Sun-Hoon Kim

Analysis of wave propagation in saturated porous media. I. Theoretical solution

This work presents theoretical and numerical treatments of wave propagation and damping in saturated porous media. In Part I a closed-form solution for wave propagation velocity and damping in fully saturated porous media is derived for a fully coupled model with compressible solid grains and pore water. This solution demonstrates existence of two types of compression waves, termed waves of the first and second kinds. In Part II of this work the theoretical solution is incorporated into the numerical code and the code is used in a parametric study on wave propagation velocity and damping.

Two‐phase finite element procedures for dynamic analysis of saturated porous media

A three‐dimensional dynamic analysis program for saturated porous‐rocks and soils (MPDAP‐3D) is developed in this study. The theoretical formulations incorporated in the proposed computer program are the extension of Biot’s two‐phase theory to non‐linear region. The generalized Hoek and Brown model is used to represent the skeleton constitutive relation. A three‐dimensional elasto‐plastic matrix for the generalized Hoek and Brown model is derived by extending two‐dimensional formulation. Numerical study for typical verification problems is carried out to show the validation of the computational algorithms of the computer program.

Analysis of wave propagation in saturated porous media. II. Parametric studies

Abstract The general theoretical solution for the wavespeeds and damping derived in Part I of this work, are incorporated into the computer code. In this study the code is used in a parametric study of the influence of excitation frequency and variations in material properties on propagation velocity and damping. Compressional wave velocity for waves of the first kind is shown to vary as a function of the frequency–permeability product, with a zone where wavespeed transitions from a lower bound value to a higher bound value with increasing values of the product. Damping is seen to be a maximum where the rate of change in wavespeed is greatest. Waves of the second kind also show a transition in wavespeed from near zero at low values of the frequency–permeability product to an upper bound value at higher values of the product.