One-dimensional transient wave propagation in fluid-saturated incompressible porous media

DOI10.1007/BF00787910zbMath0767.73013OpenAlexW46647164MaRDI QIDQ1802895

Wolfgang Ehlers, Zhangfang Liu, Reint de Boer

Publication date: 29 June 1993

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00787910

zbMATH Keywords

Laplace transformdynamic responsefield equationsviscoelastic solidsone-dimensional analytical solution

Mathematics Subject Classification ID

Bulk waves in solid mechanics (74J10) Inhomogeneity in solid mechanics (74E05) Flows in porous media; filtration; seepage (76S05)

Related Items (38)

Surface wave propagation in a fluid-saturated incompressible porous medium ⋮ A time-domain FEM approach based on implicit Green's functions for the dynamic analysis of porous media ⋮ Investigating the effect of micro-structure on the deformation of saturated fibrous media using direct numerical simulations ⋮ An extended polygon scaled boundary finite element method for the nonlinear dynamic analysis of saturated soil ⋮ Von Neumann stability analysis of the \(u-p\) reproducing kernel formulation for saturated porous media ⋮ Wave propagation in strain gradient poroelastic medium with microinertia: closed-form and finite element solutions ⋮ DQEM for analyzing dynamic characteristics of layered fluid-saturated porous elastic media ⋮ Reflection and transmission of plane waves between two different fluid-saturated porous half-spaces ⋮ A simple non-iterative uncoupled algorithm for nonlinear pore-dynamic analyses ⋮ Wave propagation in 3-D poroelastic media including gradient effects ⋮ Stability analysis of finite difference schemes revisited: A study of decoupled solution strategies for coupled multifield problems ⋮ A consistent u-p formulation for porous media with hysteresis ⋮ Dynamic hydraulic fracturing in partially saturated porous media ⋮ Transient dynamic analysis of a fluid-saturated porous gradient elastic column ⋮ Dynamic wave propagation in infinite saturated porous media half spaces ⋮ Unnamed Item ⋮ An effective and stabilised \((\mathbf{u} - \boldsymbol{p_l})\) SPH framework for large deformation and failure analysis of saturated porous media ⋮ Iterative dynamic analysis of linear and nonlinear fully saturated porous media considering edge-based smoothed meshfree techniques ⋮ Implicit dynamic three-dimensional finite element analysis of an inelastic biphasic mixture at finite strain. I: application to a simple geomaterial ⋮ A polyhedral scaled boundary finite element method for three-dimensional dynamic analysis of saturated porous media ⋮ Reflection and transmission of plane waves between two different fluid saturated porous half-spaces ⋮ Transient wave propagation in a one-dimensional poroelastic column ⋮ Penalty finite element method for nonlinear dynamic response of viscous fluid-saturated biphase porous media. ⋮ Dynamics of porous media at finite strain ⋮ DQM for dynamic response of fluid-saturated visco-elastic porous media ⋮ A time-domain boundary element formulation for the dynamic analysis of non linear porous media ⋮ \texttt{B} free finite element approach for saturated porous media: consolidation ⋮ Propagation of Elastic Waves at Micropolar Viscoelastic Solid/Fluid-Saturated Incompressible Porous Solid Interface ⋮ A mixed three-node triangular element with continuous nodal stress for fully dynamic consolidation of porous media ⋮ Soil–Water-Structure Interaction Algorithm in Smoothed Particle Hydrodynamics (SPH) with Application to Deep-Penetrating Problems ⋮ Three-dimensional numerical manifold formulation with continuous nodal gradients for dynamics of elasto-plastic porous media ⋮ Unnamed Item ⋮ Finite element analysis of wave propagation in fluid-saturated porous media ⋮ Nonlinear analysis of interacting saturated porous and elastic media by time-domain FEM/BEM iterative coupling procedures ⋮ Exact solutions for one-dimensional transient response of fluid-saturated porous media ⋮ A comparison of variational formats for porous media subjected to dynamic loading ⋮ Macroscopic Lagrangian formulation of poroelasticity with porosity dynamics ⋮ Direct numerical simulation of saturated deformable porous media using parallel hybrid Lattice-Boltzmann and finite element method

Cites Work

• Unnamed Item
• The development of the concept of effective stresses
• Dynamic behaviour of a porous medium saturated by a Newtonian fluid
• Incompressible porous media models by use of the theory of mixtures
• Nonlinear transient phenomena in saturated porous media
• Propagation of waves in a fluid-saturated porous elastic solid
• Dynamic behaviour of saturated porous media; The generalized Biot formulation and its numerical solution
• An analytical solution for the transient response of saturated porous elastic solids

This page was built for publication: One-dimensional transient wave propagation in fluid-saturated incompressible porous media