An analytical solution for transient radial flow through unsaturated fractured porous media

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This paper presents analytical solutions for one-dimensional radial transient flow through horizontal, unsaturated fractured rock formation. In these solutions, unsaturated flow through fractured media is described by a linearized Richards' equation, while fracture-matrix interaction is handled using the dual-continuum concept. Although linearizing Richards' equation requires a specially correlated relationship between relative permeability and capillary pressure functions for both fractures and matrix, these specially formed relative permeability and capillary pressure functions are still physically meaningful. These analytical solutions can thus be used to describe the transient behavior of unsaturated flow in fractured media under the described model conditions. They can also ... continued below

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20 pages

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Wu, Yu-Shu & Pan, Lehua February 13, 2004.

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Description

This paper presents analytical solutions for one-dimensional radial transient flow through horizontal, unsaturated fractured rock formation. In these solutions, unsaturated flow through fractured media is described by a linearized Richards' equation, while fracture-matrix interaction is handled using the dual-continuum concept. Although linearizing Richards' equation requires a specially correlated relationship between relative permeability and capillary pressure functions for both fractures and matrix, these specially formed relative permeability and capillary pressure functions are still physically meaningful. These analytical solutions can thus be used to describe the transient behavior of unsaturated flow in fractured media under the described model conditions. They can also be useful in verifying numerical simulation results, which, as demonstrated in this paper, are otherwise difficult to validate.

Physical Description

20 pages

Notes

OSTI as DE00840037

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  • Journal Name: Water Resources Research; Journal Volume: 41; Other Information: Submitted to Water Resources Research: Volume 41; Journal Publication Date: 2005

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  • Report No.: LBNL--54587
  • Grant Number: AC03-76SF00098
  • Office of Scientific & Technical Information Report Number: 840037
  • Archival Resource Key: ark:/67531/metadc785167

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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  • February 13, 2004

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  • Dec. 3, 2015, 9:30 a.m.

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  • April 1, 2016, 8:38 p.m.

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Wu, Yu-Shu & Pan, Lehua. An analytical solution for transient radial flow through unsaturated fractured porous media, article, February 13, 2004; Berkeley, California. (digital.library.unt.edu/ark:/67531/metadc785167/: accessed December 15, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.