电阻率三维反演中加权光滑因子的影响及注浆检测应用  

Weighted smooth factor impact on 3D DC resistivity inversion and application in grouting effect detection

作　　者：刘鑫明[1,2] 刘树才[1,2] 姜志海[1,2] 焦险峰[1,2] 杨光[1,2] 

机构地区：[1]中国矿业大学资源与地球科学学院,江苏徐州221116 [2]深部岩土力学与地下工程国家重点实验室,江苏徐州221008

出　　处：《中国矿业大学学报》2013年第1期88-92,共5页Journal of China University of Mining & Technology

基　　金：国家重点基础研究发展计划(973)项目(2007CB209400)

摘　　要：为提高电阻率三维反演效果,提出采用光滑约束构造三维反演函数中粗糙度矩阵的方法并给出了加权光滑因子的表达式,指出加权光滑因子与网格剖分密切相关。利用共轭梯度算法对建立的地电模型进行三维反演数值模拟,分析水平和竖直方向上网格剖分对反演效果的影响。结果表明:光滑因子即网格剖分有相对最佳的选择,对地表数据,水平方向XOY平面应尽量保持等比例剖分;竖直方向XOZ和YOZ平面可以适当增大纵向(Z方向)网格剖分,但剖分比例不宜超过水平方向的4倍。依据模拟结果,应用于电阻率法注浆检测,取得了良好的效果.A smoothness constraint method was used to construct the roughness matrix in 3D inversion function to improve the 3D DC resistivity inversion. The expression of weighted smooth factor was given in detail, showing close relation between weighted smooth factor and the mesh dissection. Using conjugate gradient algorithms was to simulate the 3D DC resistivity inversion of established geoelectric model. The impacts of horizontal and vertical mesh dissection on resistivity inversion were analyzed in this study. The results show that there is an optimum solution in weighted smooth factor （meshed dissection）. For the surface data, it should try to keep equal proportional dissection on the XOY plane, and increase dissection of Z direction on the XOZ plane and YOZ plane but the part of dissection proportion should not be more than four times of horizontal direction. Finally, results of simulation of 3D resistivity inversion were applied to detect the grouting effect, achieving very good effects.

关 键 词：电阻率三维反演 加权光滑因子 网格剖分 注浆 

分 类 号：P319.2[天文地球—固体地球物理学]