首页|期刊导航|四川大学学报(自然科学版)|冰川荷载作用下地壳回弹问题的混合间断有限元

冰川荷载作用下地壳回弹问题的混合间断有限元OA

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

中文摘要英文摘要

随着全球变暖加剧,冰川的持续退缩造成冰川覆面地壳回弹及冰缘区崩塌滑坡灾害频发.在降水作用下,这些灾害可能进一步转化为破坏性更强的地质灾害链.重调和方程常被用于建模冰川载荷作用下的地壳回弹问题,但主流的数值解法难以兼顾高精度和低复杂度.本文采用混合间断有限元方法对该问题进行数值求解,通过引入中间变量降低方程对有限元空间光滑性的要求,且间断有限元的选取比传统有限元更具灵活性,能在保持计算精度的前提下极大降低计算复杂度.本文以中国最大的海洋性冰川——恰青冰川为例研究了冰川完全消融时地壳的回弹形变规律.参数敏感性分析表明,地壳厚度对回弹形变的影响较大,而地壳岩石的杨氏模量对回弹形变的影响则相对较小.本文的结果为冰川消融引发滑坡灾害的预测与防治提供了重要依据.

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.

尤悠;唐金波;余意隆;刘程熙;冯民富

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

数理科学

冰川荷载地壳回弹重调和方程混合间断有限元

glacier loadingcrustal reboundbiharmonic equationmixed discontinuous Galerkin element

《四川大学学报(自然科学版)》 2026 (3)

540-547,8

国家自然科学基金(42471091)西藏自治区科技重大专项(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)数值仿真四川省教育厅高校重点实验室开放研究项目(2025SZFZ004)

10.19907/j.0490-6756.240394

评论