Attenuated Wave Field in Fluid-Saturated Porous Medium with Excitations of Multiple Sources |
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Authors: | Guoqing Wang Liming Dai Mingzhe Dong |
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Institution: | (1) Mathematics and Physics, North China Electric Power University, Beijing, 102206, P. R. China;(2) Industrial Systems Engineering, University of Regina, Regina, SK, S4S 0A2, Canada;(3) Department of Chemical and Petroleum Engineering, University of Calgary, Calgary, AB, T2N 1N4, Canada |
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Abstract: | 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. |
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Keywords: | Porous medium Wave propagation Multi-source wave model Viscous fluid Moving-coordinate method |
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