一种优化吸收边界条件

An optimized absorption boundary condition

地矿部石油物探研究所, 南京210014

Rescarch Institute of Gcophysical Prospecting for Petrolcum, MGMR, Nanjing City, Internal Postcodc: 210014

利用Fourier变换法和Hartley变换法进行正演模拟在求解波场时, 必须选用合适的边界条件, 以克服Fourier变换和Hartley变换数值解法中产生的周期折叠效应和边界反射问题。对于井间观测的正演模拟若用变换法实现, 其周期折叠效应和边界反射特别严重, 本文针对这一问题提出一种优化吸收边界条件。该边界条件与现行的边界条件相比具有效果好、计算效率高的特点。

Wave-field modeling by means of Fourier and Hartley transforms calls for appropriate boundary conditions in order to reduce periodic folding effects and boundary renections generated in the course of applying these transforms for numerical solutions, which proved especially severe in cross-hole observations using the transforms. In this paper, we put forward an optimized absorption boundary condition specifically designed for solving the above-mentioned problems.Practice shows that such boundary condition does work well in suppressing those artifacts as expected, the corresponding computational efficiency is significantly improved as well.