Journal
JOURNAL OF HYDRAULIC ENGINEERING-ASCE
Volume 134, Issue 9, Pages 1318-1325Publisher
ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)0733-9429(2008)134:9(1318)
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Funding
- Natural Environment Research Council [NER/T/S/2001/00941] Funding Source: researchfish
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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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