Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation
Predictions of Biot's theory (BT) of poroelasticity (J. Acoust. Soc. Am. 28, 168 (1956)) and de Boer's theory of porous media (TPM) (Theory of Porous Media (Springer, Berlin, 2000)) for the low-frequency bulk modulus of a fluid-saturated porous medium are compared with the Gassmann equatio...
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| Format: | Journal Article |
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American Institute of Physics
2007
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| Online Access: | http://hdl.handle.net/20.500.11937/36190 |
| _version_ | 1848754700200968192 |
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| author | Gurevich, Boris |
| author_facet | Gurevich, Boris |
| author_sort | Gurevich, Boris |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Predictions of Biot's theory (BT) of poroelasticity (J. Acoust. Soc. Am. 28, 168 (1956)) and de Boer's theory of porous media (TPM) (Theory of Porous Media (Springer, Berlin, 2000)) for the low-frequency bulk modulus of a fluid-saturated porous medium are compared with the Gassmann equation (Vierteljahrsschr. Naturforsch. Ges. Zur. 96, 1 (1951)). It is shown that BT is consistent with the Gassmann equation, whereas TPM is not. It is further shown that the bulk modulus of a suspension of solid particles in a fluid as predicted by TPM is only correct if the particles are incompressible. |
| first_indexed | 2025-11-14T08:44:34Z |
| format | Journal Article |
| id | curtin-20.500.11937-36190 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:44:34Z |
| publishDate | 2007 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-361902019-03-18T05:37:03Z Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation Gurevich, Boris elastic moduli suspensions porous materials Predictions of Biot's theory (BT) of poroelasticity (J. Acoust. Soc. Am. 28, 168 (1956)) and de Boer's theory of porous media (TPM) (Theory of Porous Media (Springer, Berlin, 2000)) for the low-frequency bulk modulus of a fluid-saturated porous medium are compared with the Gassmann equation (Vierteljahrsschr. Naturforsch. Ges. Zur. 96, 1 (1951)). It is shown that BT is consistent with the Gassmann equation, whereas TPM is not. It is further shown that the bulk modulus of a suspension of solid particles in a fluid as predicted by TPM is only correct if the particles are incompressible. 2007 Journal Article http://hdl.handle.net/20.500.11937/36190 10.1063/1.2778763 http://creativecommons.org/licenses/by/3.0/ American Institute of Physics fulltext |
| spellingShingle | elastic moduli suspensions porous materials Gurevich, Boris Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation |
| title | Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation |
| title_full | Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation |
| title_fullStr | Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation |
| title_full_unstemmed | Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation |
| title_short | Comparison of the low-frequency predictions of Biot's and de Boer's poroelasticity theories with Gassmann's equation |
| title_sort | comparison of the low-frequency predictions of biot's and de boer's poroelasticity theories with gassmann's equation |
| topic | elastic moduli suspensions porous materials |
| url | http://hdl.handle.net/20.500.11937/36190 |