The Effective Elastic Moduli of Porous Granular Rocks

[+] Author and Article Information
P. J. Digby

Department of Mathematics and General Research, Koninklijke Shell Exploration and Production Laboratory, Volmerlaan 6, Rijswijk (ZH), The Netherlands

J. Appl. Mech 48(4), 803-808 (Dec 01, 1981) (6 pages) doi:10.1115/1.3157738 History: Received September 01, 1980; Revised March 01, 1981; Online July 21, 2009


A porous granular rock is modeled by an aggregate of identical, randomly stacked, spherical particles. Contacting particles are initially bonded together across small areas. A theory is developed for the deformation of two such spherical particles under equal and opposite forces acting through the line joining their centers. The theory is used to calculate the effective elastic moduli of the medium. The dependence of the derived elastic wave speeds on the confining pressure and adhesion radius of the contacting particles is then predicted.

Copyright © 1981 by ASME
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