Purpose

The purposes of this study, a mathematical model of generalized thermoelastic theory subjected to thermal loading is presented to study the wave propagation in a two-dimensional porous medium.

Design/methodology/approach

By using Fourier–Laplace transforms with the eigenvalue approach, the physical quantities are analytically obtained.

Findings

The derived method is evaluated with numerical results, which are applied to the porous medium in simplified geometry.

Originality/value

Numerical outcomes for all the physical quantities considered are implemented and represented graphically. The variations of temperature, the changes in volume fraction field, the displacement components and the stress components have been depicted graphically.