Inhomogeneous waves propagation in double-porosity thermoelastic media

Abstract

Purpose

The purpose of this study is to investigate the reflection of plane waves in a double-porosity (DP) thermoelastic medium.

Design/methodology/approach

To derive the theoretical formulas for elastic wave propagation velocities through the potential decomposition of wave-governing equations. The boundary conditions have been designed to incorporate the unique characteristics of the surface pores, whether they are open or sealed. This approach provides a more accurate and realistic mathematical interpretation of the situation that would be encountered in the field. The reflection coefficients are obtained through a linear system of equations, which is solved using the Gauss elimination method.

Findings

The solutions obtained from the governing equations reveal the presence of five inhomogeneous plane waves, consisting of four coupled longitudinal waves and a single transverse wave. The energy ratios of reflected waves are determined for both open and sealed pores on the stress-free, the thermally insulated surface of DP thermoelastic medium. In addition, the energy ratios are compared for the cases of a DP medium and a DP thermoelastic medium.

Originality/value

A numerical example is considered to investigate the effect of fluid type in inclusions, temperature and inhomogeneity on phase velocities and attenuation coefficients as a function of frequency. Finally, a sensitivity analysis is performed graphically to observe the effect of the various parameters on propagation characteristics, such as propagation/attenuation directions, phase shifts and energy ratios as a function of incident direction in double-porosity thermoelasticity medium.

Citation

Kumar, M., Bhagwan, J., Kaswan, P., Liu, X. and Kumari, M. (2023), "Inhomogeneous waves propagation in double-porosity thermoelastic media", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 8, pp. 2927-2962. https://doi.org/10.1108/HFF-03-2023-0146