Laplace-Domain Solutions for Radial Two-Zone Flow Equations under the Conditions of Constant-Head and Partially Penetrating Well
Publication: Journal of Hydraulic Engineering
Volume 131, Issue 3
Abstract
A mathematical model is presented for a constant-head test performed in a partially penetrating well with a finite-thickness skin. The model uses a no-flow boundary condition for the casing and a constant-head boundary condition for the screen to represent the partially penetrating well. The Laplace-domain solutions for the dimensionless flow rate at the wellbore and the hydraulic heads in the skin and formation zones are derived using the Laplace and finite Fourier cosine transforms. The solutions of hydraulic heads have been shown to satisfy the governing equations, related boundary conditions, and continuity requirements for the pressure head and flow rate at the interface of the skin zone and undisturbed formation. In addition, an efficient algorithm for evaluating those solutions is also presented. The dimensionless flow rates obtained from new solutions have been shown to be better than those of Novakowski’s solutions, especially when the penetration ratio is large.
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Acknowledgments
The writers appreciate the comments and suggested revisions of two anonymous reviewers that help improve the clarity of our presentation. Research leading to this paper has been partially supported by Taiwan National Science Council under Grant No. NSC91-2211-E-009-020 and Taiwan Van-Nung Institute of Technology under Contract No. VIT-92-CE-003.
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Information
Published In
Journal of Hydraulic Engineering
Volume 131 • Issue 3 • March 2005
Pages: 209 - 216
Copyright
© 2005 ASCE.
History
Received: Feb 11, 2004
Accepted: Aug 18, 2004
Published online: Mar 1, 2005
Published in print: Mar 2005
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