起伏地形下复电阻率法25维反演研究
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本文为国家“深部探测技术与实验研究专项(SinoProbe)”第3项目“深部矿产资源立体探测技术及实验研究”第05课题(SinoProbe 03 05)资助的成果。


Research on 2.5D SIP Inversion with Topography
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    摘要:

    复电阻率法以岩、矿石的频谱参数特性为勘探依据,多种参数的组合解释能为评价异常源的性质提供更为丰富的信息。但其反演问题一直没有得到较好地解决,已经严重地影响和制约了该方法的应用和发展。本文由频率域电磁场的偏微分方程出发,结合Cole Cole数学模型进行公式推导,并利用有限单元法实现了复电阻率25维正演模拟,能够计算起伏地形条件下包含电磁效应的复电阻率响应。在此基础上,提出了利用多个排列的视电阻率和视相位数据的复电阻率反演方法,并在反演方程中加入了Occam法的光滑模型约束,能够对复电阻率参数直接进行大规模的全区反演,有效减弱了SIP反演中欠定性严重的问题。通过理论模型的反演算例表明,该方法能够快速、准确地反演出二维地质断面上所有单元的4种复电阻率参数,从而验证了该反演算法的正确性与稳定性。

    Abstract:

    Complex resistivity method is based on the characteristics of spectral parameters of rocks and ores, and the multiple spectral parameters provide more information for evaluating anomalous bodies. However, the inverse problem of SIP has not been resolved well, so that it has restricted the application and development of SIP. Therefore, we derive the formula for the 2.5D SIP responses, which starting from maxwell’s equations combined with the Cole Cole model, then we complete the forward modeling with finite element method. The forward method can simulate SIP response contains the electromagnetic effects with topography. On this basis, we propose a combined inversion method by using multi arrangement of apparent resistivity and apparent phase of SIP date, and the smooth model constraint of Occam method is used to improve the stability of inversion. The algorithm can perform large scale inversion, to deal with largely underdetermined inversion problem. The numerical test show that this method can be used to inverse all SIP parameters of geological model with synthetic data (noiseless data or noise data), which indicates the inversion algorithm is feasible.

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范翠松,李桐林,王大勇,赵广茂,李建平.2014.起伏地形下复电阻率法25维反演研究[J].地质学报,88(4):755-762.
.2014. Research on 2.5D SIP Inversion with Topography[J]. Acta Geologica Sinica,88(4):755-762.

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  • 收稿日期:2014-02-25
  • 最后修改日期:2014-03-16
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  • 在线发布日期: 2014-04-30
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