横向非均匀地球负荷问题的CLFE有限元算法的有效性  

Validation of the Coupled-Laplace-Finite-Element method for the loading problem of a laterally heterogeneous spherical Earth

作　　者：汪汉胜[1] Wu Patrick Schotman Hugo 王志勇[1] 

机构地区：[1]中国科学院测量与地球物理研究所动力大地测量学重点实验室,武汉430077 [2]Department of Geology&Geophysics,University of Calgary,Calgary T2N1N4,Canada [3]SRONNational Institute for Space Research

出　　处：《地球物理学报》2006年第6期1657-1664,共8页Chinese Journal of Geophysics

基　　金：中国科学院知识创新工程重要方向性项目(KZCX3-SW-132);优秀博士学位论文获得者科研启动专项资金(040113);国家自然科学基金(40574010)(WUPatrick由加拿大NSERC的DiscoveryGrant资助)资助

摘　　要：本文设计了三个数值算例分别模拟径向分层黏弹地球对二阶球谐负荷、均厚圆盘负荷和全球末次冰期真实冰负荷的响应.利用耦合位扰动Laplace方程的三维有限元法(CLFE),计算出地球表面的位移、大地水准面的变化、冰后海平面变化和这些量的现今变化速率,并将其结果与传统谱方法的结果进行对比.结果表明,两种方法的结果总体上表现出良好的一致性,因此,CLFE方法被证实是正确的、有效的、能被用于研究地幔横向非均匀性的影响.值得注意的是,新的方法完全没有横向非均匀小扰动假设的限制.Three numerical cases are considered for the loading responses of stratified viscoelastic earth to second degree harmonic load, uniform disc ice load, and last-glacial realistic ice load respectively. The surface displacements, geoid perturbation, relative sea level and the present - day velocities of these quantities are computed with the newly developed Coupled-Laplace-Finite-Element （CLFE） method and compared with the traditional spectral method. The agreements between the results from two methods are found to be generally good. Therefore the CLFE method is shown to be correct, effective and can be applied to study the effects of lateral heterogeneity in the mantle. The new method is valuable since it is not limited to small perturbations in lateral heterogeneity.

关 键 词：三维有限元 非均匀 负荷 冰后回弹 

分 类 号：P223[天文地球—大地测量学与测量工程]