Reflection of Plane Harmonic Waves at the Surface of Triple-Porosity Medium

This comprehensive study explores the reflection phenomenon at the surface of triple-porosity medium. It investigates the incidence of two primary waves and identifies five reflected waves within the medium. The study derives expressions for the reflection coefficients as a non-singular system of linear equations and calculates the energy distribution of the reflected waves in the form of an energy matrix. A numerical example is provided to analyze how the incident energy is partitioned for both fully closed and perfectly open pores. Additionally, the impact of incident direction on the partitioning of incident energy is examined, considering variations in homogeneity parameter, gas saturation, porosity, critical porosity, depth, and wave-induced fluid flow. The numerical interpretation confirms that during the reflection process, the conservation of incident energy is maintained at each angle of incidence, even in the presence of interaction energy.