地震研究

针对流动重力观测过程中存在的仪器不确定性导致观测数据质量的问题,收集2015—2018年辽宁地区的6期时变重力观测数据,分别采用贝叶斯分析方法和经典最小二乘平差方法,计算相对重力仪的漂移率和格值系数,对重力观测数据进行精度分析; 使用2021年5月—2022年5月重力数据分析辽宁地区地下介质活动性。结果表明:经典平差方法和贝叶斯平差方法对于拉科斯特型号重力仪器漂移率解算结果是一致的,贝叶斯方法可有效抑制仪器误差; 辽宁地区重力测网多年测量结果满足地震重力分析需求。辽宁地区整体重力变化较为平稳,表明地下介质活动较弱,断裂活动稳定。重力变化起伏较大的区域4级地震较为频繁。

In order to solve the problem of the gravimeter's uncertainty affecting the quality of the data from mobile gravity observation,the relative gravimeter's drift rate and scale coefficient were calculated by using the Bayesian analysis method and the classical least squares adjustment method,and the precision of gravity observation data were analyzed based on the 6 periods of time-variable gravity observation data collected in Liaoning from 2015 to 2018.Analysis of the gravity data observed in Liaoning from May 2021 to May 2022 will help to explain the gravity field changes,and analyze the relationship between the material change and the gravity field changes in Liaoning. The results show that the drift rates of the LaCoste gravimeter calculated respectively with the classical adjustment method and the Bayesian adjustment method are consistent, and the Bayesian method can effectively suppress instrument errors. The long-term measurements from the gravimetric network in Liaoning Province meet the need of seismic analysis. The overall gravity change in Liaoning Province is relatively steady, indicating the weak activity of underground media and the stable faults in this region. Areas with significant gravity fluctuation experienced frequent 4-magnitude earthquakes.

引言
1 辽宁地区流动重力测网及数据选取
2 贝叶斯重力平差模型
3 仪器不确定性评价及数据分析
4 结论

图1 辽宁测网弹簧重力仪的漂移率变化<br/>Fig.1 Drift rate of the spring gravimeters of theLiaoning gravimetric network

图1 辽宁测网弹簧重力仪的漂移率变化
Fig.1 Drift rate of the spring gravimeters of theLiaoning gravimetric network

图2 经典平差法(a)与贝叶斯平差法(b)的重力段差残差及其直方图(c)<br/>Fig.2 Gravity difference residuals from the classical adjustment method(a)and the Bayesian adjustment method(b),and the residuals' histogram(c)

图2 经典平差法(a)与贝叶斯平差法(b)的重力段差残差及其直方图(c)
Fig.2 Gravity difference residuals from the classical adjustment method(a)and the Bayesian adjustment method(b),and the residuals' histogram(c)

表1 辽宁地区重力测网贝叶斯格值优化的格值系数与格值偏差统计<br/>Tab.1 Statistics of scale coefficients and scale deviation after Bayesian scale optimization in Liaoning gravimetric area

表1 辽宁地区重力测网贝叶斯格值优化的格值系数与格值偏差统计
Tab.1 Statistics of scale coefficients and scale deviation after Bayesian scale optimization in Liaoning gravimetric area

图3 辽宁地区流动重力测网相对重力仪初始和优化格值系数(图中虚线为绝对重力观测时间)<br/>Fig.3 Variation of the initial and the optimized scale coefficients of the relative gravimeters in the Liaoning [JZ]gravimetric network(dotted lines representthe absolute gravity observation time)

图3 辽宁地区流动重力测网相对重力仪初始和优化格值系数(图中虚线为绝对重力观测时间)
Fig.3 Variation of the initial and the optimized scale coefficients of the relative gravimeters in the Liaoning [JZ]gravimetric network(dotted lines representthe absolute gravity observation time)

图4 采用初始和优化格值系数时测点段差与仪器互差变<br/>Fig.4 The interval difference between the measuringpoints and the instrument deviation when applyingthe initial and the optimized scale coefficients

图4 采用初始和优化格值系数时测点段差与仪器互差变
Fig.4 The interval difference between the measuringpoints and the instrument deviation when applyingthe initial and the optimized scale coefficients

图5 2021年5月—2022年5月辽宁地区半年尺度重力反演场源特征<br/>Fig.5 Field source characteristics of the inverted semi-annual gravity in Liaoning from May 2021 to May 2022

图5 2021年5月—2022年5月辽宁地区半年尺度重力反演场源特征
Fig.5 Field source characteristics of the inverted semi-annual gravity in Liaoning from May 2021 to May 2022

陈兆辉,孟小红,张双喜,等.2019.青藏高原东南缘多尺度重力场变化特征及孕震机理分析[J].地震地质,41(3):609-703.
Chen Z H,Meng X H,Zhang S X,et al.2019.Characteristics of multi-scale gravity field variation and seismogenic mechanism analysis in the southeastern Tibetan plateau[J].Seismology and Geology,41(3):690-703.(in Chinese)
黄江培,杜家云,曹颖,等.2023.云南流动重力观测中相对重力仪漂移估计方法[J].地震研究,46(4):511-520.
Huang J P,Du J Y,Cao Y,et al.2023.The estimation method of the zero drift of the relative gravimeter in high-precision time-varying gravity observation in Yunnan[J].Journal of Seismological Research,46(4):511-520.(in Chinese)
贾晓东,翟丽娜,陈石.2021.辽宁地区时变重力场源变化特征分析[J].地震,41(1):180-190.
Jia X D,Zhai L N,Chen S.2021.Analysis on characteristics of time-varying gravity field source changes in Liaoning Area[J].Earthquake,41(1):180-190.(in Chinese)
申重阳,杨光亮,谈洪波,等.2015.维西—贵阳剖面重力异常与地壳密度结构特征[J].地球物理学报,58(11):3952-3964.
Shen C Y,Yang G L,Tan H B,et al.2015.Gravity anomalies and crustal density structure characteristics of profile Weixi-Guiyang[J].Chinese Journal of Geophysics,58(11):3952-3964.(in Chinese)
王林海,陈石,庄建仓,等.2020.精密重力测量中相对重力仪格值系数的贝叶斯估计方法[J].测绘学报,49(12):1543-1553.
Wang L H,Chen S,Zhuang J C,et al.2020.Bayesian estimation method of lattice coefficients of relative gravimeters in precision gravity measurements[J].Acta Geodaetica et Cartogrphica Sinica,49(12):1543-1553.(in Chinese)
王林海,陈石.2021.贝叶斯重力平差算法的稳定性评估与统计检验[J].华中科技大学学报(自然科学版),51(3):92-99.
Wang L H,Chen S.2021.Stability evaluation and statistical test of Bayesian gravity adjustment algorithm[J].Journal of Huazhang University of Science and Technology(Natural Science Edition),51(3):92-99.(in Chinese)
杨锦玲,陈石,王林海,等.2021.华南陆地时变重力观测数据质量评估[J].测绘学报,50(3):333-342.
Yang J L,Chen S,Wang L H,et al.2021.Data qualily assessment of time-varying terrestrial gravity observation in South China[J].Acta Geodaetica et Cartogrphica Sinica,50(3):333-342.(in Chinese)[HJ1.75mm]
翟丽娜,贾晓东,焦明若,等.2020.基于欧拉反褶积方法计算辽宁地区重力变化场源特征[J].地震研究,43(2):388-393.
Zhai L N,Jia X D,Jiao M R,et al.2020.Determine the field source characteristics of gravity variation in Liaoning based on the Euler deconvolution technique[J].Journal of Seismological Research,43(2):388-393.(in Chinese)
郑秋月,刘东,杨薪俊,等.2022.云南流动重力测网数据质量及场源分辨能力评估[J].华中科技大学学报(自然科学版),50(9):48-55.
Zheng Q Y,Liu D,Yang X J,et al.2022.Evaluation of data quality and field-source resolution of terrestrial mobile gravity netword in Yunnan[J].Journal of Huazhang University of Science and Technology(Natural Science Edition),50(9):48-55.(in Chinese)
祝意青,梁伟锋,赵云峰,等.2017.2017年四川九寨沟MS7.0地震前区域重力场变化[J].地球物理学报,60(10):4124-4131.
Zhu Y Q,Liang W F,Zhao Y F,et al.2017.Gravity changes before the Jiuzhaigou,Sichuan,MS7.0 earthquake of 2017[J].Chinese Journal of Geophysics,60(10):4124-4131.(in Chinese)
祝意青,申重阳,刘芳,等.2020.重力观测地震预测应用研究[J].中国地震,36(4):708-717.
Zhu Y Q,Shen C Y,Zhan F B,et al.2020.Application of earthquake prediction based on gravity observation[J].Earthquake Research in China,36(4):708-717.(in Chinese)
Chen J L,Byron Tapley,Ki-Weon Seo,et al.2019a.Improved quantification of global mean ocean mass change using GRACE satellite gravimetry measurements[J].Geophysical Research Letters,46(23):13984-13991.
Chen S,Zhuang J,Li X,et al.2019b.Bayesian approach for network adjustment for gravity survey campaign:Methodology and model test[J].Journal of Geodesy,93(5):681-700.
Heck B,Seitz K.2007.A comparison of the tesseroid,prism and point-mass approaches for mass reductions in gravity field modelling[J].Journal of Geodesy,81(2):121-136.
Meyer U,Jean Y,Kvas A,et al.2019.Combination of GRACE monthly gravity fields on the normal equation level[J].Journal of Geodesy,93(9):1645-1658.
Michel van Camp,Olivier de Viron,Arnaud Watlet,et al.2017.Geophysics from terrestrial time-variable gravity measurements[J].Reviews of Geophysics,55(4):938-992.
Tooseh E K,Jafari A,Teymouri A.2017.Experimental investigation of injection pressure effect on the natural gas storage in aquifers[J].International Journal of Chemical Engineering and Applications,8(6):351-354.

备注

引言

1 辽宁地区流动重力测网及数据选取

2 贝叶斯重力平差模型

3 仪器不确定性评价及数据分析

4 结论

期刊信息