Structural Factors in Shear Wave Transmission through Porous Media

This book aims to comprehensively explore the structural influences on the propagation of shear waves in porous media through a complex approach. The study is organized into five distinct chapters, each focusing on key aspects of the modeling and analysis process. In “Chapter-1: Introduction”, an overview on the subject seismology and basic terminology such as earthquakes, seismic waves and about their behaviour while travelling to different layers of the Earth has been discussed. This chapter is further divided into seven subsections. In “Chapter-2: Literature Survey”, a chronological literature survey related to the topic has been discussed. In next “Chapter-3: Effect of Inhomogeneity and Triangular Irregularity on Propagation of Shear Waves in an Anisotropic Porous Layer with Free Surface”, the study investigated the impact of triangular irregularity, heterogeneity, wavenumber, and phase velocity on the propagation of shear waves. Specifically, it examines a model comprising a transversely isotropic fluid-saturated porous layer overlying a heterogeneous elastic half-space with a free surface boundary. Additionally, the study analyzes the same model under rigid boundary condition in “Chapter-4: Analyzing the Influence of triangular irregularity, Anisotropy and porosity on Propagation of Shear Waves in Fluid-Saturated Porous Layer with rigid boundary”. In third and fourth chapter, a triangular irregularity is introduced at the interface between the layer and the half-space of the considered model and analytical solutions are obtained through Biot’s theory of elasticity, Fourier transformation techniques, and perturbation methods, yielding the dispersion equation for shear waves. Computational simulations using MATLAB graphical routines explore the influence of parameters such as inhomogeneity, porosity, and the irregularity's depth-to-layer height ratio on dispersion curves for phase velocity versus wave number. Results highlight the significant impact of anisotropy, inhomogeneity, irregularity shape, irregularity size, and layer height on shear wave phase velocity. The final chapter, “Chapter-5: Conclusions and Future Scope”, synthesizes the key findings of the study and discusses their implications for theory, practice, and future research directions. Further, in section “Bibliography”, the list of references has been given. We are grateful to the Department of Mathematics, Chandigarh University (Mohali, Punjab) for providing a favorable environment for academic and intellectual growth and extremely thanks to all who engage with this work, may it serve as a source of inspiration, knowledge, and further exploration in the fascinating field of shear wave propagation in porous media.