On propagation characteristics of Rayleigh wave in saturated porous media based on the strain gradient nonlocal Biot theory

Ding, Haibin; Tong, Lihong; Xu, Changjie; Cao, Zhigang; Wang, R.; Li, Songyan

doi:10.1016/j.compgeo.2021.104522

Cited by 9 publications

(2 citation statements)

References 52 publications

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“…This theory considers the dynamic coupling effect and dissipation mechanism between the fluid and solid phases in the porous media (Biot, 1954). Later, Berryman (1980) verified the theory of Biot by comparing the measured elastic wave velocity in porous structures with the prediction of Biot theory (Johnson, 1980;Berryman, 1999;Ding et al, 2022). According to the measured P-wave velocity and the porosity of saturated sediments, Lee (2002) calculated the Biot coefficient suitable for S-wave velocity.…”

Section: Introductionmentioning

confidence: 90%

Scholte Wave Field and Dispersion Curve in Porous Multi-layered Media Filled with Fluid

Wang

Qian

Tan

et al. 2023

Preprint

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The Scholte wave is a kind of solid surface wave that propagates on the seabed. To study the influences of pore-fluid parameters on the propagation characteristics of Scholte waves, the recursive solution and dispersion equation of Scholte wave is derived for porous multi-layered media filled with fluid based on Biot-Gassmann equation. A direct relationship equation between pore-fluid parameters, Scholte wave velocities and densities of pore fluid media is established. The recursive solution of Scholte wave propagating along the interface of porous multi-layered media filled with fluid is derived by using the boundary conditions of seismic wave field. The influences of pore fluid parameters on Scholte wave field and its dispersion characteristics are studied through numerical analysis. The numerical results show that the oil and gas-bearing pores could affect the dispersion characteristics and displacement stress of Scholte wave. Therefore, the effect of pore fluid should be fully considered for the further seabed Scholte wave rich in porous multi-layered media filled with fluid. In this paper, it provides a theoretical method for solving dispersion equations of Scholte wave propagating in coastal porous multi-layered media filled with fluid.

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Section: Introductionmentioning

confidence: 90%

Scholte Wave Field and Dispersion Curve in Porous Multi-layered Media Filled with Fluid

Wang

Qian

Tan

et al. 2023

Preprint

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“…These theories fall roughly into two categories: highorder gradient theories [2][3][4][5][6] and Eringen's nonlocal theories [7]. Based on these theories, the problems of one-dimensional consolidation of a porous layer [3,8] and wave propagation in porous media [9][10][11] have been examined. Besides, the high-order theories have been also applied to the study of the response of bone tissues (e.g., Giorgio et al [5]).…”

Section: Introductionmentioning

confidence: 99%

Couple-stress–based gradient theory of poroelasticity

Zheng

Sun

et al. 2023

Mathematics and Mechanics of Solids

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In this research, we present a gradient theory of poroelasticity based on the couple-stress. Within the context of finite deformations and in a thermodynamically consistent manner, the constitutive equations for the porous solid are derived by including the solid vorticity gradient and its power-conjugate counterpart, namely, the couple-stress. Subsequently, a linearized theory for an isotropic porous solid is developed in which two microstructure-dependent constitutive moduli (or equivalently, two material length-scale parameters) are introduced. To investigate the gradient effects on the responses of the material, the problem of wave propagation in fluid-saturated porous solids is formulated and solved based on the proposed theory. For comparison, the wave dispersion and attenuation curves are compared with those obtained from classical theory of poroelasticity.

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Effect of flow-independent viscosity on the propagation behavior of Rayleigh wave in partially saturated soil based on the fractional standard linear solid model

Liu

Dai

Zhou

et al. 2022

Computers and Geotechnics

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On propagation characteristics of Rayleigh wave in saturated porous media based on the strain gradient nonlocal Biot theory

Cited by 9 publications

References 52 publications

Scholte Wave Field and Dispersion Curve in Porous Multi-layered Media Filled with Fluid

Scholte Wave Field and Dispersion Curve in Porous Multi-layered Media Filled with Fluid

Couple-stress–based gradient theory of poroelasticity

Effect of flow-independent viscosity on the propagation behavior of Rayleigh wave in partially saturated soil based on the fractional standard linear solid model

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