Wave propagation in a general anisotropic poroelastic medium with anisotropic permeability: phase velocity and attenuation

Sharma, M. D.

doi:10.1016/j.ijsolstr.2004.02.066

Cited by 32 publications

(36 citation statements)

References 15 publications

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“…In the present paper, the summation from 1 to 3 over repeated lowercase, and of 1 to 6 in uppercase, for ASP-MS-MP-MC structures under electro-magneto-thermal-force (EMTF) coupled fields, may be expressed using extended differential governing equations, formulated as [21][22][23][24][25][26][27][28] …”

Section: Basic Equationmentioning

confidence: 99%

Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure

et al. 2012

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Based on the hybrid hypersingular integral equation-lattice Boltzmann methods (HHIE-LBM), the porosity and permeability evolution and evaluation process in anisotropic saturated porosity multiscale-multiphase-multicomponent (ASP-MS-MP-MC) structures under ultra high temperature and pressure conditions was analyzed on parallel CPU and GPU platforms. First, virtual physical models at multi-spatial scales (2 µm, 5 µm and 10 µm) were restructured by computerized microtomography technology and data. Second, using HHIE-LBM methods, the anisotropic porosity and permeability tensor at core level and pore level under ultra high temperature and pressure conditions were calculated. Third, the evolution and evaluation process of the porosity and permeability as a function of multi temporal spatial scales was investigated. Finally, the relationship between porosity and permeability and ASP-MS-MP-MC structures (micro-meso-macro-scale) was explored.porosity and permeability tensor, anisotropic saturated porosity multiscale-multiphase-multicomponent structures, hypersingular integral equation method, lattice Boltzmann method, ultra temperature and pressure, parallel CPU and GPU Citation: Zhu B J, Cheng H H, Qiao Y C, et al. Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure. Chin Sci Bull, 2012Bull, , 57: 320327, doi: 10.1007 In the past 10 years, with developments in geophysics, seismology, mechanics and materials, the anisotropic saturated porosity multiscale-multiphase-multicomponent (ASP-MS-MP-MC) structures have attracted the attention of researchers for its wide application in these interdisciplinary fields. However, many micro-meso-macro mechanisms have not yet been clearly evaluated, especially with regard to their structural physical characteristics. To investigate the porous physical character and structure problem, Berger [1] explored fabric tensors of anisotropic porous solids using boundary elements and the Green's function method. Roberts and Garboczi [2] studied elastic properties of porous ceramics using a finite element method, and established the relationship between pore shape and structure. Almqvist et al. [3,4] used measured seismic velocities to analyze the elastic properties of anisotropic synthetic aggregates, containing mixtures of calcite and muscovite, under uniaxial loads ranging from 20 MPa up to 400 MPa. Zhang [5,6] presented the physical mechanism of fully and partially saturated geomaterials, and obtained significant results for the complex coupled fluid-solid system. Wei [7] provided the governing equation of static and dynamic behavior of multiphase porous media. Diabiraa et al.[8] discussed the porosity and permeability evolution accompanying hot fluid injection into the diatomite problem. Mark [9] explored permeability in fibrous porous mediausing the

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Section: Basic Equationmentioning

confidence: 99%

Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure

et al. 2012

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“…Thomson and Willis, [6], discussed the formulation of these equations within the context of rock mechanics with a focus on measurable parameters characterizing the behaviour and illustrated various aspects of the modelling for a transversely isotropic case. Cowin [7], worked out a tensor matrix formalism for anisotropic poroelasticity and Sharma, [8,9], studied the propagation of waves in a generally anisotropic medium. An excellent reference covering the various aspects of anisotropy of importance for a full modelling of a real material, be it soil, biological tissue or acoustic, is the recent revised edition of the book authored by Carcione, [10].…”

Section: Related Workmentioning

confidence: 99%

“…measurements on real porous materials in the same manner as for a solid elastic material. Using Hooke's tensor at zero acoustic pressure, Equation (14), the constitutive equation, (8), for the solid frame, may thus be written as…”

Section: Hooke's Tensormentioning

confidence: 99%

Weak, anisotropic symmetric formulations of Biot's equations for vibro‐acoustic modelling of porous elastic materials

Hörlin

Göransson

2010

Numerical Meth Engineering

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SUMMARYIn this paper a fully anisotropic symmetric weak formulation of Biot's equations for vibro-acoustic modelling of porous elastic materials in the frequency domain is proposed. Starting from Biot's equations in their anisotropic form, a mixed displacement-pressure formulation is discussed in terms of Cartesian tensors. The anisotropic equation parameters appearing in the differential equations are derived from material parameters which are possible to determine through experimental testing or micro-structural simulations of the fluid and the porous skeleton. Solutions are obtained by applying the finite element method to the proposed weak form and the results are verified against a weak displacement-based formulation for a foam and plate combination.

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“…Recently, Sharma [9] used Biot's theory [1] to study the propagation of attenuating waves in a general anisotropic porous solid with anisotropic permeability controlling the flow of viscous fluid in its pores. In the study, the attenuation was explained by homogeneous waves only.…”

Section: Introductionmentioning

confidence: 99%

Propagation of plane waves in poroviscoelastic anisotropic media

Vashishth

Sharma

2008

Appl. Math. Mech.-Engl. Ed.

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This study discusses wave propagation in perhaps the most general model of a poroelastic medium. The medium is considered as a viscoelastic, anisotropic and porous solid frame such that its pores of anisotropic permeability are filled with a viscous fluid. The anisotropy considered is of general type, and the attenuating waves in the medium are treated as the inhomogeneous waves. The complex slowness vector is resolved to define the phase velocity, homogeneous attenuation, inhomogeneous attenuation, and angle of attenuation for each of the four attenuating waves in the medium. A non-dimensional parameter measures the deviation of an inhomogeneous wave from its homogeneous version. An numerical model of a North-Sea sandstone is used to analyze the effects of the propagation direction, inhomogeneity parameter, frequency regime, anisotropy symmetry, anelasticity of the frame, and viscosity of the pore-fluid on the propagation characteristics of waves in such a medium.

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Wave propagation in a general anisotropic poroelastic medium with anisotropic permeability: phase velocity and attenuation

Cited by 32 publications

References 15 publications

Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure

Porosity and permeability evolution and evaluation in anisotropic porosity multiscale-multiphase-multicomponent structure

Weak, anisotropic symmetric formulations of Biot's equations for vibro‐acoustic modelling of porous elastic materials

Propagation of plane waves in poroviscoelastic anisotropic media

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