Journal ArticleDOI
The Statistical Physics of Sedimentary Rock
TLDR
For example, this article pointed out that when faced with a piece of rock, not only do we not know where to begin, but we also may question whether it is even possible to find interesting physics in such a dirty and uncontrolled system.Abstract:
Sedimentary rock makes up much of the Earth's surface and contains two of the most vital fluids for our lives—water and hydrocarbons. Yet physicists have paid little attention to rock, mainly because we are discouraged by its apparent complexity. We are well trained in working with idealized models, but when faced with a piece of rock, not only do we not know where to begin, but we also may question whether it is even possible to find interesting physics in such a “dirty” and uncontrolled system. With further thought, however, we should realize that these are but the usual mental barriers that we have to overcome every time we study something new.read more
Citations
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Kinetic roughening phenomena, stochastic growth, directed polymers and all that. Aspects of multidisciplinary statistical mechanics
TL;DR: Kinetic interfaces form the basis of a fascinating, interdisciplinary branch of statistical mechanics as mentioned in this paper, which can be unified via an intriguing nonlinear stochastic partial differential equation whose consequences and generalizations have mobilized a sizeable community of physicists concerned with a statistical description of kinetically roughened surfaces.
Journal ArticleDOI
Estimating fractal dimension
TL;DR: The purpose of this paper is to survey briefly the kinds of fractals that appear in scientific research, to discuss the application of Fractals to nonlinear dynamical systems, and to review more comprehensively the state of the art in numerical methods for estimating the fractal dimension of a strange attractor.
Journal ArticleDOI
Tracer diffusion coefficients in sedimentary rocks: correlation to porosity and hydraulic conductivity.
Thomas B. Boving,Peter Grathwohl +1 more
TL;DR: The results of the diffusion experiments indicate that there is a close relationship between total porosity and the effective diffusion coefficient of a rock (analogous to Archie's Law), and the tortousity factor can be expressed as a function oftotal porosity.
Journal ArticleDOI
Percolation of phases in a three-dimensional cement paste microstructural model
Dale P. Bentz,Edward J. Garboczi +1 more
TL;DR: In this paper, a 3D digital image-based simulation model of cement hydration is used to study the percolation or connectivity of phases as a function of hydration.
Journal ArticleDOI
Percolation theory and its application to groundwater hydrology
Brian Berkowitz,Isaac Balberg +1 more
TL;DR: The percolation theory of flow phenomena in porous media has undergone enormous development in recent years, primarily in the field of physics as mentioned in this paper and has been applied to hydrological problems.
References
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Journal ArticleDOI
The electrical resistivity log as an aid in determining some reservoir characteristics
TL;DR: The usefulness of the electrical resistivity log in determining reservoir characteristics is governed largely by: (1) the accuracy with which the true resistivity of the formation can be determined; (2) the scope of detailed data concerning the relation of resistivity measurements to formation characteristics; (3) the available information concerning the conductivity of connate or formation waters; and (4) the extent of geologic knowledge regarding probable changes in facies within given horizons, both vertically and laterally, particularly in relation to the resultant effect on the electrical properties of the reservoir as mentioned in this paper.
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Invasion percolation: a new form of percolation theory
TL;DR: In this paper, a new kind of percolation problem is described which differs from ordinary percolations in that it automatically finds the critical points of the system and is called invasion percolating.
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Viscous flows in two dimensions
TL;DR: In this paper, the Saffman-Taylor equations for the displacement of one fluid by another in a two-dimensional geometry (a Hele-Shaw cell) are discussed.
Journal Article
Viscous flows in two dimensions
TL;DR: In this paper, the Saffman-Taylor equations for the displacement of one Ouid by another in a two-dimensional geometry (a Hele-Shaw cell) are discussed.
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New pore-size parameter characterizing transport in porous media.
TL;DR: A well-defined geometrical parameter, $\ensuremath{\Lambda}$, related to dynamically connected pore sizes in composite materials is introduced that is also related to the dc permeability to flow of a viscous fluid.