起伏地形三维激电连续介质模型快速反演

为提高起伏地形三维激电数据的反演解释精度和处理效率，笔者开展了连续介质模型快速反演方法研究。针对起伏地形连续电性介质模型，提出了四面体单元电性参数分块线性连续变化的参数化方法。在反演中对模型参数施加光滑和背景约束信息，以提高反演的稳定性和分辨率。通过采用降低反问题的维数、压缩存储线性反演方程各矩阵的元素以及将互换原理和拟牛顿法相结合的方式计算偏导数矩阵等手段，可有效地加快反演的计算速度。最后，为验证反演方法的有效性，对2例地电模型进行反演试算，计算结果表明：反演耗费时间较少，仅迭代6次拟合差便趋于稳定，反演结果能较好地刻画异常体形态，编制的反演解释软件可用于实际生产。

Efficient Inversion of 3D IP Data for Continuous Model with Complex Geometry

The study of efficient inversion method was carried out for continuous formation, targeting at improving the inversion precision and efficiency of 3-dimensional (3D) induced polarization (IP) data with waved geometry. Blocky continuously varied parameterization based on tetrahedral element was developed for the continuous changed resistivity model with fluctuated geometry. The stability and resolution of inversion was improved by including model smoothness and background prior information. The inversion efficiency was achieved via decreasing the dimension of inverse problem, memory compression of the matrix of linear equations, and calculation of sensitivity matrix with a combination of reciprocal theory and quasi-Newton method. Finally, the effectiveness of the inversion method was tested by two examples. The numerical results show that the inversion converges within 6 iterations and takes very little computational time. The inversion result can give a good interpretation of the anomalous targets. The inversion software developed can be used to interpret the real data.