Downward Continuation of Potential Field Data Based on Chebyshev–Padé Approximation Function

doi:10.1007/s00024-017-1680-1

IR > 石油化工学院

	Downward Continuation of Potential Field Data Based on Chebyshev–Padé Approximation Function
	Zhou, Wenna 1; Li, Jiyan2 ; Yuan, Yuan 3
	2018
发表期刊	Pure and Applied Geophysics
ISSN	00334553
卷号	175 期号:1 页码:275-286
摘要	To further improve the stability and accuracy of the downward continuation, we presented a new strategy based on the Chebyshev–Padé approximation in the frequency domain. First, we compared the errors between the function exp(x) and its different approximation functions, including Taylor series, Chebyshev approximation, Padé approximation, and Chebyshev–Padé approximation. Meanwhile, the filter characteristic curves of the different functions in the frequency domain are calculated. It turned out that the Chebyshev–Padé approximation is the most precise function. Similar to the Taylor series expansion, different downward continuation methods were established based on these approximation functions in the frequency domain. We compared the accuracy of these downward continuation methods using model tests with and without noise. The results showed that the downward continuation based on Chebyshev–Padé approximation was insensitive to the noise and can obtain a more precise result. To further compare these methods and prove the superiority of Chebyshev–Padé approximation, the iteration methods of downward continuation were proposed. We can obtain an accurate result within less iterations using Chebyshev–Padé approximation. To further suppress the noise effect, we improved the iteration methods using upward continuation. Once again, the model tests showed that the Chebyshev–Padé approximation is a preferred method to implement downward continuation. Finally, the method was applied on a field gravity data and showed its superiority. It demonstrated that we can use the Chebyshev–Padé approximation to replace the classical Taylor series expansion to implement more precise and stable downward continuation. © 2017, Springer International Publishing AG.
关键词	Chebyshev approximation Frequency domain analysis Taylor series Approximation function Chebyshev Downward continuation Filter characteristics Frequency domains Iteration method Potential field datum Taylor series expansions
DOI	10.1007/s00024-017-1680-1
收录类别	EI ; SCIE
语种	英语
资助项目	Ministry of science and technology[2011YQ12004505]
WOS研究方向	Geochemistry & Geophysics
WOS类目	Geochemistry & Geophysics
WOS记录号	WOS:000419674100017
出版者	Birkhauser Verlag AG
EI入藏号	20180204642069
EI主题词	Iterative methods
EI分类号	921 Mathematics
来源库	Compendex
分类代码	921 Mathematics
引用统计	被引频次：10[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	https://ir.lut.edu.cn/handle/2XXMBERH/114867
专题	石油化工学院
通讯作者	Zhou, Wenna
作者单位	1.Lanzhou Univ, Sch Earth Sci, Key Iaboratory Mineral Resources Western China Ga, Lanzhou 730000, Gansu, Peoples R China; 2.Lanzhou Univ Technol, Coll Petrochem Technol, Lanzhou 730050, Gansu, Peoples R China; 3.State Ocean Adm, Inst Oceanog 2, Key Lab Submarine Geosci, Hangzhou 310012, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Zhou, Wenna,Li, Jiyan,Yuan, Yuan. Downward Continuation of Potential Field Data Based on Chebyshev–Padé Approximation Function[J]. Pure and Applied Geophysics,2018,175(1):275-286.
APA	Zhou, Wenna,Li, Jiyan,&Yuan, Yuan.(2018).Downward Continuation of Potential Field Data Based on Chebyshev–Padé Approximation Function.Pure and Applied Geophysics,175(1),275-286.
MLA	Zhou, Wenna,et al."Downward Continuation of Potential Field Data Based on Chebyshev–Padé Approximation Function".Pure and Applied Geophysics 175.1(2018):275-286.