煤田地质与勘探2016，Vol.44Issue(5)：136-141,6.DOI:10.3969/j.issn.1001-1986.2016.05.026
求解声波方程的径向基函数无网格法
Numerical solution of the acoustic wave equation using meshless method with radial basis functions
摘要
Abstract
Seismic exploration has been widely used in oil and gas as well as coal exploration. Numeric modeling of the seismic wave field is the footstone of the overal seismic exploration technique. The paper, introducing the radial basis function(RDF) into the numeric modeling of seismic wave field, constructiong in space the second de-rivative by using the meshless method of the radial basis function, and in time domain using the simple second or-der difference formula, discussed emphatically the influence of the shape parameters(c) on the accuracy of the method, summed up the range of empirical value ofc of 2~4 times of the avarage interval of data points. Different models were designed, sonic wave field was simulated by using meshless method of radial basis function, and compared with the calculation results of the finite difference in four order space and two order time. The results show that at the same accuracy the number of data points taken by each wave length of the radial basis function was much less than the mesh points taken by each wave length of finite difference of rectangular mesh of four order space, that is, the spatial sampling rate of the radial basis function was lower, suggesting that the radial basis func-tion had smaller numerical dispersion.关键词
径向基函数/声波方程/波场模拟/无网格法Key words
radial basis function/sonic wave equation/simulation of wave field/meshless method分类
天文与地球科学引用本文复制引用
蒋婵君,王有学,李川,曾高福,贠鹏..求解声波方程的径向基函数无网格法[J].煤田地质与勘探,2016,44(5):136-141,6.基金项目
国家自然科学基金项目(41174077)；大陆构造与动力学国家重点实验室开放基金项目(k201505)@@@@National Natural Sciences Foundation of China(41174077)；Open Foundation of State Key Laboratory of Continental Tectonics and Dynamics of China(k201505) （41174077）
