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中国科学院大学学报 ›› 2016, Vol. 33 ›› Issue (1): 89-96.DOI: 10.7523/j.issn.2095-6134.2016.01.014

• 地球科学 • 上一篇    下一篇

边界元算法在计算地球动力学中的应用

李忠海   

  1. 中国地质科学院地质研究所大陆构造与动力学国家重点实验室, 北京 100037
  • 收稿日期:2015-05-14 修回日期:2015-06-05 发布日期:2016-01-15
  • 通讯作者: 李忠海
  • 基金资助:

    国家自然科学基金(41304071)和科技部973项目(2015CB856106)资助

Applications of boundary-element method in computational geodynamics

LI Zhonghai   

  1. State Key Laboratory of Continental Tectonics and Dynamics, Institute of Geology, Chinese Academy of Geological Sciences, Beijing 100037, China
  • Received:2015-05-14 Revised:2015-06-05 Published:2016-01-15

摘要:

针对斯托克斯流体动力学问题, 详细介绍了其边界积分方程、多种边界条件下的格林函数构造、边界元算法的求解误差分析等基本方法和理论. 并介绍了该方法在板块俯冲动力学及俯冲带地震波各向异性方面的应用, 充分表明使用边界元算法可以灵活精确地处理地球动力学中的许多用其他方法难以解决的问题.

关键词: 边界元算法, 边界积分方程, 格林函数, 地球动力学

Abstract:

The boundary-element method (BEM) is widely used in the engineering and technology fields. However,applications of BEM in geosciences are relatively rare at the present. In this paper, we first describe the boundary-integral equations in Stokes flow problems with the Green's functions under several boundary conditions. Then, we discuss applications of BEM numerical modeling in plate subduction dynamics and subduction-zone seismic anisotropy. The results indicate that BEM can be used for solving many difficult problems in geodynamics.

Key words: boundary-element method, boundary-integral equation, Green' s function, geodynamics

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