位场数据处理中的最小曲率扩边和补空方法研究  

The research to the extending edge and interpolation based on the minimum curvature method in potential field data processing

作　　者：王万银[1] 邱之云[1] 刘金兰[1] 黄翼坚[1] 于长春[2] 李焓 

机构地区：[1]长安大学地质工程与测绘学院,长安大学西部矿产资源与地质工程教育部重点实验室,西安710054 [2]中国国土资源航空物探遥感中心,北京100083 [3]中国石油东方地球物理公司物探方法研究所,乌鲁木齐830016

出　　处：《地球物理学进展》2009年第4期1327-1338,共12页Progress in Geophysics

基　　金：十五国家科技攻关计划专题(2001BA609A-5-3)资助

摘　　要：在频率域中进行位场数据的各种处理和转换时必须对网格数据进行扩边或补空处理,而扩边和补空结果的精度直接影响到位场数据处理和转换结果的精度.本文提出了一种精度较高的位场数据扩边和补空方法——最小曲率方法,给出了该方法的迭代格式,讨论了相关的技术措施.理论模型的补空试验表明,最小曲率方法补空结果的精度高于余弦方法7倍以上;而扩边和补空结果对位场数据处理和转换结果精度的影响试验表明,最小曲率方法比余弦方法平均提高2倍以上,甚至可以达到一个数量级.将最小曲率方法应用到实际资料的扩边和补空计算表明,最小曲率方法明显优于余弦方法.上述研究表明最小曲率扩边和补空方法效果好、精度高,可用于任何连续且光滑的数据的扩边和补空计算.The potential field data are often processed with extending edge and interpolation method before processing and transformation in frequency domain, which directly affect the accuracy of processing and transformation. In this paper, we put forward a higher accuracy extending edge and interpolation method based on the minimum curvature, develop the differential iterative calculation format of the minimum curvature method, and discuss the related techniques. The theoretical model interpolation results show that the accuracy of minimum curvature is 7 times higher than that of cosine method, and the results of the processing and transformation of theoretical model data show that the precision of extending edge and interpolation based on the minimum curvature method is 2 times higher than that of cosine method,even more than an order of magnitude. The research to the actual data shows that the minimum curvature method has significantly better effective than the cosine method. The research to the actual data shows that the minimum curvature method has significantly better effective than the cosine method. The above research shows that the extending edge and interpolation methods based on the minimum curvature method has better effect and higher precision, and is suitable to any continuous and smooth data.

关 键 词：最小曲率方法 扩边 补空 余弦方法 位场 

分 类 号：P631[天文地球—地质矿产勘探]