Application of the double absorbing boundary condition in seismic modeling

高精度双吸收边界条件在地震波场模拟中的应用（英文）

We apply the newly proposed double absorbing boundary condition（DABC）（Hagstrom et al., 2014） to solve the boundary reflection problem in seismic finite-difference（FD） modeling. In the DABC scheme, the local high-order absorbing boundary condition is used on two parallel artificial boundaries, and thus double absorption is achieved. Using the general 2D acoustic wave propagation equations as an example, we use the DABC in seismic FD modeling, and discuss the derivation and implementation steps in detail. Compared with the perfectly matched layer（PML）, the complexity decreases, and the stability and fl exibility improve. A homogeneous model and the SEG salt model are selected for numerical experiments. The results show that absorption using the DABC is considerably improved relative to the Clayton–Engquist boundary condition and nearly the same as that in the PML.

边界反射处理是地震数值模拟中需要研究的重要问题之一。本文将数学科学计算中提出的双吸收边界条件(DABC)(Hagstrom et al.,2014)应用到地震波场数值模拟中。该方法将一种局部高精度吸收边界(ABC)应用于两条平行的人工边界上,从而实现对边界反射的双吸收。本文以二维声波方程为例,设计一个基于DABC的有限差分(FD)正演方案,给出详细推导过程和实现步骤,相对于完全匹配层(PML),其理论分析和实现难度大大降低,稳定性和灵活性亦得到一定程度的增强。文章最后对典型的均质模型和SEG盐丘模型进行有限差分数值模拟实验,实验结果表明,DABC能够得到远远优于Clayton-Engquist边界条件(CEBC)的吸收效果,并与PML吸收效果相当。