TECHNICAL NOTES
May 1, 1995

Analytical Solution to Two-Dimensional Axisymmetric Gas Flow with Klinkenberg Effect

Publication: Journal of Environmental Engineering
Volume 121, Issue 5

Abstract

The gas-slippage phenomenon of gas permeability, commonly known as the Klinkenberg effect, has been neglected in the analysis of gas flow. In this work, an exact analytical solution to the gas flow in a two-dimensional axisymmetric-flow domain with anisotropic gas permeability that includes the Klinkenberg effect is presented. The solution is also extended to provide an analytical expression for the stream function. The results suggest that the Klinkenberg effect is important with low-permeable materials such as clay and silt. The errors involved in neglecting the Klinkenberg effect are highest at the well and are reduced with the radial distance.

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References

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Baehr, A. L., and Hult, M. F.(1991). “Evaluation of unsaturated zone air permeability through pneumatic tests.”Water Resour. Res., 27(10), 2065–2617.
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Hantush, M. S. (1964). “Hydraulics of wells.”Advances in hydroscience, Vol. 1, Academic Press, San Diego, Calif., 281–442.
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Klinkenberg, L. J. (1941). The permeability of porous media to liquids and gases, in drilling and production practice . American Petroleum Institute, New York, N.Y.
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Go to Journal of Environmental Engineering
Journal of Environmental Engineering
Volume 121Issue 5May 1995
Pages: 417 - 420

History

Published online: May 1, 1995
Published in print: May 1995

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Authors

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Jagath J. Kaluarachchi, Member, ASCE
Asst. Prof., Utah Water Res. Lab., College of Engrg., Utah State Univ., Logan, UT 84322-8200.

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