The propagation of elastic waves through a layered poroelastic medium

Baird, Gordon E.; Thomas, Paul D.; Sang, Gabriella

doi:10.1121/1.414895

Cited by 7 publications

(2 citation statements)

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“…[3,15,[20][21][22][23], although the previous works were not described by the generalized coordinates ( , ) s W u u . Note that the descriptions of the transfer matrix from ( , ) s t u u formulation are found in Ref.…”

Section: Building a Transfer Matrix Bymentioning

confidence: 98%

A new unified modeling of acoustically-coupled multilayers by (u s,u W) displacement formulation based poroelastic transfer matrix

Lee

2015

J Mech Sci Technol

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This paper is devoted to propose a new unified modeling technique to efficiently present acoustically-coupled multilayers consisting of air, elastic and poroelastic layers. The present work is motivated by a need for more efficient modeling in multilayer design optimization, such as topology optimization. A poroelastic transfer matrix derived from Biot's theory is employed for a unified modeling of multilayers. The existing unified modeling approaches were derived by the field variables of the solid-and fluid-phase displacements. In this work, the solid-phase displacement (u s ) and a compound form (u W ) of the solid-and fluid-phase displacements are used as the generalized coordinates to develop a new unified modeling technique. When the alternative formulation is used, the physics of wave propagation in multilayers can be better explained. Moreover, it also allows the macroscopic material coefficients to be directly controlled for the design optimization applications compared with the existing unified modeling techniques.

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Section: Building a Transfer Matrix Bymentioning

confidence: 98%

A new unified modeling of acoustically-coupled multilayers by (u s,u W) displacement formulation based poroelastic transfer matrix

Lee

2015

J Mech Sci Technol

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“…There are many works devoted to the development and application of analytical/semi-analytical methods for wave propagation analysis in stratified elastic media, see, for instance, Akkuratov & Dmitriev (1984), Brekhovskih (1960), Fatianov & Mikhailenko (1988), Fatianov (1990), Haskell (1953), Karchevsky (2005a,b), Kunetz & D'Erceville (1962), Molotkov (1984Molotkov ( , 2002, Ursin (1983), Thomson (1950). The development of similar methods in the case of stratified porous media (low frequency range, static permeability case) is very important too, see Allard et al (1989), Baird et al (1996), Molotkov (2002) and Carcione (2007).…”

Section: Introductionmentioning

confidence: 99%

Poroelastic Modeling in Stratified Media Across All Frequencies

Oliveira¹,

Azeredo²,

Miranda³

et al. 2018

Braz J Geophys

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ABSTRACT. There is considered a layered heterogeneous poroelastic isotropic medium with physical parameters characterized by piecewise constant functions of the depth only. We derive a mathematical algorithm for calculating reflected/transmitted poroelastic waves across all temporal frequencies. To define the frequency effect we use the dynamic permeability expression proposed by Jonhson, Koplik and Dashen; in the time domain, this coefficient introduces order 1/2 shifted fractional time derivative involving a convolution product. The algorithm proposed is based on the formalism introduced by Ursin. The algorithm is tested numerically in a 1D-case. The numerical experiments confirm the effectiveness of the proposed algorithm in identifying the main wave events in both low frequency and high frequency regimes in the reservoir and laboratory scales.Keywords: stratified porous medium, Biot and Biot-JKD models, Ursin’s Formalism.RESUMO. Neste trabalho, consideramos um meio poroelástico estratificado, isotrópico e heterogêneo com parâmetros físicos caracterizados por funções constantes por partes em relação à profundidade. Nós derivamos um algoritmo matemático para calcular as ondas poroelásticas refletidas/transmitidas em todas as frequências temporais. Para definir o efeito da frequência, usamos a expressão de permeabilidade dinâmica proposta por Jonhson, Koplik e Dashen; no domínio do tempo, este coeficiente introduz a derivada do tempo fracionária de 1/2 de ordem de deslocamento envolvendo um produto de convolução. O algoritmo proposto é baseado no formalismo introduzido por Ursin e foi testado numericamente para o caso 1D. Os experimentos numéricos confirmaram a efetividade do algoritmo na identificação dos principais eventos de onda nos regimes de baixa frequência e alta frequência, nas escalas de reservatório e laboratórial, respectivamente.Palavras-chave: meio poroso estratificado; Modelos de Biot e Biot-JKD; Formalismo de Ursin.

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Lattice Dynamics Models to Predict Transmission Properties of Flexural Waves in One-Dimensional Atom Chains with Defects

Huang

Luo

et al. 2022

Acta Mech. Solida Sin.

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The propagation of elastic waves through a layered poroelastic medium

Cited by 7 publications

References 0 publications

A new unified modeling of acoustically-coupled multilayers by (u s,u W) displacement formulation based poroelastic transfer matrix

A new unified modeling of acoustically-coupled multilayers by (u s,u W) displacement formulation based poroelastic transfer matrix

Poroelastic Modeling in Stratified Media Across All Frequencies

Lattice Dynamics Models to Predict Transmission Properties of Flexural Waves in One-Dimensional Atom Chains with Defects

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