Journal ArticleDOI
Linear dynamics of double-porosity dual-permeability materials. II. Fluid transport equations.
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In this paper, a scalar transport equation is derived using volume-averaging arguments and the frequency dependence of the transport coefficient is obtained, which allows for fluid flux across each phase individually and is shown to have a symmetric permeability matrix.Abstract:
For the purpose of understanding the acoustic attenuation of double-porosity composites, the key macroscopic equations are those controlling the fluid transport. Two types of fluid transport are present in double-porosity dual-permeability materials: (1) a scalar transport that occurs entirely within each averaging volume and that accounts for the rate at which fluid is exchanged between porous phase 1 and porous phase 2 when there is a difference in the average fluid pressure between the two phases and (2) a vector transport that accounts for fluid flux across an averaging region when there are macroscopic fluid-pressure gradients present. The scalar transport that occurs between the two phases can produce large amounts of wave-induced attenuation. The scalar transport equation is derived using volume-averaging arguments and the frequency dependence of the transport coefficient is obtained. The dual-permeability vector Darcy law that is obtained allows for fluid flux across each phase individually and is shown to have a symmetric permeability matrix. The nature of the cross coupling between the flow in each phase is also discussed.read more
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Journal ArticleDOI
Seismic attenuation due to wave-induced flow
TL;DR: In this article, a unified theoretical framework for three P-wave attenuation mechanisms in sedimentary rocks is given, and the model of squirt flow derived here reduces to proper limits as any of the fluid bulk modulus, crack porosity, and/or frequency is reduced to zero.
Journal ArticleDOI
Seismic wave attenuation and dispersion resulting from wave-induced flow in porous rocks — A review
TL;DR: In this article, the wave-induced flow between mesoscopic inhomogeneities has been identified as a major cause of elastic wave attenuation in heterogeneous porous media, and several models for attenuation and velocity dispersion have been developed with varying degrees of rigor and complexity.
Journal ArticleDOI
Linear dynamics of double-porosity dual-permeability materials. I. Governing equations and acoustic attenuation
TL;DR: The equations governing the linear acoustics of composites with two isotropic porous constituents are derived from first principles using volume-averaging arguments and mesoscopic fluid transport between constituents within each averaging volume provides a distinct attenuation mechanism from the losses associated with the net Darcy flux.
Book ChapterDOI
Relationships between Seismic and Hydrological Properties
TL;DR: Reflection seismology is capable of producing detailed three-dimensional images of the earth's interior at the resolution of a seismic wavelength as discussed by the authors, which can be used to place geometrical constraints on their possible flow models, but must rely on well data to place constraints on the actual values of the hydrological properties.
Journal ArticleDOI
Poroelastic finite difference modeling of seismic attenuation and dispersion due to mesoscopic-scale heterogeneity
Yder J. Masson,Steven R. Pride +1 more
TL;DR: In this article, Biot et al. determined the attenuation and dispersion of computer-generated porous materials that contain arbitrary amounts of mesoscopic-scale heterogeneity in the porous continuum properties using finite difference modeling and the average strain throughout the sample computed, along with the effective complex and frequency-dependent elastic moduli of the sample.
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