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

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Description

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.

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Pages: 21

Creation Information

Albright, N.; Concus, P. & Proskurowski, W. December 1, 1978.

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This article is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this article can be viewed below.

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  • Lawrence Berkeley Laboratory
    Publisher Info: California Univ., Berkeley (USA). Lawrence Berkeley Lab.
    Place of Publication: Berkeley, California

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Description

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.

Physical Description

Pages: 21

Notes

Dep. NTIS, PC A02/MF A01.

Source

  • 5. symposium on reservoir simulation, Denver, CO, USA, 31 Jan 1979

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  • Report No.: LBL-8452
  • Report No.: CONF-790119-1
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 6495809
  • Archival Resource Key: ark:/67531/metadc1210799

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • December 1, 1978

Added to The UNT Digital Library

  • July 5, 2018, 11:11 p.m.

Description Last Updated

  • Oct. 29, 2018, 10:27 p.m.

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Albright, N.; Concus, P. & Proskurowski, W. Numerical solution of the multidimensional Buckley--Leverett equation by a sampling method, article, December 1, 1978; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc1210799/: accessed November 18, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.