Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves
A detailed analysis of the relationship between elastic waves in inhomogeneous, porous media and the effect of wave-induced fluid flow is presented. Based on the results of the poroelastic first-order statistical smoothing approximation applied to Biot's equations of poroelasticity, a model for...
| Main Authors: | , |
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| Format: | Journal Article |
| Published: |
2005
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| Online Access: | http://hdl.handle.net/20.500.11937/5537 |
| _version_ | 1848744824766726144 |
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| author | Muller, Tobias Gurevich, Boris |
| author_facet | Muller, Tobias Gurevich, Boris |
| author_sort | Muller, Tobias |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | A detailed analysis of the relationship between elastic waves in inhomogeneous, porous media and the effect of wave-induced fluid flow is presented. Based on the results of the poroelastic first-order statistical smoothing approximation applied to Biot's equations of poroelasticity, a model for elastic wave attenuation and dispersion due to wave-induced fluid flow in 3-D randomly inhomogeneous poroelastic media is developed. Attenuation and dispersion depend on linear combinations of the spatial correlations of the fluctuating poroelastic parameters. The observed frequency dependence is typical for a relaxation phenomenon. Further, the analytic properties of attenuation and dispersion are analyzed. It is shown that the low-frequency asymptote of the attenuation coefficient of a plane compressional wave is proportional to the square of frequency. At high frequencies the attenuation coefficient becomes proportional to the square root of frequency. A comparison with the 1-D theory shows that attenuation is of the same order but slightly larger in 3-D random media. Several modeling choices of the approach including the effect of cross correlations between fluid and solid phase properties are demonstrated. The potential application of the results to real porous materials is discussed. 2005 Acoustical Society of America. |
| first_indexed | 2025-11-14T06:07:36Z |
| format | Journal Article |
| id | curtin-20.500.11937-5537 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:07:36Z |
| publishDate | 2005 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-55372017-09-13T16:03:56Z Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves Muller, Tobias Gurevich, Boris A detailed analysis of the relationship between elastic waves in inhomogeneous, porous media and the effect of wave-induced fluid flow is presented. Based on the results of the poroelastic first-order statistical smoothing approximation applied to Biot's equations of poroelasticity, a model for elastic wave attenuation and dispersion due to wave-induced fluid flow in 3-D randomly inhomogeneous poroelastic media is developed. Attenuation and dispersion depend on linear combinations of the spatial correlations of the fluctuating poroelastic parameters. The observed frequency dependence is typical for a relaxation phenomenon. Further, the analytic properties of attenuation and dispersion are analyzed. It is shown that the low-frequency asymptote of the attenuation coefficient of a plane compressional wave is proportional to the square of frequency. At high frequencies the attenuation coefficient becomes proportional to the square root of frequency. A comparison with the 1-D theory shows that attenuation is of the same order but slightly larger in 3-D random media. Several modeling choices of the approach including the effect of cross correlations between fluid and solid phase properties are demonstrated. The potential application of the results to real porous materials is discussed. 2005 Acoustical Society of America. 2005 Journal Article http://hdl.handle.net/20.500.11937/5537 10.1121/1.1894792 fulltext |
| spellingShingle | Muller, Tobias Gurevich, Boris Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves |
| title | Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves |
| title_full | Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves |
| title_fullStr | Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves |
| title_full_unstemmed | Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves |
| title_short | Wave-induced fluid flow in random porous media: Attenuation and dispersion of elastic waves |
| title_sort | wave-induced fluid flow in random porous media: attenuation and dispersion of elastic waves |
| url | http://hdl.handle.net/20.500.11937/5537 |