Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium
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, cavities, fractures or cracks. A common method of detecting such inhomogeneit...
| Main Authors: | , |
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| Format: | Journal Article |
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Elsevier
2007
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| Online Access: | http://hdl.handle.net/20.500.11937/46119 |
| _version_ | 1848757471531761664 |
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| author | Galvin, R. Gurevich, Boris |
| author_facet | Galvin, R. Gurevich, Boris |
| author_sort | Galvin, R. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | 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, cavities, fractures or cracks. A common method of detecting such inhomogeneities is based on the use of elastic wave scattering. 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 co-ordinates 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. It is found that the scattering that takes place is predominantly due to wave inducedfluid flow between the pores and the crack. The scattering magnitude depends on the size of the crack relative to the slow wave wavelength and has it's maximum value when they are of the same order. |
| first_indexed | 2025-11-14T09:28:37Z |
| format | Journal Article |
| id | curtin-20.500.11937-46119 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:28:37Z |
| publishDate | 2007 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-461192019-02-19T05:35:18Z Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium Galvin, R. Gurevich, Boris Biot theory slow wave poroelasticity fractured medium 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, cavities, fractures or cracks. A common method of detecting such inhomogeneities is based on the use of elastic wave scattering. 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 co-ordinates 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. It is found that the scattering that takes place is predominantly due to wave inducedfluid flow between the pores and the crack. The scattering magnitude depends on the size of the crack relative to the slow wave wavelength and has it's maximum value when they are of the same order. 2007 Journal Article http://hdl.handle.net/20.500.11937/46119 10.1016/j.ijsolstr.2007.04.011 Elsevier fulltext |
| spellingShingle | Biot theory slow wave poroelasticity fractured medium Galvin, R. Gurevich, Boris Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium |
| title | Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium |
| title_full | Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium |
| title_fullStr | Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium |
| title_full_unstemmed | Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium |
| title_short | Scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium |
| title_sort | scattering of a longitudinal wave by a circular crack in a fluid-saturated porous medium |
| topic | Biot theory slow wave poroelasticity fractured medium |
| url | http://hdl.handle.net/20.500.11937/46119 |