二维频率空间域声波数值模拟及其应用  

2-D Acoustic Wave Numerical Simulation and It's Application in Frequency Space Domain

作　　者：廖建平[1,2] 王华忠[3] 杨天春[1] 王齐仁[1] 刘新华[1] 

机构地区：[1]湖南科技大学土木工程学院地质系,湖南湘潭411201 [2]湖南科技大学煤炭资源清洁利用与矿山环境保护湖南省重点实验室,湖南湘潭411201 [3]同济大学海洋地质国家重点实验室,上海200092

出　　处：《新疆石油地质》2011年第6期650-652,共3页Xinjiang Petroleum Geology

基　　金：国家863项目(2006AA09Z323);国家"高等学校特色专业建设点"基金(TS11027)

摘　　要：采用嵌套剖分法存储有限差分离散频率空间域声波波动方程所形成的大规模稀疏系数矩阵,极大地减少了对计算机内存需求和计算量。使用二维频率空间域声波多炮快速模拟计算流程,提高了数值模拟的计算速度。详细分析讨论了频率域正演模拟时所出现的震源奇异性问题,并提出了相应的解决措施,理清了频率空间域声波数值模拟时正确选取参数的原则。通过对胜利油田有代表性的复杂地质构造速度模型的数值模拟试验,证明嵌套剖分法具有占计算机存储量少、计算速度快、计算效率高等优势,完全能够用于模拟实际资料。Adopting the nested-dissection method to store the acoustic wave equations for finite difference dispersion frequency space domain can shape large scale sparse coefficient matrix,which can decrease the requirement of computer capacity and reduce the computing amount greatly.Using the fast computational procedure of multi-shot acoustic wave simulation in 2-D frequency space domain can also increase the computing velocity of numerical simulation.In this paper,the hypocenter singularity problem from the frequency domain forward modeling is analyzed and discussed in detail,and corresponding solved measures are proposed,clarifying the principle for correct selection of parameters during such a numerical simulation.The results of numerical simulation experiments on the velocity model of representative complex geologic structures in Shengli oilfield demonstrate that the nested-dissection method has many advantages compared to compressed storage format,such as saving huge storage and computing time and high computing efficiency,etc.,and it can be definitely used to simulate real data.

关 键 词：嵌套剖分法 有限差分 频率空间域 稀疏矩阵 震源奇异性 

分 类 号：P631.445[天文地球—地质矿产勘探]