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- 2017
系数矩阵误差对地壳应变参数反演的影响
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Abstract:
针对地壳应变参数反演模型中系数矩阵含随机和非随机元素及观测数据存在相关性等情况,以部分变量误差(partial-errors-in-variables,PEIV)模型为基础,采用了地壳应变参数反演的加权总体最小二乘算法,该算法不受系数矩阵和权矩阵结构的限制,能够快速、有效解决系数矩阵含有随机误差的模型问题。结合推导得到的最小二乘改正项公式,对地壳反演模型中坐标点误差对反演参数求解的影响进行了分析。通过对模拟数据和川滇地区的实际数据进行处理,得出系数矩阵误差对地壳应变参数反演的影响主要受GPS站点坐标值量级以及应变参数量级的牵制
[1] | Wang Xiaoqiang, Li Jie, Alexanderz, et al. Horizontal Movement and Strain Characteristics in Tianshan and Its Adjacent Region with GPS Deformation Data[J].Acta Seismologica Sinica, 2007, 29(1): 31-37 (王晓强,李杰,Alexander Z,等. 利用GPS形变资料研究天山及邻近地区地壳水平位移与应变特征[J]. 地震学报,2007,29(1):31-37) |
[2] | Wang Yanzhao, Wang Enning, Shen Zhengkang, et al. GPS-constrained Inversion of Present-day Slip Rates along Major Faults of The Sichuan-Yunnan Region, China[J].Science in China Series D: Earth Sciences, 2008, 38(5): 582-597 (王阎昭,王恩宁,沈正康,等. 基于GPS资料约束反演川滇地区主要断裂现今活动速率[J]. 中国科学(D辑),2008, 38(5):582-597) |
[3] | Xu P L, Liu J N, Shi C. Total Least Squares Adjustment in Partial Errors-in-variables Models: Algorithm and Statistical Analysis[J]. Journal of Geodesy, 2012, 86(8):661-675 |
[4] | Wang Leyang. Inversion of Crustal Strain Parameters Based on Total Least Squares[J].Journal of Geodesy and Geodynamics, 2013, 33(3): 106-110 (王乐洋. 地壳应变参数反演的总体最小二乘方法[J]. 大地测量与地球动力学,2013, 33(3):106-110) |
[5] | Zeng Wenxian. Effect of the Random Design Matrix on Adjustment of an EIV Model and Its Reliability Theory[D].Wuhan: Wuhan University, 2013 (曾文宪. 系数矩阵误差对EIV模型平差结果的影响研究[D]. 武汉:武汉大学, 2013) |
[6] | Xu Xiwei, Wen Xueze, Zheng Rongzhang, et al. Pattern of Latest Tectonic Motion and Its Dynamics for Active Blocks in Sichuan-Yunnan Region, China[J]. Science in China Series D: Earth Sciences, 2003, 33 (Suppl 1): 151-162 (徐锡伟,闻学泽,郑荣章,等. 川滇地区活动块体最新构造变动样式及其动力来源[J]. 中国科学(D辑),2003, 33(S1): 151-162) |
[7] | Jiang Zaisen, Zhang Xi, Wang Shuangxu, et al.The Method of Solving Horizontal Crustal Strain Field by Using Crustal Deformation Observation[J]. Earthquake, 1999, 19(1):41-48 (江在森,张希,王双绪等. 利用地形变观测量求解地壳水平应变场的方法[J]. 地震,1999,19(1):41-48) |
[8] | Yang Guohua, Li Yanxing, Han Yueping, et al. Current Horizontal Strain Field in Chinese Mainland Derived from GPS Data[J].Acta Seismologica Sinica, 2002, 24(4): 337-347 (杨国华,李延兴,韩月萍,等. 由GPS观测结果推导中国大陆现今水平应变场[J]. 地震学报,2002, 24(4):337-347) |
[9] | Xu Caijun. Progress of Joint Inversion on Geodesy and Geophysics[J]. Geomatics and Information Science of Wuhan University, 2001, 26(6): 555-561 (许才军. 大地测量联合反演理论和方法研究进展[J]. 武汉大学学报·信息科学版,2001,26(6):555-561) |
[10] | Wang Leyang. Research on Theory and Application of Total Least Squares in Geodetic Inversion[D]. Wuhan: Wuhan University, 2011 (王乐洋. 基于总体最小二乘的大地测量反演理论及应用研究[D]. 武汉: 武汉大学, 2011) |
[11] | Xu C J, Wen Y M. Identification and Analyze of Crustal Motion and Deformation Models in The Sichuan-Yunnan Region[J]. Journal of Applied Geodesy, 2007, 1(4):213-222 |
[12] | Shen Z K, Lv J N, Wang M, et al. Contemporary Crustal Deformation Around The Southeast Borderland of The Tibetan Plateau[J]. Journal of Geophysical Research: Solid Earth, 2005, 110(B11) |
[13] | Schaffrin B, Felus Y A. On the Multivariate Total Least-squares Approach to Empirical Coordinate[J]. Journal of Geodesy, 2008, 82(6): 373-383 |
[14] | Li Yanxing, Hu Xinkang, Shuai Ping, et al.The Velocity Fields and Strain Fields of Horizontal Crust Motion of the Mainland of China[J]. Recent Developments in World Seismology, 2002, (7): 1-9 (李延兴,胡新康,帅平,等. 中国大陆地壳水平运动速度场与应变场[J]. 国际地震动态,2002(7):1-9) |
[15] | Tao Benzao. Free Network Adjustment and Deformation Analysis[M]. Wuhan: Wuhan Technical University of Surveying and Mapping Press, 2011 (陶本藻. 自由网平差与变形分析[M]. 武汉:武汉测绘科技大学出版社, 2011) |
[16] | Lü Jiangning, Shen Zhengkang, Wang Min. Contemporary Crustal Deformation and Active Tectonic Block Model of The Sichuan-Yunnan Region, China[J]. Seismology and Geology, 2003, 25(4): 543-554 (吕江宁,沈正康,王敏. 川滇地区现代地壳运动速度场和活动块体模型研究[J]. 地震地质,2003, 25(4):543-554) |