Bounds for seismic dispersion and attenuation in poroelastic rocks
Recently, Hashin-Shtrikman bounds for bulk and shear moduli of elastic composites have been extended to the moduli of composite viscoelastic media. Since viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on a complex plane. We apply these general viscoelastic bounds to a p...
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| Format: | Conference Paper |
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SEG
2011
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| Online Access: | http://hdl.handle.net/20.500.11937/3392 |
| _version_ | 1848744218855473152 |
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| author | Gurevich, Boris Makarynska, Dina De Paula, Osni |
| author2 | Society of Exploration Geophysics |
| author_facet | Society of Exploration Geophysics Gurevich, Boris Makarynska, Dina De Paula, Osni |
| author_sort | Gurevich, Boris |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Recently, Hashin-Shtrikman bounds for bulk and shear moduli of elastic composites have been extended to the moduli of composite viscoelastic media. Since viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on a complex plane. We apply these general viscoelastic bounds to a particular case of a porous solid saturated with a Newtonian fluid. Our analysis shows that for poroelastic media, the viscoelastic bounds for the bulk modulus are represented by a semi-circle and a segment of the real axis, connecting formal HS bounds (computed for an inviscid fluid). Furthermore, these bounds are independent of frequency and realizable. We also show that these viscoelastic bounds account for viscous shear relaxation and squirt-flow dispersion, but do not account for Biot's global flow dispersion. |
| first_indexed | 2025-11-14T05:57:59Z |
| format | Conference Paper |
| id | curtin-20.500.11937-3392 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T05:57:59Z |
| publishDate | 2011 |
| publisher | SEG |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-33922018-09-06T05:47:24Z Bounds for seismic dispersion and attenuation in poroelastic rocks Gurevich, Boris Makarynska, Dina De Paula, Osni Society of Exploration Geophysics Recently, Hashin-Shtrikman bounds for bulk and shear moduli of elastic composites have been extended to the moduli of composite viscoelastic media. Since viscoelastic moduli are complex, the viscoelastic bounds form a closed curve on a complex plane. We apply these general viscoelastic bounds to a particular case of a porous solid saturated with a Newtonian fluid. Our analysis shows that for poroelastic media, the viscoelastic bounds for the bulk modulus are represented by a semi-circle and a segment of the real axis, connecting formal HS bounds (computed for an inviscid fluid). Furthermore, these bounds are independent of frequency and realizable. We also show that these viscoelastic bounds account for viscous shear relaxation and squirt-flow dispersion, but do not account for Biot's global flow dispersion. 2011 Conference Paper http://hdl.handle.net/20.500.11937/3392 10.1190/1.3627636 SEG fulltext |
| spellingShingle | Gurevich, Boris Makarynska, Dina De Paula, Osni Bounds for seismic dispersion and attenuation in poroelastic rocks |
| title | Bounds for seismic dispersion and attenuation in poroelastic rocks |
| title_full | Bounds for seismic dispersion and attenuation in poroelastic rocks |
| title_fullStr | Bounds for seismic dispersion and attenuation in poroelastic rocks |
| title_full_unstemmed | Bounds for seismic dispersion and attenuation in poroelastic rocks |
| title_short | Bounds for seismic dispersion and attenuation in poroelastic rocks |
| title_sort | bounds for seismic dispersion and attenuation in poroelastic rocks |
| url | http://hdl.handle.net/20.500.11937/3392 |