Journal ArticleDOI
Permeability and effective porosity of porous media
TLDR
In this article, a lattice-gas cellular automaton method is used to simulate the dependence on porosity of a flow of Newtonian uncompressible fluid in this two-dimensional porous substance.Abstract:
The concept of permeability of porous media is discussed, and a modification of Kozeny's permeability equation to include the effect of effective porosity is introduced. An analytical expression for the specific surface area of a system constructed of randomly placed identical obstacles with unrestricted overlap is derived, and a lattice-gas cellular automaton method is then used to simulate the dependence on porosity of permeability, tortuosity, and effective porosity for a flow of Newtonian uncompressible fluid in this two-dimensional porous substance. The simulated permeabilities can well be explained by the concept of effective porosity, and the exact form of the specific surface area. The critical exponent of the permeability near the percolation threshold is also determined from the simulations.read more
Citations
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BookDOI
Lattice-Gas Cellular Automata and Lattice Boltzmann Models
TL;DR: In this paper, the authors provide an introduction to lattice gas cellular automata (LGCA) and lattice Boltzmann models (LBM) for numerical solution of nonlinear partial differential equations.
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.
Book
Lattice-Gas Cellular Automata and Lattice Boltzmann Models: An Introduction
TL;DR: This book provides an introduction for graduate students and researchers of lattice-gas cellular automata and lattice Boltzmann models for the numerical solution of nonlinear partial differential equations.
Journal ArticleDOI
Developing a new form of permeability and Kozeny-Carman constant for homogeneous porous media by means of fractal geometry
TL;DR: In this article, the authors derived an analytical expression for the permeability in homogeneous porous media based on the fractal characters of porous media and capillary model, which is expressed as a function of fractal dimensions, porosity and maximum pore size.
Journal ArticleDOI
Tortuosity in Porous Media: A Critical Review
TL;DR: The concept of tortuosity is used to characterize the structure of porous media, to estimate their electrical and hydraulic conductivity, and to study the travel time and length for tracer dispersion as mentioned in this paper.
References
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Book
Dynamics of fluids in porous media
TL;DR: In this paper, the Milieux poreux Reference Record was created on 2004-09-07, modified on 2016-08-08 and the reference record was updated in 2016.