Wave propagation in a 1-D partially saturated poroelastic column

SUMMARY Based on the theory of mixtures, a dynamic three phase model for partially saturated poroelasticity is established. This model is applied to a 1-D column and an analytical solution in the Laplace domain is deduced. By using the convolution quadrature method the solution in the time domain is obtained. Using the material data of Massillon sandstone the three different compressional waves, the fast wave, the second slow wave, and the third slow wave, are calculated and validated with the Biot–Gassmann prediction. The wave propagation behaviour in terms of displacement and pore pressure is also examined with the analytical solution. By neglecting the viscous behaviour of the interaction between the fluids and the solid the second and the third slow compressional waves are identified.

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