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Discussion on the improvement of the error evaluation method in gravity intermediate area terrain correction based on the measured elevation |
GENG Tao1,2( ), DU Hui1,2, FENG Zhi-Han1,2 |
1. Xi’an Center of Geological Survey of CGS, Xi’an 710054,China 2. Northwest Geological Science and Technology Innovation Center, Xi’an 710054,China |
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Abstract In the current gravity survey work, the accuracy of digital elevation model (DEM) used in terrain correction is basically avoided when evaluating the accuracy of terrain correction in gravity intermediate area. Therefore, the mean square error of terrain correction calculated by this data in gravity intermediate area is not comprehensive. Based on the analysis of DEM data error and the comparison of actual data, this paper puts forward a method to evaluate the accuracy of DEM data used for terrain correction in the intermediate area of gravity by using the measured elevation values of gravity measuring points, and discusses how to evaluate the error of terrain correction in the intermediate area of gravity caused by DEM error, so as to obtain the accuracy of terrain correction in the intermediate area of gravity closer to the real situation.
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Received: 19 February 2021
Published: 21 December 2021
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Schematic diagram of two kinds of errors in gravity terrain correction
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规范名称 | 对中区地改精度评价的要求 | 区域重力调 査规范 | DZ/T 0082-93[21] | 中区地形改正精度的估算采用将地形改正量板旋转22.5°后重新读图计算的方法(注:采用此方法评价地形改正误差不够全面,未包括地形图误差的影响)。 在有条件的地区,可采用大比例尺地形图(比原地形改正所用地形图的比例尺大一级的地形图)进行中区地形改正误差评价;也可利用航片解求出测点周围地形节点(或特征点)高程,室内计算出中区地形改正值的方法进行中区地形改正误差评价。 | DZ/T 0082-2006[22] | 中区地改采用计算机计算时,地改精度的估算可采用圆域人工手算。 在有条件的地区,可采用大比例尺地形图(比原地形改正所用地形图的比例尺大一级的地形图)进行中区地形改正误差评价;也可以利用航片解求出测点周围地形节点(或特征点)高程,室内计算出中区地形改正值的方法进行中区地形改正误差评价。 | 重力调查技术规范 (1∶50 000) | DZ 0004-91[23] | 中区地形改正,当用量板读图法改正时,检查方式可采用旋转量板半个方位或更换更大比例尺地形图的方式进行。 | DZ/T 0004-2015[24] | 中区、远区地形改正的质量检查应使用更大比例尺高程数据或变换高程数据节点位置及其他适合方法进行。 | 大比例尺重 力勘查规范 | DZ/T 0171-1997[25] | 用读图法求取地改值时,可采用变换方位法(转动22°30')或其他方法重新读数,以两次读图地改值之差来计算均方误差。 有条件地区可采用大比例尺地形图(比原地改所用地形图的比例尺大一级的地形图)重新计算地改值,以评价质量;也可利用大一级的航片求解地形节点高程重新计算地改值。 | DZ/T 0171-2017[26] | 地形改正质量检査工作分为同精度检查和高精度检査两种方式,其精度评价采用原始地形改正值与检查地形改正值的均方误差评价。 |
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Standardize requirements for the accuracy of terrain correction in the intermediate area
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比例尺 | 格网尺寸/m | 地貌类型 | 高程中误差/m | 一级 | 二级 | 三级 | 1∶5000 | 2.5 | 平地 | 0.5 | 0.7 | 1.0 | 丘陵地 | 1.2 | 1.7 | 2.5 | 山地 | 2.5 | 3.3 | 5.0 | 高山地 | 4.0 | 6.0 | 8.0 | 1∶10000 | 5 | 平地 | 0.5 | 0.7 | 1.0 | 丘陵地 | 1.2 | 1.7 | 2.5 | 山地 | 2.5 | 3.3 | 5.0 | 高山地 | 5.0 | 6.7 | 10.0 | 1∶25000 | 10 | 平地 | 1.5 | 2.0 | 3.0 | 丘陵地 | 2.5 | 3.5 | 5.0 | 山地 | 4.0 | 5.5 | 8.0 | 高山地 | 7.0 | 9.5 | 14.0 | 1∶50000 | 25 | 平地 | 3 | 4 | 6 | 丘陵地 | 5 | 7 | 10 | 山地 | 8 | 11 | 16 | 高山地 | 14 | 19 | 28 | 1∶100000 | 50 | 平地 | 6 | 8 | 12 | 丘陵地 | 10 | 14 | 20 | 山地 | 16 | 22 | 32 | 高山地 | 28 | 38 | 54 |
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Accuracy requirements of digital elevation model
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Histogram of error distribution between measured elevation and DEM elevation
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Relationship between the distribution of super large errorpoints(white circle) and topography
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Distribution histogram of intermediate area terrain correction error in calculation of DEM elevation and measured elevation
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