Elastic wave propagation and attenuation in a generalized thermoporoelastic model

Abstract

Purpose

The purpose of this paper is to compute the phase velocities and attenuation coefficients of coupled longitudinal waves in a generalized thermoporoelastic model and to observe the effect of porosity, frequency and thermal parameters on the phase velocities and attenuation coefficients on these waves graphically.

Design/methodology/approach

The linear governing equations of a generalized thermoporoelastic model in the context of Lord and Shulman theory of generalized thermoelasticity are solved with the help of plane harmonic solution method to show the existence of one shear and three kinds of coupled longitudinal waves.

Findings

The results obtained show the dependence of phase velocities and attenuation coefficients of coupled longitudinal waves on frequency, porosity, relaxation times and other material parameters.

Originality/value

The problems on coupled heat‐fluid flow in a saturated deformable porous medium are important in various engineering fields, for example, petroleum engineering, chemical engineering, pavement engineering and nuclear waste management. A new generalized thermoporoelastic model is formulated to study the wave phenomena and their dependence on various material parameters.

Citation

Singh, B. (2013), "Elastic wave propagation and attenuation in a generalized thermoporoelastic model", Multidiscipline Modeling in Materials and Structures, Vol. 9 No. 2, pp. 256-267. https://doi.org/10.1108/MMMS-04-2013-0032