ISSN 1004-4140
CN 11-3017/P
赵展, 强建科, 朱裕振. 二维激电中梯数据磁类比拟合反演研究[J]. CT理论与应用研究, 2021, 30(6): 671-679. DOI: 10.15953/j.1004-4140.2021.30.06.02
引用本文: 赵展, 强建科, 朱裕振. 二维激电中梯数据磁类比拟合反演研究[J]. CT理论与应用研究, 2021, 30(6): 671-679. DOI: 10.15953/j.1004-4140.2021.30.06.02
ZHAO Zhan, QIANG Jianke, ZHU Yuzhen. Study on Magnetic Analogy Fitting Inversion of Two-dimensional IP Data Using Central Gradient Array[J]. CT Theory and Applications, 2021, 30(6): 671-679. DOI: 10.15953/j.1004-4140.2021.30.06.02
Citation: ZHAO Zhan, QIANG Jianke, ZHU Yuzhen. Study on Magnetic Analogy Fitting Inversion of Two-dimensional IP Data Using Central Gradient Array[J]. CT Theory and Applications, 2021, 30(6): 671-679. DOI: 10.15953/j.1004-4140.2021.30.06.02

二维激电中梯数据磁类比拟合反演研究

Study on Magnetic Analogy Fitting Inversion of Two-dimensional IP Data Using Central Gradient Array

  • 摘要: 本文通过柯尔-柯尔模型研究地下不同几何参数的极化椭球体在地表的中梯双频激电响应,从而了解不同产状极化体产生极化率的特征,便于后期交互建模。由理论推导可知,任何具有激发极化特征的地质体在地表产生的激电异常都可近似为一个地下电偶极子的三维空间积分,这个积分形式与磁场正演计算公式一致,这意味着我们可以用解释磁法异常的方法解释激电异常,即磁类比法。只要根据先验信息实时改变模型,使激电正演得到的曲线与实测激电曲线逼近,当拟合差小于均方误差时,我们将最后一次模型近似看作是真实模型,由此获得地下极化体的顶埋深、倾角和几何大小等空间参数。实测数据测试表明,这种磁类比人机交互方法加入矿体的一些已知信息后,其拟合反演结果比自动反演更具合理性。

     

    Abstract: In this paper, the dual-frequency IP response of underground polarized ellipsoids with central gradient array on the surface is studied through Cole-Cole model, so as to learn about the characteristics of polarizability engendered by polarized bodies with different parameters, which is convenient for the construction of interactive modeling later. According to the theoretical derivation, the induced polarization anomaly generated by any geological body with induced polarization characteristics on the surface can be approximated as a three-dimensional spatial integral of an underground electric dipole. This integral form is consistent with the forward calculation formula of the magnetic field, which means that we can interpret the induced polarization anomaly by the same method applied in interpreting the magnetic anomaly; it is called Pseudo-Magnetic Interpretation Method (PMIM). As long as the model changes in real time according to the prior information, which will make the curve obtained by IP forward modeling approximate to the measured IP curve, when the fitting difference is less than the mean square error, we regard the last approximate model as the real model, so as to obtain the spatial parameters such as top buried depth, dip angle and geometric size of the underground polarizer. The test of field data shows that human-computer interaction method which merges with some prior information holds more rationality than automatic inversion.

     

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