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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.
In order to improve the effect of resistivity 3D inversion, a method of constructing roughness matrix in 3D inversion function with smooth constraint is proposed and the expression of weighted smoothing factor is proposed. It is pointed out that weighted smoothing factor is closely related to meshing. The conjugate gradient algorithm is used to simulate the established geoelectric model by three-dimensional inversion, and the effect of grid subdivision in horizontal and vertical directions on the inversion effect is analyzed. The results show that the smoothing factor is the best choice for meshing, and the surface data and the horizontal XOY plane should be equally divided. The vertical (Z) Grid split, but the split ratio should not exceed 4 times the horizontal direction. According to the simulation results, it is applied to the grouting test of resistivity method and has achieved good results.