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STOMP User Guide

Subsurface Transport Over Multiple Phases

Glossary of Symbols

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 Power-Function effective diffusion option
ion size parameter for species i
B-Dot equation coefficient (vary with temperature)
Haverkamp function parameter
mineral specific reactive surface area, m2/kg aqu.
mean slope of β for LnK vs. h regression (in Mualem with Polmann model)
Debye-Huckel parameter
first-order biomass decay coefficient, 1/s
equilibrium constant coefficient
fitting coefficient for the Empirical effective diffusion option
Free Corey model parameter
kinetic-equation stoichiometric coefficient of species i
fitting coefficient for the Power-Function effective diffusion option
B-Dot equation coefficient (vary with temperature)
B-Dot equation coefficient (vary with temperature)
equilibrium constant coefficient
kinetic-equation reaction-rate coefficient of reaction k
solute concentration, 1/m3
kinetic-reaction acceptor-species concentration, mol/m3 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)
kinetic-reaction aqueous-species concentration, mol/m3 aqu.
bulk compressibility, 1/Pa
kinetic-reaction donor-species concentration, mol/m3 aqu.
concentration of species i, mol/m3 aqu.
pore compressibility, 1/Pa
solute concentration of component i, 1/m3
aqueous activity of species j, mol/m3 aqu.
solute concentration in aqueous phase, 1/m3
primary reactant concentration, 1/m3
secondary reactant concentration, 1/m3
concentration of sorbed species, mol/kg solid
water compressibility, 1/Pa
vertical depth of waste, m
equilibrium constant coefficient
variable diffusion coefficient, m2/s
effective diffusion coefficient, m2/s
free water diffusion coefficient, m2/s
diffusion-dispersion tensor of water for aqueous phase, m2/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/m2 s
acceleration of gravity, m/s2
component of reaction rate factor
capillary head, m
ionic strength
solute inventory
diffusive-dispersive water flux for the aqueous phase, kg/m2 s
intrinsic permeability, m2
kinetic reaction rate constant, mol/m2 s
kinetic-reaction backward-rate constant
backward mass transfer coefficient, 1/s
kinetic-reaction forward-rate constant
intrinsic permeability of the fracture material, m2
intrinsic permeability of the matrix material, m2
mass transfer coefficient, 1/s
kinetic-reaction rate constant at reference temperature, mol/m2 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
half-saturation constant for the electron acceptor, mol/m3
half-saturation constant for the electron donor, mol/m3
solid-aqueous partition coefficient, m3 aqu./kg solid
equilibrium constant
equilibrium constant of equilibrium equation j
saturated hydraulic conductivity, m/s
solute solid-aqueous distribution coefficient, m3 aqu./kg solid
intrinsic permeability tensor, m2
connectivity-tortuosity coefficient
Land's parameter for gas-aqueous 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 total-kinetic species j
number of species in total-kinetic species j
number of species in total-component species j
gas pressure, Pa
aqueous liquid pressure, Pa
slope of LnKs 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 m3 aqu.
solute aqueous solubility, 1/m3
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/m3
maximum sorbed concentration, mol/m3
activity of aqueous silica
specific storage, 1/m
time, s
radioactive decay half-life of component i, s
reaction half-life, s
temperature, K
kinetic reaction reference temperature, K
volume of the aqueous phase, m3
bulk volume, m3
Darcy velocity of the aqueous phase, m/s
Darcy velocity of water component in the aqueous phase, m/s
volume of water, m3
pore volume, m3
biomass, mole cells/m3 aqu.
microbial yield coefficient, mole cells/mole donor species
electrical charge of species i
unit gravitational direction vector
Greek Symbols
van Genuchten function parameter, 1/m
pH dependency coefficient (in kinetic reactions)
Haverkamp α parameter
Touma and Vauclin function parameter
Haverkamp β parameter
constant (in the tensorial-connectivity-tortuosity model )
Touma and Vauclin function parameter
molal activity coefficient of species i
Haverkamp function parameter 
constant (in the tensorial-connectivity-tortuosity model)
constrictivity
time step, s
node spacing across surface WB, m
volumetric water content
residual water content
saturated water content
Brooks and Corey parameter
radioactive decay constant of component i, 1/s
vertical correlation length for LnKs (in Mualem with Polmann model)
dynamic viscosity of fluid, kg/(m s)
dynamic viscosity of fluid in aqueous phase, kg/(m s)
density of fluid in aqueous phase, kg/m3
reference aqueous density, kg/m3
density of waste, kg/m3
porous media grain density, kg/m3
density of water, kg/m3
aqueous phase tortuosity
diffusive porosity
diffusive porosity of the fracture material
diffusive porosity of the matrix material
total porosity

diffusive porosity of the fracture material
diffusive porosity of the matrix material
mole fraction of water in aqueous phase
Brooks and Corey function nonwetting fluid entry head, m
mass fraction of water in aqueous phase
Subscripts
bottom
east
north
south
top
west boundary
Mathematical Symbols
arithmetic interfacial averaging at surface ς
harmonic interfacial averaging at surface ς
upwind or donor cell interfacial averaging at surface ς