Boundary Conditions Options (EOR-BO)

STOMP-EOR-BO is designed to solve problems  involving the transport of oil, gas, and salt passive solutes or reactive species through variably saturated geologic media under isothermal conditions.  The Boundary Conditions Card for this operational mode can be used to specify boundary conditions for the energy, fluid flow, passive solutes or reactive species.  For the fluid flow, boundary conditions are one of two types: 1) Dirichlet or 2) Neumann. Dirichlet-type boundary conditions specify state conditions at the boundary surface centroid (i.e., temperature, pressure, phase saturation, component concentration).  Neumann-type boundary conditions specify either fluxes (i.e., heat flux, fluid flux) across a boundary surface.  The STOMP-EOR differs from other operational modes of the STOMP simulator, in that the fluids crossing the boundary surface are assumed to be in thermodynamic equilibrium, which restricts the user's ability to specify independent boundary conditions for each mobile phase.  The state of the fluids crossing the boundary surface is defined by identifying the phase condition of the mobile fluids as being one of the available phase conditions that are used to define the initial conditions. Solutes are nonreactive passive tracers; where, passive indicates that aqueous-phase, nonaqueous-liquid-phase and gas-phase properties are independent of solute concentrations.  A boundary condition type must be specified for every solute.  Species reactive passive tracers; where, passive indicates that aqueous-phase, nonaqueous-liquid-phase and gas-phase properties are independent of species concentrations. A single fluid  boundary condition type is specified for all species.

Fluid Flow Boundary Condition Options

Dirichlet

Dirichlet-type boundary where the aqueous pressure is specified at the boundary surface centroid.

Dirichlet-Inflow

Dirichlet-type boundary where the aqueous pressure is specified at the boundary surface centroid. Fluid is allowed to migrate across the boundary surface only in the direction opposite of the boundary-surface normal (i.e., into the domain).

Dirichlet-Outflow

Dirichlet-type boundary where the aqueous pressure is specified at the boundary surface centroid. Fluid is allowed to migrate across the boundary surface only in the direction of the boundary-surface normal (i.e., out of the domain).

Hydraulic-Gradient

Dirichlet-type boundary where the aqueous pressure is specified at the boundary surface centroid of the lowest i, j, k indexed node. The aqueous pressure at all other boundary surface centroids within the range of i, j, k indexed nodes is set to be in aqueous hydrostatic equilibrium with the aqueous pressure at the boundary surface centroid of the lowest i, j, k indexed node.

Initial Condition

Dirichlet-type boundary where the aqueous pressure is set to be in hydrostatic equilibrium with the aqueous pressure at the grid-cell centroid at the start of the simulation.

Neumann

Neumann-type boundary where the aqueous volumetric flux is specified across the boundary surface. Positive flux is in the direction of the surface normal.

Neumann-Inflow

Neumann-type boundary where the aqueous volumetric flux is specified across the boundary surface. Positive flux is in the direction of the surface normal. Fluid is allowed to migrate across the boundary surface only in the direction opposite of the boundary-surface normal (i.e., into the domain).

Neumann-Outflow

Neumann-type boundary where the aqueous volumetric flux is specified across the boundary surface. Positive flux is in the direction of the surface normal. Fluid is allowed to migrate across the boundary surface only in the direction of the boundary-surface normal (i.e., out of the domain).

Zero Flux

Neumann-type boundary where the aqueous volumetric flux is zero.

Solute Boundary Condition Options

Aqueous Concentration

Dirichlet-type boundary where the aqueous concentration, in terms of solute per mass of aqueous phase, of the solute is specified at the boundary surface centroid. Solutes migrate across the boundary surface via diffusion through the aqueous, nonaqueous-liquid and gas phases or advection with the aqueous, nonaqueous-liquid and gas phases.

Nonaqueous-Liquid Concentration

Dirichlet-type boundary where the nonaqueous-liquid concentration, in terms of solute per mass of gas phase, of the solute is specified at the boundary surface centroid. Solutes migrate across the boundary surface via diffusion through the aqueous, nonaqueous-liquid and gas phases or advection with the aqueous, nonaqueous-liquid and gas phases.

Gas Concentration

Dirichlet-type boundary where the gas concentration, in terms of solute per mass of gas phase, of the solute is specified at the boundary surface centroid. Solutes migrate across the boundary surface via diffusion through the aqueous, nonaqueous-liquid and gas phases or advection with the aqueous, nonaqueous-liquid and gas phases.

Inflow

Dirichlet-type boundary where the solute concentration, in terms of solute mass per grid-cell volume, of the solute is specified at the boundary surface centroid.  Solutes migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow Aqueous Concentration

Dirichlet-type boundary where the aqueous concentration, in terms of solute per mass of aqueous phase, of the solute is specified at the boundary surface centroid.  Solutes migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow Nonaqueous-Liquid Concentration

Dirichlet-type boundary where the nonaqueous-liquid concentration, in terms of solute per mass of gas phase, of the solute is specified at the boundary surface centroid.  Solutes migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow Gas Concentration

Dirichlet-type boundary where the gas concentration, in terms of solute per mass of gas phase, of the solute is specified at the boundary surface centroid.  Solutes migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow-Outflow Aqueous Concentration

Dirichlet-type boundary where the aqueous concentration, in terms of solute per mass of aqueous phase, of the solute is specified at the boundary surface centroid.  Solutes migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection.  When aqueous, nonaqueous-liquid or gas phase flux is in the direction of the boundary-surface normal (i.e., out of the domain), the solute concentration is that at the grid-cell centroid, and when aqueous, nonaqueous-liquid or gas phase flux is in the direction opposite of the boundary-surface normal (i.e., into the domain), the solute concentration is that specified via the input.

Inflow-Outflow Nonaqueous-Liquid Concentration

Dirichlet-type boundary where the nonaqueous-liquid concentration, in terms of solute per mass of gas phase, of the solute is specified at the boundary surface centroid.  Solutes migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection.  When aqueous, nonaqueous-liquid or gas phase flux is in the direction of the boundary-surface normal (i.e., out of the domain), the solute concentration is that at the grid-cell centroid, and when aqueous, nonaqueous-liquid or gas phase flux is in the direction opposite of the boundary-surface normal (i.e., into the domain), the solute concentration is that specified via the input.

Inflow-Outflow Gas Concentration

Dirichlet-type boundary where the gas concentration, in terms of solute per mass of gas phase, of the solute is specified at the boundary surface centroid.  Solutes migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection.  When aqueous, nonaqueous-liquid or gas phase flux is in the direction of the boundary-surface normal (i.e., out of the domain), the solute concentration is that at the grid-cell centroid, and when aqueous, nonaqueous-liquid or gas phase flux is in the direction opposite of the boundary-surface normal (i.e., into the domain), the solute concentration is that specified via the input.

Initial Condition

Dirichlet-type boundary where the aqueous concentration is set to be equal to the aqueous concentration at the grid-cell centroid at the start of the simulation. Solutes migrate across the boundary surface via diffusion through the aqueous and gas phases or advection with the aqueous and gas phases.

Outflow

Solutes migrate across the boundary surface only via aqueous and gas phase advection in the direction of the boundary-surface normal (i.e., out of the domain). As diffusive transport across the boundary surface is not considered the solute concentration entry is ignored.

Volumetric Concentration

Dirichlet-type boundary where the solute concentration, in terms of solute per grid-cell volume, of the solute is specified at the boundary surface centroid. Solutes migrate across the boundary surface via diffusion through the aqueous and gas phases or advection within the aqueous and gas phases.

Zero Flux

Neumann-type boundary where the solute flux is zero. Solutes are prevented from crossing the boundary surface regardless of their concentration.

Species Boundary Condition Options

Aqueous Concentration

Dirichlet-type boundary where the aqueous concentration, in terms of species per mass of aqueous phase, of the species is specified at the boundary surface centroid. Species migrate across the boundary surface via diffusion through the aqueous, nonaqueous-liquid and gas phases or advection with the aqueous, nonaqueous-liquid and gas phases.

Nonaqueous-Liquid Concentration

Dirichlet-type boundary where the nonaqueous-liquid concentration, in terms of species per mass of gas phase, of the species is specified at the boundary surface centroid. Species migrate across the boundary surface via diffusion through the aqueous, nonaqueous-liquid and gas phases or advection with the aqueous, nonaqueous-liquid and gas phases.

Gas Concentration

Dirichlet-type boundary where the gas concentration, in terms of species per mass of gas phase, of the species is specified at the boundary surface centroid. Species migrate across the boundary surface via diffusion through the aqueous, nonaqueous-liquid and gas phases or advection with the aqueous, nonaqueous-liquid and gas phases.

Inflow

Dirichlet-type boundary where the species concentration, in terms of species mass per grid-cell volume, of the species is specified at the boundary surface centroid.  Species migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow Aqueous Concentration

Dirichlet-type boundary where the aqueous concentration, in terms of species per mass of aqueous phase, of the species is specified at the boundary surface centroid.  Species migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow Nonaqueous-Liquid Concentration

Dirichlet-type boundary where the nonaqueous-liquid concentration, in terms of species per mass of gas phase, of the species is specified at the boundary surface centroid.  Species migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow Gas Concentration

Dirichlet-type boundary where the gas concentration, in terms of species per mass of gas phase, of the species is specified at the boundary surface centroid.  Species migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection in the direction opposite of the boundary-surface normal (i.e., into the domain).

Inflow-Outflow Aqueous Concentration

Dirichlet-type boundary where the aqueous concentration, in terms of species per mass of aqueous phase, of the species is specified at the boundary surface centroid.  Species migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection.  When aqueous, nonaqueous-liquid or gas phase flux is in the direction of the boundary-surface normal (i.e., out of the domain), the species concentration is that at the grid-cell centroid, and when aqueous, nonaqueous-liquid or gas phase flux is in the direction opposite of the boundary-surface normal (i.e., into the domain), the species concentration is that specified via the input.

Inflow-Outflow Nonaqueous-Liquid Concentration

Dirichlet-type boundary where the nonaqueous-liquid concentration, in terms of species per mass of gas phase, of the species is specified at the boundary surface centroid.  Species migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection.  When aqueous, nonaqueous-liquid or gas phase flux is in the direction of the boundary-surface normal (i.e., out of the domain), the species concentration is that at the grid-cell centroid, and when aqueous, nonaqueous-liquid or gas phase flux is in the direction opposite of the boundary-surface normal (i.e., into the domain), the species concentration is that specified via the input.

Inflow-Outflow Gas Concentration

Dirichlet-type boundary where the gas concentration, in terms of species per mass of gas phase, of the species is specified at the boundary surface centroid.  Species migrate across the boundary surface only via aqueous, nonaqueous-liquid and gas phase advection.  When aqueous, nonaqueous-liquid or gas phase flux is in the direction of the boundary-surface normal (i.e., out of the domain), the species concentration is that at the grid-cell centroid, and when aqueous, nonaqueous-liquid or gas phase flux is in the direction opposite of the boundary-surface normal (i.e., into the domain), the species concentration is that specified via the input.

Initial Condition

Dirichlet-type boundary where the aqueous concentration is set to be equal to the aqueous concentration at the grid-cell centroid at the start of the simulation. Species migrate across the boundary surface via diffusion through the aqueous and gas phases or advection with the aqueous and gas phases.

Outflow

Species migrate across the boundary surface only via aqueous and gas phase advection in the direction of the boundary-surface normal (i.e., out of the domain). As diffusive transport across the boundary surface is not considered the species concentration entry is ignored.

Volumetric Concentration

Dirichlet-type boundary where the species concentration, in terms of species per grid-cell volume, of the species is specified at the boundary surface centroid. Species migrate across the boundary surface via diffusion through the aqueous and gas phases or advection within the aqueous and gas phases.

Zero Flux

Neumann-type boundary where the species flux is zero. Species are prevented from crossing the boundary surface regardless of their concentration.

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