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A NUMERICAL SOLUTION OF SURFACE WAVE IN POROUS MEDIA


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Abstract

A model of wave propagation in porous medium is derived, based on the pressure, giving a diffusive-like equation. The model is then solved numerically by a finite difference method. Taylor approximation is applied to the nonlinear term to obtain a diagonal dominant matrix corresponding to the finite difference equations, so that Gauss-Seidel iteration can used to solve the system of equations. As the result, over-damped wave is performed in this paper, related to quality of the medium.

 

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Last update: 2024-04-27 01:04:45

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