Downward Continuation of Potential Field Data Based on Chebyshev-Pade Approximation Function

doi:10.1007/s00024-017-1680-1

CORC > 兰州理工大学 > 兰州理工大学 > 石油化工学院

	Downward Continuation of Potential Field Data Based on Chebyshev-Pade Approximation Function
	Zhou, Wenna 1; Li, Jiyan 2; Yuan, Yuan 3
刊名	PURE AND APPLIED GEOPHYSICS
	2018-01
卷号	175 期号:1 页码:275-286
关键词	Downward continuation potential field data Chebyshev-Pade approximation Taylor series expansion
ISSN号	0033-4553
DOI	10.1007/s00024-017-1680-1
英文摘要	To further improve the stability and accuracy of the downward continuation, we presented a new strategy based on the Chebyshev-Pad, 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, Pad, approximation, and Chebyshev-Pad, approximation. Meanwhile, the filter characteristic curves of the different functions in the frequency domain are calculated. It turned out that the Chebyshev-Pad, 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-Pad, approximation was insensitive to the noise and can obtain a more precise result. To further compare these methods and prove the superiority of Chebyshev-Pad, approximation, the iteration methods of downward continuation were proposed. We can obtain an accurate result within less iterations using Chebyshev-Pad, approximation. To further suppress the noise effect, we improved the iteration methods using upward continuation. Once again, the model tests showed that the Chebyshev-Pad, 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-Pad, approximation to replace the classical Taylor series expansion to implement more precise and stable downward continuation.
WOS研究方向	Geochemistry & Geophysics
语种	英语
出版者	SPRINGER BASEL AG
WOS记录号	WOS:000419674100017
内容类型	期刊论文
源URL	[http://119.78.100.223/handle/2XXMBERH/32939]
专题	石油化工学院
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-Pade 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-Pade Approximation Function.PURE AND APPLIED GEOPHYSICS,175(1),275-286.
MLA	Zhou, Wenna,et al."Downward Continuation of Potential Field Data Based on Chebyshev-Pade Approximation Function".PURE AND APPLIED GEOPHYSICS 175.1(2018):275-286.