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TECHNICAL BRIEFS

Explicit Approximate Solutions Associated With the Mechanics of Hydraulic Fracturing

[+] Author and Article Information
S. H. Advani, J. S. Torok, J. K. Lee

Department of Engineering Mechanics, Ohio State University, Columbus, Ohio 43210

J. Appl. Mech 53(2), 462-465 (Jun 01, 1986) (4 pages) doi:10.1115/1.3171784 History: Received October 16, 1984; Revised November 21, 1985; Online July 21, 2009

Abstract

Governing equations, based on a Lagrangian formulation, for the assumed case of a hydraulically induced vertial elliptic fracture propagating in a uniformly confined, linear, elastic, homogeneous medium are derived. Explicit solutions for the generalized coordinates designating the time-dependent crack width, major axis, and minor axis are obtained for one-dimensional fracture fluid flow with and without leak-off effects.

Copyright © 1986 by ASME
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