Flow and Transport
Through Porous Media II
Multidimensional
Displacement
Instructor: G. J.
Hirasaki
Finite Difference
for Fractional Flow Equation
Differential equation
Up stream weighting
Explicit or Implicit
Truncation error
Stability analysis
Time step selection
Dispersion
Mechanisms for dispersion
One dimensional convection with dispersion
Estimation of dispersion coefficient
Mixing zone growth
Finite slug
Hydrostatic Fluid Distribution
Capillary pressure
definition
Capillary pressure curves
Scaling of capillary pressure
Hydrostatic fluid distribution
Three phase distribution
Reservoir seals
Outflow boundary condition
Methods of measurement
Capillary pressure models
Effects of wettability
Finite Difference in
1-D with Capillary Pressure
Differential equation
and boundary conditions
IMPES formulation
Semi-implicit formulation
Block tridiagonal matrix
Multidimensional, Multiphase
Displacement
Generalized material
conservation equations
Hydrocarbon phase behavior
Particular fluid systems
Finite Difference Solution
in Multidimensions
Finite difference
in time
Regular grid spacing
Variable grid spacing
Material balance check
IMPES formulation
Semi-implicit formulation
ADI
Preconditioned Conjugate Gradient
Reservoir Geometry
and Properties
Curvilinear coordinates
Cylindrical r-z coordinates
Reservoir geometry
Well Models
Relation with grid
block
Well impairment
Saturation dependence
Well common to several grid blocks
Vertical lift performance
Oil-water coning model
Reduction to Two Dimensions
Averaged conservation
equations in two dimensions
Vertical equilibrium
Stiles-Hearn model for layered formation
Page maintained by: G. J. Hirasaki, gjh@rice.edu
Last updated: May 22, 2001