Fractal models for predicting soil hydraulic properties: a review

D Giménez, E Perfect, WJ Rawls, Y Pachepsky - Engineering Geology, 1997 - Elsevier
Modern hydrological models require information on hydraulic conductivity and soil-water
retention characteristics. The high cost and large spatial variability of measurements makes …

Multifaceted nature of hydrogeologic scaling and its interpretation

SP Neuman, V Di Federico - Reviews of Geophysics, 2003 - Wiley Online Library
Geology is ubiquitously heterogeneous, exhibiting both discrete and continuous spatial
variations on a multiplicity of scales. It is therefore natural to expect that hydrogeologic and …

Continuous medium model for fractal media

VE Tarasov - Physics Letters A, 2005 - Elsevier
We consider the description of the fractal media that uses the fractional integrals. We derive
the fractional generalizations of the equation that defines the medium mass. We prove that …

A new method for calculating fractal dimensions of porous media based on pore size distribution

Y Xia, J Cai, WEI Wei, X Hu, XIN Wang, X Ge - Fractals, 2018 - World Scientific
Fractal theory has been widely used in petrophysical properties of porous rocks over several
decades and determination of fractal dimensions is always the focus of researches and …

多孔介质输运性质的分形分析研究进展

郁伯铭 - 力学进展, 2003 - lxjz.cstam.org.cn
首先对多孔介质输运性质的传统实验测量, 解析分析和数值模拟计算研究进展作了扼要的评述.
然后, 着重综述采用分形理论和方法研究多孔介质输运性质分析解的理论, 方法和所取得的进展 …

Fractal analysis of permeabilities for porous media

B Yu, W Liu - AIChE journal, 2004 - Wiley Online Library
A 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 …

Fractal analysis of invasion depth of extraneous fluids in porous media

J Cai, B Yu, M Zou, M Mei - Chemical Engineering Science, 2010 - Elsevier
Applications of the fractal theory to analyze transport properties of porous media in science
and engineering have received steady attention in the past two decades. However, the …

[PDF][PDF] 孔隙结构与含油岩石电阻率性质理论模拟研究

毛志强, 高楚桥 - 2000 - cpedm.com
随着油气勘探的不断发展, 各种复杂储集层逐步成为了勘探目的层, 如砾岩层,
致密层和裂缝性储集层等. 由于受岩性, 物性及孔隙结构多变因素的影响, 这些储集层往往表现出 …

A fractal model of power-law fluid through charged fibrous porous media by using the fractional-derivative theory

B Xiao, Y Li, G Long - Fractals, 2022 - World Scientific
The study characterizes power-law fluid through charged fibrous porous media with spatial
fractional-derivative and fractal geometry. Seepage flow of power-law fluid across fractal …

A modified model for spontaneous imbibition of wetting phase into fractal porous media

Y Shi, MR Yassin, H Dehghanpour - Colloids and Surfaces A …, 2018 - Elsevier
Fractal theory has been applied to characterize complex pore structure of sedimentary rocks
and to model fluid flow through porous media. In recent years, several analytical models …