摘要
地球变形的理论模拟对于高精度的大地测量学和地球物理学研究具有非常重要的意义.本文首先回顾了地球变形理论模拟所采用的基本理论和目前常用的方法,以常用的龙格-库塔数值积分法为例,详细介绍了该方法存在的困难和解决途径,以及引起该方法对球谐展开的高阶项低效甚至不适用的原因.然后通过引入对地球模型参数的合理假设,介绍了解析解的构建方法.最后将该新方法用于计算位错勒夫数.作为例子,模拟了浅源爆炸引起的地表形变.结果表明本文介绍的解析解方法是非常高效和稳定的,且由此获得的位错勒夫数渐近值确保了爆炸源格林函数的收敛.
It is of great scientific importance in high precision geodesy and geophysics to theoretically model the Earth′s deformation. We first review the commonly used theory and methods in theoretical modeling of the Earth′s deformation. For the Runge-Kutta method as an example, the numerical difficulties and the ways to overcoming them are both described. We explain why Runge-Kutta method is useless for high harmonic degrees. Then, we introduce a new method to construct the analytical solution by making use of some reasonable assumptions on the Earth model. Finally the new method is applied to compute the dislocation Love numbers. As an example, the deformation due to a shallow explosion is modeled. The results validate that the method is both efficient and stable. This method can produce the asymptotic dislocation Love numbers which guarantees the convergence of the corresponding Green′s functions.
作者
周江存
潘尔年
孙和平
徐建桥
陈晓东
崔小明
ZHOU JiangCun;PAN ErNian;SUN HePing;XU JianQiao;CHEN XiaoDong;CUI XiaoMing(State Key Laboratory of Geodesy and Earth′s Dynamics,Innovation Academy for Precision Measurement Science and Technology,Chinese Academy of Sciences,Wuhan 430077,China;Disaster Prevention&Water Environment Research Center,Taiwan Yang Ming Chiao Tung University,Taiwan Hsinchu 300,China;University of Chinese Academy of Sciences,Beijing 100049,China)
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
2022年第10期3770-3779,共10页
Chinese Journal of Geophysics
基金
国家重点研发计划(2021YFA0715100)
中国科学院战略性先导科技专项(XDB41000000)
国家自然科学基金(41874026和41874094)联合资助。
关键词
地球变形
解析解
位错勒夫数
浅源爆炸
Earth′s deformation
Analytical solution
Dislocation Love numbers
Shallow explosion