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.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Baehr, A. L., and Hult, M. F.(1991). “Evaluation of unsaturated zone air permeability through pneumatic tests.”Water Resour. Res., 27(10), 2065–2617.
2.
Bear, J. (1988). Dynamics of fluids in porous media . Dover Publishers, New York, N.Y., 764.
3.
Collins, R. E. (1961). Flow of fluids through porous media . Reinhold Publishing, New York, N.Y.
4.
Hantush, M. S. (1964). “Hydraulics of wells.”Advances in hydroscience, Vol. 1, Academic Press, San Diego, Calif., 281–442.
5.
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.
6.
Ozisik, M. N. (1980). Heat conduction . John Wiley & Sons, New York, N.Y., 687.
7.
Shan, C., Falta, R. W., and Javandel, I.(1992). “Analytical solutions for steady state gas flow to a soil vapor extraction well.”Water Resour. Res., 28(4), 1105–1120.
Information & Authors
Information
Published In
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: May 1, 1995
Published in print: May 1995
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.