基于数字滤波算法的时域激电场Cole-Cole模型参数最优化计算  

Optimal Calculation of Parameters of Time-domain Induced Field Cole-Cole Model Based on Digital Filtering Algorithm

作　　者：刘瑞泽 孟庆鑫 乔圣扬 LIU Rui-ze;MENG Qing-xin;QIAO Sheng-yang(Hebei GEO University,Shijiazhuang 050031,China)

机构地区：[1]河北地质大学,河北石家庄050031

出　　处：《河北地质大学学报》2022年第1期77-82,共6页Journal of Hebei Geo University

基　　金：自然资源部地球物理电磁探测技术重点实验室基金(KLGEPT201907);国家重点科研项目(2018YFC060305)。

摘　　要：随着近年来物探设备和方法技术的更新,时谱激电成为时间域直流激电法的主要发展方向。时谱特征参数包含着反映极化体时变状态的信息,求解时谱特征参数对寻找地下极化异常体发挥着重要作用。本文以频域柯尔-柯尔模型为基础,基于数字滤波算法,对频域柯尔-柯尔模型进行了频时变换得到时域表达式,利用该时域表达式计算不同时刻和谱特征参数条件的时变电阻率和激电场电位差;然后利用上述时域表达式构造了目标函数,利用梯度法编写了视谱特征参数最优化算法,并进行理论算例试算。结果表明:通过理论算例试算,证明本文编写的视谱特征参数最优化算法是可行的,而且本文编写的该算法具有较好的精确度。With the renewal of geophysical prospecting equipment and methods in recent years,time-spectrum IP has become the main development direction of time-domain DC IP.The time-spectrum characteristic parameters contain information that reflects the time-varying state of the polarized body.Solving the time-spectrum characteristic parameters plays an important role in finding the underground polarization anomaly.In this paper,based on the frequency domain Cole-Cole model,based on the digital filtering algorithm,the frequency-domain Cole-Cole model is transformed to obtain the time domain expression,and the time domain expression is used to calculate the different time and spectral characteristics.The time-varying resistivity of the parameter conditions and the potential difference of the induced electric field;then the objective function is constructed using the above-mentioned timedomain expression,the optimization algorithm of the visual spectrum characteristic parameters is written using the gradient method,and the theoretical calculation example is performed.The results show that:through theoretical calculation examples,it is proved that the optimization algorithm of visual spectrum characteristic parameters written in this paper is feasible,and the algorithm written in this paper has good accuracy.

关 键 词：时间域谱激电法 柯尔-柯尔模型 数字滤波算法 最优化计算 

分 类 号：P631[天文地球—地质矿产勘探]