RESEARCH PAPERS: Rock Mechanics/Emerging Energy Technologies

A Quantitative Evaluation of Two Classical Approximations Used to Predict the Extent of Vertical Hydraulic Fractures

[+] Author and Article Information
M. B. Rubin

Technion—Israel Institute of Technology, Haifa, Israel

J. Energy Resour. Technol 105(4), 512-527 (Dec 01, 1983) (16 pages) doi:10.1115/1.3230965 History: Received March 10, 1983; Revised August 19, 1983; Online October 22, 2009


An integral equation was developed to predict the critical parameters (fracture width and length) associated with the propagation of a vertical hydraulic fracture and a numerical solution procedure was developed. The effects of the classical approximations of pressure and fracture width were investigated both separately and together. It was found that the effects associated with the pressure approximation were relatively insignificant, whereas those associated with the fracture width approximation were significant, particularly when the formation was only moderately permeable. Finally, an exact closed-form solution of the integral equation was developed for a special case. It was shown that when the formation is only moderately permeable, this solution provides a better approximation of the exact solution than the classical solution of Carter [2].

Copyright © 1983 by ASME
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