Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium
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 Hank...
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| Format: | Journal Article |
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American Institute of Physics
2006
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| Online Access: | http://apl.aip.org/ http://hdl.handle.net/20.500.11937/41486 |
| _version_ | 1848756159466438656 |
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| author | Galvin, Robert Gurevich, Boris |
| author_facet | Galvin, Robert Gurevich, Boris |
| author_sort | Galvin, Robert |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T09:07:46Z |
| format | Journal Article |
| id | curtin-20.500.11937-41486 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:07:46Z |
| publishDate | 2006 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-414862017-09-13T15:58:41Z Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium Galvin, Robert Gurevich, Boris 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. 2006 Journal Article http://hdl.handle.net/20.500.11937/41486 10.1063/1.2165178 http://apl.aip.org/ American Institute of Physics fulltext |
| spellingShingle | Galvin, Robert Gurevich, Boris Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium |
| title | Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium |
| title_full | Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium |
| title_fullStr | Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium |
| title_full_unstemmed | Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium |
| title_short | Interaction of an elastic wave with a circular crack in a fluid-saturated porous medium |
| title_sort | interaction of an elastic wave with a circular crack in a fluid-saturated porous medium |
| url | http://apl.aip.org/ http://hdl.handle.net/20.500.11937/41486 |