Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks
The Hashin-Shtrikman (HS) bounds define the range of bulk and shear moduli of an elastic composite, given the moduli of the constituents and their volume fractions. Recently, the HS bounds have been ex tended to the quasi-static moduli of composite viscoelastic media. Because viscoelastic moduli are...
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| Format: | Journal Article |
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Society of Exploration Geophysics
2012
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| Online Access: | http://hdl.handle.net/20.500.11937/5678 |
| _version_ | 1848744863886999552 |
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| author | Gurevich, Boris Makarynska, D. |
| author_facet | Gurevich, Boris Makarynska, D. |
| author_sort | Gurevich, Boris |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The Hashin-Shtrikman (HS) bounds define the range of bulk and shear moduli of an elastic composite, given the moduli of the constituents and their volume fractions. Recently, the HS bounds have been ex tended to the quasi-static moduli of composite viscoelastic media. Because viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on the complex plane. We analyze these general viscoelastic bounds for a particular case of a porous solid saturated with a Newtonian fluid. In our analysis, for poroelastic media, the viscoelastic bounds for the bulk modulus are represented by a semicircle and a segment of the real axis, connecting formal HS bounds that are computed for an inviscid fluid. Importantly, viscoelastic bounds for poroelastic media turn out to be independent of frequency. However, because the bounds are quasi-static, the frequency must be much lower than Biot’s characteristic frequency. Furthermore, we find that the bounds for the bulk modulus are attainable (realizable). We also find that these viscoelastic bounds account for viscous shear relaxation and squirt-flow dispersion, but do not account for Biot’s global flow dispersion, because the latter strongly depends on inertial forces. |
| first_indexed | 2025-11-14T06:08:14Z |
| format | Journal Article |
| id | curtin-20.500.11937-5678 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:08:14Z |
| publishDate | 2012 |
| publisher | Society of Exploration Geophysics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-56782017-09-13T16:02:18Z Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks Gurevich, Boris Makarynska, D. The Hashin-Shtrikman (HS) bounds define the range of bulk and shear moduli of an elastic composite, given the moduli of the constituents and their volume fractions. Recently, the HS bounds have been ex tended to the quasi-static moduli of composite viscoelastic media. Because viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on the complex plane. We analyze these general viscoelastic bounds for a particular case of a porous solid saturated with a Newtonian fluid. In our analysis, for poroelastic media, the viscoelastic bounds for the bulk modulus are represented by a semicircle and a segment of the real axis, connecting formal HS bounds that are computed for an inviscid fluid. Importantly, viscoelastic bounds for poroelastic media turn out to be independent of frequency. However, because the bounds are quasi-static, the frequency must be much lower than Biot’s characteristic frequency. Furthermore, we find that the bounds for the bulk modulus are attainable (realizable). We also find that these viscoelastic bounds account for viscous shear relaxation and squirt-flow dispersion, but do not account for Biot’s global flow dispersion, because the latter strongly depends on inertial forces. 2012 Journal Article http://hdl.handle.net/20.500.11937/5678 10.1190/GEO2012-0039.1 Society of Exploration Geophysics fulltext |
| spellingShingle | Gurevich, Boris Makarynska, D. Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks |
| title | Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks |
| title_full | Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks |
| title_fullStr | Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks |
| title_full_unstemmed | Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks |
| title_short | Rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks |
| title_sort | rigorous bounds for seismic dispersion and attenuation due to wave-induced fluid flow in porous rocks |
| url | http://hdl.handle.net/20.500.11937/5678 |