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蔡其新 ,何佩军 ,秦广胜 ,秦亚玲 ,计平 ,孟凡冰 ,王锡文 .有限差分数值模拟的最小频散算法及其应用 .石油地球物理勘探 ,2 0 0 3,38(3) :2 4 7～ 2 5 1,2 6 2 有限差分法是求波动方程数值解的一种常用方法 ,但常规的有限差分法难以克服数值频散的干扰。在总结、分析前人工作的基础上 ,本文对有关技术做了整合和扩展 ,形成了有限差分的优化算法 ,主要内容包括高阶有限差分、优化差分参数和通量校正传输 (FCT)技术。与常规方法相比 ,本文方法既提高了波动方程正演的精度又减少了计算量 ,可广泛用于起伏地形和复杂地下地质构造的波场模拟和分析。通过对煤层模型和 BM工区进行正演模拟 ,验证了本文方法的有效性。
Cai Qixin, He Peijun, Qin Guangsheng, Qin Yaling, Ji Ping, Meng Fanbing, Wang Xiwen.Minimum frequency dispersion algorithm for finite difference numerical simulation and its application. Petroleum Geophysical Prospecting, 2 0 0 3, 38 (3): 2 4 7 ~ 2 5 1 The finite difference method is a common method to solve the numerical solution of the wave equation. However, the conventional finite difference method can hardly overcome the interference of numerical dispersion. On the basis of summarizing and analyzing predecessors’ work, the paper integrates and expands the related technologies and forms an optimal algorithm for finite difference. The main contents include high-order finite difference, optimized difference parameters and flux corrected transmission (FCT). Compared with the conventional method, this method not only improves the accuracy of wave equation forward modeling but also reduces the computational complexity. It can be widely used in the wave field simulation and analysis of undulating terrain and complicated underground geological structures. Through the forward modeling of coal seam model and BM work area, the effectiveness of the method in this paper is verified.