Journal ArticleDOI
Connection between formation factor for electrical resistivity and fluid‐solid coupling factor in Biot’s equations for acoustic waves in fluid‐filled porous media
TLDR
In this paper, the porosity and formation factor measurements provided lower limits to coupling coefficients that can be used in the interpretation of acoustic data, and the coupling coefficient was shown to be equal to or greater than porosity times the low-frequency electrical resistivity formation factor, when effects of fluid viscosity are minimal.Abstract:
The coefficient of inertial coupling between fluid and solid for elastic waves in fluid‐filled porous media is shown to be equal to or greater than the porosity times the low‐frequency electrical‐resistivity formation factor, being equal to this product when effects of fluid viscosity are minimal, as they may be for high‐frequency measurements on porous materials of high permeability and porosity. At sufficiently low frequencies, the coupling is due primarily to viscous forces. At intermediate frequencies, viscous forces increase inertial coupling, and inertial forces increase viscous coupling. Thus, porosity and formation factor measurements provide lower limits to coupling coefficients that can be used in the interpretation of acoustic data.read more
Citations
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Journal ArticleDOI
Theory of dynamic permeability and tortuosity in fluid-saturated porous media
TL;DR: In this article, the response of a Newtonian fluid saturating the pore space of a rigid isotropic porous medium, subjected to an infinitesimal oscillatory pressure gradient across the sample, is considered.
MonographDOI
The Rock Physics Handbook
TL;DR: The third edition of the reference book as discussed by the authors has been thoroughly updated while retaining its comprehensive coverage of the fundamental theory, concepts, and laboratory results, and highlights applications in unconventional reservoirs, including water, hydrocarbons, gases, minerals, rocks, ice, magma and methane hydrates.
Journal ArticleDOI
Tortuosity: a guide through the maze
TL;DR: In this paper, the authors defined tortuosity in terms of the underlying flux of material or electrical current with respect to the forces which drive this flow, and showed that the maximum amount of information about pore structure is embedded in transport processes that combine advective and diffusive elements.
Journal ArticleDOI
Time-dependent diffusion coefficient as a probe of geometry
TL;DR: In this paper, the authors describe how the time-dependent diffusion coefficient D(t) of mobile molecules confined in pore or cells carries information about the confining geometry, and the geometrical parameter “tortuosity” α plays an important role in various transport processes in porous media, such as the electrical conductivity.
Journal ArticleDOI
Single‐scattering approximations for coefficients in Biot’s equations of poroelasticity
TL;DR: In this paper, three single-scattering approximations for coefficients in Biot's equations of poroelasticity are considered: the average T-matrix approximation, the coherent potential approximation, and the differential effective medium (DEM).
References
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Journal ArticleDOI
Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range
TL;DR: In this article, a theory for the propagation of stress waves in a porous elastic solid containing compressible viscous fluid is developed for the lower frequency range where the assumption of Poiseuille flow is valid.
Journal ArticleDOI
Elastic properties of unconsolidated porous sand reservoirs
TL;DR: In this paper, the effect of compressive stress and pore fluid properties on elastic properties of unconsolidated sand reservoirs was determined by laboratory velocity and volume measurements on two specimens, one consisting of a very fine-grained sand and glass beads, each with a porosity of approximately 38 percent.
Journal ArticleDOI
On: ``Elastic properties of unconsolidated porous sand reservoirs,'' by S. N. Domenico (GEOPHYSICS, December 1977, p. 1339 1368).
TL;DR: In this paper, Domenico gives a valuable set of data on acoustic velocities in a sand pack and a glass bead pack with various brine saturations and various pressures.