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逐步逼近曲化平方法研究
引用本文:刘金兰, 王万银, 于长春. 逐步逼近曲化平方法研究[J]. 地球物理学报, 2007, 50(5): 1551-1557,
作者姓名:刘金兰  王万银  于长春
作者单位:1 长安大学地质工程与测绘工程学院,西安 710054; 2 中国国土资源航空物探遥感中心,北京 100083
基金项目:十五国家科技攻关计划专题(2001BA609A-5-3)
摘    要:位场资料的常规处理解释方法是建立在平面数据理论之上的,然而实际的位场数据大多为曲面数据,若把曲面数据当成平面数据进行处理,必然导致很大的误差,因此有必要进行“曲化平”处理. 曲化平目前存在的主要问题是计算精度低、计算量大,因此,研究快速、精度高且适合大数据量处理的曲化平方法具有重要的价值. 本文在已有的泰勒级数曲化平方法基础上提出了逐步逼近技术和平均平面技术,使得曲面位场资料处理的精度得到了很大提高. 最后通过理论模型和实际资料的处理验证了该方法的应用效果.

关 键 词:逐步逼近  曲化平  位场  平均平面
文章编号:0001-5733(2007)05-1551-07
收稿时间:2006-12-31
修稿时间:2006-12-31

Reduction of potential field data to a horizontal plane by a successive approximation procedure
LIU Jin-Lan, WANG Wan-Yin, YU Chang-Chun. Reduction of potential field data to a horizontal plane by a successive approximation procedure[J]. Chinese Journal of Geophysics (in Chinese), 2007, 50(5): 1551-1557,
Authors:LIU Jin-Lan  WANG Wan-Yin  YU Chang-Chun
Affiliation:1 College of Geology Engineering and Geomatics, Chang'an University, Xi'an 710054, China; 2 China Aero Geophysical Survey & Remote Sensing Center for Land and Resources, Beijing 100083, China
Abstract:Most existing techniques for processing potential field data still require data on a horizontal plane.However,almost all the potential field data observed are on an irregular surface.In order to avoid errors we cannot simply take the data observed on an irregular surface and process them as they are on a horizontal plane.A reduction process to a horizontal plane is necessary.At present we need to overcome two technical problems in the current reduction process,low accuracy and high computing cost.It is imperative to develop a method being able to process a large number of data fast and accurately.This paper presents two techniques,Successive Approximation Procedure and selecting Average Plane based on the existing Taylor's Series method.These two techniques have greatly improved the accuracy of the potential field data analyses.The theoretical modeling and data processing procedure employing these two techniques are included in this paper.
Keywords:Successive Approximation Procedure  Reduction of potential field data to a horizontal plane  Potential field  Average-plane
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