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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

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

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

Wave motion in two- and three-dimensional periodic lattices of beam members supporting longitudinal and flexural waves is considered. An analytic method for solving the Bloch wave spectrum is developed, characterized by a generalized…

材料科学 · 物理学 2017-03-13 A. A. Kutsenko , A. J. Nagy , X. Su , A. L. Shuvalov , A. N. Norris

We develop a new semi-analytical method for solving multilayer diffusion problems with time-varying external boundary conditions and general internal boundary conditions at the interfaces between adjacent layers. The convergence rate of the…

数值分析 · 数学 2018-04-26 Elliot J. Carr , Nathan G. March

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 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

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 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

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 study three different time integration methods for a dynamic pore network model for immiscible two-phase flow in porous media. Considered are two explicit methods, the forward Euler and midpoint methods, and a new semi-implicit method…

计算物理 · 物理学 2018-07-03 Magnus Aa. Gjennestad , Morten Vassvik , Signe Kjelstrup , Alex Hansen

Mode conversion in the region where the sound and Alfven speeds are equal is a complex process, which has been studied both analytically and numerically, and has been seen in observations. In order to further the understanding of this…

天体物理学 · 物理学 2008-08-04 A. M. Dee McDougall , Alan W. Hood

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

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

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…

Acoustic waves in a slightly compressible fluid saturating porous periodic structure are studied using two complementary approaches: 1) the periodic homogenization (PH) method provides effective model equations for a general dynamic problem…

流体动力学 · 物理学 2021-01-07 Eduard Rohan , Robert Cimrman

The paper is devoted to two-phase flow simulations and investigates the ability of a diffusive interface Cahn-Hilliard Volume-of-Fluid model to capture the dynamics of the air-sea interface at geophysically relevant Reynolds numbers. It…

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
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