基于最小二乘正则化的高密度电法在小港煤矿71502工作面底板中的应用  

Application of high density electrical method based on least square regularization in floor of working face 71502 of Xiaogang coal mine

作　　者：翟培合 张同德 任科科 高卫富[2] 徐西滨 张钊 ZHAI Peihe;ZHANG Tongde;REN Keke;GAO Weifu;XU Xibin;ZHANG Zhao(College of Earth Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong 266590, China;College of Resources, Shandong University of Science and Technology, Taian, Shandong 271000, China)

机构地区：[1]山东科技大学地球科学与工程学院,山东青岛266590 [2]山东科技大学资源学院,山东泰安271000

出　　处：《中国科技论文》2022年第1期15-20,共6页China Sciencepaper

基　　金：国家自然科学基金资助项目(41807283);山东省自然科学基金资助项目(ZR2020KE023)。

摘　　要：为了提高高密度电法煤矿底板探水的准确性,消除反演过程中的多解性问题,基于现场勘探数据构建了光滑约束最小二乘法耦合正则化约束的反演模型。首先,通过建立光滑矩阵消除相邻网格的电阻率差异,采用正则化反演迭代对模型进行泛化处理并获得最优模型参数。然后,以山东小港煤矿71502工作面为例,将高密度电法勘探成果代入模型进行反演。结果表明:光滑约束最小二乘法反演模型易受深度影响,即随深度的增加,异常体边缘化严重;而光滑约束最小二乘法耦合正则化约束的反演模型则与深度无关,即随深度改变,模型始终保持高识别度。通过瞬变电磁勘探成果验证,基于光滑约束最小二乘法耦合正则化约束的反演模型识别结果与瞬变电磁法识别结果基本一致,即71502工作面异常区域主要位于切眼及工作面的右侧。探测成果可为现场技术人员制定防止底板突水的有效措施提供重要依据。In order to improve the accuracy of high-density electrical method in coal mine floor water exploration and eliminate the problem of multiple solutions in the inversion process,based on the field exploration data,an inversion model of smooth constrained least square method coupled with regularization constraint was constructed.A smooth matrix was established to eliminate the resistivity difference between adjacent grids,and the regularized inversion iteration was used to generalize the model to obtain the optimal model parameters.Taking 71502 working face of Xiaogang coal mine as an example,the high-density electrical exploration results were substituted into the model for inversion.The results show that the inversion model of smooth constrained least square method is easily affected by depth with the increase of depth,the edge of abnormal body is serious.While the inversion model of smooth constrained least square method coupled with regularization constraint is independent of depth with the change of depth,and the model always remains high recognition.Through the verification of transient electromagnetic exploration results,the identification results of inversion model based on smooth constrained least square method coupled with regularization constraint are basically consistent with the identification results of transient electromagnetic method,and the abnormal area of working face 71502 is mainly located in the right side of the cutting and working face.The detection results provide an important basis for field technicians to formulate effective measures to prevent floor water inrush.

关 键 词：高密度电法 最小二乘正则化 光滑约束 数值模拟 反演成像 

分 类 号：P319.12[天文地球—固体地球物理学]