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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

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 transient mechanical waves in linear viscoelastic solids. Dissipation mechanisms are described using the generalized Zener model. No time convolutions are required thanks to the introduction…

经典物理 · 物理学 2015-05-20 Bruno Lombard , Joël Piraux

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

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

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

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

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

An explicit finite-difference scheme is presented for solving the two-dimensional Biot equations of poroelasticity across the full range of frequencies. The key difficulty is to discretize the Johnson-Koplik-Dashen (JKD) model which…

经典物理 · 物理学 2013-12-11 Emilie Blanc , Guillaume Chiavassa , Bruno Lombard

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

The analysis of wave propagation problems in linear damped media must take into account both propagation features and attenuation process. To perform accurate numerical investigations by the finite differences or finite element method, one…

经典物理 · 物理学 2009-01-26 Jean-François Semblat , J. J. Brioist

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

The focus of our work is dispersive, second-order effective model describing the low-frequency wave motion in heterogeneous (e.g.~functionally-graded) media endowed with periodic microstructure. For this class of quasi-periodic medium…

数值分析 · 数学 2020-06-05 Danial P. Shahraki , Bojan B. Guzina

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

Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

数学物理 · 物理学 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

Elastic wave propagation is studied in a heterogeneous 2-D medium consisting of an elastic matrix containing randomly distributed circular elastic inclusions. The aim of this study is to determine the effective wavenumbers when the incident…

经典物理 · 物理学 2016-06-29 Mathieu Chekroun , Loïc Le Marrec , Bruno Lombard , Joël Piraux

The dispersion of solute in porous media shows a non-linear increase in the transition from diffusion to advection dominated dispersion as the flow velocity is raised. In the past, the behavior in this intermediate regime has been explained…

流体动力学 · 物理学 2014-09-23 B. Ph. van Milligen , P. D. Bons

This study focuses on the numerical modeling of wave propagation in fractionally-dissipative media. These viscoelastic models are such that the attenuation is frequency dependent and follows a power law with non-integer exponent. As a…

经典物理 · 物理学 2013-12-18 Abderrahmin Ben Jazia , Bruno Lombard , Cédric Bellis

Natural and engineered media usually involve combinations of solid, fluid and porous layers, and accurate and stable modelling of wave propagation in such complex multilayered media is fundamental to evaluating their properties with…

经典物理 · 物理学 2023-06-13 Ming Huang , Frederic Cegla , Bo Lan
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