Some fractal characters of porous media
WebAuthor: José A. Ferreira Publisher: Springer Science & Business Media ISBN: 1461450551 Category : Mathematics Languages : en Pages : 215 Download Book. Book Description This volume presents a selection of survey and research articles based on invited lectures and contributed talks presented at the Workshop on Fluid Dynamics in Porous Media that was … WebFeb 1, 2012 · 1. Introduction. For porous metal materials, the shape and distribution of pore are similar in the microstructure to pores' in sandstone on earth and the pore-structure usually exhibits fractal character [1].Pore-structure is one of important factors to affect the properties of porous metal materials, but it is very difficult to describe the pore-structure …
Some fractal characters of porous media
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WebYU, B., & LI, J. (2001). SOME FRACTAL CHARACTERS OF POROUS MEDIA. Fractals, 09(03), 365–372. doi:10.1142/s0218348x01000804 WebIn mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.Many fractals appear similar at various scales, as illustrated in successive magnifications of the Mandelbrot set. This exhibition of similar patterns at increasingly …
WebAn effective thermal conductivity model for fractal porous media with rough surfaces. Advances in Geo-Energy Research, 2024, 3(2 ... B., Li, J. Some fractal characters of porous media. Fractals, 2001, 9(3): 365-372. Zeng, J., Liu, J., Li, W., et al. Evolution of shale permeability under the influence of gas diffusion from the fracture wall ... WebFractal Characters of Porous Media and Flow Analysis Abstract. Porosity is a complex multivariate function which controls fluid flow through porous media. The variables...
WebWe consider the fractal media as special ("fractional'') continuous media. We discuss the possible experimental testing of the continuous medium model for fractal media that is … WebGiven Eq. ( 4.19 ), which relates the fractal dimensionality of the pore space to the porosity, and their assumed values r m / r 0 ≈10 4, their fractal dimensionality range from 2.57 to 2.87 would imply porosities between 95 % to 73 %, rather than the values between 5 % to 27 % that they calculated and measured.
WebApr 1, 2013 · The fractal theory is a very effective tool to study the porous structure. Since the fractal theory was introduced, it has been widely applied to many fields of modern science, such as primary phase morphology [4], surface or fracture morphology [5,6], metal alloy matrix composites [7], permeability of porous media [8,9], crack detection [10 ...
WebA fractal analysis of permeabilities for porous media, both saturated and unsaturated, is presented based on the fractal nature of pores in the media. Both the fractal-phase permeability and the fractal relative permeability are derived and found to be a function of the tortuosity fractal dimension, pore-area fractal dimension, phase fractal dimension, … ctp passwordWebSome fractal characters of porous media. Fractals, 2001, 9(3): 365-372 123 Majumdar A, Bhushan B. Role of fractal geometry in roughness characterization and contact mechanics of surfaces. ct powerschoolWebFeb 1, 2009 · In this study, we summarized some basic characters of fractal porous media, including the fractal pore or particle size distribution, pore or particle density function, the fractal dimensions for the pore and solid phases, and their relations. The geometric porosities vs. the fractal dimensions and microstructures of porous media were reviewed … earth spirit leather shoesWebAbstractThe flow in porous media has received a great deal of attention due to its importance and many unresolved problems in science and engineering such as … ctpphotoWeb1 day ago · The deviation of the exponent from that predicted by Porod’s law indicates the fractal character of the porous glass with the surface fractal dimension d s =2.5 in the range of scales from 1.5 to 80 nm . The fractality obtained correlates with the results of Ref. where the fractal dimension d s = 2.4 was found for the Vycor porous glass. earth spirit ladies shoes ukWebThis model can be used to analyze the effective stress effects on pore size of porous media and fractal dimension of the pore structure distribution. 1. According to the fractal model … ct power washing \\u0026 roof cleaningWebJun 1, 2009 · 1.. IntroductionFractal porous media have been studied extensively for more than two decades since Mandelbrot’s pioneer work [1].Katz and Thompson [2] used scanning electron microscopy and optical data to show that the pore spaces of several sandstones are fractal geometries. Fractured rocks [3] and fragmented porous media [4] … earth spirit massage table