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refactor the tian approximation in the reactive fluid transport model
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danieldouglas92 committed Nov 25, 2024
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Expand Up @@ -229,10 +229,12 @@ subsection Material model
# values to encourage water to hydrate the overlying mantle. The polynomials defined
# in Tian et al., 2019 also reach very large values at low P-T conditions, and so limiting
# the weight percent to reasonable values is recommended.
set Maximum weight percent water in peridotite = 2
set Maximum weight percent water in gabbro = 1
set Maximum weight percent water in MORB = 2
set Maximum weight percent water in sediment = 3
subsection Tian 2019 model
set Maximum weight percent water in peridotite = 2
set Maximum weight percent water in gabbro = 1
set Maximum weight percent water in MORB = 2
set Maximum weight percent water in sediment = 3
end
end

subsection Visco Plastic
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159 changes: 159 additions & 0 deletions include/aspect/material_model/reaction_model/tian2019_solubility.h
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/*
Copyright (C) 2024 by the authors of the ASPECT code.
This file is part of ASPECT.
ASPECT is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2, or (at your option)
any later version.
ASPECT is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with ASPECT; see the file LICENSE. If not see
<http://www.gnu.org/licenses/>.
*/

#ifndef _aspect_material_reaction_melt_tian2019_solubility_h
#define _aspect_material_reaction_melt_tian2019_solubility_h

#include <aspect/material_model/interface.h>
#include <aspect/simulator_access.h>
#include <aspect/melt.h>
#include <aspect/utilities.h>


namespace aspect
{
namespace MaterialModel
{
using namespace dealii;

namespace ReactionModel
{

/**
* A melt model that calculates melt fraction and entropy change
* according to the melting model for dry peridotite of Katz, 2003.
* This also includes a computation of the latent heat of melting (if the latent heat
* heating model is active).
*
* These functions can be used in the calculation of melting and melt transport
* in the melt_simple material model and can be extended to other material models
*
* @ingroup ReactionModel
*/
template <int dim>
class Tian2019Solubility : public ::aspect::SimulatorAccess<dim>
{
public:
// constructor
Tian2019Solubility();

/**
* Declare the parameters this function takes through input files.
*/
static
void
declare_parameters (ParameterHandler &prm);

/**
* Read the parameters from the parameter file.
*/
void
parse_parameters (ParameterHandler &prm);


/**
* Compute the free fluid fraction that can be present in the material based on the
* fluid content of the material and the fluid solubility for the given input conditions.
* @p in and @p melt_fractions need to have the same size.
*
* @param in Object that contains the current conditions.
* @param melt_fractions Vector of doubles that is filled with the
* allowable free fluid fraction for each given input conditions.
*/
double
melt_fraction (const MaterialModel::MaterialModelInputs<dim> &in,
const unsigned int porosity_idx,
unsigned int q) const;

/**
* Compute the maximum allowed bound water content at the input
* pressure and temperature conditions. This is used to determine
* how free water interacts with the solid phase.
* @param in Object that contains the current conditions.
* @param q unsigned int from 0-3 indexing which rock phase the equilbrium
* bound water content is being calculated for
*/
std::vector<double> tian_equilibrium_bound_water_content(const MaterialModel::MaterialModelInputs<dim> &in,
unsigned int q) const;

private:
/**
* Parameters for the solubility model of Tian et al., 2019.
*/

/**
* The maximum water content for each of the 4 rock types in the tian approximation
* method. These are important for keeping the polynomial bounded within reasonable
* values.
*/
double tian_max_peridotite_water;
double tian_max_gabbro_water;
double tian_max_MORB_water;
double tian_max_sediment_water;

/**
*
* The following coefficients are taken from a publication from Tian et al., 2019, and can be found
* in Table 3 (Gabbro), Table B1 (MORB), Table B2 (Sediments) and Table B3 (peridotite).
* LR refers to the effective enthalpy change for devolatilization reactions,
* csat is the saturated mass fraction of water in the solid, and Td is the
* onset temperature of devolatilization for water.
*/
std::vector<double> LR_peridotite_poly_coeffs {-19.0609, 168.983, -630.032, 1281.84, -1543.14, 1111.88, -459.142, 95.4143, 1.97246};
std::vector<double> csat_peridotite_poly_coeffs {0.00115628, 2.42179};
std::vector<double> Td_peridotite_poly_coeffs {-15.4627, 94.9716, 636.603};

std::vector<double> LR_gabbro_poly_coeffs {-1.81745, 7.67198, -10.8507, 5.09329, 8.14519};
std::vector<double> csat_gabbro_poly_coeffs {-0.0176673, 0.0893044, 1.52732};
std::vector<double> Td_gabbro_poly_coeffs {-1.72277, 20.5898, 637.517};

std::vector<double> LR_MORB_poly_coeffs {-1.78177, 7.50871, -10.4840, 5.19725, 7.96365};
std::vector<double> csat_MORB_poly_coeffs {0.0102725, -0.115390, 0.324452, 1.41588};
std::vector<double> Td_MORB_poly_coeffs {-3.81280, 22.7809, 638.049};

std::vector<double> LR_sediment_poly_coeffs {-2.03283, 10.8186, -21.2119, 18.3351, -6.48711, 8.32459};
std::vector<double> csat_sediment_poly_coeffs {-0.150662, 0.301807, 1.01867};
std::vector<double> Td_sediment_poly_coeffs {2.83277, -24.7593, 85.9090, 524.898};

/**
* The polynomials breakdown above certain pressures, 10 GPa for peridotite, 26 GPa for gabbro, 16 GPa for MORB,
* and 50 GPa for sediment. These cutoff pressures were determined by extending the pressure range in Tian et al. (2019)
* and observing where the maximum allowed water contents jump towards infinite values.
*/
const std::vector<double> pressure_cutoffs {10, 26, 16, 50};

std::vector<std::vector<double>> devolatilization_enthalpy_changes {LR_peridotite_poly_coeffs, LR_gabbro_poly_coeffs, \
LR_MORB_poly_coeffs, LR_sediment_poly_coeffs
};

std::vector<std::vector<double>> water_mass_fractions {csat_peridotite_poly_coeffs, csat_gabbro_poly_coeffs, \
csat_MORB_poly_coeffs, csat_sediment_poly_coeffs
};

std::vector<std::vector<double>> devolatilization_onset_temperatures {Td_peridotite_poly_coeffs, Td_gabbro_poly_coeffs, \
Td_MORB_poly_coeffs, Td_sediment_poly_coeffs
};
};
}

}
}

#endif
75 changes: 6 additions & 69 deletions include/aspect/material_model/reactive_fluid_transport.h
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Expand Up @@ -28,11 +28,8 @@
#include <aspect/geometry_model/interface.h>

#include <aspect/melt.h>
#include <aspect/utilities.h>
#include <aspect/geometry_model/interface.h>
#include <aspect/material_model/reaction_model/katz2003_mantle_melting.h>


#include <aspect/material_model/reaction_model/tian2019_solubility.h>

namespace aspect
{
Expand Down Expand Up @@ -64,18 +61,6 @@ namespace aspect
* @}
*/


/**
* Compute the maximum allowed bound water content at the input
* pressure and temperature conditions. This is used to determine
* how free water interacts with the solid phase.
* @param in Object that contains the current conditions.
* @param q unsigned int from 0-3 indexing which rock phase the equilbrium
* bound water content is being calculated for
*/
std::vector<double> tian_equilibrium_bound_water_content(const MaterialModel::MaterialModelInputs<dim> &in,
unsigned int q) const;

/**
* Compute the free fluid fraction that can be present in the material based on the
* fluid content of the material and the fluid solubility for the given input conditions.
Expand Down Expand Up @@ -160,64 +145,16 @@ namespace aspect
*/
double fluid_reaction_time_scale;

/**
* The maximum water content for each of the 4 rock types in the tian approximation
* method. These are important for keeping the polynomial bounded within reasonable
* values.
*/
double tian_max_peridotite_water;
double tian_max_gabbro_water;
double tian_max_MORB_water;
double tian_max_sediment_water;

/**
*
* The following coefficients are taken from a publication from Tian et al., 2019, and can be found
* in Table 3 (Gabbro), Table B1 (MORB), Table B2 (Sediments) and Table B3 (peridotite).
* LR refers to the effective enthalpy change for devolatilization reactions,
* csat is the saturated mass fraction of water in the solid, and Td is the
* onset temperature of devolatilization for water.
*/
std::vector<double> LR_peridotite_poly_coeffs {-19.0609, 168.983, -630.032, 1281.84, -1543.14, 1111.88, -459.142, 95.4143, 1.97246};
std::vector<double> csat_peridotite_poly_coeffs {0.00115628, 2.42179};
std::vector<double> Td_peridotite_poly_coeffs {-15.4627, 94.9716, 636.603};

std::vector<double> LR_gabbro_poly_coeffs {-1.81745, 7.67198, -10.8507, 5.09329, 8.14519};
std::vector<double> csat_gabbro_poly_coeffs {-0.0176673, 0.0893044, 1.52732};
std::vector<double> Td_gabbro_poly_coeffs {-1.72277, 20.5898, 637.517};

std::vector<double> LR_MORB_poly_coeffs {-1.78177, 7.50871, -10.4840, 5.19725, 7.96365};
std::vector<double> csat_MORB_poly_coeffs {0.0102725, -0.115390, 0.324452, 1.41588};
std::vector<double> Td_MORB_poly_coeffs {-3.81280, 22.7809, 638.049};

std::vector<double> LR_sediment_poly_coeffs {-2.03283, 10.8186, -21.2119, 18.3351, -6.48711, 8.32459};
std::vector<double> csat_sediment_poly_coeffs {-0.150662, 0.301807, 1.01867};
std::vector<double> Td_sediment_poly_coeffs {2.83277, -24.7593, 85.9090, 524.898};

/**
* The polynomials breakdown above certain pressures, 10 GPa for peridotite, 26 GPa for gabbro, 16 GPa for MORB,
* and 50 GPa for sediment. These cutoff pressures were determined by extending the pressure range in Tian et al. (2019)
* and observing where the maximum allowed water contents jump towards infinite values.
*/
const std::vector<double> pressure_cutoffs {10, 26, 16, 50};

std::vector<std::vector<double>> devolatilization_enthalpy_changes {LR_peridotite_poly_coeffs, LR_gabbro_poly_coeffs, \
LR_MORB_poly_coeffs, LR_sediment_poly_coeffs
};

std::vector<std::vector<double>> water_mass_fractions {csat_peridotite_poly_coeffs, csat_gabbro_poly_coeffs, \
csat_MORB_poly_coeffs, csat_sediment_poly_coeffs
};

std::vector<std::vector<double>> devolatilization_onset_temperatures {Td_peridotite_poly_coeffs, Td_gabbro_poly_coeffs, \
Td_MORB_poly_coeffs, Td_sediment_poly_coeffs
};

/*
* Object for computing Katz 2003 melt parameters
*/
ReactionModel::Katz2003MantleMelting<dim> katz2003_model;

/*
* Object for computing Tian 2019 parameterized solubility parameters
*/
ReactionModel::Tian2019Solubility<dim> tian2019_model;

/**
* Enumeration for selecting which type of scheme to use for
* reactions between fluids and solids. The available
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