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Transport in Porous Media

, Volume 79, Issue 3, pp 359–375 | Cite as

Attenuated Wave Field in Fluid-Saturated Porous Medium with Excitations of Multiple Sources

  • Guoqing Wang
  • Liming DaiEmail author
  • Mingzhe Dong
Article

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.

Keywords

Porous medium Wave propagation Multi-source wave model Viscous fluid Moving-coordinate method 

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Copyright information

© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Mathematics and PhysicsNorth China Electric Power UniversityBeijingP. R. China
  2. 2.Industrial Systems EngineeringUniversity of ReginaReginaCanada
  3. 3.Department of Chemical and Petroleum EngineeringUniversity of CalgaryCalgaryCanada

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