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dc.contributor.authorCaspari, Eva
dc.contributor.authorMϋller, Tobias
dc.contributor.authorRubino, G.
dc.contributor.authorGurevich, Boris
dc.contributor.editorAmerican Society of Civil Engineers
dc.identifier.citationCaspari, E. and Mϋller, T. and Rubino, G. and Gurevich, B. 2013. Biot's Slow Wave and Effective Hydraulic Conductivity in Random Media, in American Society of Civil Engineers (ed), Proceedings of the 5th BIOT Conference of Poromechanics, Jul 10-12 2013, pp. 217-226. Vienna: 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.

dc.publisherAmerican Society of Civil Engineers
dc.titleBiot's Slow Wave and Effective Hydraulic Conductivity in Random Media
dc.typeConference Paper
dcterms.source.titlePoromechanics V: Proceedings of the Fifth Biot Conference on Poromechanics
dcterms.source.seriesPoromechanics V: Proceedings of the Fifth Biot Conference on Poromechanics
dcterms.source.conference5th BIOT Conference of Poromechanics
dcterms.source.conference-start-dateJul 10 2013
curtin.departmentDepartment of Exploration Geophysics
curtin.accessStatusFulltext not available

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