Citation: | Yun-xia ZHOU, Yong-zhang ZHOU, Shu-yun XIE, Dai-yong CAO, Xiang-rong QIU. A Grey Fuzzy Comprehensive Model for Evaluation of Geological Structure Complexity. Journal of Earth Science, 2008, 19(4): 436-440. |
Several structure sets (faults and folds) are characterized by their self-similarity properties. Herein, we discuss the degrees of complexity of fractures by introducing the box-counting fractal dimension of faults as a key criterion to be used in comprehensive fuzzy analysis model for evaluation of the complexity of structures. Totally, eight criteria including density, intensity, length of faults, types and box-counting fractal dimension of faults, the intersection angle between faults and coal beds, gradient coefficients, dip angles of the coal beds, and variation coefficients of dip angles of the coal seams, were used for the evaluation purpose. The grey fuzzy comprehensive assessment model was used to rank the relative importance of these criteria. Scores indicating the complexity of structure were calculated on the base of criteria values and their weights for each sub-area of the study area in the Pansan (潘三) coal mine district in the southern Anhui (安徽) Province, China. The result on the calculated complexity of structure is useful for mining planning in the study area.
Barton, C. C., Larsen, E., 1985. Fractal Geometry of Two-Dimensional Fracture Networks at Yucca Mountain, Southwestern Nevada. In: Stephannsoned, A., ed., Proceeding of the International Symposium on Fundamentals of Rock Joints. Bjorkklliden, C Sweden. 77-84. |
Cao, D. Y., Zhou, Y. X., Wei, Y. C., 2002. Development of the Quantitative Evaluation Information System of Mining Geology Structure. Journal of China Coal Society, 27(4): 379-382 (in Chinese with English Abstract). |
Darcel, C., Bour, O., Davy, P., 2003. Stereological Analysis of Fractal Fracture Networks. Journal of Geophysical Research, 108(B9), 2451, doi: 10.1029/2002JB002091. |
Ding, S. J., 2004. Fractal Analysis on Fault System in Central and Western Hainan Gold Metallogenic Province. Earth Science Frontiers, 11(1): 189-194 (in Chinese with English Abstract). |
Hirata, T., 1989. Fractal Dimension of Fault Systems in Japan: Fractal Structure in Rock Fracture Geometry at Various Scales. Pure and Applied Geophysics (Pa Geoph), 131(1-2): 157-170. doi: 10.1007/BF00874485 |
Ioannis, K. K., Asimakopoulos, M., Doutsos, T. T., 1999. Fractal Characteristics of Active Normal Faults: An Example of the Eastern Gulf of Corinth, Greece. Tectonophysics, 308: 263-274. doi: 10.1016/S0040-1951(99)00087-6 |
Liu, G. P., 1998. The Application of Gray Fuzzy Comprehensive Evaluation in Geology. China Mathematical Geosciences, 9: 45-51 (in Chinese). |
Mandelbrot, B. B., 1967. How Long is the Coast of Britian? Statistical Self-Similarity and Fractional Dimension. Science, 156: 636-638. doi: 10.1126/science.156.3775.636 |
Mandelbrot, B. B., 1983. The Fractal Geometry of Nature. W. H. Freeman and Company, New York. 468. |
Xia, Y. C., 2001. Research on Automated Statistical Method of Quantitative Assessment and Assessment Indexes. Coal Geology & Exploration, 29(1): 25-28 (in Chinese with English Abstract). |
Xie, H., Zhou, H. W., 2008. Application of Fractal Theory to Top-Coal Caving. Chaos, Solitons and Fractals, 36: 797-807. doi: 10.1016/j.chaos.2006.07.024 |
Xie, Y. S., Tan, K. X., 2002. Fractal Research on Fracture Structures and Application in Geology. Earth and Environment, 30(1): 70-77 (in Chinese with English Abstract). |
Xu, Z. B., Xie, H. P., Wang, J. Y., 1996. Fractal Dimension: The Synthetical Index of Valuing the Complicated Degree of Mine Fracture. Journal of China University of Mining & Technology, 25(3): 11-15 (in Chinese with English Abstract). |
Zhang, J. F., Deng, B. R., 1991. Application Fuzzy Mathematics. Geological Publishing House, Beijing (in Chinese). |
Zhou, Y. X., Cao, D. Y., 2001. Quantitative Evaluation Model of Mine Geological Structure. Coal Geology & Exploration, 29(2): 16-18 (in Chinese with English Abstract). |