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We are interested in the modeling of wave propagation in poroelastic media. We consider the biphasic Biot's model in an infinite bilayered medium, with a plane interface. We adopt the Cagniard-De Hoop's technique. This report is devoted to…

偏微分方程分析 · 数学 2008-07-25 Julien Diaz , Abdelaâziz Ezziani

We are interested in the modeling of wave propagation in an infinite bilayered acoustic/poroelastic media. We consider the biphasic Biot's model in the poroelastic layer. The first part is devoted to the calculation of analytical solution…

偏微分方程分析 · 数学 2008-07-29 Julien Diaz , Abdelaâziz Ezziani

Numerical methods are developed to simulate the wave propagation in heterogeneous 2D fluid / poroelastic media. Wave propagation is described by the usual acoustics equations (in the fluid medium) and by the low-frequency Biot's equations…

经典物理 · 物理学 2012-09-25 Guillaume Chiavassa , Bruno Lombard

Propagation of transient mechanical waves in porous media is numerically investigated in 1D. The framework is the linear Biot's model with frequency-independant coefficients. The coexistence of a propagating fast wave and a diffusive slow…

地球物理 · 物理学 2010-05-06 Guillaume Chiavassa , Bruno Lombard , Joël Piraux

This paper deals with the numerical modeling of wave propagation in porous media described by Biot's theory. The viscous efforts between the fluid and the elastic skeleton are assumed to be a linear function of the relative velocity, which…

流体动力学 · 物理学 2015-05-20 Guillaume Chiavassa , Bruno Lombard

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…

经典物理 · 物理学 2012-07-11 Gaëlle Lefeuve-Mesgouez , Arnaud Mesgouez , Guillaume Chiavassa , Bruno Lombard

This paper proposes a phase field model for fracture in poroelastic media. The porous medium is modeled based on the classical Biot poroelasticity theory and the fracture behavior is controlled by the phase field model. Moreover, the…

地球物理 · 物理学 2019-02-27 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

This paper extends the author's previous two-dimensional work with Ou and LeVeque to high-resolution finite volume modeling of systems of fluids and poroelastic media in three dimensions, using logically rectangular mapped grids. A method…

数值分析 · 数学 2013-08-30 Grady I. Lemoine

We consider the propagation of nonlinear plane waves in porous media within the framework of the Biot-Coussy biphasic mixture theory. The tortuosity effect is included in the model, and both constituents are assumed incompressible…

流体动力学 · 物理学 2021-07-07 Harold Berjamin

We derive the equations of motion for the dynamics of a porous media filled with an incompressible fluid. We use a variational approach with a Lagrangian written as the sum of terms representing the kinetic and potential energy of the…

流体动力学 · 物理学 2020-07-07 Tagir Farkhutdinov , François Gay-Balmaz , Vakhtang Putkaradze

A phase field model for fluid-driven dynamic crack propagation in poroelastic media is proposed. Therefore, classical Biot poroelasticity theory is applied in the porous medium while arbitrary crack growth is naturally captured by the phase…

数值分析 · 数学 2023-09-07 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk

Biot's theory provides a framework for computing seismic wavefields in fluid saturated porous media. Here we implement a velocity-stress staggered grid 2D finite difference algorithm to model the wave-propagation in poroelastic media. The…

地球物理 · 物理学 2019-07-29 Janaki Vamaraju , Mrinal K. Sen

A time-domain numerical modeling of transversely isotropic Biot poroelastic waves is proposed in two dimensions. The viscous dissipation occurring in the pores is described using the dynamic permeability model developed by…

计算物理 · 物理学 2015-06-24 Emilie Blanc , Guillaume Chiavassa , Bruno Lombard

Wave propagation in one-dimensional heterogeneous bistable media is studied using the Schl\"ogl model as a representative example. Starting from the analytically known traveling wave solution for the homogeneous medium, infinitely extended,…

斑图形成与孤子 · 物理学 2013-12-19 Jakob Löber , Markus Bär , Harald Engel

A time-domain numerical modeling of Biot poroelastic waves is presented. The viscous dissipation occurring in the pores is described using the dynamic permeability model developed by Johnson-Koplik-Dashen (JKD). Some of the coefficients in…

计算物理 · 物理学 2015-06-05 Emilie Blanc , Guillaume Chiavassa , Bruno Lombard

Biot's theory predicts the wave velocities of a saturated poroelastic granular medium from the elastic properties, density and geometry of its dry solid matrix and the pore fluid, neglecting the interaction between constituent particles and…

地球物理 · 物理学 2019-05-01 Hongyang Cheng , Stefan Luding , Nicolás Rivas , Jens Harting , Vanessa Magnanimo

In this work we develop a high-resolution mapped-grid finite volume method code to model wave propagation in two dimensions in systems of multiple orthotropic poroelastic media and/or fluids, with curved interfaces between different media.…

数值分析 · 数学 2013-05-15 Grady I. Lemoine , M. Yvonne Ou

The propagation of an acoustic wave through two-phase porous media with spatial variation in porosity is studied. The evolutionary wave equation is derived, and the propagation of an acoustic wave is numerically analyzed in application to…

软凝聚态物质 · 物理学 2015-03-20 J. I. Osypik , N. I. Pushkina , Ya. M. Zhileikin

A multiphysics data analytic platform is established for imaging poroelastic interfaces of finite permeability (e.g., hydraulic fractures) from elastic waveforms and/or acoustic pore pressure measurements. This is accomplished through…

数值分析 · 数学 2022-03-02 Fatemeh Pourahmadian , Kevish Napal

In this work we review discontinuous Galerkin finite element methods on polytopal grids (PolydG) for the numerical simulation of multiphysics wave propagation phenomena in heterogeneous media. In particular, we address wave phenomena in…

数值分析 · 数学 2021-11-04 Paola F. Antonietti , Michele Botti , Ilario Mazzieri
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