胡顺强,王坦,管雅慧,杨振宇

• 1:首都师范大学资源环境与旅游学院
• 2:中国地震台网中心

摘要(Abstract)：

针对传统的欧拉(Euler)矢量法在具有复杂构造运动的区域地区内构建GPS速度场模型精度低的问题,该文提出了欧拉矢量法结合遗传算法(GA)和BP神经网络方法来构建区域GPS速度场。以云南区域1999—2015年间的GPS速度场为实验数据,分别使用欧拉矢量法、遗传神经网络(GABP)、欧拉矢量结合神经网络(Euler-BP)和欧拉矢量的遗传神经网络(Euler-GABP)法构建区域速度场模型。实验结果表明,相比其他3种方法,该文提出的Euler-GABP方法在构建区域GPS速度场模型是可行和有效的且精度高。

关键词(KeyWords)： 欧拉矢量法;遗传算法;神经网络;速度场

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金项目（41672192）

作者(Author): 胡顺强,王坦,管雅慧,杨振宇

DOI: 10.16251/j.cnki.1009-2307.2021.02.005

参考文献(References)：

• [1] 许才军,张朝玉.地壳形变测量与数据处理[M].武汉:武汉大学出版社,2009.(XU Caijun,ZHANG Chaoyu.Crustal deformation and data processing[M].Wuhan:Wuhan University Press,2009.)
• [2] 魏子卿,刘光明,吴富梅.2000中国大地坐标系:中国大陆速度场[J].测绘学报,2011,40(4):403-410.(WEI Ziqing,LIU Guangming,WU Fumei.China geodetic coordinate system 2000:velocity field in China's mainland[J].Acta Geodaetica et Cartographica Sinica,2011,40(4):403-410.)
• [3] 蒋志浩,刘经南,王凡,等.全球CGCS2000坐标框架的构建理论研究[J].武汉大学学报(信息科学版),2018,43(2):167-174.(JIANG Zhihao,LIU Jingnan,WANG Fan,et al.Research on construction theory of global CGCS2000 coordinate frame[J].Geomatics and Information Science of Wuhan University,2018,43(2):167-174.)
• [4] 黄立人,杨国华,王敏.用速度场得到的华北地区活动块体及变形[J].地震学报,2003,25(1):72-81.(HUANG Liren,YANG Guohua,WANG Min.References active blocks and their deformations derived from the velocity field in north China[J].Acta Seismologica Sinica,2003,25(1):72-81.)
• [5] 邹镇宇,江在森,武艳强,等.基于GPS速度场变化结果研究汶川地震前后南北地震带地壳运动动态特征[J].地球物理学报,2015,58(5):1597-1609.(ZOU Zhenyu,JIANG Zaisen,WU Yanqiang,et al.Dynamic characteristics of crustal movement in north-south seismic belt from GPS velocity field before and after the Wenchuan earthquake[J].Chinese J Geophys,2015,58(5):1597-1609.)
• [6] 李彦川,单新建,宋小刚,等.GPS揭示的郯庐断裂带中南段闭锁及滑动亏损[J].地球物理学报,2016,59(11):4022-4034.(LI Yanchuan,SHAN Xinjian,SONG Xiaogang,et al.Fault locking and slip rate deficit on the middle and southern segment of the Tancheng-Lujiang fault inverted from GPS data[J].Chinese J Geophys,2016,59(11):4022-4034.
• [7] 石富强,邵志刚,占伟,等.青藏高原东北缘活动断裂剪切模量及应力状态数值模拟[J].地球物理学报,2018,61(9):3651-3663.(SHI Fuqiang,SHAO Zhigang,ZHAN Wei,et al.Numerical modeling of the shear modulus and stress state of active faults in the northeastern margin of the Tibetan Plateau[J].Chinese J Geophys,2018,61(9):3651-3663.)
• [8] 吴富梅,刘光明,魏子卿.利用局域欧拉矢量法建立CGCS2000速度场模型[J].武汉大学学报(信息科学版),2012,37(4):432-435.(WU Fumei,LIU Guangming,WEI Ziqing.Velocity field model of CGCS2000 based on Euler vector of local area[J].Geomatics and Information Science of Wuhan University,2012,37(4):432-435.)
• [9] 刘经南,姚宜斌,施闯.中国地壳运动整体速度场模型的建立方法研究[J].武汉大学学报(信息科学版),2002,27(4):331-336.(LIU Jingnan,YAO Yibin,SHI Chuang.Method for establishing the speed field model of crustal movement in China[J].Geomatics and Information Science of Wuhan University,2002,27(4):331-336.)
• [10] 江在森,刘经南.应用最小二乘配置建立地壳运动速度场与应变场的方法[J].地球物理学报,2010,53(5):1109-1117.(JIANG Zaisen,LIU Jingnan.The method in establishing strain field and velocity field of crustal movement using least squares collection[J].Chinese J Geophys,2010,53(5):1109-1117.)
• [11] 杨元喜,曾安敏.顾及几何观测信息和地球物理模型的形变参数自适应滤波解[J].中国科学(D辑:地球科学),2009,39(4):437-442.(YANG Yuanxi,ZENG Anmin.Adaptive filtering for deformation parameter estimation in consideration of geometrical measurements and geophysical models[J].Science in China(Series D:Earth Sciences),2009,39(4):437-442.)
• [12] 刘晓霞,江在森,武艳强.Kriging方法在GPS速度场网格化和应变率场计算中的适用性[J].武汉大学学报(信息科学版),2014,39(4):457-461.(LIU Xiaoxia,JIANG Zaisen,WU Yanqiang.The applicability of Kriging interpolation method in GPS velocity gridding and strain calculating[J].Geomatics and Information Science of Wuhan University,2014,39(4):457-461.)
• [13] 蒋志浩,张鹏,秘金钟,等.基于CGCS2000的中国地壳水平运动速度场模型研究[J].测绘学报,2009,38(6):471-476.(JIANG Zhihao,ZHANG Peng,BEI Jinzhong,et al.The model of crustal horizontal movement based on CGCS2000 frame[J].Acta Geodaetica et Cartographica Sinica,2009,38(6):471-476.)
• [14] 刘经南,施闯,姚宜斌,等.多面函数拟合法及其在建立中国地壳平面运动速度场模型中的应用研究[J].武汉大学学报(信息科学版),2001,26(6):500-503,508.(LIU Jingnan,SHI Chuang,YAO Yibin,et al.Hardy function interpolation and its applications to the establishment of crustal movement speed field[J].Geomatics and Information Science of Wuhan University,2001,26(6):500-503,508.)
• [15] 李冲,李建成,黄瑞金,等.考虑欧拉矢量的BP神经网络模型建立区域地壳运动速率场[J].武汉大学学报(信息科学版),2014,39(3):362-366.(LI Chong,LI Jiancheng,HUANG Ruijin,et al.Building up regional crustal movement velocity field with BP neutral network base on Euler vector[J].Geomatics and Information Science of Wuhan University,2014,39(3):362-366.)
• [16] 聂建亮,郭春喜,曾安敏,等.Elman神经网络在区域速度场建模中的应用[J].大地测量与地球动力学,2017,37(10):1015-1019.(NIE Jianliang,GUO Chunxi,ZENG Anmin.et al.Application of Elman neural network in velocity of local area[J].Journal of Geodesy and Geodynamics,2017,37(10):1015-1019.)
• [17] 吴建生,金龙,农吉夫.遗传算法BP神经网络的预报研究和应用[J].数学的实践与认识,2005,35(1):83-88.(WU Jiansheng,JIN Long,NONG Jifu.Forecast research and applying of BP neural network based on genetic algorithms[J].Mathematics in Practice and Theory,2005,35(1):83-88.)
• [18] 王鹤,刘梦琳,席振铢,等.基于遗传神经网络的大地电磁反演[J].地球物理学报,2018,61(4):1563-1575.(WANG He,LIU Menglin,XI Zhenzhu,et al.Magnetotelluric inversion based on BP neural network optimized by genetic algorithm[J].Chinese J Geophys,2018,61(4):1563-1575.)
• [19] ZHENG G,WANG H,WRIGHT T J,et al.Crustal deformation in the India-Eurasia collision zone from 25 years of GPS measurements[J].Journal of Geophysical Research(Solid Earth),2017,122(13):9290-9312.