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
Journal of Hydraulic Engineering
Volume 134 • Issue 9 • September 2008
Pages: 1318 - 1325
Copyright
© 2008 ASCE.
History
Received: Jul 2, 2007
Accepted: Jan 25, 2008
Published online: Sep 1, 2008
Published in print: Sep 2008
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