Elastic waves in layered media: Two-scale homogenization approach
Using the two-scale convergence approach, we derive equations which govern transversal time-harmonic waves through a layered medium taking the form of a poroelastic composite saturated with a viscous fluid. To improve convergence, we construct a corrector. We study how wave speed and attenuation tim...
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| Veröffentlicht in: | European journal of applied mathematics 2012-12, Vol.23 (6), p.691-707 |
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| container_title | European journal of applied mathematics |
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| creator | SHELUKHIN, V. V. ISAKOV, A. E. |
| description | Using the two-scale convergence approach, we derive equations which govern transversal time-harmonic waves through a layered medium taking the form of a poroelastic composite saturated with a viscous fluid. To improve convergence, we construct a corrector. We study how wave speed and attenuation time depend on porosity and frequency. We prove that the Darcy permeability and the acoustic permeability in the Biot equations do not coincide. |
| doi_str_mv | 10.1017/S0956792512000204 |
| format | Article |
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| identifier | ISSN: 0956-7925 |
| ispartof | European journal of applied mathematics, 2012-12, Vol.23 (6), p.691-707 |
| issn | 0956-7925 1469-4425 |
| language | eng |
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| source | Cambridge Journals |
| subjects | Acoustics Applied mathematics Attenuation Convergence Homogenizing Mathematical analysis Permeability Porosity Viscous fluids |
| title | Elastic waves in layered media: Two-scale homogenization approach |
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