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

Conference ·
OSTI ID:6495809
A method developed earlier for solving numerically the one-dimensional Buckley--Leverett equation for two phase immiscible flow in a porous medium is extended to the case of non-uniform flow in two 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 five-spot configuration of water flooding of a petroleum reservoir.
Research Organization:
California Univ., Berkeley (USA). Lawrence Berkeley Lab.
DOE Contract Number:
W-7405-ENG-48
OSTI ID:
6495809
Report Number(s):
LBL-8452; CONF-790119-1
Country of Publication:
United States
Language:
English

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