Compressibility Moduli for Porous Materials Incorporating Volume Fraction
Publication: Journal of Engineering Mechanics
Volume 132, Issue 11
Abstract
Traditional deformation parameters such as drained, unjacketed, and pseudo-bulk compressibilities are developed for a saturated porous medium, assuming they can be uniquely determined by measuring the liquid pressure, confining pressure, and changes in volume. Physically, however, the liquid volume fraction (porosity for a saturated porous medium) plays an important role, yet it is not directly measurable. In this paper the compressibilities are defined in terms of the experiments used to evaluate them and then mathematically related to the compressibilities of the liquid and solid phases and the volume fraction. The results can then be used to determine the effects of the volume fraction and compressibilities of each phase on the deformation properties of the porous medium. This theory is then shown to be a generalization of previous work, and comparisons are made with previously derived relationships of Zimmerman, Biot, and Gassmann.
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Acknowledgments
This work was supported by the National Science Foundation under award number DMS-0308905.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 132 • Issue 11 • November 2006
Pages: 1205 - 1214
Copyright
© 2006 ASCE.
History
Received: Jul 20, 2005
Accepted: Jan 31, 2006
Published online: Nov 1, 2006
Published in print: Nov 2006
Notes
Note. Associate Editor: Younane N. Abousleiman
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