INTEGRAL EQUATIONS AND HARMONIC FUNDAMENTAL SOLUTIONS FOR WAVE EQUATIONS IN POROELASTIC MEDIA

This study explores the integral formulations and harmonic fundamental solutions for various media, including elastodynamic, scalar, and poroelastic media. Integral formulations are expressed in terms of boundary variables, linking internal domain variables to boundary conditions. The work highlights the significance of fundamental solutions in solving boundary integral equations, enabling numerical solutions using the Boundary Element Method (BEM). Detailed derivations and applications for each medium are presented, emphasizing methods to address singularities and reduce computational complexity. The results offer foundational insights for engineers and researchers applying BEM to complex media.