中南大学学报（自然科学版）2018，Vol.49Issue(2)：431-438,8.DOI:10.11817/j.issn.1672-7207.2018.02.023
采空区复杂顶板的三维分形特性及曲面模拟
Three dimensional fractal characteristics of complex roof of gob and its surface modelling
摘要
Abstract
Taking gob detection of Shirengou iron mine as the engineering background, based on the fractal theory, the fractal characteristics of the complex roof of gob were quantitatively studied, and the corresponding fractal dimension values were obtained. According to the characteristics of self-similarity of the roof of gob, the parameter equation and iterated function system were applied to the simulation and analysis of the roof. On the basis of the finite known points of the field, the surface of the gob roof was simulated and reconstructed. The results show that the roof of the gob has obvious fractal characteristics. The three-dimensional fractal dimension of the roof reflects the complexity of the boundary line, the exposed area and the degree of fluctuation in the vertical direction, which quantitatively represents the nonlinear degree of the roof. The final precision of the simulation is closely related to the parameters ofci, The smaller theci, the greater the simulation accuracy, and the closer the simulation surface is to the actual situation. The fractal characteristics of the gob reflect the nonlinear characteristics of the gob boundary in essence.关键词
采空区/复杂顶板/分形理论/分形插值/曲面模拟Key words
gob/complex roof/fractal theory/fractal interpolation/surface modeling分类
矿业与冶金引用本文复制引用
付建新,宋卫东,谭玉叶..采空区复杂顶板的三维分形特性及曲面模拟[J].中南大学学报（自然科学版）,2018,49(2):431-438,8.基金项目
国家自然科学基金资助项目(51274023) （51274023）
中央高校基本科研业务费专项资金资助项目(FRF-TD-17-025A2) (Project(51274023) supported by the National Natural Science Foundation of China （FRF-TD-17-025A2）
Project(FRF-TD-17-025A2) supported by the Fundamental Research Funds for the Central Universities) （FRF-TD-17-025A2）
