RESEARCH PAPERS: Rock Mechanics/Drilling Mechanics

The Cross-Sectional Shapes of Longitudinal Hydraulic Fractures

[+] Author and Article Information
D. Segalman

ARCO Oil and Gas Company, Dallas, Tex. 75221

J. Energy Resour. Technol 106(4), 554-561 (Dec 01, 1984) (8 pages) doi:10.1115/1.3231122 History: Received October 13, 1983; Revised February 17, 1984; Online October 22, 2009


A mathematical formulation has been developed for calculating the cross-sectional shape of hydraulic fractures. This formulation treats the problem as a free-boundary-type problem and is modeled after mathematical formulations developed for contact and lubrication problems. Numerical solution of the resulting equations has been used to address problems involving particularly difficult in-situ stress distributions, including problems in which the fracture breaks through high-stress barriers. The technique is illustrated on two example problems.

Copyright © 1984 by ASME
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