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

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.