Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media
We study Biot’s slow wave propagation in the presence of strong hydraulic conductivity fluctuations in the low-frequency range. The latter condition implies that the slow wave is a diffusion process. To elucidate the characteristics of the diffusion wave in an inhomogeneous medium we perform numeric...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Conference Paper |
| Published: |
American Society of Civil Engineers
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/48199 |
| _version_ | 1848758043905359872 |
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| author | Caspari, Eva Mϋller, Tobias Rubino, G. Gurevich, Boris |
| author2 | American Society of Civil Engineers |
| author_facet | American Society of Civil Engineers Caspari, Eva Mϋller, Tobias Rubino, G. Gurevich, Boris |
| author_sort | Caspari, Eva |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | We study Biot’s slow wave propagation in the presence of strong hydraulic conductivity fluctuations in the low-frequency range. The latter condition implies that the slow wave is a diffusion process. To elucidate the characteristics of the diffusion wave in an inhomogeneous medium we perform numerical simulations. These simulations demonstrate that the diffusion wave field does not only depend on the spatial distribution of the in homogeneities but also on the frequency. Therefore, if we seek to replace the inhomogeneous medium by an effective, up-scaled medium the corresponding effective hydraulic conductivity will become frequency-dependent. Based on a strong contrast approximation, suggested in the context of an effective dielectric constant, closed form expressions for the effective, frequency-dependent conductivity are derived. These expressions yield in 1D the exact low- and high-frequency bounds, while in 3D the frequency limits for certain optimal microstructures can be obtained. |
| first_indexed | 2025-11-14T09:37:43Z |
| format | Conference Paper |
| id | curtin-20.500.11937-48199 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:37:43Z |
| publishDate | 2013 |
| publisher | American Society of Civil Engineers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-481992017-09-13T14:20:53Z Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media Caspari, Eva Mϋller, Tobias Rubino, G. Gurevich, Boris American Society of Civil Engineers We study Biot’s slow wave propagation in the presence of strong hydraulic conductivity fluctuations in the low-frequency range. The latter condition implies that the slow wave is a diffusion process. To elucidate the characteristics of the diffusion wave in an inhomogeneous medium we perform numerical simulations. These simulations demonstrate that the diffusion wave field does not only depend on the spatial distribution of the in homogeneities but also on the frequency. Therefore, if we seek to replace the inhomogeneous medium by an effective, up-scaled medium the corresponding effective hydraulic conductivity will become frequency-dependent. Based on a strong contrast approximation, suggested in the context of an effective dielectric constant, closed form expressions for the effective, frequency-dependent conductivity are derived. These expressions yield in 1D the exact low- and high-frequency bounds, while in 3D the frequency limits for certain optimal microstructures can be obtained. 2013 Conference Paper http://hdl.handle.net/20.500.11937/48199 10.1061/9780784412992.025 American Society of Civil Engineers restricted |
| spellingShingle | Caspari, Eva Mϋller, Tobias Rubino, G. Gurevich, Boris Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media |
| title | Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media |
| title_full | Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media |
| title_fullStr | Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media |
| title_full_unstemmed | Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media |
| title_short | Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media |
| title_sort | biot's slow wave and effective hydraulic conductivity in random media |
| url | http://hdl.handle.net/20.500.11937/48199 |