Abstract

Based on Poisson’s relation, a generalized equation to realize forward modelling of magnetic anomalies due to arbitrarily magnetized 2D listric fault sources in any component is derived in the space domain. The non-planar fault plane of a listric fault structure is described with a generalized polynomial equation. The estimated coefficients of a prescribed polynomial are used to construct the fault plane analytically. The validity of the presented formula is established against the theoretical anomalies that are realized by an analytic equation over a vertical fault structure. It is demonstrated with a synthetic example that the magnetic anomalies in any component produced by a typical listric fault source always have lesser magnitude when compared to the corresponding anomalous field produced by the same structure with a planar fault plane assumption.

Highlights

• A generalized equation is presented to calculate the magnetic anomalies in any component due to arbitrarily magnetized 2D listric fault sources. An interactive and platform independent software coded in Java is developed based on the methodology.

• Code availability: Requests for code after publication of this article will be considered by the corresponding author

中文翻译：

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正向建模：具有解析定义断层平面的任意磁化二维断层源的磁异常

摘要

基于泊松关系，推导出空间域中任意分量任意磁化二维列表断层源引起的磁异常正演的广义方程。列表式断层结构的非平面断层用广义多项式方程描述。指定多项式的估计系数用于分析构造断层面。提出的公式的有效性是针对由垂直断层结构上的解析方程实现的理论异常建立的。

强调

• 提出了一个广义方程来计算任意磁化二维列表断层源引起的任何组件的磁异常。基于该方法开发了一种用 Java 编码的交互式和平台独立软件。

• 代码可用性：本文发表后的代码请求将由通讯作者考虑