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TECHNICAL PAPERS
Sep 1, 2008

Approximate Solutions for Forchheimer Flow to a Well

Publication: Journal of Hydraulic Engineering
Volume 134, Issue 9

Abstract

An exact solution for transient Forchheimer flow to a well does not currently exist. However, this paper presents a set of approximate solutions, which can be used as a framework for verifying future numerical models that incorporate Forchheimer flow to wells. These include: a large time approximation derived using the method of matched asymptotic expansion; a Laplace transform approximation of the well-bore response, designed to work well when there is significant well-bore storage and flow is very turbulent; and a simple heuristic function for when flow is very turbulent and the well radius can be assumed infinitesimally small. All the approximations are compared to equivalent finite-difference solutions.

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Information & Authors

Information

Published In

Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 134Issue 9September 2008
Pages: 1318 - 1325

History

Received: Jul 2, 2007
Accepted: Jan 25, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008

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Authors

Affiliations

Simon A. Mathias [email protected]
Lecturer, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, U.K. E-mail: [email protected]
Adrian P. Butler [email protected]
Reader, Dept. of Civil and Environmental Engineering, Imperial College London, London SW7 2AZ, U.K. E-mail: [email protected]
Hongbin Zhan [email protected]
Associate Professor, Dept. of Geology and Geophysics, Texas A&M Univ., College Station, TX 77843-3115. E-mail: [email protected]

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