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Numerical solution of the multi-dimensional Buckley-Leverett equation by a sampling method

Journal Article · · Soc. Pet. Eng. AIME, Pap.; (United States)
OSTI ID:5590563
; ;
A method developed earlier for solving numerically the one-dimensional Buckley-Leverett equation for 2-phase immiscible flow in a porous medium is extended to the case of nonuniform flow in 2-space dimensions. The method has the feature of tracking solution discontinuities sharply for purely hyperbolic problems, without requiring devices such as the introduction of artificial dissipation. It is found that the method is computationally efficient for solving a numerical example for the 5-spot configuration of waterflooding of a petroleum reservoir.
OSTI ID:
5590563
Journal Information:
Soc. Pet. Eng. AIME, Pap.; (United States), Journal Name: Soc. Pet. Eng. AIME, Pap.; (United States) Vol. SPE-7681; ISSN SEAPA
Country of Publication:
United States
Language:
English

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Related Subjects

02 PETROLEUM
023000* -- Petroleum-- Properties & Composition
BOUNDARY CONDITIONS
ENERGY SOURCES
FLUID FLOW
FLUID INJECTION
FOSSIL FUELS
FUELS
MATERIALS
MATHEMATICAL MODELS
OIL WELLS
PETROLEUM
POROUS MATERIALS
SIMULATION
SWEEP EFFICIENCY
TWO-DIMENSIONAL CALCULATIONS
TWO-PHASE FLOW
WATERFLOODING
WELL SPACING
WELLS