NORMAL MODE SUPERPOSITION METHOD FOR TRANSIENT RESPONSE ANALYSES OF LAYERED POROELASTIC MEDIA

Tube wave signatures in cylindrically layered poroelastic media computed with spectral method

S U M M A R Y This paper describes a new algorithm based on the spectral method for the computation of Stoneley wave dispersion and attenuation propagating in cylindrical structures composed of fluid, elastic and poroelastic layers. The spectral method is a numerical method which requires discretization of the structure along the radial axis using Chebyshev points. To approximate the differenti...

Transient poroelastic response of equivalent porous media over a mining panel

A transient poroelastic formulation based on the Biot consolidation theory is presented to study the impact of underground longwall mining of coal on strata deformation and the subsequent modification of hydrogeological properties. A finite-element model is used where the geometric conditions may be complex. The important parameters in this model are identified as pore pressure ratio, ct 1 and ...

On a Mode Superposition Method for Fluid-structure Interaction Problems

In this paper, we present a mode superposition method for uid-structure interaction problems based on velocity potential and pressure formulation for acoustic uids and displacement formulation for solids. The eeectiveness of the proposed numerical procedure is demonstrated in a test example with seismic ground motion eeects. 1 INTRODUCTION Fluid-structure interaction systems are widely used in ...

Semi-analytical and numerical methods for computing transient waves in 2D acoustic / poroelastic stratified media

Wave propagation in a stratified fluid / porous medium is studied here using analytical and numerical methods. The semi-analytical method is based on an exact stiffness matrix method coupled with a matrix conditioning procedure, preventing the occurrence of poorly conditioned numerical systems. Special attention is paid to calculating the Fourier integrals. The numerical method is based on a hi...

Dynamic Analysis of Linear Structural Systems with Nonlinear Vibrating Isolators Using Mode Superposition Method