Roman Symbols


equilibrium constant coefficient 

fitting coefficient for the Empirical effective diffusion option 

Free Corey model parameter 

conservation equation stoichiometric coefficient of species i 

fitting coefficient for the PowerFunction effective diffusion option 

ion size parameter for species i 

BDot equation coefficient (vary with temperature) 

Haverkamp function parameter 

mineral specific reactive surface area, m^{2}/kg aqu. 

mean slope of β for LnK vs. h regression (in Mualem with Polmann model) 

DebyeHuckel parameter 

firstorder biomass decay coefficient, 1/s 

equilibrium constant coefficient 

fitting coefficient for the Empirical effective diffusion option 

Free Corey model parameter 

kineticequation stoichiometric coefficient of species i 

fitting coefficient for the PowerFunction effective diffusion option 

BDot equation coefficient (vary with temperature) 

BDot equation coefficient (vary with temperature) 

equilibrium constant coefficient 

kineticequation reactionrate coefficient of reaction k 

solute concentration, 1/m^{3} 

kineticreaction acceptorspecies concentration, mol/m^{3} aqu. 

anisotropy coefficient (in Mualem with Polmann model) 

maximum value of anisotropy coefficient (in Mualem with Polmann model) 

minimum value of anisotropy coefficient (in Mualem with Polmann model) 

kineticreaction aqueousspecies concentration, mol/m^{3} aqu. 

bulk compressibility, 1/Pa 

kineticreaction donorspecies concentration, mol/m^{3} aqu. 

concentration of species i, mol/m^{3} aqu. 

pore compressibility, 1/Pa 

solute concentration of component i, 1/m^{3} 

aqueous activity of species j, mol/m^{3} aqu. 

solute concentration in aqueous phase, 1/m^{3} 

primary reactant concentration, 1/m^{3} 

secondary reactant concentration, 1/m^{3} 

concentration of sorbed species, mol/kg solid 

water compressibility, 1/Pa 

vertical depth of waste, m 

equilibrium constant coefficient 

variable diffusion coefficient, m^{2}/s 

effective diffusion coefficient, m^{2}/s 

free water diffusion coefficient, m^{2}/s 

diffusiondispersion tensor of water for aqueous phase, m^{2}/s 

equilibrium constant coefficient 

stoichiometric exponent of species i 

activation energy, J/mol 

chain decay fraction for radionuclide pair jk 

reaction rate factor 

advective water mass flux in aqueous phase, kg/m^{2} s 

acceleration of gravity, m/s^{2} 

component of reaction rate factor 

capillary head, m 

ionic strength 

solute inventory 

diffusivedispersive water flux for the aqueous phase, kg/m^{2} s 

intrinsic permeability, m^{2} 

kinetic reaction rate constant, mol/m^{2} s 

kineticreaction backwardrate constant 

backward mass transfer coefficient, 1/s 

kineticreaction forwardrate constant 

intrinsic permeability of the fracture material, m^{2} 

intrinsic permeability of the matrix material, m^{2} 

mass transfer coefficient, 1/s 

kineticreaction rate constant at reference temperature, mol/m^{2} s 

gas relative permeability 

bulk gas relative permeability 

gas relative permeability of the fracture material 

gas relative permeability of the matrix material 

aqueous relative permeability 

bulk aqueous relative permeability 

aqueous relative permeability of the fracture material 

aqueous relative permeability of the matrix material 

forward mass transfer coefficient, 1/s 

unsaturated hydraulic conductivity, m/s 

halfsaturation constant for the electron acceptor, mol/m^{3} 

halfsaturation constant for the electron donor, mol/m^{3} 

solidaqueous partition coefficient, m^{3} aqu./kg solid 

equilibrium constant 

equilibrium constant of equilibrium equation j 

saturated hydraulic conductivity, m/s 

solute solidaqueous distribution coefficient, m^{3} aqu./kg solid 

intrinsic permeability tensor, m^{2} 

connectivitytortuosity coefficient 

Land's parameter for gasaqueous interface 

van Genuchten m parameter 

molal concentration of species i 

mass of waste, kg 

molecular weight of aqueous phase, kg/kmol 

molecular weight of water, kg/kmol 

solute source rate, 1/s 

salt mass source rate, kg/s 

van Genuchten n parameter 

number of conservation equations 

number of equilibrium equations 

number of equilibrium species in equilibrium equation j 

number of kinetic equations 

moles of primary reactant pr 

moles of secondary reactant r 

number of kinetic reactions associated with totalkinetic species j 

number of species in totalkinetic species j 

number of species in totalcomponent species j 

gas pressure, Pa 

aqueous liquid pressure, Pa 

slope of LnK_{s} vs. β regression line for the samples considered (in Mualem with Polmann model) 

ion activity product 

source release rate, 1/s 

ideal gas constant, J/mol K 

retardation factor 

solute decay rate constant, 1/s 

kinetic rate of reaction, mol/s m^{3} aqu. 

solute aqueous solubility, 1/m^{3} 

actual gas saturation 

effective gas saturation 

effective free gas saturation 

maximum effective residual gas saturation 

effective gas saturation trapped by aqueous phase 

actual aqueous liquid saturation 

effective aqueous liquid saturation 

minimum effective aqueous liquid saturation 

apparent aqueous liquid saturation 

actual aqueous liquid saturation of the fracture material 

effective aqueous liquid saturation of the fracture material 

actual aqueous liquid saturation of the matrix material 

effective aqueous liquid saturation of the matrix material 

actual aqueous liquid residual saturation 

actual aqueous liquid residual saturation of the fracture material 

actual aqueous liquid residual saturation of the matrix material 

sorbed concentration, mol/m^{3} 

maximum sorbed concentration, mol/m^{3} 

activity of aqueous silica 

specific storage, 1/m 

time, s 

radioactive decay halflife of component i, s 

reaction halflife, s 

temperature, K 

kinetic reaction reference temperature, K 

volume of the aqueous phase, m^{3} 

bulk volume, m^{3} 

Darcy velocity of the aqueous phase, m/s 

Darcy velocity of water component in the aqueous phase, m/s 

volume of water, m^{3} 

pore volume, m^{3} 

biomass, mole cells/m^{3} aqu. 

microbial yield coefficient, mole cells/mole donor species 

electrical charge of species i 

unit gravitational direction vector 