A Study of the Effect of Inhomogeneities on Immiscible Flow in Naturally Fractured Reservoirs
The so-called medium block model for two-phase, immiscible, incompressible flow in a naturally-fractured petroleum reservoir is extended to admit inhomogeneous and non-periodic physical properties in both fractures and matrix blocks. In particular, a number of block types is allowed over each point in the reservoir, along with inhomogeneous physical properties. Numerical studies are performed to analyze the dependence of the flow on these properties for both vertical cross-sections and five-spot injection.
KeywordsRelative Permeability Matrix Block Production Curve Fracture Permeability Fracture Reservoir
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- Arbogast T., Douglas J., Hornung U. Modeling of naturally fractured petroleum reservoirs by formal homogenization techniques. In Frontiers in Pure and Applied Mathematics, pages 1–19. Elsevier, Amsterdam, 1991. R. Dautray, ed.Google Scholar
- Aziz K. and Settari T. Petroleum Reservoir Simulation. Applied Science Publishers, London, 1979.Google Scholar
- Chavent G., Jaffré J. Mathematical Models and Finite Elements for Reservoir Simulation. North-Holland, Amsterdam, 1986.Google Scholar
- de Swaan A. Theory of waterflooding in fractured reservoirs. Soc. Petroleum Engr. J., 18:117–122, 1978.Google Scholar
- Douglas J., Jr., Arbogast T. Dual porosity models for flow in naturally fractured reservoirs. In Dynamics of Fluids in Hierarchical Porous Formations, pages 177–221. Academic Press, London, 1990. J. H. Cushman, ed.Google Scholar
- Douglas J., Jr., Arbogast T., Paes Leme P. J., Hensley J. L., Nunes N. P. Immiscible displacement in vertically fractured reservoirs. Transport in Porous Media. To appear, 1993.Google Scholar
- Hornung U. Applications of the homogenization method to flow and transport through porous media. In Flow and Transport in Porous Media, Singapore. Summer School, Beijing 1988, World Scientific. Xiao Shutie, ed., to appear.Google Scholar
- Hornung IL, Jäger, W. Homogenization of reactive transport through porous media. In EQUADIFF 1991, Singapore. World Scientific Publishing. C. Perelló, ed., submitted 1992.Google Scholar
- Peaceman D. W. Fundamentals of Numerical Reservoir Simulation. Elsevier, New York, 1977.Google Scholar
- Showalter R. E. Distributed microstructure models of porous media. This volume.Google Scholar
- Vogt Ch. A homogenization theorem leading to a Volterra integro-differential equation for permeation chromotography. Preprint #155, Sonderfachbereich 123, 1982.Google Scholar
- Warren J. E., Root P. J. The behavior of naturally fractured reservoirs. Soc. Petr. Eng. J., 3:245–255, 1963.Google Scholar