Electromagnetic field expressions in the wavenumber domain from both the horizontal and vertical electric dipoles

Electromagnetic field expressions in the wavenumber domain from both the horizontal and vertical electric dipoles
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水平和垂直电偶极子在波数域中的电磁场表达式

DOI:
10.1088/1742-2132/13/4/505
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发表时间:
2016-06
影响因子:
1.4
通讯作者:
Li, Gang
Li, Gang
中科院分区:
地球科学4区
文献类型:
--
作者:
Li, Yuguo;Li, Gang

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在本文中,我们提出了波数域(WD)电磁场的表达式在任何深度的层状导电性地球由于水平和垂直电偶极子,它可以被埋在任何地方的层状地球。在模拟具有3D源的2D电导率结构的受控源电磁(CSEM)响应时,非常常见的是将电磁场分离成初级场和次级场以避免源奇异性。这种二次场方案要求分层导电结构在任何深度处的WD背景场。为了获得WD中的一次电磁场,可以在空间域(SD)中计算准解析一次场,然后将其转换为WD。然而,这种SD方法不是一种非常有效的计算方法。利用Schelkunoff势,我们导出了WD方法中电磁场的准解析表达式。数值试验表明,WD方法可以得到与SD方法相同精度的结果,而且WD方法比SD方法快得多。
In this paper, we present wavenumber domain (WD) electromagnetic field expressions at any depth in a layered conductivity earth due to both the horizontal and vertical electric dipoles, which can be buried anywhere within the layered earth. In modeling controlled-source electromagnetic (CSEM) responses for a 2D conductivity structure with a 3D source, it is very common to separate electromagnetic fields into a primary field and a secondary field to avoid the source singularity. This secondary field scheme requires WD background fields at any depth for a layered conductivity structure. To obtain primary electromagnetic fields in the WD, one can calculate quasi-analytical primary fields in the space domain (SD) and then transform them into the WD. However, this SD method is not a very efficient method of calculation. With the use of Schelkunoff potentials, we derive the quasi-analytic expressions for the electromagnetic fields in the WD, i.e. the WD method. Numerical tests indicate that the WD method can give results with the same accuracy as the SD method, and furthermore, the WD method is much faster than the SD method.
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