An extraction optimization algorithm design for IP parameters in CSAMT

Wendong Xu, Guohua Lv
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Abstract

The Cole-Cole model is introduced in layered media of CSAMT to describe induced polarization effect. The Cagniard apparent resistivity amplitude is used to construct the objective function so as to extract IP parameters from CSAMT data. The calculation method of apparent resistivity containing IP effect is given. Then designed extraction algorithm for IP information based least square. In order to solve the objective function value fluctuation wildly and the impact caused by the size difference of model parameters, the general sense objective function is optimized. The detailed calculation process of partial derivative is given. Derived the method of model parameters changing. Finally the effectiveness of the algorithm is verified by experimental testing. The algorithm is useful to extract IP parameters from over two-dimensional medium and other electrical sounding data.
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CSAMT中IP参数提取优化算法设计
在层状CSAMT介质中引入了Cole-Cole模型来描述诱导极化效应。利用Cagniard视电阻率幅值构造目标函数,从CSAMT数据中提取电侵参数。给出了含激电效应视电阻率的计算方法。然后设计了基于最小二乘的IP信息提取算法。为解决目标函数值波动剧烈和模型参数大小差异带来的影响,对广义目标函数进行了优化。给出了偏导数的详细计算过程。推导了模型参数变化的方法。最后通过实验验证了算法的有效性。该算法可用于二维介质及其他电测深数据的激电参数提取。
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