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关于瞬变电磁法2.5维正演中的几个问题
引用本文:熊彬.关于瞬变电磁法2.5维正演中的几个问题[J].物探化探计算技术,2006,28(2):124-128.
作者姓名:熊彬
作者单位:中南大学,信息物理工程学院,长沙,410083
基金项目:中国科学院资助项目;浙江省湖州市自然科学基金
摘    要:这里讨论了瞬变电磁法2.5维正演模拟中的两个积分变换:傅里叶逆变换和拉普拉斯逆变换。针对发收距为零的中心回线方式瞬变电磁法,提出了在傅氏域中考察傅氏变换函数随波数的变化规律,进而根据曲线首尾支渐近线来划定波数覆盖的范围,然后同解析解对比,确定出最少个数的傅氏域波数。另外,介绍了只需对较少的拉氏变换变量作纯实数运算的拉普拉斯数值反演计算方法。通过对均匀半空间表面上垂直磁偶极子源形成的瞬变电磁场进行正演模拟,结果表明,关于傅氏域波数的范围划定原则及个数选取方案是合理的、拉氏逆变换算法也是切实可行的。

关 键 词:瞬变电磁法  2.5维正演  傅氏逆变换  拉氏逆变换  波数
文章编号:1001-1749(2006)02-0124-05
收稿时间:05 9 2005 12:00AM
修稿时间:2005年5月9日

SOME PROBLEMS ON 2.5-D TRANSIENT ELECTROMAGNETIC FORWARD
XIONG Bin.SOME PROBLEMS ON 2.5-D TRANSIENT ELECTROMAGNETIC FORWARD[J].Computing Techniques For Geophysical and Geochemical Exploration,2006,28(2):124-128.
Authors:XIONG Bin
Abstract:The author has discussed two integral transforms for 2.5-D transient electromagnetic forward modeling,namely,inverse Fourier transform and inverse Laplace transform.In resistivity modeling,many successful experiences or algorithms on wave-number selection in Fourier domain have been presented.Base on these facts,a principle on how to choose wave-number is proposed with regard to central loop TEM in this paper.Firstly,analyze the law of function value changing with wave-number in Fourier domain.Secondly,set range of wave-number according to asymptote of the curve above.Thirdly,compare the curve with the analytical value to choose the least number of wave-number acceptable.In addition,we also introduced a numerical algorithm of inverse Laplace transform,which only needs a few Laplace variables in pure real domain.Finally,a typical example on transient electromagnetic field by a vertical magnetic dipole over homogenous half-space shows that the scheme on the rang adjustment of wave-number and how to choose number of wave-number is reasonable and numerical inversion algorithm of Laplace transform is acceptable.
Keywords:transient electromagnetic method  2  5-D forward  inverse Fourier transform  inverse Laplace transform  wave number
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