Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium
Abstract
We consider interaction of a normally incident time-harmonic longitudinal plane wave with a circular crack imbedded in a porous medium governed by Biot's equations of dynamic poroelasticity. The problem is formulated in cylindrical coordinates as a system of dual integral equations for the Hankel transform of the wave field, which is then reduced to a single Fredholm integral equation of the second kind. The solution of this equation yields elastic wave dispersion and attenuation in a medium containing a random istribution of aligned cracks. These dissipation effects are caused by wave induced fluid flow between pores and cracks. 2006 American Institute of Physics.
Citation
Source Title
Additional URLs
Faculty
Remarks
(c) American Institute of Physics
This article originally published in the journal:
Applied Physics Letters
Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium
Robert J. Galvin and Boris Gurevich
Appl. Phys. Lett. 88, 061918 (2006)
Collection
Related items
Showing items related by title, author, creator and subject.
-
Galvin, Robert (2007)Development of a hydrocarbon reservoir requires information about the type of fluid that saturates the pore space, and the permeability distribution that determines how the fluid can be extracted. The presence of fractures ...
-
Galvin, R.; Gurevich, Boris (2007)Physical properties of many natural and man-made materials can be modelled using the concept of poroelasticity. Some porous materials, in addition to the network of pores, contain larger inhomogeneities such as inclusions, ...
-
Makarynska, Dina (2010)Rock physics is an essential link connecting seismic data to the properties of rocks and fluids in the subsurface. One of the most fundamental questions of rock physics is how to model the effects of pore fluids on rock ...