摘要
针对同震滑动分布反演中系数矩阵出现病态的问题,提出两步解法,并在两步解法反演过程中引入拉普拉斯二阶平滑矩阵进行平滑约束。该方法不仅改善了系数矩阵的病态问题,同时也很好地抑制了相邻断层面间出现大的梯度变化。在两步解法反演过程中,用L曲线法确定正则化参数。系统模拟实验表明,对于最大滑动量,该方法的反演结果较一步最小二乘法的反演结果精度提高了3.34%~19%;对于均方根误差,该方法的反演结果较一步最小二乘法减小了3.3%~13.3%。芦山地震反演结果表明,利用两步解法进行滑动分布反演是可行的。
As for the ill-posed coefficient matrix in the process of co-seismic slip distribution inversion,a two-step solution method is proposed,and the Laplace second-order smoothing matrix is used for smoothing constraint in this paper.This method not only solves the ill-posed problem of the coefficient matrix,but also suppresses the large gradient variation between adjacent fault patches.During the inversion process of two-step solution method,the L curve method is used to determine the regularization parameters.In this paper,systematic simulation experiments are carried out and the Lushan earthquake is used as an actual earthquake case.The maximum slip inversion results of simulation experiments show that the inversion result of two-step solution method has been improved between 3.34%and 19%than that of one-step solution method in accuracy.The root mean square error inversion result of two-step method is less between3.3%and 13.3%than that of one-step solution method.The inversion results of the Lushan earthquake show that it is feasible to use the two-step solution for slip distribution inversion.
作者
王乐洋
赵雄
高华
WANG Leyang;ZHAO Xiong;GAO Hua(College of Geomatics,Shandong University of Science and Technology,Qingdao 266590,China;Faculty of Geomatics,East China University of Technology,Nanchang 330013,China)
出处
《武汉大学学报（信息科学版）》
EI
CSCD
北大核心
2019年第9期1265-1273,1311,共10页
Geomatics and Information Science of Wuhan University
基金
国家自然科学基金(41874001,41664001)
江西省杰出青年人才资助计划(20162BCB23050)
国家重点研发计划(2016YFB0501405)~~
关键词
同震滑动分布反演
两步解法
一步解法
拉普拉斯二阶平滑矩阵
最小二乘法
芦山地震
co-seismic slip distribution inversion
two-step solution
one-step solution
Laplace second-order smoothing matrix
least squares
Lushan earthquake
