煤层厚度控制因素的分形奇异值分解法研究  

A study of fractal singular value decomposition method for controlling factors of coal seam thickness

作　　者：孙雅楠 刘星[2] 赵志根 SUN Ya-Nan;LIU Xing;ZHAO Zhi-Gen(Survey School,Anhui University of Science and Technology,Huainan 232000,China;Earth and Environment School,Anhui University of Science and Technology,Huainan 232000,China)

机构地区：[1]安徽理工大学测绘学院,安徽淮南232000 [2]安徽理工大学地球与环境学院,安徽淮南232000

出　　处：《物探与化探》2019年第6期1341-1349,共9页Geophysical and Geochemical Exploration

基　　金：国家重点研发计划项目“面向井下钻孔机器人施工的瓦斯防治钻孔智能设计技术”(2018YFC0808002);国家自然科学基金面上项目“薄松散层覆盖煤矿采空区高光谱遥感特征研究”(41372368)

摘　　要：煤层的厚度分布是多种地质因素联合控制的结果,不同地区其控煤因素有所不同,以往的研究偏重定性的对比分析,难以准确查明控制因素及其分布。依据煤层厚度空间分布的多重分形特征和广义自相似性原理,将煤层厚度变换到特征空间,进行奇异值分解,根据能量测度和能谱密度所表现出的分形规律,将奇异值分解图用最小二乘法拟合为多段直线,并确定不同的拐点,利用奇异矩阵选取前三段中的奇异值及特征子空间进行重建,将重建后的异常与各个影响煤层厚度的变量相对比,提取各种隐含的控煤地质因素,实现煤层厚度控制因素的定量分析。文中对淮南潘集煤矿(外围)的8号主采煤层进行了实例分析,得到了该地区煤层厚度的主要控制因素是古地形、同沉积构造以及古地理环境中的水动力条件,并与利用对应分析得到的控煤因素进行对比,表明了该方法在定量分析中的有效性。The thickness distribution of coal seams results from the combined control of various geological factors,and the control fac?tors of coal are different in different regions.Previous studies have focused on qualitative comparative analysis,and hence it is very dif?ficult for them to identify accurately the control factors and their distribution.In this study,according to the multi?fractal characteristics and the generalized self?similarity principle of the coal seam thickness spatial distribution,the authors transformed coal seam thickness into feature space and performed singular value decomposition.Based on the fractal law of energy measure and energy spectral density,the authors used the least squares method to fit singular value decomposition figure into multipul lines,determined different inflection points,selected the singular value and the corresponding feature subspace in the first three sections for reconstruction,compared anom?alies after reconstruction with various variables that affect the thickness of coal seams,extracted various implicit geological factors for coal control,and thus realized the quantitative analysis of controlling factors of coal seam thickness.The authors analyzed the No.8 main coal seam in Panji coal mine(peripheral)of Huainan as a study case,detected the fact that the main control factors for the thick?ness of coal seam in this area are ancient terrain,same sedimentary structure and hydrodynamic conditions in ancient geography,and compared the results with the control factors obtained by the corresponding analysis.The results show the effectiveness of this method in quantitative analysis.

关 键 词：控煤因素 定量分析 奇异值分解 空间重建 异常图 

分 类 号：P611[天文地球—矿床学]