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366 lines
16 KiB
Plaintext
366 lines
16 KiB
Plaintext
Input file: ../examples/ex17
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Output file: ex17.out
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Database file: ../database/pitzer.dat
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------------------
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Reading data base.
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------------------
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SOLUTION_MASTER_SPECIES
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SOLUTION_SPECIES
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PHASES
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PITZER
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EXCHANGE_MASTER_SPECIES
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EXCHANGE_SPECIES
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SURFACE_MASTER_SPECIES
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SURFACE_SPECIES
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END
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------------------------------------
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Reading input data for simulation 1.
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------------------------------------
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TITLE Example 17.--Inverse modeling of Black Sea water evaporation
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SOLUTION 1 Black Sea water
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units mg/L
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density 1.014
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pH 8.0 # estimated
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Ca 233
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Mg 679
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Na 5820
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K 193
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S(6) 1460
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Cl 10340
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Br 35
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C 1 CO2(g) -3.5
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SOLUTION 2 Composition during halite precipitation
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units mg/L
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density 1.271
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pH 5.0 # estimated
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Ca 0.0
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Mg 50500
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Na 55200
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K 15800
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S(6) 76200
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Cl 187900
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Br 2670
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C 1 CO2(g) -3.5
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INVERSE_MODELING
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solutions 1 2
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uncertainties .025
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range
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balances
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Br
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K
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Mg
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phases
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H2O(g) pre
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Calcite pre
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CO2(g) pre
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Gypsum pre
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Halite pre
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Glauberite pre
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Polyhalite pre
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END
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-----
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TITLE
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-----
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Example 17.--Inverse modeling of Black Sea water evaporation
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-------------------------------------------
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Beginning of initial solution calculations.
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-------------------------------------------
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Initial solution 1. Black Sea water
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-----------------------------Solution composition------------------------------
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Elements Molality Moles
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Br 4.401e-04 4.401e-04
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C 8.425e-04 8.425e-04 Equilibrium with CO2(g)
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Ca 5.841e-03 5.841e-03
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Cl 2.930e-01 2.930e-01
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K 4.960e-03 4.960e-03
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Mg 2.807e-02 2.807e-02
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Na 2.544e-01 2.544e-01
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S(6) 1.527e-02 1.527e-02
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----------------------------Description of solution----------------------------
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pH = 8.000
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pe = 4.000
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Specific Conductance (<28>S/cm, 25<32>C) = 31377
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Density (g/cm<63>) = 1.01092
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Volume (L) = 1.00789
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Activity of water = 0.990
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Ionic strength = 3.752e-01
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Mass of water (kg) = 1.000e+00
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Total alkalinity (eq/kg) = 8.655e-04
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Total CO2 (mol/kg) = 8.425e-04
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Temperature (<28>C) = 25.00
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Electrical balance (eq) = 2.253e-03
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Percent error, 100*(Cat-|An|)/(Cat+|An|) = 0.35
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Iterations = 9
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Gamma iterations = 3
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Osmotic coefficient = 0.89876
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Density of water = 0.99704
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Total H = 1.110132e+02
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Total O = 5.556982e+01
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----------------------------Distribution of species----------------------------
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MacInnes MacInnes
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MacInnes Log Log Log mole V
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Species Molality Activity Molality Activity Gamma cm<63>/mol
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OH- 1.670e-06 1.002e-06 -5.777 -5.999 -0.222 -3.15
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H+ 1.289e-08 1.000e-08 -7.890 -8.000 -0.110 0.00
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H2O 5.551e+01 9.903e-01 1.744 -0.004 0.000 18.07
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Br 4.401e-04
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Br- 4.401e-04 3.006e-04 -3.356 -3.522 -0.166 25.17
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C(4) 8.425e-04
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HCO3- 8.017e-04 4.931e-04 -3.096 -3.307 -0.211 25.91
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CO3-2 1.603e-05 2.258e-06 -4.795 -5.646 -0.851 -1.35
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MgCO3 1.441e-05 1.441e-05 -4.841 -4.841 0.000 -17.09
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CO2 1.033e-05 1.093e-05 -4.986 -4.961 0.024 29.09
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Ca 5.841e-03
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Ca+2 5.841e-03 1.477e-03 -2.233 -2.831 -0.597 -16.97
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Cl 2.930e-01
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Cl- 2.930e-01 1.962e-01 -0.533 -0.707 -0.174 18.61
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K 4.960e-03
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K+ 4.960e-03 3.421e-03 -2.305 -2.466 -0.161 9.48
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Mg 2.807e-02
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Mg+2 2.805e-02 7.533e-03 -1.552 -2.123 -0.571 -20.69
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MgCO3 1.441e-05 1.441e-05 -4.841 -4.841 0.000 -17.09
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MgOH+ 1.246e-06 1.158e-06 -5.904 -5.936 -0.032 (0)
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Na 2.544e-01
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Na+ 2.544e-01 1.837e-01 -0.595 -0.736 -0.141 -0.74
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S(6) 1.527e-02
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SO4-2 1.527e-02 2.124e-03 -1.816 -2.673 -0.857 17.32
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HSO4- 2.958e-09 2.023e-09 -8.529 -8.694 -0.165 40.79
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------------------------------Saturation indices-------------------------------
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Phase SI** log IAP log K(298 K, 1 atm)
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Anhydrite -1.28 -5.50 -4.22 CaSO4
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Aragonite -0.26 -8.48 -8.22 CaCO3
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Arcanite -5.83 -7.60 -1.78 K2SO4
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Bischofite -8.02 -3.56 4.46 MgCl2:6H2O
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Bloedite -6.61 -8.96 -2.35 Na2Mg(SO4)2:4H2O
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Brucite -3.24 -14.12 -10.88 Mg(OH)2
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Burkeite -14.64 -15.41 -0.77 Na6CO3(SO4)2
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Calcite -0.07 -8.48 -8.41 CaCO3
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Carnallite -11.07 -6.74 4.33 KMgCl3:6H2O
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CO2(g) -3.50 -4.96 -1.46 CO2 Pressure 0.0 atm, phi 1.000
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Dolomite 0.84 -16.25 -17.08 CaMg(CO3)2
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Epsomite -2.94 -4.83 -1.88 MgSO4:7H2O
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Gaylussite -6.20 -15.62 -9.42 CaNa2(CO3)2:5H2O
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Glaserite -9.68 -13.48 -3.80 NaK3(SO4)2
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Glauberite -4.40 -9.65 -5.25 Na2Ca(SO4)2
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Gypsum -0.93 -5.51 -4.58 CaSO4:2H2O
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H2O(g) -1.51 -0.00 1.50 H2O
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Halite -3.01 -1.44 1.57 NaCl
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Hexahydrite -3.19 -4.82 -1.63 MgSO4:6H2O
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Kainite -7.79 -7.98 -0.19 KMgClSO4:3H2O
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Kalicinite -6.05 -16.11 -10.06 KHCO3
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Kieserite -4.68 -4.80 -0.12 MgSO4:H2O
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Labile_S -8.13 -13.80 -5.67 Na4Ca(SO4)3:2H2O
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Leonhardite -3.93 -4.81 -0.89 MgSO4:4H2O
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Leonite -8.44 -12.42 -3.98 K2Mg(SO4)2:4H2O
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Magnesite 0.06 -7.77 -7.83 MgCO3
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Mirabilite -2.97 -4.19 -1.21 Na2SO4:10H2O
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Misenite -75.63 -86.44 -10.81 K8H6(SO4)7
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Nahcolite -3.64 -14.38 -10.74 NaHCO3
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Natron -6.34 -7.16 -0.82 Na2CO3:10H2O
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Nesquehonite -2.62 -7.78 -5.17 MgCO3:3H2O
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Pentahydrite -3.53 -4.82 -1.28 MgSO4:5H2O
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Pirssonite -6.37 -15.60 -9.23 Na2Ca(CO3)2:2H2O
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Polyhalite -9.67 -23.42 -13.74 K2MgCa2(SO4)4:2H2O
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Portlandite -9.64 -14.83 -5.19 Ca(OH)2
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Schoenite -8.10 -12.43 -4.33 K2Mg(SO4)2:6H2O
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Sylvite -4.07 -3.17 0.90 KCl
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Syngenite -5.66 -13.11 -7.45 K2Ca(SO4)2:H2O
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Thenardite -3.79 -4.14 -0.35 Na2SO4
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Trona -10.12 -21.51 -11.38 Na3H(CO3)2:2H2O
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**For a gas, SI = log10(fugacity). Fugacity = pressure * phi / 1 atm.
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For ideal gases, phi = 1.
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Initial solution 2. Composition during halite precipitation
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-----------------------------Solution composition------------------------------
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Elements Molality Moles
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Br 3.785e-02 3.785e-02
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C 7.178e-06 7.178e-06 Equilibrium with CO2(g)
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Cl 6.004e+00 6.004e+00
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K 4.578e-01 4.578e-01
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Mg 2.354e+00 2.354e+00
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Na 2.720e+00 2.720e+00
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S(6) 8.986e-01 8.986e-01
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----------------------------Description of solution----------------------------
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pH = 5.000
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pe = 4.000
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Specific Conductance (<28>S/cm, 25<32>C) = 599384
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Density (g/cm<63>) = 1.27230
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Volume (L) = 1.13169
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Activity of water = 0.680
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Ionic strength = 1.111e+01
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Mass of water (kg) = 1.000e+00
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Total alkalinity (eq/kg) = 7.757e-06
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Total CO2 (mol/kg) = 7.178e-06
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Temperature (<28>C) = 25.00
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Electrical balance (eq) = 4.629e-02
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Percent error, 100*(Cat-|An|)/(Cat+|An|) = 0.29
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Iterations = 16
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Gamma iterations = 7
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Osmotic coefficient = 1.71320
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Density of water = 0.99704
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Total H = 1.110124e+02
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Total O = 5.910065e+01
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----------------------------Distribution of species----------------------------
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MacInnes MacInnes
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MacInnes Log Log Log mole V
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Species Molality Activity Molality Activity Gamma cm<63>/mol
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H+ 5.590e-07 1.000e-05 -6.253 -5.000 1.253 0.00
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OH- 1.209e-08 6.888e-10 -7.918 -9.162 -1.244 11.12
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H2O 5.551e+01 6.805e-01 1.744 -0.167 0.000 18.07
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Br 3.785e-02
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Br- 3.785e-02 4.959e-02 -1.422 -1.305 0.117 26.34
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C(4) 7.178e-06
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HCO3- 4.537e-06 3.388e-07 -5.343 -6.470 -1.127 46.24
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CO2 2.568e-06 1.093e-05 -5.590 -4.961 0.629 29.09
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MgCO3 6.745e-08 6.745e-08 -7.171 -7.171 0.000 -17.09
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CO3-2 5.816e-09 1.551e-12 -8.235 -11.809 -3.574 14.97
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Cl 6.004e+00
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Cl- 6.004e+00 4.520e+00 0.778 0.655 -0.123 20.71
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K 4.578e-01
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K+ 4.578e-01 4.795e-01 -0.339 -0.319 0.020 14.34
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Mg 2.354e+00
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Mg+2 2.354e+00 5.130e+01 0.372 1.710 1.338 -15.59
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MgOH+ 6.305e-06 5.420e-06 -5.200 -5.266 -0.066 (0)
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MgCO3 6.745e-08 6.745e-08 -7.171 -7.171 0.000 -17.09
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Na 2.720e+00
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Na+ 2.720e+00 8.690e+00 0.435 0.939 0.504 2.22
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S(6) 8.986e-01
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SO4-2 8.986e-01 2.278e-03 -0.046 -2.643 -2.596 30.60
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HSO4- 2.684e-06 2.170e-06 -5.571 -5.664 -0.092 42.44
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------------------------------Saturation indices-------------------------------
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Phase SI** log IAP log K(298 K, 1 atm)
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Arcanite -1.50 -3.28 -1.78 K2SO4
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Bischofite -2.44 2.02 4.46 MgCl2:6H2O
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Bloedite -0.02 -2.37 -2.35 Na2Mg(SO4)2:4H2O
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Brucite -5.73 -16.61 -10.88 Mg(OH)2
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Burkeite -10.69 -11.46 -0.77 Na6CO3(SO4)2
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Carnallite -1.98 2.35 4.33 KMgCl3:6H2O
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CO2(g) -3.50 -4.96 -1.46 CO2 Pressure 0.0 atm, phi 1.000
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Epsomite -0.22 -2.10 -1.88 MgSO4:7H2O
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Glaserite -1.50 -5.30 -3.80 NaK3(SO4)2
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H2O(g) -1.67 -0.17 1.50 H2O
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Halite 0.02 1.59 1.57 NaCl
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Hexahydrite -0.30 -1.94 -1.63 MgSO4:6H2O
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Kainite -0.90 -1.10 -0.19 KMgClSO4:3H2O
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Kalicinite -7.07 -17.13 -10.06 KHCO3
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Kieserite -0.98 -1.10 -0.12 MgSO4:H2O
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Leonhardite -0.71 -1.60 -0.89 MgSO4:4H2O
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Leonite -0.90 -4.88 -3.98 K2Mg(SO4)2:4H2O
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Magnesite -2.27 -10.10 -7.83 MgCO3
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Mirabilite -1.22 -2.44 -1.21 Na2SO4:10H2O
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Misenite -40.25 -51.05 -10.81 K8H6(SO4)7
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Nahcolite -5.13 -15.87 -10.74 NaHCO3
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Natron -10.78 -11.60 -0.82 Na2CO3:10H2O
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Nesquehonite -5.43 -10.60 -5.17 MgCO3:3H2O
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Pentahydrite -0.48 -1.77 -1.28 MgSO4:5H2O
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Schoenite -0.89 -5.22 -4.33 K2Mg(SO4)2:6H2O
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Sylvite -0.56 0.34 0.90 KCl
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Thenardite -0.41 -0.76 -0.35 Na2SO4
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Trona -14.75 -26.14 -11.38 Na3H(CO3)2:2H2O
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**For a gas, SI = log10(fugacity). Fugacity = pressure * phi / 1 atm.
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For ideal gases, phi = 1.
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---------------------------------------------
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Beginning of inverse modeling 1 calculations.
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---------------------------------------------
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Using Cl1 standard precision optimization routine.
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Solution 1: Black Sea water
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Input Delta Input+Delta
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pH 8.000e+00 + 0.000e+00 = 8.000e+00
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Alkalinity 8.655e-04 + 0.000e+00 = 8.655e-04
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Br 4.401e-04 + 0.000e+00 = 4.401e-04
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C(4) 8.425e-04 + 0.000e+00 = 8.425e-04
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Ca 5.841e-03 + 0.000e+00 = 5.841e-03
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Cl 2.930e-01 + 8.006e-04 = 2.938e-01
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K 4.960e-03 + 1.034e-04 = 5.063e-03
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Mg 2.807e-02 + -7.018e-04 = 2.737e-02
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Na 2.544e-01 + 0.000e+00 = 2.544e-01
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S(6) 1.527e-02 + 7.631e-05 = 1.535e-02
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Solution 2: Composition during halite precipitation
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Input Delta Input+Delta
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pH 5.000e+00 + 0.000e+00 = 5.000e+00
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Alkalinity 7.757e-06 + -1.939e-07 = 7.563e-06
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Br 3.785e-02 + 9.440e-04 = 3.880e-02
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C(4) 7.178e-06 + 1.795e-07 = 7.358e-06
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Ca 0.000e+00 + 0.000e+00 = 0.000e+00
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Cl 6.004e+00 + 1.501e-01 = 6.154e+00
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K 4.578e-01 + -1.144e-02 = 4.464e-01
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Mg 2.354e+00 + 5.884e-02 = 2.413e+00
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Na 2.720e+00 + -4.642e-02 = 2.674e+00
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S(6) 8.986e-01 + -2.247e-02 = 8.761e-01
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Solution fractions: Minimum Maximum
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Solution 1 8.815e+01 8.780e+01 8.815e+01
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Solution 2 1.000e+00 1.000e+00 1.000e+00
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Phase mole transfers: Minimum Maximum
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H2O(g) -4.837e+03 -4.817e+03 -4.817e+03 H2O
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Calcite -3.814e-02 -3.910e-02 -3.704e-02 CaCO3
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CO2(g) -3.612e-02 -3.893e-02 -3.317e-02 CO2
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Gypsum -4.768e-01 -4.906e-01 -4.611e-01 CaSO4:2H2O
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Halite -1.975e+01 -2.033e+01 -1.901e+01 NaCl
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Redox mole transfers:
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Sum of residuals (epsilons in documentation): 1.926e+02
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Sum of delta/uncertainty limit: 9.823e+00
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Maximum fractional error in element concentration: 2.500e-02
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Model contains minimum number of phases.
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===============================================================================
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Summary of inverse modeling:
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Number of models found: 1
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Number of minimal models found: 1
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Number of infeasible sets of phases saved: 11
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Number of calls to cl1: 29
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------------------
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End of simulation.
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------------------
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------------------------------------
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Reading input data for simulation 2.
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------------------------------------
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------------------------------
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End of Run after 0.02 Seconds.
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------------------------------
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