极化率各向异性介质中诱导极化的三维建模研究

IF 1.8 3区 地球科学 Q3 GEOCHEMISTRY & GEOPHYSICS Geophysical Prospecting Pub Date : 2024-07-29 DOI:10.1111/1365-2478.13580
Jiaxuan Ling, Wei Deng, Shiwei Wei, Qingrui Chen, Lihua He, Siqin Liu, Mengmeng Li
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引用次数: 0

摘要

为了增强各向异性介质中诱导极化法的三维数值模拟,我们的研究采用了二维傅立叶变换技术。利用该技术将异常电势的三维积分从空间域转换为波数域的一维积分。随后,我们采用建立在二次插值基础上的形状函数积分法,有效地解决了一维积分方程。这种方法大大减少了所需的计算资源和存储空间,同时利用了一维形状函数积分法的高效率和高精度,以及快速傅里叶变换的高效率,优化了诱导极化方法的数值模拟过程。我们利用等效均匀分层模型验证了算法的准确性。此外,通过使用球体模型,我们对计算时间与有限元方法进行了比较,从而证明了所提出算法的高效性。利用 OpenMP 并行算法,我们证实了所提出算法的高度并行性。我们还以棱柱模型为基础,分析了不同电气参数下等效视电阻率和视极化率的差异。我们的结果清楚地表明,极化率的各向异性对观测数据产生了重大影响。因此,极化率各向异性的影响至关重要,在现场探测应用中不容忽视。
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Research on 3D modelling of induced polarization in polarizability anisotropic media

To enhance the 3D numerical simulation of the induced polarization method within anisotropic media, our study employs the 2D Fourier transform technique. This technique is utilized to convert the 3D integral of the abnormal potential from the space domain into a 1D integral in the wave number domain. Subsequently, we apply the shape function integration method, which is founded on quadratic interpolation, to resolve the 1D integral equation effectively. This methodology significantly decreases the necessary computational resources and storage while simultaneously harnessing the high efficiency and accuracy of the 1D shape function integration method, as well as the high efficiency of the fast Fourier transform, optimizing the numerical simulation process of the induced polarization method. We validate the accuracy of our algorithmic approach using an equivalent uniform layered model. Furthermore, by employing the sphere model, we conduct a comparison of computation time with the finite element method, thereby demonstrating high efficiency of the proposed algorithm. Utilizing the OpenMP parallel algorithm, we confirm that the proposed algorithm has a high degree of parallelism. We also analyse the differences in the equivalent apparent resistivity and apparent polarizability for various electrical parameters, using a prismatic model as the basis for our analysis. Our results clearly indicate that the anisotropy of the polarizability exerts substantial influence on the observe data. Consequently, the implications of polarizability anisotropy are deemed critical and not be disregarded in the field detection applications.

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来源期刊
Geophysical Prospecting
Geophysical Prospecting 地学-地球化学与地球物理
CiteScore
4.90
自引率
11.50%
发文量
118
审稿时长
4.5 months
期刊介绍: Geophysical Prospecting publishes the best in primary research on the science of geophysics as it applies to the exploration, evaluation and extraction of earth resources. Drawing heavily on contributions from researchers in the oil and mineral exploration industries, the journal has a very practical slant. Although the journal provides a valuable forum for communication among workers in these fields, it is also ideally suited to researchers in academic geophysics.
期刊最新文献
Issue Information Simultaneous inversion of four physical parameters of hydrate reservoir for high accuracy porosity estimation A mollifier approach to seismic data representation Analytic solutions for effective elastic moduli of isotropic solids containing oblate spheroid pores with critical porosity An efficient pseudoelastic pure P-mode wave equation and the implementation of the free surface boundary condition
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