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We simulate wave propagation in a partially saturated porous medium, where the
feature is the presence of a slow wave. The pores are filled with a wetting fluid and a nonwetting
fluid, and the model, based on a Biot-type three-phase theory. In the present paper,
the solution of a finite one dimensional column with Neumann and Dirichlet boundary
conditions are presented. The solution is obtained in the Laplace domain and the time-step
method is chosen to obtain the time domain solution. The material data of Massillion
sandstone are used for calculations. The column response to the dynamic loading is examined
in terms of displacement, pore water pressure, pore air pressure. By neglecting the viscosity
of the fluid, assuming very large permeabilities, the second compressional wave are
identified.
Keywords: partially saturated porous medium; wave propagation; compressional slow wave; simulation. |
full paper (pdf, 1632 Kb)