Journal ArticleDOI
On the Physical Properties of Apparent Two-Phase Fractal Porous Media
TLDR
In this paper, the fractal dimensions and microstructures of porous media were reviewed and discussed in two and three dimensions, and the specifi c surface areas of fractal porous media in 2D and 3D dimensions were derived.Abstract:
AUo®a®EAÝ : DLA, diff usion-limited aggregation; SSA, specifi c surface area. SO®½ Sa®EA : FUa½Ý In this study, we summarized some basic characters of fractal porous media, including the fractal pore or parƟ cle size distribuƟ on, pore or parƟ cle density funcƟ on, the fractal dimensions for the pore and solid phases, and their relaƟ ons. The geometric porosiƟ es vs. the fractal dimensions and microstructures of porous media were reviewed and discussed in two and three dimensions. The specifi c surface areas of fractal porous media in two and three dimensions were derived and were expressed as a funcƟ on of the fractal dimensions and microstructural parameters. The fl uid velociƟ es in fractal porous media were also derived and found to be a funcƟ on of the fractal dimensions and microstructural parameters of the medium. The parameters presented are the fundamental ones and may have potenƟ al in analysis of transport properƟ es in fractal porous media.read more
Citations
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Journal ArticleDOI
A Discussion of the Effect of Tortuosity on the Capillary Imbibition in Porous Media
TL;DR: Based on the tortuous capillary model and fractal geometry, the effect of tortuosity on the capillary imbibition in wetting porous media is discussed in this article, where the average height growth of wetting liquid in porous media driven by capillary force following the Lucas-Washburn (LW) law is obtained.
Journal ArticleDOI
Fractal Characterization of Spontaneous Co-current Imbibition in Porous Media
TL;DR: In this article, analytical expressions for characterizing a spontaneous co-current imbibition process of wetting fluid into gas-saturated porous media are proposed based on the fractal characters of porous media.
Journal ArticleDOI
An analytical model for spontaneous imbibition in fractal porous media including gravity
TL;DR: Based on the fractal character of porous media, a full analytical model for characterizing spontaneous imbibition of wetting liquid vertically into gas-saturated porous media has been derived including gravity over the entire imbibulation process time frame as discussed by the authors.
Journal ArticleDOI
Advances of thermal conductivity models of nanoscale silica aerogel insulation material
Ya-Ling He,Tao Xie +1 more
TL;DR: In this article, the development of the effective thermal conductivity models for the nanoporous silica aerogel insulation material was summarized, and the procedure of establishing the effective heat transfer model of the aerogels insulation material from nanoscale to macroscale was introduced by taking their previous work as an illustration.
Journal ArticleDOI
Pore morphology and distribution in the Shaly facies of Opalinus Clay (Mont Terri, Switzerland): Insights from representative 2D BIB–SEM investigations on mm to nm scale
TL;DR: In this article, the porosity of Opalinus clay facies was measured using the BIB-SEM method with a power law distribution with an exponent of 2.4.
References
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Book
The Fractal Geometry of Nature
TL;DR: This book is a blend of erudition, popularization, and exposition, and the illustrations include many superb examples of computer graphics that are works of art in their own right.
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.
Book
Principles of heat transfer in porous media
TL;DR: In this article, the authors identify the principles of transport in porous media and compare the available predicted results, based on theoretical treatments of various transport mechanisms, with the existing experimental results, and the theoretical treatment is based on the volume-averaging of the momentum and energy equations with the closure conditions necessary for obtaining solutions.
Book
Fractal Growth Phenomena
Tamás Vicsek,Harvey Gould +1 more
TL;DR: In this paper, B. Mandelbrot introduced fractal geometry fractal measures methods for determining fractal dimensions local growth models diffusion-limited growth growing self-affine surfaces cluster-cluster aggregation (CCA) computer simulations experiments on Laplacian growth new developments.