有限差分数值模拟的最小频散算法及其应用  

Minimum dispersion algorithm by finite-difference numeric modeling and its applications

作　　者：蔡其新[1] 何佩军 秦广胜[3] 秦亚玲[3] 计平[3] 孟凡冰[3] 王锡文[3] 

机构地区：[1]中国科学院地质与地球物理研究所 [2]中国石油物资装备集团 [3]中原油田

出　　处：《石油地球物理勘探》2003年第3期247-251,262,共6页Oil Geophysical Prospecting

摘　　要：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。The finite difference approach is common used algorithm for numerical solution of wave equation,but ordinary finite difference algorithm is difficult in overcoming the interference of numeric dispersion.On the basis of summarizing and analyzing the former methods,the paper integrated and expanded the relative techniques and got optimized finite difference algorithm,the main concepts includes high order finite difference,optimized difference parameters and Flax Corrected Transport (FCT) technique.Based on the algorithm,we wrote corresponding program ,improving precision of wave equation forward modeling and reducing computational effort in comparison with ordinary methods,which can be widely used for wave field modeling and analysis in relief topography and complex subsurface geologic structures and achieved satisfactory results in coal seam model and forward modeling in BM work area.

关 键 词：有限差分法 波动方程 地震模拟 最小频散算法 FCT 通量校正传输技术 

分 类 号：P631.41[天文地球—地质矿产勘探]