Roman Symbols
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equilibrium constant coefficient |
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fitting coefficient for the Empirical effective diffusion option |
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Free Corey model parameter |
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conservation equation stoichiometric coefficient of species i |
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fitting coefficient for the Power-Function effective diffusion option |
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ion size parameter for species i |
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B-Dot equation coefficient (vary with temperature) |
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Haverkamp function parameter |
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mineral specific reactive surface area, m2/kg aqu. |
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mean slope of β for LnK vs. h regression (in Mualem with Polmann model) |
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Debye-Huckel parameter |
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first-order biomass decay coefficient, 1/s |
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equilibrium constant coefficient |
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fitting coefficient for the Empirical effective diffusion option |
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Free Corey model parameter |
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kinetic-equation stoichiometric coefficient of species i |
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fitting coefficient for the Power-Function effective diffusion option |
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B-Dot equation coefficient (vary with temperature) |
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B-Dot equation coefficient (vary with temperature) |
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equilibrium constant coefficient |
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kinetic-equation reaction-rate coefficient of reaction k |
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solute concentration, 1/m3 |
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kinetic-reaction acceptor-species concentration, mol/m3 aqu. |
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anisotropy coefficient (in Mualem with Polmann model) |
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maximum value of anisotropy coefficient (in Mualem with Polmann model) |
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minimum value of anisotropy coefficient (in Mualem with Polmann model) |
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kinetic-reaction aqueous-species concentration, mol/m3 aqu. |
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bulk compressibility, 1/Pa |
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kinetic-reaction donor-species concentration, mol/m3 aqu. |
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concentration of species i, mol/m3 aqu. |
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pore compressibility, 1/Pa |
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solute concentration of component i, 1/m3 |
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aqueous activity of species j, mol/m3 aqu. |
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solute concentration in aqueous phase, 1/m3 |
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primary reactant concentration, 1/m3 |
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secondary reactant concentration, 1/m3 |
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concentration of sorbed species, mol/kg solid |
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water compressibility, 1/Pa |
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vertical depth of waste, m |
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equilibrium constant coefficient |
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variable diffusion coefficient, m2/s |
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effective diffusion coefficient, m2/s |
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free water diffusion coefficient, m2/s |
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diffusion-dispersion tensor of water for aqueous phase, m2/s |
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equilibrium constant coefficient |
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stoichiometric exponent of species i |
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activation energy, J/mol |
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chain decay fraction for radionuclide pair jk |
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reaction rate factor |
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advective water mass flux in aqueous phase, kg/m2 s |
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acceleration of gravity, m/s2 |
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component of reaction rate factor |
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capillary head, m |
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ionic strength |
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solute inventory |
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diffusive-dispersive water flux for the aqueous phase, kg/m2 s |
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intrinsic permeability, m2 |
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kinetic reaction rate constant, mol/m2 s |
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kinetic-reaction backward-rate constant |
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backward mass transfer coefficient, 1/s |
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kinetic-reaction forward-rate constant |
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intrinsic permeability of the fracture material, m2 |
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intrinsic permeability of the matrix material, m2 |
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mass transfer coefficient, 1/s |
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kinetic-reaction rate constant at reference temperature, mol/m2 s |
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gas relative permeability |
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bulk gas relative permeability |
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gas relative permeability of the fracture material |
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gas relative permeability of the matrix material |
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aqueous relative permeability |
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bulk aqueous relative permeability |
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aqueous relative permeability of the fracture material |
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aqueous relative permeability of the matrix material |
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forward mass transfer coefficient, 1/s |
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unsaturated hydraulic conductivity, m/s |
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half-saturation constant for the electron acceptor, mol/m3 |
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half-saturation constant for the electron donor, mol/m3 |
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solid-aqueous partition coefficient, m3 aqu./kg solid |
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equilibrium constant |
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equilibrium constant of equilibrium equation j |
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saturated hydraulic conductivity, m/s |
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solute solid-aqueous distribution coefficient, m3 aqu./kg solid |
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intrinsic permeability tensor, m2 |
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connectivity-tortuosity coefficient |
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Land's parameter for gas-aqueous interface |
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van Genuchten m parameter |
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molal concentration of species i |
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mass of waste, kg |
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molecular weight of aqueous phase, kg/kmol |
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molecular weight of water, kg/kmol |
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solute source rate, 1/s |
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salt mass source rate, kg/s |
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van Genuchten n parameter |
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number of conservation equations |
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number of equilibrium equations |
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number of equilibrium species in equilibrium equation j |
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number of kinetic equations |
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moles of primary reactant pr |
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moles of secondary reactant r |
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number of kinetic reactions associated with total-kinetic species j |
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number of species in total-kinetic species j |
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number of species in total-component species j |
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gas pressure, Pa |
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aqueous liquid pressure, Pa |
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slope of LnKs vs. β regression line for the samples considered (in Mualem with Polmann model) |
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ion activity product |
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source release rate, 1/s |
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ideal gas constant, J/mol K |
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retardation factor |
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solute decay rate constant, 1/s |
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kinetic rate of reaction, mol/s m3 aqu. |
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solute aqueous solubility, 1/m3 |
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actual gas saturation |
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effective gas saturation |
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effective free gas saturation |
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maximum effective residual gas saturation |
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effective gas saturation trapped by aqueous phase |
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actual aqueous liquid saturation |
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effective aqueous liquid saturation |
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minimum effective aqueous liquid saturation |
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apparent aqueous liquid saturation |
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actual aqueous liquid saturation of the fracture material |
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effective aqueous liquid saturation of the fracture material |
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actual aqueous liquid saturation of the matrix material |
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effective aqueous liquid saturation of the matrix material |
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actual aqueous liquid residual saturation |
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actual aqueous liquid residual saturation of the fracture material |
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actual aqueous liquid residual saturation of the matrix material |
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sorbed concentration, mol/m3 |
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maximum sorbed concentration, mol/m3 |
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activity of aqueous silica |
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specific storage, 1/m |
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time, s |
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radioactive decay half-life of component i, s |
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reaction half-life, s |
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temperature, K |
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kinetic reaction reference temperature, K |
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volume of the aqueous phase, m3 |
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bulk volume, m3 |
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Darcy velocity of the aqueous phase, m/s |
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Darcy velocity of water component in the aqueous phase, m/s |
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volume of water, m3 |
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pore volume, m3 |
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biomass, mole cells/m3 aqu. |
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microbial yield coefficient, mole cells/mole donor species |
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electrical charge of species i |
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unit gravitational direction vector |