Dual-porosity model for simulating the preferential movement of water and solutes in structured porous media

Fractals ◽  
2017 ◽  
Vol 25 (04) ◽  
pp. 1740014 ◽  
Author(s):  
PENG XU ◽  
HAICHENG LIU ◽  
AGUS PULUNG SASMITO ◽  
SHUXIA QIU ◽  
CUIHONG LI

As natural fractures show statistically fractal scaling laws, fractal geometry has been proposed and applied to model the fracture geometry and to study the hydraulic properties of fractured porous media. In this paper, a fractal dual-porosity model is developed to study the single-phase fluid flow through fractured porous media. An analytical expression for effective permeability of fractured porous media is derived, which depends on the fractal dimension and fracture aperture. The effect of fractal dimensions for fracture aperture distribution and tortuosity, the ratio of minimum to maximum fracture apertures and fracture fraction on the effective permeability have been discussed. In addition, a power law relationship between the effective permeability and fracture fraction is proposed to predict the equivalent hydraulic properties of fractured porous media. Compared with empirical formulas for effective permeability, the present fractal dual-porosity model can capture the statistical characteristics of fractures and shed light on the transport mechanism of fractured porous media.


Ground Water ◽  
2017 ◽  
Vol 55 (4) ◽  
pp. 558-564 ◽  
Author(s):  
Seiyed Mossa Hosseini ◽  
Behzad Ataie-Ashtiani

2007 ◽  
Vol 205 (1-2) ◽  
pp. 123-134 ◽  
Author(s):  
Martin H. Larsson ◽  
Kristian Persson ◽  
Barbro Ulén ◽  
Anders Lindsjö ◽  
Nicholas J. Jarvis

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