Computation of Magnetic Anomalies Caused by Two‐Dimensional Structures of Arbitrary Shape: Derivation and Matlab Implementation

Computation of Magnetic Anomalies Caused by Two‐Dimensional Structures of Arbitrary Shape: Derivation and Matlab Implementation
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任意形状二维结构引起的磁异常计算:推导及Matlab实现

DOI:
10.1029/2019gl082767
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发表时间:
2019
影响因子:
5.2
通讯作者:
Wubshet M. Alemie
Wubshet M. Alemie
中科院分区:
地球科学1区
文献类型:
--
作者:
V. Kravchinsky;D. Hnatyshin;B. Lysak;Wubshet M. Alemie

文献摘要

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Talwani和Heirtzler(1964)计算二维不规则形地下结构引起的磁异常的第一个计算算法在地球物理理论中具有特殊的基础性和教育性意义。我们从第一性原理重新推导了该算法,并讨论了以前的推导遗漏。我们得到的解决方案与原始出版物不同。基于我们的新解决方案,我们提供了二维正演磁场模拟软件和相关教程,可从www.ualberta.ca/~vadim/software.htm网站下载。此外,我们还包括剩余磁化强度的计算,这可以用已经发表的表观极地奇观路径找到。
The very first computational and most referred in the literature algorithm of Talwani and Heirtzler (1964) for calculating of the magnetic anomaly caused by two‐dimensional irregular shape subsurface structure has particular fundamental and educational significance in geophysics theory. We re‐derive this algorithm from first principles and discuss previous derivation omissions. Our resulting solution differs from the original publication. Based on our new solution we present the two‐dimensional forward magnetic modeling software and associated tutorials which are available for download from the website www.ualberta.ca/~vadim/software.htm. Additionally, we include the computation of the remnant magnetization which can be found using already published apparent polar wonder paths.