非均匀各向同性介质中声波传播的盒式积分法模拟Box Integration Analog for Acoustic Travel Heterogeneous Isotropic Medium
孟凡顺,李清仁,张绍亮,黄伏生
MENG Fan-shun; et al.(China Marine University;Qingdao 266003; China);
摘要(Abstract)：
利用积分差值法,将运动方程、自由边界条件上的吸收边界条件进行积分,根据高斯定理,得出二维非均匀各向同性介质中的声波传播的二阶显式格式。避免了不准确的二阶中心差分算子,对自由表面、人工边界及交接层面可以方便且精确处理。编制了声波方程的数值模拟程序,针对几种典型的地质模型,相应的计算了声波的数值模拟结果。
With the application of integration differential method, the kinematic equation and absorption boundary under free boundary condition are integrated. Based on Gauss theorem, the second order display format for acoustic travel in 2D heterogeneous isotropic medium is obtained. According to this method, the free surface, artificial boundary and interface can be processed easily and accurately. The numerical analog program for acoustic equation is established. Focusing on several geologic models, the numerical analog results of acoustic wave are calculated.
关键词(KeyWords)：
非均匀各向同性;数值模拟;吸收边界条件
heterogeneous isotropy; numerical analog; absorption boundary condition
基金项目(Foundation): 国家自然基金项目40174030资助。
作者(Authors):
孟凡顺,李清仁,张绍亮,黄伏生
MENG Fan-shun; et al.(China Marine University;Qingdao 266003; China);
参考文献(References)：
- [1]付承义,陈运泰,祁贵仲.地球物理学基础[M].北京:科学出版社,1985.
- [2]何樵登.地震波理论[M].北京:地质出版社,1988.
- [3]熊 翥.我国物探技术的进步及展望[M].石油地球物理勘探,2003,38(6):701706.
- [4]CLAYTONRW,ENGQUISTB.Absorbingboundaryconditionsfora cousticandelasticwaveequations[J].BullSeisSocAm,1977,67:15391540.
- [5]ENGQUISTB,MODIAA.Radiationboundaryconditionforacoustic andelasticwavecalculations[J].Comm.PureAppl.math.,1979,32:313357.
- [6]SOCHACKIJS,KUBICHECK,GEORGEJ,FLETCHERWR,SMITHSONS.Absorbingboundaryconditionsandsurfacewaves[J].Geophysics,1987,52:6071.