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物探与化探  2020, Vol. 44 Issue (6): 1399-1407    DOI: 10.11720/wtyht.2020.0013
  方法研究·信息处理·仪器研制 本期目录 | 过刊浏览 | 高级检索 |
DEM网格间距对重力远区地改精度的影响及效果
李忠平1,2(), 戴广凯3, 张茂辉4
1.中国地质大学(武汉) 地球物理与空间信息学院,湖北 武汉430074
2.中国冶金地质总局 山东正元地质勘查院,山东 济南 250014
3.山东省地质调查院,山东 济南 250013
4.中国海洋大学 工程学院,山东 青岛 266100
The impact and effect of DEM grid spacing on the accuracy of gravity remote topographic correction
LI Zhong-Ping1,2(), DAI Guang-Kai3, ZHANG Mao-Hui4
1. School of Geophysics and space information, China University of Geosciences(Wuhan),Wuhan 430074,China
2. Zhengyuan Geology & Exploration Institute of Shandong,Bureau of China Metallurgy and Geology,Jinan 250014,China
3. Shandong Institute of Geological Survey, Jinan 250013, China
4. School of Geophysics and Space Information, China University of GeosciencesOcean University of China, Qingdao 266100, China
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摘要 

1∶5万重力远区地改一般由测区的1∶5万DEM高程模型改正获得。1∶5万DEM可按不同网格间距拼接而成,不同网格间距对应了不同的地改精度;RGIS是由自带高程库参与计算,完成测区1∶5万重力远区地改。本文以山东省栖霞市臧家庄幅1∶5万重力远Ⅰ区(2~20 km)地改为例,通过采用25、50、100、200 m四种网格节点距进行了1∶5万DEM数据拼接和改进的双线性插值法重力远Ⅰ区地改、均方误差计算,并与RGIS自带高程库重力远Ⅰ区地改均方误差比较分析,证实基于1∶5万DEM高程模型重力远Ⅰ区地改精度优于RGIS自带高程库重力远Ⅰ区地改精度。基于DEM改进的双线性插值法远区地改布格重力异常和高程相关度更高,对线性构造和地层、岩体的边界的识别精度高。

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关键词 重力远区地形改正DEM网格间距地形改正精度改进的双线性插值    
Abstract

The 1∶50 000 gravity far area terrain correction is generally obtained from the 1∶50 000 DEM elevation model correction in the survey area. 1∶50 000 DEM can be spliced according to different grid spacings, which correspond to different terrain correction accuracies; RGIS is calculated by its own elevation database, and the topographic correction of 1∶50 000 gravity far area in the survey area is completed. The authors chose the 1∶50 000 gravity remote area I (2~20 km) land reform of Zangjiazhuang area in Qixia City, Shandong Province, as an example. Through the use of 25, 50, 100, 200 m four grid node spacings for 1∶50 000 DEM data splicing and the use of the improved bilinear interpolation method, the authors calculated the terrain correction and mean square error in the far area I of gravity. Compared with the terrain correction mean square error of gravity far area I of RGIS own elevation reservoir, it is confirmed that the terrain correction accuracy of gravity far-Ⅰ area based on 1∶50 000 DEM elevation model is better than that of gravity far-Ⅰ area with RGIS.

Key wordsterrain correction in the far area of gravity    DEM grid spacing    terrain correction accuracy    improved bilinear interpolation
收稿日期: 2020-01-15      出版日期: 2020-12-29
ZTFLH:  P631  
基金资助:中国地质调查局地质矿产调查专项(FZK2016-4-166)
作者简介: 李忠平(1965-),男,硕士,高级工程师,从事矿产物探生产研究工作。Email:xjywt@163.com
引用本文:   
李忠平, 戴广凯, 张茂辉. DEM网格间距对重力远区地改精度的影响及效果[J]. 物探与化探, 2020, 44(6): 1399-1407.
LI Zhong-Ping, DAI Guang-Kai, ZHANG Mao-Hui. The impact and effect of DEM grid spacing on the accuracy of gravity remote topographic correction. Geophysical and Geochemical Exploration, 2020, 44(6): 1399-1407.
链接本文:  
http://www.wutanyuhuatan.com/CN/10.11720/wtyht.2020.0013      或      http://www.wutanyuhuatan.com/CN/Y2020/V44/I6/1399
Fig.1  双线性插值法图示
Fig.2  改进的双线性插值法图示
Fig.3  山东烟台地区区域布格重力异常平面
节点 x坐标/m y坐标/m
g(xi,yi)=-11.15 302130 4136486
g(xi,yi+1)=-11.58 302130 4137983
g(xi+1,yi)=-8.03 305036 4136486
g(xi+1,yi+1)=-9.03 305036 4137983
双线性插值法地改后布格重力异常值 -9.55×10-5m·s-2
改进的双线性插值法地改后布格重力异常值 -10.69×10-5m·s-2
Table 1  改进的双线性插值法试验计算对比
节点距 重力远Ⅰ区地改时间 重力远Ⅰ区地改均方误差
25 m×25 m 1.52 h 0.000 360
50 m×50 m 15 min 0.000 360
100 m×100 m 6 min 0.000 385
200 m×200 m 4 min 0.000 408
Table 2  不同网格间距重力远Ⅰ区地改精度统计
Fig.4  研究区地形
Fig.5  研究区构造及矿点分布
1—推测断裂; 2—压扭性断裂; 3—张性断裂; 4—韧性断层; 5—构造破碎带; 6—金矿脉; 7—钻孔
Fig.6  基于RGIS自带高程库中远区地改后布格重力异常
Fig.7  基于DEM改进的双线性插值中远区地改后布格重力异常
Fig.8  基于RGIS自带高程库布格重力异常和高程相关系数分布
Fig.9  基于DEM改进的双线性插值布格重力异常和高程相关系数分布
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[1] 张俊, 张宝松, 邸兵叶, 殷启春. 高程数据网格间距对重力中区地形改正精度的影响[J]. 物探与化探, 2014, 38(1): 157-161.
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