Numerical solution of the Buckley-Leverett equations

Conference · Tue Nov 01 04:00:00 EST 1983 · Soc. Pet. Eng. AIME, Pap.; (United States)

OSTI ID:5364123

Sethian, J A; Chorin, A J; Concus, P

A modified random choice method is described for solving simultaneously the Buckley-Leverett, incompressibility, and Darcy's Law equations for immiscible displacement in a porous medium. The main idea of the numerical method is to modify the one-dimensional Riemann solvers in the split random choice method so that the multidimensional flow is represented correctly. Other features include flux conserving differencing of pressure and velocity and an accurate description of sources and sinks. Numerical results for a two-dimensional five-spot waterflood indicate that the advancing front is kept sharp by the method, that the time of breakthrough is accurate, and that grid orientation effects are unimportant.

• Research Organization: Univ. of California
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 5364123
• Report Number(s): CONF-831190-
• Conference Information: Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Journal Volume: SPE 11254
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020300* -- Petroleum-- Drilling & Production
DARCY LAW
FLOW MODELS
FLUID FLOW
FLUID INJECTION
INCOMPRESSIBLE FLOW
MATHEMATICAL MODELS
NUMERICAL SOLUTION
OIL WELLS
ONE-DIMENSIONAL CALCULATIONS
POROSITY
RESERVOIR ROCK
SIMULATION
STIMULATION
TWO-DIMENSIONAL CALCULATIONS
WATERFLOODING
WELL STIMULATION
WELLS