1.2407]/100.;
asvP = [ 1.6358 2.5901 3.2590 6.8744 21.8550 35.0822 26.9567 1.7468]/100.;
if(ftys)
asvT = [16.3934 16.3934 16.3934 20.4918 20.4918 8.1967 1.6393 0.0001]/100.;
end;
elseif(bath == 2)
if(ftys) % 03/31/06, 2x2\deg Bice
dsv = [.1 .6 1 1.5 2. 2.5 3. 3.5 4. 4.5 5. 5.5 6.5]*1000; % depth (m)
% area fraction A I P
asvA = [1.1407 10.0216 8.7160 6.3724 4.7915 3.4973 12.2935 ...
10.7438 8.4983 11.4134 11.0948 11.4167 1e-6]/100;
asvI = [0.2501 5.5345 5.5145 8.9550 4.6283 6.5361 11.7221 ...
12.6050 14.6295 13.8384 8.0807 7.7057 1e-6]/100;
asvP = [0.1673 2.8333 3.0599 2.5389 1.4218 5.0153 9.8023 ...
14.0117 10.1975 20.0019 13.7155 17.2346 1e-6]/100;
asvT = [7.0534 46.5363 22.4068 7.1501 2.4261 3.9946 2.7063 ...
0.8532 0.9814 3.0802 2.3583 0.4533 1e-6]/100;
else %#! old 03/22/06
dsv = [.1 .6 1 1.5 2. 2.5 3. 3.5 4. 4.5 5. 5.5 6.5]*1000; % depth (m)
% area fraction A I P
asvA = [7.0297 5.1729 1.9106 2.3882 4.2988 4.2988 9.6711 ...
9.6711 16.2389 16.2389 11.1712 11.1712 0.7388]/100;
asvI = [3.5710 2.6844 1.5907 1.9884 5.0146 5.0146 12.6299 ...
12.6299 18.3221 18.3221 8.4957 8.4957 1.2407]/100;
asvP = [1.6358 2.5901 1.4484 1.8105 3.4372 3.4372 10.9275 ...
10.9275 17.5411 17.5411 13.4784 13.4784 1.7468]/100;
%if(ftys)
%asvT = [16.3934 16.3934 7.2860 9.1075 10.2459 10.2459 10.2459 ...
% 10.2459 4.0984 4.0984 0.8197 0.8197 0.0001]/100;
%end;
end; % ftys old/new
elseif(bath == 3)
dsv = [.1 .6 1 1.5 2 2.5 2.75 3 3.25 3.5 3.75 4 ...
4.25 4.5 4.75 5. 5.25 5.5 6.0 6.5]*1000; % depth (m)
% area fraction A I P
asvA = [07.0297 5.1729 1.9106 2.3882 4.2988 4.2988 4.8355 4.8355 4.8355 4.8355 8.1194 8.1194 8.1194 8.1194 5.5856 5.5856 5.5856 5.5856 0.3694 0.3694]/100;
asvI = [03.5710 2.6844 1.5907 1.9884 5.0146 5.0146 6.3149 6.3149 6.3149 6.3149 9.1610 9.1610 9.1610 9.1610 4.2479 4.2479 4.2479 4.2479 0.6204 0.6204]/100;
asvP = [01.6358 2.5901 1.4484 1.8105 3.4372 3.4372 5.4638 5.4638 5.4638 5.4638 8.7705 8.7705 8.7705 8.7705 6.7392 6.7392 6.7392 6.7392 0.8734 0.8734]/100;
if(ftys)
asvT = [16.3934 16.3934 7.2860 9.1075 10.2459 10.2459 5.1229 5.1229 5.1229 5.1229 2.0492 2.0492 2.0492 2.0492 0.4098 0.4098 0.4098 0.4098 0.0001 0.0001]/100;
end;
end;
% Number of sediment boxes
Ns = length(dsv);
onNs = ones(1,Ns);
% kLID: assign sediment to ocean boxes
% Low, Interm, or Deep
kl = find(dsv <= HLI(1));
ki = find(dsv > HLI(1) & dsv <= (HLI(1)+HLI(2)));
kd = find( dsv > (HLI(1)+HLI(2)));
klid(kl) = 01; klid(ki) = 04; klid(kd) = 07;
if(ftys)
kliT(kl) = 11; kliT(ki) = 12; kliT(kd) = 13;
end
nli = [length(kl) (length(kl)+length(ki))];
zv = [000.:10:6000.]; % z, continuous (1 or 10 m)
lzv = length(zv);
% calculate calcite saturation at depth of sediment boxes
satflg = 2; % 1/2, 1:Wally 2:Millero
zsatv = dsv;
if (satflg == 1)
as = 0.189/1.e3;
zs0 = 3.82e3; % 3.82 m
co3s0 = 88.7e-6; % 88.7 mol/kg
co3satv = co3s0*exp(as*(zsatv-zs0));
elseif(satflg == 2)
% 2. Millero
Cam = 10.3e-3; % 10.3 (mol/kg) modern
Mgm = 53.0e-3; % 53.0 (mol/kg)
Ca = Cam;
Mg = Mgm;
if(ftys)
Ca = 20.0e-3; % 10.3 20.0
Mg = 30.0e-3; % 53.0 30.0
end;
% Temp for co3sat corrected 07/13/06
Tdv = TCv(klid);
Sdv = Sv(klid);
Cadv = CAv(klid);
for k=1:Ns
[kspc(k),x] = ...
kspfunCA(Tdv(k),Sdv(k),zsatv(k)/10.,Cadv(k),Mg);
end;
co3satv = kspc./Cadv(k);
end; % satflag
kspc
%-------------- Porosity --------------------%
%phic = 0.78; % porosity 0.75 0.78
if(phic) % do NOT use exist! phic does exist (global!)
phiiA = ones(1,Ns)*phic;
phiiI = ones(1,Ns)*phic;
phiiP = ones(1,Ns)*phic;
if(ftys)
phiiT = ones(1,Ns)*phic;
end;
else % phic
phi0 = 0.85; % porosity max 0.85 0.88
gam = 0.23; % 0.23 0.28
phi1 = phi0-gam; % porosity min
end;
hs = 0.08; % (m ) bioturbated layer 0.08 0.1
VsvA = asvA*A(1)*hs; % (m3) Volume sediment boxes A
VsvI = asvI*A(2)*hs; % (m3) Volume sediment boxes I
VsvP = asvP*A(3)*hs; % (m3) Volume sediment boxes P
VsA = sum(VsvA);
VsI = sum(VsvI);
VsP = sum(VsvP);
if(ftys)
VsvT = asvT*A(11)*hs;% (m3) Volume sediment boxes T
VsT = sum(VsvT);
end;
% set initial calcite fraction
fc0A = 0.46*ones(1,Ns);
fc0I = 0.46*ones(1,Ns);
fc0P = 0.46*ones(1,Ns);
if(ftys)
fc0T = 0.46*ones(1,Ns);
end;
% calc initial phi
if(isempty(phic)) % phi = phi(fc)
FF = (phi1-phi0)/(1-phi1);
phiiA = (phi0+FF*fc0A)./(1+FF*fc0A);
phiiI = (phi0+FF*fc0I)./(1+FF*fc0I);
phiiP = (phi0+FF*fc0P)./(1+FF*fc0P);
if(ftys)
phiiT = (phi0+FF*fc0T)./(1+FF*fc0T);
end;
end;
% calc initial calcite mass
mc0vA = (fc0A.*rhos.*(1-phiiA));
mc0vI = (fc0I.*rhos.*(1-phiiI));
mc0vP = (fc0P.*rhos.*(1-phiiP));
if(ftys)
mc0vT = (fc0T.*rhos.*(1-phiiT));
end;
%====== Carbon-13
m13c0vA = Rin*mc0vA; % -> kg CaCO3/m3 Rin
m13c0vI = Rin*mc0vI; % -> kg CaCO3/m3 Rin
m13c0vP = Rin*mc0vP; % -> kg CaCO3/m3 Rin
f13c0A = fc0A.*m13c0vA./mc0vA;
f13c0I = fc0I.*m13c0vI./mc0vI;
f13c0P = fc0P.*m13c0vP./mc0vP;
if(ftys)
m13c0vT = Rin*mc0vT; % -> kg CaCO3/m3 Rin
f13c0T = fc0T.*m13c0vT./mc0vT;
end;
end; %============================== fsed END
%===============================================%
%
% Define initial conditions
%
%===============================================%
c0 = [2.30*onV]; % mmol/kg (DIC at t=0)
%c0 = [1:1:10]*.32;
a0 = [2.40*onV]; % mmol/kg (ALK at t=0)
%a0 = [1:1:10]*.33;
p0 = [2.50*onV]*1e-3; % mmol/kg (PO4 at t=0)
p0 = p0*0.87;
if(ftys == 1)
CA0 = [20.00*onV]; % FAKE VARIABLE JUST A TRY
else
CA0 = [10.30*onV];
end;
%p0 = [1:1:10]*.25*1e-3;
if(fdox)
dox0 = [0.20*onV]; % mol/m3 (O2 t=0)
%surface
for k=kkv
[x,x,x,x,x,dox0(k)] = ...
dafunPECA(1,1,TCv(k),Sv(k),Pv(k),1,1);
end;
end;
%====== Carbon-13
d13c0 = [2.35*on3 0.5*on3 0.67*on3 1.63];
if(ftys)
d13c0 = [[d13c0] 2.35 0.5 0.67];
end;
R0 = (d13c0/1e3+1.)*Rst;
cc0 = R0.*c0;
c0 = c0 *1e-3.*rho; % mol/m3
a0 = a0 *1e-3.*rho; % mol/m3
p0 = p0 *1e-3.*rho; % mol/m3
CA0 = CA0 *1e-3.*rho;
cc0 = cc0 *1e-3.*rho; % mol/m3
C0 = 280*2.2e15/12/Aoc; % 280
% (mol/m2) atm. CO2 inventory / m2
% 1 ppmv = 2.2 Pg C
%====== Carbon-13
d13C0 = -6.45;
CC0 = C0.*(d13C0/1e3+1.)*Rst;
%Y0 = [c0 a0 p0 C0 mc0vA]';
%Y0 = [c0 a0 p0 C0 mc0vA mc0vI mc0vP]';
% Nb 2Nb 3Nb 4Nb +1 +2 +2+Ns +2+2Ns +2+3Ns
% 10 20 30 40 41 42 58 74 90
%Y0 = [c0 a0 p0 cc0 C0 CC0 mc0vA mc0vI mc0vP]';
if(fsed) %<<<<<<<<<<<<<<<<<<<<<<< fsed
if(fdox) % fdox
% Nb 2Nb 3Nb 4Nb 5Nb +1 +2 +2+Ns +2+2Ns +2+3Ns
% 10 20 30 40 50 51 52 65 78 91
Y0 = [c0 a0 p0 CA0 dox0 cc0 C0 CC0 fc0A fc0I fc0P ...
f13c0A f13c0I f13c0P]';
% +2+4Ns +2+5Ns +2+6Ns
% 104 117 130
else % fdox
% Nb 2Nb 3Nb 4Nb +1 +2 +2+Ns +2+2Ns +2+3Ns
% 10 20 30 40 41 42 55 68 81
Y0 = [c0 a0 p0 CA0 cc0 C0 CC0 fc0A fc0I fc0P ...
f13c0A f13c0I f13c0P]';
% +2+4Ns +2+5Ns +2+6Ns
% 94 107 120
end; % fdox
if(ftys) % ftys
if(fdox) % fdox
Y0 = [c0 a0 p0 CA0 dox0 cc0 C0 CC0 fc0A fc0I fc0P ...
f13c0A f13c0I f13c0P ...
fc0T f13c0T]';
else % fdox
Y0 = [c0 a0 p0 CA0 cc0 C0 CC0 fc0A fc0I fc0P ...
f13c0A f13c0I f13c0P ...
fc0T f13c0T]';
end; % fdox
end; % ftys
else
if(fdox) % fdox
Y0 = [c0 a0 p0 CA0 dox0 cc0 C0 CC0]';
else % fdox
Y0 = [c0 a0 p0 CA0 cc0 C0 CC0]';
end; % fdox
end; %<<<<<<<<<<<<<<<<<<<<<<< fsed
% Number of ocean tracer (not atm, not sediment)
if(fdox)
NO = 6; % c a p ca ox cc
else
NO = 5; % c a p ca cc
end;
% set integration time
t0 = 0e5; % (y) time (start)
if (BlFlag == 1)
tfinal = 2e5; % (y) time (end) 2e5
elseif(BlFlag == 2)
tfinal = 2e5; % (y) time (end) 2e5 7e5
else
tfinal = 1e7; % (y) time (end) 1e7
end;
%==== Anthropogenic CO2 ======================%
if(ffflag)
t0 = 1700.; % 1700.
tfinal = 3000.; % 2100 3000 10000
%load 'dat\co2PEm.tex';
dirstr = '1000_0500.dat';
co2PEm = load(['dat\Emss\EmssScen\' dirstr]);
tem = co2PEm(:,1);
em = co2PEm(:,2);
% deep sea temp
Dtst = 0.0;
k1st = -1;
TCvt(1,:) = TCv0;
end;
Dt = tfinal-t0;
%===============================================%
%
% Alternatively, load initial conditions
%
%===============================================%
if (loadf == 1)
% load YPE10Sed.DAT;
% load dat\Modern\NoSed0\YPE10Sed.DAT;
if (bath == 1)
% load dat\Modern\B1D1BL0\YPE10Sed;
% load dat\B1D1BL0\YPE10Sed;
% load dat\B1D3BL0\YPE10Sed;
elseif(bath == 2 && CAvflag == 2)
load dat\PETMCa\YPE10SedCAv1.DAT
elseif(bath == 2 && CAvflag == 1)
load dat\PETMCa\YPE10SedCA1.DAT
%% load dat\Modern\B2D3BL0\YPE10Sed.DAT;
% load dat\Modern\CO2XLS\YPE10Sed.DAT;
% load dat\B2D1BL0\YPE10Sed;
%% load dat\B2D3BL0\YPE10Sed.DAT;
% load dat\B2D3BL0\Lpco2\YPE10Sed.DAT;
% load dat\B2D3BL0\Hpco2\YPE10Sed.DAT;
elseif(bath == 3)
% load dat\B3D3BL0\YPE10Sed;
end;
if(CAvflag == 2)
Y0 = YPE10SedCAv1;
else
Y0 = YPE10SedCA1;
end;
CBl = 3000.e15; % Blast 2200 2000 3000 n2500
d13CBl = -50.; % Blast d13C -55 -60 -34 n-50
RBl = Rst*(d13CBl/1.e3+1.);
C13Bl = RBl*CBl;
kb = 07; % 07
kbb = kb+3*Nb;
if(BlFlag == 1)
Y0(6*Nb+1) = Y0(6*Nb+1) + CBl/12/Aoc; % add X Gt C atm:/Aoc
Y0(6*Nb+2) = Y0(6*Nb+2) +C13Bl/12/Aoc; % add X Gt C atm:/Aoc
% Y0(kb) = Y0(kb) + CBl/12/V(kb); % add X Gt C ocn:/V2
% Y0(kbb) = Y0(kbb)+C13Bl/12/V(kb); % add X Gt C ocn:/V2
end;
end;
% adjust PO4
%Y0(2*Nb+1:3*Nb) = Y0(2*Nb+1:3*Nb)*0.87;
if(savf == 1 && ftys == 1)
Y0(2*Nb+1:3*Nb) = Y0(2*Nb+1:3*Nb)*1.0133; %THIS ONLY WHEN CALC ST. ST
elseif(savf == 1 && ftys == 0)
Y0(2*Nb+1:3*Nb) = Y0(2*Nb+1:3*Nb);
end;
%Y0(3*Nb+1:4*Nb) = Y0(3*Nb+1:4*Nb)*1.1;
%Y0(2*Nb+1:3*Nb) = Y0(2*Nb+1:3*Nb)*1.2;
% set initial Oxygen
%Y0(3*Nb+1:4*Nb) = dox0;
% adjust TCO2
%Y0( 1: Nb) = Y0( 1: Nb)/1.03;
%Y0(Nb+1:2*Nb) = Y0(Nb+1:2*Nb)/1.03;
% loadf
% initial inventory
Mci = sum(Y0( 1: Nb).*V')/Voc ... % TC inventory/V
+Y0(NO*Nb+1 ) *Aoc/Voc; % atmosphere
Mai = sum(Y0( Nb+1:2*Nb).*V')/Voc; % TA inventory/V
Mpi = sum(Y0( 2*Nb+1:3*Nb).*V')/Voc; % P inventory/V
MCAi = sum(Y0( 3*Nb+1:4*Nb).*V')/Voc; % THIS ADDED!!!!!!!!!!!!
Mcci = sum(Y0( 4*Nb+1:5*Nb).*V')/Voc ... % T13C inventory/V
+Y0(NO*Nb+2 ) *Aoc/Voc; % atmosphere
% initial total C inventory ocean+atm (Pg C)
Mci*Voc*12/1e15;
if(fsed) % fsed
if(fdox) % fdox
fc0A = Y0(6*Nb+3 :6*Nb+2+1*Ns);
fc0I = Y0(6*Nb+3+1*Ns:6*Nb+2+2*Ns);
fc0P = Y0(6*Nb+3+2*Ns:6*Nb+2+3*Ns);
f13c0A = Y0(6*Nb+3+3*Ns:6*Nb+2+4*Ns);
f13c0I = Y0(6*Nb+3+4*Ns:6*Nb+2+5*Ns);
f13c0P = Y0(6*Nb+3+5*Ns:6*Nb+2+6*Ns);
if(ftys)
fc0T = Y0(6*Nb+3+6*Ns:6*Nb+2+7*Ns);
f13c0T = Y0(6*Nb+3+7*Ns:6*Nb+2+8*Ns);
end
else % fdox
fc0A = Y0(5*Nb+3 :5*Nb+2+1*Ns)
fc0I = Y0(5*Nb+3+1*Ns:5*Nb+2+2*Ns)
fc0P = Y0(5*Nb+3+2*Ns:5*Nb+2+3*Ns);
f13c0A = Y0(5*Nb+3+3*Ns:5*Nb+2+4*Ns);
f13c0I = Y0(5*Nb+3+4*Ns:5*Nb+2+5*Ns);
f13c0P = Y0(5*Nb+3+5*Ns:5*Nb+2+6*Ns);
if(ftys)
fc0T = Y0(5*Nb+3+6*Ns:5*Nb+2+7*Ns);
f13c0T = Y0(5*Nb+3+7*Ns:5*Nb+2+8*Ns);
end
end % fdox
% calc initial phi
if(isempty(phic)) % phi = phi(fc)
FF = (phi1-phi0)/(1-phi1);
phiiA = (phi0+FF*fc0A)./(1+FF*fc0A);
phiiI = (phi0+FF*fc0I)./(1+FF*fc0I);
phiiP = (phi0+FF*fc0P)./(1+FF*fc0P);
if(ftys) % ftys
phiiT = (phi0+FF*fc0T)./(1+FF*fc0T);
end; % ftys
end; % phi = phi(fc)
end; % fsed
% get derivatives at t0
dYflag = 0;
dY0dt = LoscarDif9(t0,Y0);
% output format
format compact;
%++++++++++++++++++++++ SOLVER ++++++++++++++++++++++++++%
%
% solve differential equations.
% use matlab routine ode (Runge-Kutta)
% with function '....dif' containing the difeq.
%
% set options, 'RelTol' (1e-3 by default)
% 'AbsTol' (all components 1e-6 by default).
%++++++++++++++++++++++++++++++++++++++++++++++++++++++++%
%options = odeset('RelTol',1e-3,'AbsTol',1e-4);
options = odeset('RelTol',1e-3,'AbsTol',1e-3);
%options = odeset('RelTol',1e-5,'AbsTol',1e-5);
if(ffflag) % 0.05*Dt pH-Contour: -3,-4
options = odeset('RelTol',1e-3,'AbsTol',1e-4,'Maxstep',0.05*Dt);
%options = odeset('RelTol',1e-4,'AbsTol',1e-4,'Maxstep',0.05*Dt);
end;
tic % start clock
[tv,Y] = myode15s('LoscarDif9',[t0 tfinal],Y0',options); % 23t 15s
toc % stop clock
lt = length(tv);
% save solution Y(end)
if (savf == 1 && CAvflag == 2)
YPE10SedCAv1 = Y(lt,:)';
save dat\PETMCa\YPE10SedCAv1.DAT YPE10SedCAv1 -ASCII -DOUBLE -TABS;
elseif (savf == 1 && CAvflag == 1)
YPE10SedCA1 = Y(lt,:)';
save dat\PETMCa\YPE10SedCA1.DAT YPE10SedCA1 -ASCII -DOUBLE -TABS;
%save dat\Modern\B2D3BL0\YPE10Sed.DAT YPE10Sed -ASCII -DOUBLE -TABS;
%save dat\Modern\NoSed0\YPE10Sed.DAT YPE10Sed -ASCII -DOUBLE -TABS;
%save dat\B2D3BL0\YPE10Sed.DAT YPE10Sed -ASCII -DOUBLE -TABS; % <------
%save dat\B2D3BL0\Lpco2\YPE10Sed.DAT YPE10Sed -ASCII -DOUBLE -TABS;
%save dat\B2D3BL0\Hpco2\YPE10Sed.DAT YPE10Sed -ASCII -DOUBLE -TABS;
%save dat\Modern\CO2XLS\YPE10Sed.DAT YPE10Sed -ASCII -DOUBLE -TABS;
end;
axx = [t0 tfinal];
if(ftys)
axx = [-0.5e5 tfinal];
end;
end; %%%%%%% solflag
% call dif again at all t to get dYdt(t)
% plus other vars & fluxes
% ############### check if temp changes !!!!!!!!
dYflag = 1;
if(dYflag == 1)
it = 1;
dYdt = ones(size(Y'));
for i=1:lt
dYdt(:,i) = LoscarDif9(tv(i),Y(i,:)');
end;
end;
%===============================================%
% Rename variables (solution was stored in Y)
%===============================================%
if(fsed)
% values sed-boxes
for l=1:Ns
fcA (:,l) = Y( :,l+NO*Nb+2 ); %
fcI (:,l) = Y( :,l+NO*Nb+2+ Ns); %
fcP (:,l) = Y( :,l+NO*Nb+2+2*Ns); %
mcalA(:,l) = Y( :,l+NO*Nb+2 ).*(rhos*(1-phivtA(:, l)));
mcalI(:,l) = Y( :,l+NO*Nb+2+ Ns).*(rhos*(1-phivtI(:, l)));
mcalP(:,l) = Y( :,l+NO*Nb+2+2*Ns).*(rhos*(1-phivtP(:, l)));
McalvA( l) = Y(lt,l+NO*Nb+2 ).*(rhos*(1-phivtA(lt,l)));
McalvI( l) = Y(lt,l+NO*Nb+2+ Ns).*(rhos*(1-phivtI(lt,l)));
McalvP( l) = Y(lt,l+NO*Nb+2+2*Ns).*(rhos*(1-phivtP(lt,l)));
%====== Carbon 13
f13cA (:,l) = Y( :,l+NO*Nb+2+3*Ns); %
f13cI (:,l) = Y( :,l+NO*Nb+2+4*Ns); %
f13cP (:,l) = Y( :,1+NO*Nb+2+5*Ns); % !!!!!!!THIS CHANGED!!!!!!
m13calA(:,l) = mcalA( :,l).*f13cA( :,l)./fcA( :,l);
m13calI(:,l) = mcalI( :,l).*f13cI( :,l)./fcI( :,l);
m13calP(:,l) = mcalP( :,l).*f13cP( :,l)./fcP( :,l);
M13calvA( l) = mcalA(lt,l).*f13cA(lt,l)./fcA(lt,l);
M13calvI( l) = mcalI(lt,l).*f13cI(lt,l)./fcI(lt,l);
M13calvP( l) = mcalP(lt,l).*f13cP(lt,l)./fcP(lt,l);
if(ftys)
fcT (:,l) = Y( :,l+NO*Nb+2+6*Ns); %
f13cT (:,l) = Y( :,l+NO*Nb+2+7*Ns); %
mcalT (:,l) = Y( :,l+NO*Nb+2+6*Ns).*(rhos*(1-phivtT(:, l)));
McalvT ( l) = Y(lt,l+NO*Nb+2+6*Ns).*(rhos*(1-phivtT(lt,l)));
m13calT(:,l) = mcalT( :,l).*f13cT( :,l)./fcT( :,l);
M13calvT( l) = mcalT(lt,l).*f13cT(lt,l)./fcT(lt,l);
end;
end;
% final Mcal and fc
McalA = sum(McalvA.*VsvA)/VsA;
McalI = sum(McalvI.*VsvI)/VsI;
McalP = sum(McalvP.*VsvP)/VsP;
fcfA = fcA(lt,:);
fcfI = fcI(lt,:);
fcfP = fcP(lt,:);
%====== Carbon 13
M13calA = sum(M13calvA.*VsvA)/VsA;
M13calI = sum(M13calvI.*VsvI)/VsI;
M13calP = sum(M13calvP.*VsvP)/VsP;
f13cfA = f13cA(lt,:);
f13cfI = f13cI(lt,:);
f13cfP = f13cP(lt,:);
% test: Average must equal Rin
RsAf = (f13cfA./fcfA/Rst-1)*1e3;
RsIf = (f13cfI./fcfI/Rst-1)*1e3;
RsPf = (f13cfP./fcfP/Rst-1)*1e3;
if(ftys)
McalT = sum(McalvT.*VsvT)/VsT;
fcfT = fcT(lt,:);
M13calT = sum(M13calvT.*VsvT)/VsT;
f13cfT = f13cT(lt,:);
RsTf = (f13cfT./fcfT/Rst-1)*1e3;
end;