Abstract

The present paper is concerned with the fundamental solution and propagation of plane waves in swelling porous thermoelastic medium (SPTH) consisting of mixtures of solid, fluid, and gas. Fundamental solution in the form of elementary functions is obtained. It is observed that there exist four longitudinal waves and two transversal waves prssaopagating with different velocities. Numerical computations are performed to compute phase velocities and attenuation coefficients of the plane waves propagating in the medium. The results so obtained are presented graphically and compared to cases of swelling porous medium (SP) and without swelling porous thermoelastic medium (ELTH). The significant effect of swelling porosity is studied on the phase velocity and attenuation coefficient due to propagation of plane waves. Some basic properties of the fundamental solution are also deduced in the assumed model. These results are quite useful in the field of oil exploration industries and structure-related problems.

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