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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 2008-07-29 Julien Diaz , Abdelaâziz Ezziani

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

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

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 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

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

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

We established the propagation equation of acoustical wave in media with the solid/porous media cylindrical boundary and obtained the analytic solution. We suggested the boundary condition on solid-porous media cylindrical boundary. Based…

材料科学 · 物理学 2015-11-11 Un-Son Ri , Un-Gyong An , Song-Jin Im

A theory of the propagation of acoustic waves in a porous medium filled with superfluid solution is developed. The elastic coefficients in the system of equations are expressed in terms of physically measurable quantities. The equations…

软凝聚态物质 · 物理学 2009-11-11 Sh. E. Kekutia , N. D. Chkhaidze

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

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

We generalize the invariant imbedding theory of the wave propagation and derive new invariant imbedding equations for the propagation of arbitrary number of coupled waves of any kind in arbitrarily-inhomogeneous stratified media, where the…

光学 · 物理学 2009-11-10 Kihong Kim , Dong-Hun Lee , H. Lim

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

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

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

We study the propagation of acoustic waves in a fluid that is contained in a thin two-dimensional tube, and that it is moving with a velocity profile that only depends on the transversal coordinate of the tube. The governing equations are…

数学物理 · 物理学 2010-08-24 Patrick Joly , Ricardo Weder

Phase velocities and attenuation in snow can not be explained by the widely used elastic or viscoelastic models for acoustic wave propagation. Instead, Biot's model of wave propagation in porous materials should be used. However, the…

地球物理 · 物理学 2015-10-28 Rolf Sidler

Making use of the poroelastic theory for hydrated polymeric matrices, the ultrasound (US) propagation in a gel medium filled by spherical cells is studied . The model describes the connection between the poroelastic structure of living…

软凝聚态物质 · 物理学 2012-10-10 Piero Chiarelli , Bruna Vinci , Antonio Lanatá , Clara Lagomarsini , Simone Chiarelli

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

The equations of motion in a macroscopically inhomogeneous porous medium saturated by a fluid are derived. As a first verification of the validity of these equations, a two-layer rigid frame porous system considered as one single porous…

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