Elastic Wave Scattering by Two Spherical Inclusions in a Poroelastic Medium
Publication: Journal of Engineering Mechanics
Volume 131, Issue 9
Abstract
This study considers the most fundamental problem of multiple scattering in a poroelastic medium. It treats the interaction of a plane compressional elastic wave with a cluster of two of spherical inhomogeneities in a boundless fluid-saturated porous elastic formation. The novel features of Biot classic model for dynamic description of poroelastic material behavior along with the appropriate wave field expansions, the pertinent boundary conditions, and the translational addition theorems for spherical wave functions are employed to develop a closed-form solution in the form of infinite series. The analytical results are illustrated with numerical examples in which a pair of spherical inclusions is insonified by a plane (fast) compressional wave at end-on incidence. The effects of incident wave frequency, proximity of the two inclusions, and inclusion type are examined. Particular attention has been focused on multiple scattering interactions in addition to the slow wave coupling effects which is known to be the primary distinction of the scattering phenomenon in poroelasticity from the classical elastic case. The limiting case involving two elastic spheres submerged in an ideal unbounded fluid medium is considered and fair agreement with a well-known solution is established.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 131 • Issue 9 • September 2005
Pages: 953 - 965
Copyright
© 2005 ASCE.
History
Received: Jul 28, 2003
Accepted: Jun 2, 2004
Published online: Sep 1, 2005
Published in print: Sep 2005
Notes
Note. Associate Editor: Alexander H.-D. Cheng
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