地-井时域激电拟牛顿法反演问题研究  

The research on Quasi-Newton methods for inverse problem of surface-borehole induced polarization measurement data

作　　者：潘和平[1] 孟庆鑫[2] 

机构地区：[1]中国地质大学地球物理与空间信息学院,湖北武汉430074 [2]石家庄经济学院勘查技术与工程学院,河北石家庄050031

出　　处：《电波科学学报》2013年第5期986-993,共8页Chinese Journal of Radio Science

基　　金：国家自然科学基金项目资助(41074086)

摘　　要：基于地-井时域激电三维有限差分正演模拟工作,以井旁目标体方位、埋深等为待反演参数,选择极化规则形体解析式构建反演目标函数和偏导数矩阵;采用变尺度法和共轭梯度法结合正演模拟利用地-井激电方位测量数据对井旁类球状极化体进行反演.结果表明:反演结果和拟合效果较好,反演方法具有一定的可行性和适用性.Base on the surface-borehole induced polarization（IP）forward modeling of 3-D finite difference method, this paper proposes a method for building partial de- rivative matrix with the optimized inversion scheme and choose inversion parame- ters by polarization body theory analytical formula. The scale transformation meth- od and conjugate gradient method are used to solve problems about inversion and by the combination of finite difference forward simulation for surface-borehole IP measurement data. The result shows that we obtained the inversion results and the fitting effect with better precision, and the inversion method has certain valuable feasibility and applicability.

关 键 词：井中激电地-井方式 有限差分法 最优化法反演 拟牛顿法 

分 类 号：P631[天文地球—地质矿产勘探]