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Book Chapter

On Elasticity of Porous Media

By
F. Gassmann
F. Gassmann
Zürich 1951
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Published:
January 01, 2007

Abstract

  • I.

    Subject of the paper: There are perfect and imperfect elastic media. Many of the media of imperfect elasticity are at least what we call of differential elasticity, i.e., they behave like media of perfect elasticity if they are subject to sufficiently small variations of stress. Elastic waves are transmitted through media of differential elasticity without perceptible loss of energy and without leaving changes of state in the medium. A special class of media of differential elasticity is dealt with, namely, porous media. Such a porous medium consists of a solid phase with a liquid or gaseous filling of the pores. The solid phase may be either a connected frame or an unsolidified aggregate of grains.

  • II.

    On elasticity of isotropic media: The differential elasticity of an isotropic medium is described by two moduli of elasticity, which in general depend on the average strain. Each other modulus of elasticity may be calculated from two of them. [See tabula (24) {Table 1 in section 24}.]

  • III.

    Characteristic quantities of the porous system: We have to distinguish the following notions relating to the porous system: (1) The solid matter of which the frame is built (index ^); (2) the frame, which is macroscopically isotropic (index –); (3) the filling of the pores (index ∼); and (4) the porous system, consisting of the frame and the filling of the pores (no index). The proportions of the volumina and of the masses are described by the porosity

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Contents

Society of Exploration Geophysicists Geophysics Reprint Series

Classics of Elastic Wave Theory

Michael A. Pelissier
Michael A. Pelissier
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Henning Hoeber
Henning Hoeber
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Norbert van de Coevering
Norbert van de Coevering
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Ian F. Jones
Ian F. Jones
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Society of Exploration Geophysicists
Volume
24
ISBN electronic:
9781560801931
Publication date:
January 01, 2007

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