边界元算法在计算地球动力学中的应用

Applications of boundary-element method in computational geodynamics

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.

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.