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冰川荷载作用下地壳回弹问题的混合间断有限元

尤悠 唐金波 余意隆 刘程熙 冯民富

四川大学学报(自然科学版)2026,Vol.63Issue(3):540-547,8.
四川大学学报(自然科学版)2026,Vol.63Issue(3):540-547,8.DOI:10.19907/j.0490-6756.240394

冰川荷载作用下地壳回弹问题的混合间断有限元

Mixed discontinuous Galerkin element for crustal rebound problem caused by glacier load

尤悠 1唐金波 2余意隆 2刘程熙 3冯民富4

作者信息

  • 1. 数值仿真四川省教育厅高校重点实验室/数学与大数据学院,内江师范学院,内江 641100||四川大学数学学院,成都 610065
  • 2. 中国科学院水利部成都山地灾害与环境研究所,成都 610041||中国科学院大学,北京 100049
  • 3. 数值仿真四川省教育厅高校重点实验室/数学与大数据学院,内江师范学院,内江 641100
  • 4. 四川大学数学学院,成都 610065
  • 折叠

摘要

Abstract

With the intensification of global warming,continuous melting of overlying glaciers leads to crustal rebound and results in the development of collapse and landslide disasters in the periglacial area.These disasters can further transform into more destructive geological hazard chains under the influence of precipita-tion.The biharmonic equation is often used to model the crustal rebound problem caused by glacier load.Nowadays,mainstream numerical methods are difficult to balance accuracy and complexity.To address this problem,a mixed discontinuous finite element method is adopted by introducing an intermediate variable to reduce the requirement of smoothness of finite element space for the biharmonic equation.In comparison with the traditional finite element methods,the selection of discontinuous Galerkin element has greater flexibility and can greatly simplify the complexity of numerical simulation,while maintaining high calculation accuracy.Furthermore,this study simulates the rebound of crust when the largest marine glacier in China,the Qiaqing Glacier,completely melts.Sensitivity analysis indicates that the thickness has a significant impact on the re-bound deformation and the Young's modulus of crust is relatively minor.The obtained results are expected to provide an important reference for the prediction and prevention of landslide disasters triggered by glacier melt.

关键词

冰川荷载/地壳回弹/重调和方程/混合间断有限元

Key words

glacier loading/crustal rebound/biharmonic equation/mixed discontinuous Galerkin element

分类

数理科学

引用本文复制引用

尤悠,唐金波,余意隆,刘程熙,冯民富..冰川荷载作用下地壳回弹问题的混合间断有限元[J].四川大学学报(自然科学版),2026,63(3):540-547,8.

基金项目

国家自然科学基金(42471091) (42471091)

西藏自治区科技重大专项(XZ202201ZD0003G) (XZ202201ZD0003G)

中国科学院成都山地灾害与环境研究所自主部署项目(IMHE-ZDRW-02) (IMHE-ZDRW-02)

数值仿真四川省教育厅高校重点实验室开放研究项目(2025SZFZ004) (2025SZFZ004)

四川大学学报(自然科学版)

0490-6756

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