dorsal/arxiv
View SchemaPhenomenological model of propagation of the elastic waves in a fluid-saturated porous solid with non-zero boundary slip velocity
| Authors | David Tsiklauri |
|---|---|
| Categories | |
| ArXiv ID | physics/0201045 |
| URL | https://arxiv.org/abs/physics/0201045 |
| DOI | 10.1121/1.1499134 |
| Journal | J. Acoust. Soc. Am., 112, 843-849 (2002) |
Abstract
Zhu & Granick [Phys. Rev. Lett. 87, 096105 (2001)] have recently experimentally established existence of a boundary slip in a Newtonian liquid. They reported typical values of the slip length of the order of few micro-meters. In this light, the effect of introduction of the boundary slip into the theory of propagation of elastic waves in a fluid-saturated porous medium formulated by Biot is investigated. The new model should allow to fit the experimental seismic data in circumstances when Biot's theory fails, as the introduction of phenomenological dependence of the slip velocity upon frequency, which is based on robust physical arguments, adds an additional degree of freedom to the model. If fact, it predicts higher than the Biot's theory values of attenuation coefficients of the both rotational and dilatational waves in the intermediate frequency domain, which is in qualitative agreement with the experimental data. Therefore, the introduction of the boundary slip yields three-fold benefits: (A) Better agreement of theory with an experimental data since the parametric space of the model is larger (includes effects of boundary slip); (B) Possibility to identify types of porous medium and physical situations where boundary slip is important; (C) Constrain model parameters that are related to the boundary slip.
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"abstract": "Zhu \u0026 Granick [Phys. Rev. Lett. 87, 096105 (2001)] have recently\nexperimentally established existence of a boundary slip in a Newtonian liquid.\nThey reported typical values of the slip length of the order of few\nmicro-meters. In this light, the effect of introduction of the boundary slip\ninto the theory of propagation of elastic waves in a fluid-saturated porous\nmedium formulated by Biot is investigated. The new model should allow to fit\nthe experimental seismic data in circumstances when Biot\u0027s theory fails, as the\nintroduction of phenomenological dependence of the slip velocity upon\nfrequency, which is based on robust physical arguments, adds an additional\ndegree of freedom to the model. If fact, it predicts higher than the Biot\u0027s\ntheory values of attenuation coefficients of the both rotational and\ndilatational waves in the intermediate frequency domain, which is in\nqualitative agreement with the experimental data. Therefore, the introduction\nof the boundary slip yields three-fold benefits: (A) Better agreement of theory\nwith an experimental data since the parametric space of the model is larger\n(includes effects of boundary slip); (B) Possibility to identify types of\nporous medium and physical situations where boundary slip is important; (C)\nConstrain model parameters that are related to the boundary slip.",
"arxiv_id": "physics/0201045",
"authors": [
"David Tsiklauri"
],
"categories": [
"physics.geo-ph",
"physics.flu-dyn"
],
"doi": "10.1121/1.1499134",
"journal_ref": "J. Acoust. Soc. Am., 112, 843-849 (2002)",
"title": "Phenomenological model of propagation of the elastic waves in a fluid-saturated porous solid with non-zero boundary slip velocity",
"url": "https://arxiv.org/abs/physics/0201045"
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