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最小曲率位场分离方法研究

DOI: 10.6038/cjg20150329, PP. 1042-1058

Keywords: 单步长迭代,叠加步长迭代,原位迭代格式,非原位迭代格式,收敛性,频率响应

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Abstract:

位场分离是位场数据处理和解释中的重点和难点之一.本文给出了单步长非原位和原位两种最小曲率位场分离差分迭代格式,并利用Fourier频谱分析理论研究了这两种迭代格式的收敛性.通过研究表明,单步长非原位迭代格式不收敛,只有单步长原位迭代格式收敛,但单步长原位迭代格式受迭代方向选择的影响,随着迭代次数的增大其影响逐渐消失.根据单步长非原位迭代格式的频谱特点,提出了叠加步长非原位和原位迭代格式,同样利用Fourier频谱分析理论研究了叠加步长非原位和原位迭代格式的收敛性.通过研究认为,一维叠加步长非原位迭代格式收敛,但二维叠加步长非原位迭代格式不收敛;不论是一维或二维,其原位迭代格式均收敛.进一步的理论研究表明,非原位迭代格式的频率响应是一个实偶函数,而原位迭代格式的频率响应是一个复函数;单步长迭代格式的频率响应具有一定的周期性,而叠加步长迭代格式的频率响应无周期性特征;叠加步长迭代格式比单步长迭代格式的收敛性好.

References

[1]  Briggs I. 1974. Machine contouring using minimum curvature. Geophysics, 39(1):39-48.
[2]  Carlos A M, Silva B C. 1995. Interpolation of potential-field data by equivalent layer and minimum curvature: A comparative analysis. Geophysics, 60(2):399-407.
[3]  Swain C J. 1976. A fortran Ⅳ program for interpolating irregularly spaced data using the difference equations for minimum curvature. Computer & Geoscience, 1:231-240.
[4]  Xiong L. 1999. Comparison of some gridding methods. The Leading Edge, 898-900.
[5]  Michael D O, Richard S S, Marc A V. 2005. Gridding aeromagnetic data using longitudinal and transverse horizontal gradients with the minimum curvature operator. The Leading Edge, 142-145.
[6]  Mickus K L, Aiken C L V, Kennedy W D. 1991. Regional-residual gravity anomaly separation using the minimum-curvature technique. Geophysics, 56(2):279-283.
[7]  Smith W H F, Wessel P. 1990. Gridding with continuous curvature splines in tension. Geophysics, 55(3):293-305.
[8]  Wang W Y, Qiu Z Y. 2011. The research to a stable minimum curvature gridding method in potential field data processing. Progress in Geophys. (in Chinese), 26(6):2003-2010,doi:10.3969/j.issn.1004-2903.
[9]  Wang W Y, Qiu Z Y, Liu J L, et al. 2009. The research to the extending edge and interpolation based on the minimum curvature method in potential field data processing. Progress in Geophys. (in Chinese), 24(4):1327-1338,doi:10.3969/j.issn.1004-2903.
[10]  Zhang Z H, Xu S Z, Yu H L, et al. 2011. Study of extending methods of iteration of downward continuation in potential field. Journal of Zhejiang University (Engineering Science), (in Chinese), 47(5):918-924,doi:10.3785/j.issn.1008-973X.

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