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首页> 外文期刊>Surveys in Geophysics: An International Review Journal of Geophysics and Planetary Sciences >Graphical Representation and Explanation of the Conductivity Tensor of Anisotropic Media
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Graphical Representation and Explanation of the Conductivity Tensor of Anisotropic Media

机译：各向异性介质电导率张量的图形表示和解释

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摘要

Electrical anisotropy is a property of the Earth materials that can be studied through electromagnetic geophysical methods, such as magnetotellurics. It consists of the electrical conductivity changing with the orientation and being mathematically characterized by the conductivity tensor. In order to better understand the conductivity tensor and provide more effective tools for quantitatively analyzing the conductivity tensor of anisotropic structures, three graphical representations for symmetric tensors using ellipsoids, Mohr circles and geometric forms are presented. The ellipsoid representation can be applied to indicate the strength of the anisotropy in different directions. The Mohr circle provides a graphic representation of a tensor as a function of the rotation of the coordinate system. For the geometric forms, one-dimensional (1-D), two-dimensional (2-D) and three-dimensional (3-D) sheet models with given parameters (sizes and resistivities of the constituent prisms), the macroscopic anisotropic conductivity may be calculated using the closed-form mathematical formulas. These three graphical representations have different abilities for revealing information on the conductivity tensor. Four synthetic examples involving uniaxial or biaxial anisotropic conductivity structures are examined in the principal axis coordinate system to investigate the advantages and disadvantages of the graphical displays.
机译：电各向异性是地球材料的性质，可以通过电磁地球物理方法进行研究，例如磁音仪。它包括随着导向和在数学特征的情况下改变的电导率，并且通过电导率张量。为了更好地理解电导率张量并提供更有效的工具，用于定量分析各向异性结构的导电性张量，呈现了使用椭圆体，MoHR圆和几何形式的对称张量的三个图形表示。椭圆体表示可以应用于指示不同方向各向异性的强度。 MoHR圆圈提供张量的图形表示，作为坐标系的旋转的函数。对于几何形式，一维（1-D），二维（2-D）和三维（3-D）片材型号，具有给定参数（组成棱镜的尺寸和电阻），宏观各向异性导电性可以使用闭合形式的数学公式来计算。这三个图形表示具有揭示导电性张量的信息的不同能力。在主轴坐标系中检查涉及单轴或双轴各向异性电导率结构的四种合成实例，以研究图形显示器的优缺点。

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