Effective Medium Theories for Multicomponent Poroelastic Composites
Publication: Journal of Engineering Mechanics
Volume 132, Issue 5
Abstract
It is demonstrated that effective medium theories for poroelastic composites such as rocks can be formulated easily by analogy to well-established methods used for elastic composites. An identity analogous to Eshelby’s classic result has been derived previously for use in composites containing arbitrary ellipsoidal-shaped inclusions. This result is the starting point for new methods of estimation, including generalizations of the coherent potential approximation, differential effective medium theory, and two explicit schemes. Results are presented for estimating drained shear and bulk modulus, the Biot–Willis parameter, and Skempton’s coefficient. Three of the methods considered appear to be quite reliable estimators, while one of the explicit schemes is found to have some undesirable characteristics. Furthermore, the results obtained show that the actual microstructure should be taken carefully into account when trying to decide which of these methods to apply in a given situation.
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Acknowledgments
The writer thanks Boris Gurevich for constructive comments and criticism of the paper. Work performed by the University of California, Lawrence Livermore Laboratory, under the auspices of the U.S. Department of Energy under Contract No. DOEW-7405-ENG-48 and supported specifically by the Geosciences Research Program of the DOE Office of Basic Energy Sciences, Division of Chemical Sciences, Geosciences and Biosciences.DOE
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Published In
Journal of Engineering Mechanics
Volume 132 • Issue 5 • May 2006
Pages: 519 - 531
Copyright
© 2006 ASCE.
History
Received: Feb 18, 2005
Accepted: Aug 5, 2005
Published online: May 1, 2006
Published in print: May 2006
Notes
Note. Associate Editor: Younane N. Abousleiman
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