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| Study on seepage characteristics of rock fractures considering fracture surface roughness and opening fractal dimension |
| ZHAO Mingkai1,2,KONG Desen1,2 |
| (1. College of Civil Engineering and Architecture,Shandong University of Science and Technology,Qingdao,Shandong 266590,China;2. Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation,Shandong University
of Science and Technology,Qingdao,Shandong 266590,China)
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Abstract The characterization of the roughness of rock fractures and their seepage has been a difficult and hot issue in the field of rock mechanics and engineering geology. Based on the basic principles of fractal theory and hydrodynamics,the irregular roughness elements on the fracture surface were first quantified,and the quantitative relationship between the relative roughness and the fractal dimension as well as the fracture microstructure parameters was established. Then,the effect of the roughness on seepage was transformed into the effect of the equivalent opening of fractures on flow characteristics. Combining the power-law relationship between the fracture opening and the fracture length,a fractal model for calculating the permeability of rough fractures was established. Finally,the effects of fractal dimension and geometric characteristics of fractures on seepage properties were studied,and the rationality of the model was verified using relevant experimental data. The results show that the influence of the fracture roughness on seepage cannot be ignored. There is a square relationship between the permeability and the maximum fracture opening,and the fracture opening and geometric characteristics of rough elements are the key factors affecting seepage performance. The proposed permeability model does not contain any empirical constants,which avoids the tedious process of data processing and has better applicability.
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