A discussion on fractal models for transport physics of porous media

P Xu - Fractals, 2015 - World Scientific
Fractal model provides an alternative and useful means for studying the transport
phenomenon in porous media and analyzing the macroscopic transport properties of porous …

[HTML][HTML] Recent developments on relationships between the equivalent permeability and fractal dimension of two-dimensional rock fracture networks

R Liu, L Yu, Y Jiang, Y Wang, B Li - Journal of Natural Gas Science and …, 2017 - Elsevier
Over the last 30 years, discrete fracture network (DFN) modeling has been increasingly
utilized in various practical applications in geoengineering and geosciences. The geometric …

[HTML][HTML] Experimental determination and fractal modeling of the effective thermal conductivity of autoclaved aerated concrete: Effects of moisture content

HQ Jin, XL Yao, LW Fan, X Xu, ZT Yu - … journal of heat and mass transfer, 2016 - Elsevier
Autoclaved aerated concrete (AAC) has widely been utilized as a lightweight, porous
insulation material for energy-efficient buildings. The knowledge on the thermal conductivity …

Thermal conductivity in porous media: Percolation‐based effective‐medium approximation

B Ghanbarian, H Daigle - Water Resources Research, 2016 - Wiley Online Library
Abstract Knowledge of porosity and saturation‐dependent thermal conductivities is
necessary to investigate heat and water transfer in natural porous media such as rocks and …

Sierpiński structure and electronic topology in Bi thin films on InSb (111) B surfaces

C Liu, Y Zhou, G Wang, Y Yin, C Li, H Huang, D Guan… - Physical Review Letters, 2021 - APS
Deposition of Bi on InSb (111) B reveals a striking Sierpiński-triangle (ST)-like structure in Bi
thin films. Such a fractal geometric topology is further shown to turn off the intrinsic electronic …

[HTML][HTML] Fractal analysis of permeability of dual-porosity media embedded with random fractures

T Miao, S Yang, Z Long, B Yu - International Journal of Heat and Mass …, 2015 - Elsevier
Dual-porosity media embedded with random fractures widely exist in water and oil
reservoirs, soils etc. The permeability of such media has been one of focuses in the area of …

[HTML][HTML] Multiscale image-based fractal characteristic of shale pore structure with implication to accurate prediction of gas permeability

W Song, D Wang, J Yao, Y Li, H Sun, Y Yang, L Zhang - Fuel, 2019 - Elsevier
The heterogeneities of shale are manifested in the complex pore spatial configurations and
the wide distribution of pore sizes. The recent advances of high-resolution imaging …

[HTML][HTML] Developing a novel form of thermal conductivity of nanofluids with Brownian motion effect by means of fractal geometry

B Xiao, Y Yang, L Chen - Powder Technology, 2013 - Elsevier
Considering the effect of Brownian motion of nanoparticles, an analytical model for effective
thermal conductivity of nanofluids is obtained. The formula of calculating effective thermal …

[HTML][HTML] A fractal model of effective thermal conductivity for porous media with various liquid saturation

X Qin, J Cai, P Xu, S Dai, Q Gan - International Journal of Heat and Mass …, 2019 - Elsevier
Thermal conduction in porous media has received wide attention in science and
engineering in the past decades. Previous models of the effective thermal conductivity of …

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 …