磁倾子矢量的图示分析及其应用研究

Analysis of tipper visual vectors and its application

对磁倾子矢量的图示方式进行了研究。根据平面上矢量与复数之间的关系 ,在原有Schmuck er感应矢量定义的基础上 ,提出了虚感应矢量及其他图示矢量的新定义 ,并对其旋转特性进行了分析 ;根据感应矢量的旋转不变特性以及其在二维情况下的特点定义了倾子二维近似度 ,该参数可作为定性判别某点电性结构二维性的一种衡量标准。利用二维和三维模型对新提出的倾子图示方式进行了计算 ,并将其应用于海原大震区的实际资料的处理和解释当中 ,主要讨论了感应矢量尤其是虚感应矢量的响应特征。理论计算和实际应用结果表明本文所定义的感应矢量和倾子二维偏离度有着较为明确的物理意义 。

The visual methods of magnetic tipper are investigated in this article. A new definition of imaginary induction vector and other visual vectors of magnetic tipper are presented in terms of the relation between vector and complex number; and their rotational property is discussed. On the basis of the invariance of induction vectors under the coordinate rotation and some characteristics of two-dimensions, we defined a parameter so called tipper 2d-approximator(C) which can be used as the criteria to evaluate how close it is to the 2d-model. Using three 2d-models and a 3d-model, we carry out the calculations by applying the new visual method of tipper vector; and apply the method to processing and interpreting the data taken from the great-earthquake region of Haiyuan. By the aforementioned works, the response characteristics of the induction vectors, especially of the imaginary induction vector are manifested. The results of the theoretical modeling and of the practical application show that the induction vectors and tipper 2d-approximator(C) defined in this article do have explicit physical meanings.