基于不同规范的重力仪性能试验的误差指标对比

doi:10.11720/wtyht.2025.1081

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摘要

重力仪器的性能试验是重力调查工作的一个重要内容,贯穿外业调查的始终。工作中,普遍采用“均方误差”“精度”和“中误差”对仪器性能试验结果进行定量化表述。通过对比地质调查、石油、测量这3类规范中的动态试验、一致性试验理论算式,发现“均方误差”“精度”和“中误差”存在明显的混用现象,其中,在3类规范中一致性试验的算式一致,计算结果却采用上述3种表述。本文通过对3类规范的动态、一致性试验的算式研究,分析了“均方误差”和“中误差”的区别,阐明了“中误差”相对于“均方误差”的规范性,确定了“中误差”的使用范围,为避免混淆,建议规范中采用“准确度”作为定性表述,“中误差”作为定量表述。

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	常小鹏
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	乔衍溢
	江成龙

关键词 ：重力测量, 规范, 性能试验, 均方误差, 精度, 中误差

Abstract：

As an important part of gravity investigation, the performance tests of gravimeters are required throughout field surveys. In these tests, mean squared error (MSE), accuracy, and root mean squared error (RMSE) are commonly employedto quantitatively describe the test results. The comparison of the theoretical equations for dynamic and consistency tests in specifications on geological surveys, petroleum, and measurement reveals a pronounced confusion in the usage of MSE, accuracy, and RMSE. This issue is observed in the consistent equations forconsistency testsin these specifications. Through investigations into the equations used in the dynamic and consistency tests inthe threespecifications, this study analyzed the differences between mean MSE and RMSE, elucidated the normativity of RMSE relative to MSE, and determined the applicablerange of RMSE. To avoid confusion, it is recommended that accuracy be used for qualitative expression and RMSE for quantitative expression in these specifications.

Key words： gravity measurement specification performance test mean squared error precision root mean squared error

收稿日期: 2024-03-05 修回日期: 2024-06-05 出版日期: 2025-04-20

ZTFLH:

P631

基金资助:中国地质调查局项目(DD20243177)

通讯作者: 陈亮(1985-),男,高级工程师,主要从事综合地球物理调查及方法技术研究工作。Email:wansqsan@163.com

作者简介: 常小鹏(1991-),男,工程师,主要从事重磁勘探及非线性反演理论研究工作。Email:1025943114@qq.com

引用本文:

常小鹏, 陈亮, 张翔, 乔衍溢, 江成龙. 基于不同规范的重力仪性能试验的误差指标对比[J]. 物探与化探, 2025, 49(2): 370-377.
CHANG Xiao-Peng, CHEN Liang, ZHANG Xiang, QIAO Yan-Yi, JIANG Cheng-Long. Comparison of error indicators for performance tests of gravimeters based on different specifications. Geophysical and Geochemical Exploration, 2025, 49(2): 370-377.

链接本文:

https://www.wutanyuhuatan.com/CN/10.11720/wtyht.2025.1081 或 https://www.wutanyuhuatan.com/CN/Y2025/V49/I2/370

Table 1 不同规范的重力仪器性能试验误差指标

Fig.1 射击时弹着点的位置^[22]

[1]	王谦身, 安玉林, 张赤军, 等. 重力学[M]. 北京: 地震出版社, 2003.
[1]	Wang Q S, An Y L, Zhang C J, et al. Gravitology[M]. Beijing: Seismological Press, 2003.
[2]	曾华霖. 重力场与重力勘探[M]. 北京: 地质出版社, 2005.
[2]	Zeng H L. Gravity field and gravity exploration[M]. Beijing: Geological Publishing House, 2005.
[3]	焦新华, 吴燕冈. 重力与磁法勘探[M]. 北京: 地质出版社, 2009.
[3]	Jiao X H, Wu Y G. Gravity and magnetic exploration[M]. Beijing: Geological Publishing House, 2009.
[4]	孟令顺, 杜晓娟. 勘探重力学与地磁学[M]. 北京: 地质出版社, 2008.
[4]	Meng L S, Du X J. Exploration gravity and geomagnetism[M]. Beijing: Geological Publishing House, 2008.
[5]	中华人民共和国自然资源部. DZ/T 0082—2021区域重力调查规范[S]. 北京: 地质出版社, 2021.
[5]	Ministry of Natural Resources of the People’s Republic of China. The standard for regional gravity survey:DZ/T 0082—2021[S]. Beijing: Geological Publiching House, 2021.
[6]	中华人民共和国国土资源部. DZ/T 0004—2015重力调查技术规范(1:50 000)[S]. 北京: 地质出版社, 2015.
[6]	Ministry of Land and Resources of the People’s Republic of China. DZ/T 0004—2015 The technical specification for gravity survey(1:50 000)[S]. Beijing: Geological Publishing House, 2015.
[7]	国家能源局. SY/T 5819—2016陆上重力磁力勘探技术规程[S]. 北京: 石油工业出版社, 2017.
[7]	National Energy Bureau of the People’s Republic of China. SY/T 5819—2016 Technical specifications for land gravity and magnetic surveys[S]. Beijing: Petroleum Industry Press, 2017.
[8]	中华人民共和国国土资源部. DZ/T 0171—2017大比例尺重力勘查规范[S]. 北京: 地质出版社, 2017.
[8]	Ministry of Land and Resources of the People’s Republic of China. DZ/T 0171—2017 Large-scale gravity survery specification[S]. Beijing: Geological Publishing House, 2017.
[9]	国家市场监督管理总局, 国家标准化管理委员会. GB/T 17944—2018加密重力测量规范[S]. 北京: 中国标准出版社, 2019.
[9]	State Administration for Market Regulation, Standardization Administration of the People’s Republic of China. GB/T 17944—2018 Specifications for the dense gravity measurement[S]. Beijing: Standards Press of China, 2019.
[10]	国家市场监督管理总局, 国家标准化管理委员会. GB/T 20256—2019国家重力控制测量规范[S]. 北京: 中国标准出版社, 2019.
[10]	State Administration for Market Regulation, Standardization Administration of the People’s Republic of China. GB/T 20256—2019 Specifications for the gravimetry control[S]. Beijing: Standards Press of China, 2019.
[11]	苏美霞, 孙会玲, 赵志军, 等. 内蒙古高尔旗半隐伏银铅锌多金属矿中大比例尺重力测量应用效果[J]. 物探与化探, 2018, 42(2):292-302.
[11]	Su M X, Sun H L, Zhao Z J, et al. The application of large and medium scale gravity measurement to the Gaoer Banner half-concealed Ag-Pb-Zn polymetallic deposit,Inner Mongoli[J]. Geophysical and Geochemical Exploration, 2018, 42(2):292-302.
[12]	李建超, 曹朋军, 王志豪, 等. 重力勘探在山东平度地区基底构造发育研究的应用[J]. 华北地质, 2021, 44(1):75-80.
[12]	Li J C, Cao P J, Wang Z H, et al. Application of gravity exploration in the study of basement structure development in Pingdu area[J]. North China Geology, 2021, 44(1):75-80.
[13]	高伊航, 沈军辉, 苏永军, 等. 重力调查在潍坊滨海区划分断裂和构造单元中的应用[J]. 地质调查与研究, 2019, 42(1):72-76.
[13]	Gao Y H, Shen J H, Su Y J, et al. Application of gravity survey on the fracture and tectonic units in littoral region of Weifang,Shandong Province[J]. Geological Survey and Research, 2019, 42(1):72-76.
[14]	宋旭锋, 曹涛, 黄钊, 等. 重力测量在云南勐伴地区盐盆地钾盐资源调查评价中的应用[J]. 云南大学学报:自然科学版, 2023, 45(S1):64-72.
[14]	Song X F, Cao T, Huang Z, et al. Application of gravity survey in investigation and evaluation ofpotassium salt resources in salt basin in Mengban area,Yunnan Province[J]. Journal of Yunnan University:Natural Sciences Edition, 2023, 45(S1):64-72.
[15]	党亚民, 蒋涛, 杨元喜, 等. 中国大地测量研究进展(2019—2023)[J]. 测绘学报, 2023, 52(9):1419-1436. doi: 10.11947/j.AGCS.2023.20230343
[15]	Dang Y M, Jiang T, Yang Y X, et al. Research progress of geodesy in China (2019—2023)[J]. Acta Geodaetica et Cartographica Sinica, 2023, 52(9):1419-1436. doi: 10.11947/j.AGCS.2023.20230343
[16]	许彩, 廖世康. 重力/惯性匹配导航空间分辨率同步技术[J]. 光学与光电技术, 2023, 21(4):138-144.
[16]	Xu C, Liao S K. Spatial resolution synchronization technology of gravity/inertial matching navigation[J]. Optics & Optoelectronic Technology, 2023, 21(4):138-144.
[17]	张衡, 朱伟, 张省. 重力场模型谱组合精化区域似大地水准面[J]. 测绘科学, 2023, 48(4):54-59.
[17]	Zhang H, Zhu W, Zhang S. Refinement of regional quasigeoid based on spectral combination of gravity field models[J]. Science of Surveying and Mapping, 2023, 48(4):54-59.
[18]	常小鹏, 陈亮, 张翔, 等. 基于不同规范的重力仪双程往返零漂率计算分析[J]. 物探与化探, 2023, 47(5):1307-1315.
[18]	Chang X P, Chen L, Zhang X, et al. Calculation and analysis of zero drift rates of gravimeters in two-way reciprocal observations based on different specifications[J]. Geophysical and Geochemical Exploration, 2023, 47(5):1307-1315.
[19]	张善钟, 张之江, 于瀛洁. 关于精密度、正确度、准确度和精度[J]. 宇航计测技术, 1996, 16(2):51-55.
[19]	Zhang S Z, Zhang Z J, Yu Y J. On term precision,correctness and accuracy[J]. Journal of Astronautic Metrology and Measurement, 1996, 16(2):51-55.
[20]	国家计量总局. JJG 1001-82常用计量名词术语及定义[S]. 北京: 中国计量出版社, 1982.
[20]	State Administration of Metrology. JJG 1001-82 Common measurement terms and definitions[S]. Beijing: China Metrology Publishing House, 1982.
[21]	盛伯湛. “精度” 是个含义不确定的非规范用语[J]. 衡器, 2021, 50(2):35-37.
[21]	Sheng B Z. “Precision” is a nonstandard term with uncertain meaning[J]. Weighing Instrument, 2021, 50(2):35-37.
[22]	陆洪波, 陈琪. 测量“精度” 与仪器“精度”[J]. 北京测绘, 2013, 27(5):8-11.
[22]	Lu H B, Chen Q. The“precision” of measurement and the “accuracy” of instruments[J]. Beijing Surveying and Mapping, 2013, 27(5):8-11.
[23]	国家质量监督检验检疫总局. JJF 1001—2011通用计量术语及定义[S]. 北京: 中国质检出版社, 2012.
[23]	GeneralAdministration of Quality Supervision,Inspection and Quarantine of the People’s Republic of China. JJF 1001—2011 General terms in metrology and their definitions[S]. 2012.
[24]	胡迪忠, 谭恺炎. 精度、精密度、精确度、准确度、正确度等释义与应用[J]. 大坝与安全, 2017(5):15-17.
[24]	Hu D Z, Tan K Y. Explanation on accuracy,precision and trueness and its application[J]. Dam & Safety, 2017(5):15-17.
[25]	曾华霖. 重力仪的现状及发展[J]. 物探与化探, 1999, 23(2):84-89,103.
[25]	Zeng H L. Present state and development of gravimeters[J]. Geophysical and Geochemical Exploration, 1999, 23(2):84-89,103.
[26]	尚立志, 张宝松, 黄宁. LCR-G、CG-5型重力仪仪器性能试验比较[J]. 绿色科技, 2017, 19(4):137-139.
[26]	Shang L Z, Zhang B S, Huang N. Comparative analysis of instrument performance test of LCR-G and CG-5 gravimeter[J]. Journal of Green Science and Technology, 2017, 19(4):137-139.
[27]	赵云峰, 祝意青, 梁伟锋, 等. Burris型重力仪性能分析[J]. 地震地磁观测与研究, 2018, 39(2):178-185.
[27]	Zhao Y F, Zhu Y Q, Liang W F, et al. Study on the characteristics of burris gravimeter[J]. Seismological and Geomagnetic Observation and Research, 2018, 39(2):178-185.
[28]	邓友茂, 王振亮, 孙诚业. CG型重力仪性能对比分析[J]. 大地测量与地球动力学, 2021, 41(4):432-435.
[28]	Deng Y M, Wang Z L, Sun C Y. Comparative analysis of the CG gravimeters performance[J]. Journal of Geodesy and Geodynamics, 2021, 41(4):432-435.
[29]	曹金国, 王来鹏, 翟广卿, 等. CG-5重力仪及应用[M]. 北京: 解放军出版社, 2007.
[29]	Cao J G, Wang L P, Qu G Q, et al. CG-5 Gravimeter and applications[M]. Beijing: PLA Publishing House, 2007.
[30]	郝洪涛, 刘少明, 韦进, 等. CG-6型重力仪零漂特性研究[J]. 大地测量与地球动力学, 2019, 39(10):1086-1090.
[30]	Hao H T, Liu S M, Wei J, et al. Study on zero drift characteristics of CG-6 gravimeter[J]. Journal of Geodesy and Geodynamics, 2019, 39(10):1086-1090.
[31]	玄松柏, 汪健, 李杰, 等. 新一代CG-6重力仪性能分析[J]. 大地测量与地球动力学, 2018, 38(1):5-7,13.
[31]	Xuan S B, Wang J, Li J, et al. Performance analysis on a new generation of the CG-6 gravimeter[J]. Journal of Geodesy and Geodynamics, 2018, 38(1):5-7,13.
[32]	陶照明, 梁连仲, 秦佩, 等. 高精度数字重力仪的倾角测量技术研究[J]. 地质装备, 2020, 21(5):18-22.
[32]	Tao Z M, LiangL Z, Qin P, et al. Researchoninclinationanglemeasurementtechnologyappliedto high precision digital gravimeter[J]. Equipment for Geotechnical Engineering, 2020, 21(5):18-22.
[33]	高鹏, 李增涛, 于峰丹, 等. 利用Excel实现快速整理CG-5型重力仪静态试验数据和计算漂移常量DRIFT[J]. 物探与化探, 2019, 43(1):209-214.
[33]	Gao P, Li Z T, Yu F D, et al. Quick processing of static test data of CG-5 gravimeter and calculation of the parameter DRIFT using Excel[J]. Geophysical and Geochemical Exploration, 2019, 43(1):209-214.
[34]	何志堂, 陈惠军, 任秀波, 等. Burris70、Burris73相对重力仪性能试验[J]. 测绘技术装备, 2012, 14(3):60-61,59.
[34]	He Z T, Chen H J, Ren X B, et al. Performance test of Burris70 and Burris73 relative gravimeters[J]. Geomatics Technology and Equipment, 2012, 14(3):60-61,59.
[35]	中华人民共和国住房和城乡建设部. CJJ/T 8—2011城市测量规范[S]. 北京: 中国建筑工业出版社, 2012.
[35]	Ministryof Housing and Urban-Rural Development of the People’s Republic of China. CJJ/T 8—2011 Code for urban survey[M]. Beijing: China Architecture & Building Press, 2012.
[36]	邓永和. 中误差贝塞尔公式的推导[J]. 大地测量与地球动力学, 2009, 29(3):128-130.
[36]	Deng Y H. Deduction of Bessel mean square error formula[J]. Journal of Geodesy and Geodynamics, 2009, 29(3):128-130.
[37]	邓永和. 中误差贝塞尔公式推导的进一步研究[J]. 铁道勘察, 2009, 35(5):8-9.
[37]	Deng Y H. Further consideration on deduction of Bessel mean square error formula[J]. Railway Investigation and Surveying, 2009, 35(5):8-9.
[38]	周祖渊. 浅析《测量学》教学中误差理论的几个难点[J]. 北京测绘, 2000, 14(1):42-44.
[38]	Zhou Z Y. Analysis on several difficulties of error theory in the teaching of surveying[J]. Beijing Surveying and Mapping, 2000, 14(1):42-44.

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