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AN INTERACTION MODEL FOR ELASTIC WAVE PROPAGATION IN TWO‐PHASE MEDIA*
- Source: Geophysical Prospecting, Volume 25, Issue 3, Jul 1977, p. 481 - 495
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- 27 Apr 2006
Abstract
Abstract
The effect of interactions among spherical inclusions on the effective propagation of long wavelength elastic waves in a two‐phase medium is investigated theoretically. Interactions are taken into account in an average sense via a generalized self‐consistent scheme. Bounds on the effective elastic moduli are obtained by overestimating and neglecting contributions of neighbouring inclusions. An intermediate model is proposed, which introduces the effect of interactions into the effective properties without requiring more information about the geometry of the medium than the relative volumes of the constituents.