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Successive regression for determining the optimum terrain correction density in mountainous areas |
GAO Wei-Qiang1( ), SHI Zhao-Yang1, ZHANG Li-Ming1, FENG Xu-Liang2( ) |
1. Shaanxi Mineral Resources and Geological Survey, Xi’an 710068, China 2. School of Earth Sciences and Engineering, Xi’an Shiyou University, Xi’an 710065, China |
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Abstract Bouguer gravity anomaly is constantly correlated with terrain in mountainous areas, which is unserviceable to geological interpretation of gravity data. This phenomenon is mainly caused by inaccurate terrain correction density. We ascertain the terrain correction density in mountainous areas based on regression analysis. We obtain the terrain correction density by analyzing the relationship between the free-air gravity anomaly and the elevation, and modify the density according to the relationship between the calculated Bouguer gravity anomaly in each step and the elevation. Based on this, we adjust the terrain correction density of topographic correction successively until we obtain the optimum terrain correction density and the corresponding Bouguer gravity anomaly. We have adopted the proposed method for the terrain correction of the gravity data in the Jiuzongshan mountain and obtained the optimum terrain correction density after 5 iterations, and thus the Bouguer gravity anomaly was calculated. The results of Jiuzhongshan mountain confirmed the correctness of our proposed method.
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Received: 24 May 2021
Published: 21 December 2021
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Corresponding Authors:
FENG Xu-Liang
E-mail: totti_gao@163.com;fxlchd@163.com
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The topographic map obtained by UAV LiDAR survey in Jiuzong mountain and its adjacent area
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The free-air gravity anomaly in the research area
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The topography in the researched area
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岩性 | 标本块数 | 密度变化范围/(103 kg·m-3) | 平均密度/(103 kg·m-3) | 粉砂岩 | 15 | 2.574~2.815 | 2.676 | 复成分砾岩 | 9 | 2.637~2.783 | 2.704 | 砾岩 | 74 | 2.404~2.812 | 2.734 | 砂砾岩 | 8 | 2.706~2.820 | 2.773 | 杂色含泥砂质砾岩 | 9 | 2.559~2.714 | 2.659 | 杂色砾岩 | 7 | 2.749~2.812 | 2.771 | 紫红色砾岩 | 8 | 2.608~2.772 | 2.700 | 大理岩(嵕山玉) | 6 | 2.635~2.667 | 2.655 | 石英砂岩 | 2 | | 2.775 | 灰色含泥砂质砾岩 | 2 | | 2.457 | 灰色厚层状复成分砾岩 | 3 | | 2.777 | 白云岩 | 2 | | 2.788 | 灰岩 | 2 | | 2.725 | 泥质粉砂岩 | 3 | | 2.648 | 泥质砂质砾岩 | 2 | | 2.631 | 砂质页岩 | 1 | | 2.727 | 唐瓦 | 2 | | 1.792 | 唐砖 | 1 | | 2.214 |
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Statistics on the density of various rocks in the researched area
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The gravity effects caused by terrain calculated using the actual density and the corresponding Bouguer gravity anomaly
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Photos of surface outcrop overlooking (a~e) and long-range (f) at some survey sites in the study area
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Scatter points shown the relationship between free-air gravity anomaly and elevation in the researched area
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The gravity effects caused by terrain calculated using the first regressed density and the corresponding Bouguer gravity anomaly
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Scatter points shown the relationship between free-air gravity anomaly and gravity anomaly caused by terrain in the researched area
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Scatter points shown the relationship between first calculated Bouguer gravity anomaly and elevation in the researched area
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The variation of the density and the correlation coefficient along with the iteration
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The Bouguer gravity anomaly in the research area
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[1] |
彭聪, 闵志. 重力异常与高程关系的统计分析[J]. 物探与化探, 1985, 9(5):347-350.
|
[1] |
Peng C, Min Z. Statistic analysis of relationship between gravity anomaly and elevation[J]. Geophysical and Geochemical Exploration, 1985, 9(5):347-350.
|
[2] |
蔡尚中. 回归分析在区域重力资料处理中的应用[J]. 物化探计算技术, 1986, 8(3):231-236.
|
[2] |
Cai S Z. The application of regression analysis to treating regional gravity data[J]. Computing Techniques for Geophysical and Geochemical Exploration, 1986, 8(3):231-236.
|
[3] |
毛小平, 曲赞, 吴冲龙. 山形重力异常的成因机制及消除方法[J]. 石油地球物理勘探, 1999, 34(1):65-70.
|
[3] |
Mao X P, Qu Z, Wu C L. Cause of mount-shape gravity anomaly and the method to remove it[J]. Oil Geophysical Prospecting, 1999, 34(1):65-70.
|
[4] |
吕梓令, 周国藩. 区域重力测量外部校正的几个问题[J]. 物探与化探, 1981, 5(5):257-262.
|
[4] |
Lyu Z L, Zhou G F. Some problems of external corrections in regional gravity survey[J]. Geophysical and Geochemical Exploration, 1981, 5(5):257-262.
|
[5] |
Thorarinsson F, Magnusson S G. Bouguer density determination by fractal analysis[J]. Geophysics, 1990, 55(7):932-935.
|
[6] |
朱自强, 齐文秀, 黄国祥, 等. 分数维在湘南重力地改及密度校正中的应用[J]. 有色金属矿产与勘查, 1995, 4(2):114-118.
|
[6] |
Zhu Z Q, Qi W X, Huang G X, et al. The application of fractal dimension to gravitional landform correction and density correction[J]. Geological Exploration for Non-ferrous Metals, 1995, 4(2):114-118.
|
[7] |
严良俊, 万鹏, 姚长利. 布格重力异常求取中的变密度校正方法与应用[J]. 工程地球物理学报, 2005, 2(3):177-180.
|
[7] |
Yan L J, Wan P, Yao C L. The study on the correction method of variable density for the medial stratum in gravity prospecting[J]. Chinese Journal of Engineering Geophysics, 2005, 2(3):177-180.
|
[8] |
Nettleton L L, Herring A T. Quantitative analysis of a mud volcano gravity anomaly[J]. Geophysics, 1979, 44(9):1518-1524.
|
[9] |
曾华霖. 重力场与重力勘探[M]. 北京: 地质出版社, 2005.
|
[9] |
Zeng H L. Gravity field and gravity exploration [M]. Beijing: Geological Publishing House, 2005.
|
[10] |
杨辉, 丁海涛, 王宜昌, 等. 山区重力改正中几个问题的讨论[J]. 石油地球物理勘探, 2000, 35(4):479-486.
|
[10] |
Yang H, Ding H T, Wang Y C, et al. Discussion on some problems in gravimetric data correction in hilly area[J]. Oil Geophysical Prospecting, 2000, 35(4):479-486.
|
[11] |
钟华, 张海玲, 刘和花, 等. 估计重力地改最佳地层密度值的面积相关法[J]. 物探与化探, 2013, 37(3):512-516.
|
[11] |
Zhong H, Zhang H L, Liu H H, et al. The area relevant method for estimating optimal stratigraphic density in gravity terrain correction[J]. Geophysical and Geochemical Exploration, 2013, 37(3):512-516.
|
[12] |
邵济卫, 唐大林. 重力测量变密度校正方法的应用效果[J]. 物探与化探, 1983, 7(2):112-119.
|
[12] |
Shao J W, Tang D L. Application effect of variable density correction method in gravity measurement[J]. Geophysical and Geochemical Exploration, 1983, 7(2):112-119.
|
[13] |
袁建国. 逐点滑动式黄土密度补偿校正法及其应用[J]. 石油地球物理勘探, 1996, 31(S1):122-124.
|
[13] |
Yuan J G. Point-by-point sliding loess density compensation correction method and its application[J]. Oil Geophysical Prospecting, 1996, 31(S1):122-124.
|
[14] |
陈超. 解决西藏羌塘地区重力异常与高程相关问题的尝试[J]. 物探与化探, 1998, 22(6):431-435.
|
[14] |
Chen C. The elimination of false anomalies resulting from correlation between Bouguer anomalies and topography in Qiangtang, Tibet[J]. Geophysical and Geochemical Exploration, 1998, 22(6):431-435.
|
[15] |
刘云祥. 重磁弱异常处理研究与应用[J]. 勘探地球物理进展, 2007, 30(6):444-447.
|
[15] |
Liu Y X. Processing and application of weak gravity and magnetic anomaly[J]. Progress in Exploration Geophysics, 2007, 30(6):444-447.
|
[16] |
王万银, 任飞龙, 王云鹏, 等. 重力勘探在沉积型铝土矿调查中的应用研究[J]. 物探与化探, 2014, 38(3):409-425.
|
[16] |
Wang W Y, Ren F L, Wang Y P, et al. The application research on the gravity exploration in sedimentary bauxite deposit survey[J]. Geophysical and Geochemical Exploration, 2014, 38(3):409-415.
|
[17] |
牛源源, 郭良辉, 石磊, 等. 近地表密度估计的重力贝叶斯分析方法及在云南地区的应用[J]. 地球物理学报, 2019, 62(6):2101-2114.
|
[17] |
Niu Y Y, Guo L H, Shi L, et al. Estimation of near-surface density based on gravity Bayesian analysis and its application in Yunnan area[J]. Chinese Journal of Geophysics, 2019, 62(6):2101-2114.
|
[18] |
Martins C M, Barbosa V C F, Silva J B C. Simultaneous 3D depth-to-basement and density-contrast estimates using gravity data and depth control at few points[J]. Geophysics, 2010, 75(3):I21-I28.
|
[19] |
Florio G. Mapping the depth to basement by iterative rescaling of gravity or magnetic data[J]. Journal of Geophysical Research: Solid Earth, 2018, 123(10):9101-9120.
|
[20] |
Florio G. The estimation of depth to basement under sedimentary basins from gravity data: Review of approaches and the ITRESC method, with an application to the Yucca flat basin (Nevada)[J]. Surveys in Geophysics, 2020, 41:935-961.
|
[21] |
刘生荣, 高鹏, 耿涛, 等. 不同源DEM数据在高山区重力中区地形改正中的实用性[J]. 物探与化探, 2019, 43(5):1111-1118.
|
[21] |
Liu S R, Gao P, Geng T, et al. The application of different sources DEM data in media region terrain correction of gravity in high mountain areas[J]. Geophysical and Geochemical Exploration, 2019, 43(5):1111-1118.
|
[22] |
吕梓龄. 山区区域重力测量中间层校正系数的确定[J]. 物探与化探, 1989, 13(1):15-20.
|
[22] |
Lyu Z L. The determination of stone slab correction coefficient in regional gravity measurement of mountain areas[J]. Geophysical and Geochemical Exploration, 1989, 13(1):15-20.
|
[23] |
Bott M H P. The use of rapid digital computing methods for direct gravity interpretation of sedimentary basins[J]. Geophysical Journal of the Royal Astronomical Society, 1960, 3(1):63-67.
|
[24] |
Silva J B C, Santos D F, Gomes K P. Fast gravity inversion of basement relief[J]. Geophysics, 2014, 79(5):G79-G91.
|
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