Estimating the hydraulic conductivity of two-dimensional fracture networks using effective medium theory and power-law averaging

2021 ◽  
Vol 29 (21) ◽  
pp. 33434
Author(s):  
Zhiwei Sun ◽  
Chao Liu ◽  
Ruolei Xu ◽  
Heling Gong ◽  
Xiaobo Xuan ◽  
...  

2013 ◽  
Vol 306 ◽  
pp. 9-16 ◽  
Author(s):  
Hao Zhang ◽  
Yongqiang Shen ◽  
Yuchen Xu ◽  
Heyuan Zhu ◽  
Ming Lei ◽  
...  

2015 ◽  
Vol 17 (7) ◽  
pp. 075102 ◽  
Author(s):  
Ioannis Chremmos ◽  
Efthymios Kallos ◽  
Melpomeni Giamalaki ◽  
Vassilios Yannopapas ◽  
Emmanuel Paspalakis

1990 ◽  
Vol 207 ◽  
Author(s):  
Wei Jin ◽  
S. D. Mahanti ◽  
M. F. Thorpe

AbstractRandomly intercalated layered alloys are excellent models for two-dimensional microporous systems. We have studied the nonlinear gallery expansion and the gallery height fluctuations by constructing a double layer model that describes the layer rigidity and the size and stiffness of the intercalant species. Exact solutions, simulations and an effective-medium theory (EMT) results are compared. Applications of the results to ternary intercalation compounds are discussed.


1982 ◽  
Vol 119 ◽  
pp. 219-247 ◽  
Author(s):  
Joel Koplik

We discuss creeping incompressible fluid flow in two-dimensional networks consisting of regular lattice arrays of variable-sized channels and junctions. The intended application is to low-Reynolds-number flow in models of porous media. The flow problem is reduced to an analogue linear-network problem and is solved by numerical matrix inversion. It is found that ‘effective-medium theory’ provides an excellent approximation to flow in such networks. Various qualitative features of such flows are discussed, and an elegant general form for the absolute permeability is derived. The latter, and the effective-medium approximation, are equally applicable to three-dimensional networks.


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