Attenuated Wave Field in Fluid-Saturated Porous Medium with Excitations of Multiple Sources
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This research addresses the investigation of an elastic wave field in a homogeneous and isotropic porous medium which is fully saturated by a Newtonian viscous fluid. A new methodology is developed for describing the wave field in the medium excited by multiple energy sources. To quantify the relative displacements between the fluid and solid of the medium, the governing equations of the elastic wave propagation are derived in the form of displacements specially. The velocities and attenuation of the waves are considered as functions of viscosity and frequency. Making use of the Hankel function and the moving-coordinate method, a model of the wave motion with multiple cylindrical wave sources is built. Making use of the model established in this research, the relative displacement between the fluid and the solid can be quantified, and the wave field in the porous media can then be determined with the given energy sources. Numerical simulations of cylindrical waves from multiple energy sources propagating in the porous medium saturated by viscous fluid are performed for demonstrating the practicability of the model developed.
KeywordsPorous medium Wave propagation Multi-source wave model Viscous fluid Moving-coordinate method
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- Andrews G.E., Askey R., Roy R.: Special Functions. Cambridge University Press, Cambridge (2001)Google Scholar
- Biot M.A., Willis D.G.: The elastic coefficients of the theory of consolidation. J. Appl. Mech 24, 594–601 (1957)Google Scholar
- Carcione J.M.: Wave Fields in Real Media: Wave Propagation in Anisotropic, Anelastic and Porous Media. Pergamon, NY (2001)Google Scholar
- Hamidzadeh, H.R., Luo, A.C.J.: A semi-analytical for response of the surface of an elastic half-space subjected to vertical, harmonic, concentrated forces. The Symposium on Continuous Vibration and Control in ASME International Mechanical Engineering Congress and Exposition, Orlando, Florida, 5–10 Nov 2000. Vibration and Control of Continuous Systems, DE-vol. 107, pp. 39–44, (2000)Google Scholar
- Iassonov, P.P., Beresnev, I.A.: A model for enhanced fluid percolation in porous media by application of low-frequency elastic waves. J. Geophys. Res. 108(No. B3), (2003). doi: 10.1029/2001JB000683
- Lin, C.H., Lee, V.W., Trifunac, M.D.: On the reflection of waves in a poroelastic half-space saturated with non-viscous fluid. Report No. CE 01-04, Los Angeles, California (2001)Google Scholar
- Pao Y.H., Mow C.C.: Diffraction of Elastic Waves and Dynamic Stress Concentration. Crane-Russak Inc., New York (1973)Google Scholar
- Plona T.J., Johnson D.L.: Acoustic properties of porous systems: I. Phenomenologicaldescription. In: Johnson, D.L., Sen, P.N. (eds) Physics and Chemistry of Porous Media, pp. 89–104. American Institute of Physics, New York (1984)Google Scholar
- Vardoulakis I., Beskos D.: Dynamic behavior of nearly saturated porous media. Mech. Compos. Mater 5, 87–108 (1986)Google Scholar