All Days 2011
DOI: 10.2118/148060-ms
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Shape Factors for Irregularly Shaped Matrix Blocks

Abstract: The shape factor that appears in dual-porosity models of single-phase flow in naturally fractured reservoirs is investigated. Previously derived analytical expressions for a few simple geometries (spheres, cubes, slabs, etc.) are first reviewed. A general numerical procedure is presented that allows the shape factor of an arbitrarily shaped block to be found using a fine-grid simulation of flow into a single matrix block with constant-pressure boundary conditions. From these various results, a scaling law is s… Show more

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Cited by 8 publications
(1 citation statement)
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“…(16) is not applied to the outermost sub-cells, where iso-potential lines at early-time are close to rectangles. The shape factor has been greatly discussed in the literature (see, for example, Wuthicharn and Zimmerman, 2011), and many choices are possible. (15) is still applied to outermost sub-cells.…”
Section: Matrix-fracture Exchangementioning
confidence: 99%
“…(16) is not applied to the outermost sub-cells, where iso-potential lines at early-time are close to rectangles. The shape factor has been greatly discussed in the literature (see, for example, Wuthicharn and Zimmerman, 2011), and many choices are possible. (15) is still applied to outermost sub-cells.…”
Section: Matrix-fracture Exchangementioning
confidence: 99%