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横向非均匀地球负荷问题的CLFE有限元算法的有效性
引用本文:汪汉胜,Wu Patrick,Hugo Schotman,王志勇.横向非均匀地球负荷问题的CLFE有限元算法的有效性[J].地球物理学报,2006,49(6):1657-1664.
作者姓名:汪汉胜  Wu Patrick  Hugo Schotman  王志勇
作者单位: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 T2N 1N4,Canada
3. SRON National Institute for Space Research,Utrecht 3584 CA,Netherlands;DEOS-Delft University of Technology,Delft 2629 HS,Netherlands
4. 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;中国科学院研究生院,北京 100049
基金项目:中国科学院知识创新工程项目,中国科学院科研基金,国家自然科学基金
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.

关 键 词:三维有限元  非均匀  负荷  冰后回弹
文章编号:0001-5733(2006)06-1657-08
收稿时间:2005-12-29
修稿时间:2005-12-292006-06-07

Validation of the Coupled-Laplace-Finite-Element method for the loading problem of a laterally heterogeneous spherical Earth
WANG Han-Sheng,Wu Patrick,Hugo Schotman,WANG Zhi-Yong.Validation of the Coupled-Laplace-Finite-Element method for the loading problem of a laterally heterogeneous spherical Earth[J].Chinese Journal of Geophysics,2006,49(6):1657-1664.
Authors:WANG Han-Sheng  Wu Patrick  Hugo Schotman  WANG Zhi-Yong
Abstract: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.
Keywords:3-D finite element  Heterogeneity  Loading  Post-glacial rebound
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