Fundamental solutions for an instantaneous point force and an instantaneous fluid point source are derived for an infinite, fluid-saturated, poroelastic solid with zero permeability in one direction. Applying these solutions and Cleary’s reciprocal theorem to the three-dimensional problem of a pressurized plane crack yields two integral equations, which relate normal tractions and fluid pressure on the crack faces to crack opening and fluid injection rate per unit fracture area. An important application of these equations is the prediction of hydraulic fractures induced during water-flooding of reservoirs to enhance gas and oil recovery. Zero permeability in one direction may be a good approximation for the case in which the reservoir is sandwiched between two impermeable rock layers.
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March 1996
Technical Papers
Integral Equations for a Three-Dimensional Crack in an Infinite, Fluid-Filled, Poroelastic Solid With Zero Permeability in One Direction
Michio Kurashige,
Michio Kurashige
Department of Mechanical Engineering, Iwate University, Morioka 020, Japan
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R. J. Clifton
R. J. Clifton
Division of Engineering, Brown University, Providence, RI 02912
Search for other works by this author on:
Michio Kurashige
Department of Mechanical Engineering, Iwate University, Morioka 020, Japan
R. J. Clifton
Division of Engineering, Brown University, Providence, RI 02912
J. Appl. Mech. Mar 1996, 63(1): 62-68 (7 pages)
Published Online: March 1, 1996
Article history
Received:
January 14, 1994
Revised:
December 1, 1994
Online:
October 26, 2007
Citation
Kurashige, M., and Clifton, R. J. (March 1, 1996). "Integral Equations for a Three-Dimensional Crack in an Infinite, Fluid-Filled, Poroelastic Solid With Zero Permeability in One Direction." ASME. J. Appl. Mech. March 1996; 63(1): 62–68. https://doi.org/10.1115/1.2787210
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