Generalized thermoelastic medium with diffusion and initial stress with double porosity structure under 3PHL model

This study examines the influence of initial stress on a two-dimensional thermoelastic medium with a doubly porous structure in the presence of diffusion. The analysis utilizes the normal mode method to derive analytical expressions for various physical parameters, where solutions are represented in an exponential form. A homogeneous thermoelastic half-space with double porosity is investigated, incorporating the effects of both diffusion and initial stress. The governing equations are formulated using the generalized thermoelasticity framework for materials with double porosity, along with the 3PHL model. Furthermore, explicit expressions for multiple physical quantities are obtained. The general solutions under specific boundary conditions are explored in detail, and numerical results are computed for further analysis. This research has potential applications in rock mechanics, geophysics, and the petroleum industry. Additionally, it may benefit researchers working in material science, smart materials, and the development of advanced materials.