基于阻尼最小二乘法的瞬变电磁反演算法研究
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摘要
反演问题是根据实际测量的地层电磁场数据定性或者定量解释出地球内部的结构的过程。反演与正演是相互对应的,反演模型不仅能检测正演模型的准确性和可靠性,也能为地质解释提供依据,而反演也是瞬变电磁检测的难点与重点之一。本文详细介绍了瞬变电磁检测的反演原理,采用阻尼最小二乘法优化逼近正演结果的算法进行瞬变电磁反演的计算,并通过软件对实际地层数据进行反演,得到不同电阻率初值的地层反演结果。反演结果表明该方法切实可行,误差较小。
Inversion is process of explanating internal structure of the Earth using actual measurement data of strata electromagnetics in a quantitative or qualitative manner.Inversion and forward are mutual correspond.Inversion model not only can detect the veracity and reliability of forward model,but also can provide the basis for geologic interpretation,Inversion is one of the focal point and difficult point in transient electromagnetic detection.The basic principle of inversion of transient electromagnetic detection is described in detail.Applying the damped least square method approaching Mthe forward result realizes the inversion of transient electromagnetic.And then the inversion for actual stratum data is done by using software; the inversion result of Layers with different resistivity initial value can be obtained.Inversion results show that the method is feasible,and the experimental value has a little error.
Inversion is process of explanating internal structure of the Earth using actual measurement data of strata electromagnetics in a quantitative or qualitative manner.Inversion and forward are mutual correspond.Inversion model not only can detect the veracity and reliability of forward model,but also can provide the basis for geologic interpretation,Inversion is one of the focal point and difficult point in transient electromagnetic detection.The basic principle of inversion of transient electromagnetic detection is described in detail.Applying the damped least square method approaching Mthe forward result realizes the inversion of transient electromagnetic.And then the inversion for actual stratum data is done by using software; the inversion result of Layers with different resistivity initial value can be obtained.Inversion results show that the method is feasible,and the experimental value has a little error.
引文
[1]薛国强,底青云.瞬变电磁法正反演问题研究进展[J].地球物理学进展,2008,23( 4) :1165-1172.
[2]邓晓红,吴广耀.瞬变电磁三维异常特征反演与瞬变场可视化[M].北京:地质出版社,2009.
[3]赖晓玲,郑需要,张先康.三维分块倾斜界面的反演及其应用[J].西北地震学报,1997,19(3):63-68.
[4]阮百尧,葛为中.奇异值分解法与阻尼最小二乘法的对比[J].物探化探计算技术,1997,19(1):47-49.
[5]杨晓春,李小凡,张美根.地震波反演方法研究的某些进展及其数学基础[J].地球物理学进展,2001,16(4):96-109.
[6]范孟豹,黄平捷,叶波,等.脉冲涡流解析模型研究[J].浙江大学学报:工学版,2009(09):1621-1624.
[7]Li X,Xue GQ,Song J P,Guo W B.An opt imize method fortransient electromagnetic field-w ave field[J].Chinese Journal of Geophys ics,2005,48(5):1185-1190.
[8]Li X.Study of T EM3D curved surface ext end imaging method of wave-f ield[J].Xi'an:Xi'an Jiao Tong University,2005.
[9]Nabighian M N.Elect romagnetic met hods in applied geophysics[J].Society of Exploration Geophysics,1988,1.
[2]邓晓红,吴广耀.瞬变电磁三维异常特征反演与瞬变场可视化[M].北京:地质出版社,2009.
[3]赖晓玲,郑需要,张先康.三维分块倾斜界面的反演及其应用[J].西北地震学报,1997,19(3):63-68.
[4]阮百尧,葛为中.奇异值分解法与阻尼最小二乘法的对比[J].物探化探计算技术,1997,19(1):47-49.
[5]杨晓春,李小凡,张美根.地震波反演方法研究的某些进展及其数学基础[J].地球物理学进展,2001,16(4):96-109.
[6]范孟豹,黄平捷,叶波,等.脉冲涡流解析模型研究[J].浙江大学学报:工学版,2009(09):1621-1624.
[7]Li X,Xue GQ,Song J P,Guo W B.An opt imize method fortransient electromagnetic field-w ave field[J].Chinese Journal of Geophys ics,2005,48(5):1185-1190.
[8]Li X.Study of T EM3D curved surface ext end imaging method of wave-f ield[J].Xi'an:Xi'an Jiao Tong University,2005.
[9]Nabighian M N.Elect romagnetic met hods in applied geophysics[J].Society of Exploration Geophysics,1988,1.
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