Fracture network can be commonly found or produced in many natural or damageable porous media, such as reservoirs, brittle materials and soil. Thus, fracture network and fractured porous media as well as their transport properties have received great attentions in many fields. Fractures are usually extended in length and aperture to form complex fracture network under some external conditions. The complexity of fracture network can be well quantitatively characterized by fractal geometry through fractal dimension and other parameters.
Based on the improved box-counting technique, we measured the dynamic characterization of fracture network extension in porous media under drying process, and further respectively related fractal dimensions of fracture network to drying time, average aperture, moisture content and fracture porosity. It is found that the fractal dimension increases exponentially with drying time and average aperture, and decreases with moisture content in the form of power law. The transport capacity of fracture network is also related to the fractal dimension with drying time in the form of exponential function.
- M. Sahimi: Flow and transport in porous media and fractured rock: From classical methods to modern approaches. 2 edn. Weinheim,Germany: Wiley-VCH Verlag GmbH & Co. KGaA; 2011.
- K. Vafai: Handbook of porous media. Crc Press; 2015.
- T. Miao, S. Yang, Z. Long and B. Yu, Fractal analysis of permeability of dual-porosity media embedded with random fractures, Int. J. Heat Mass Transfer, 88 (2015) 814-821.
- B. Li, R. Liu and Y. Jiang, A multiple fractal model for estimating permeability of dual-porosity media, Journal of Hydrology, 540 (2016) 659-669.
- J. Liu, et al, Flow consistency between non-darcy flow in fracture network and nonlinear diffusion in matrix to gas production rate in fractured shale gas reservoirs, Transp. Porous Media, 111 (2016) 97-121.
- B. Noetinger, et al, Random walk methods for modeling hydrodynamic transport in porous and fractured media from pore to reservoir scale, Transp. Porous Media, 115 (2016) 345-385.
- J.-R. De Dreuzy, P. Davy and O. Bour, Hydraulic properties of two-dimensional random fracture networks following a power law length distribution 1. Effective connectivity, Water Resour. Res., 37 (2001) 2065-2078.
- A. Jafari and T. Babadagli, Estimation of equivalent fracture network permeability using fractal and statistical network properties, J. Pet. Sci. Eng., 92-93 (2012) 110-123.
- C. T. O. Leung and R. W. Zimmerman, Estimating the hydraulic conductivity of two-dimensional fracture networks using network geometric properties, Transp. Porous Media, 93 (2012) 777-797.
- P. Xu, C. Li, S. Qiu and A. P. Sasmito, A fractal netowk model for fractured porous media, Fractals, 24 (2016) 1650018.
- C. Doughty and K. Karasaki, Flow and transport in hierarchically fractured rock, J. Hydrol., 263 (2002) 1-22.
- Y. Zhao, Z. Feng, Z. Lv, D. Zhao and W. Liang, Percolation laws of a fractal fracture-pore double medium, Fractals, 24 (2016) 1650053.
- E. Bonnet, et al, Scaling of fracture systems in geological media, Rev. Geophys., 39 (2001) 347-383.
- A. Roy, E. Perfect, W. M. Dunne and L. D. McKay, Fractal characterization of fracture networks: An improved box-counting technique, J. Geophys. Res., 112 (2007) B12201.
- P. G. Okubo and K. Aki, Fractal geometry in the san andreas fault system, J. Geophys. Res., 92 (1987) 345-355.
- T. Hirata, Fractal dimension of fault systems in japan: Fractal structure in rock fracture geometry at various scales, Pure Appl. Geophys., 131 (1989) 157-170.
- M. Vignes-Adler, A. Le Page and P. M. Adler, Fractal analysis of fracturing in two african regions, from satellite imagery to ground scale, Tectonophysics, 196 (1991) 69-86.
- N. Matsumoto, K. Yomogida and S. Honda, Fractal analysis of fault systems in japan and the philippines, Geophys. Res. Lett. , 19 (1992) 357-360.
- A. Jafari and T. Babadagli, Effective fracture network permeability of geothermal reservoirs, Geothermics, 40 (2011) 25-38.
- W. Wang, L. Kong, M. Zang and C. Zhang, Experimental research on crack extension and indoor rainfall infiltration of nanyang expansive soil, J. Southwest Pet. Univ., 37 (2015) 174-184.
- B. M. Yu and J. H. Li, Some fractal characters of porous media, Fractals, 9 (2001) 365-372.
- J. Cai, W. Wei, X. Hu, R. Liu, J Wang, Fractal characterization of dynamic fracture network extension in porous media, Fractals 25 (2017) 1750023
|Acceptance of Terms and Conditions||Click here to agree|