Normal Mode Analysis of Rotating Transversely Isotropic Poroelastic Half-Space Subjected to Rotation and Gravity
Abstract
This study looked into the problem of a poroelastic half-space soil medium with variable properties under Biot's theory. The study's findings have broad applications in industries such as oil and gas, geophysics, hydrogeology, biomedical engineering, civil engineering, and material science. It provides valuable insights for optimizing processes, improving designs, and enhancing our understanding of complex phenomena in poroelastic systems subjected to rotation and gravity. This evaluation involves assessing the effects of gravity and rotation on non-dimensional excess pore water pressure, as well as vertical and horizontal displacements and stresses in the poroelastic half-space when exposed to time-harmonic loads. The resulting non-dimensional coupled equations were solved using the normal mode analysis technique, and the outcomes were graphically represented using MATHEMATICA software. The results demonstrated that the magnitudes of all the quantities increased with time, while rotation had an increasing effect on normal stress and vertical displacement but the opposite effect on pore pressure, tangential stress and horizontal displacement.
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