摘要
为克服常规弹性波动方程正演结果的局限,研究了具有垂直对称轴的横向各向同性(VTI)介质中准P波方程的数值解法.首先从VTI介质中准P波方程出发,采用任意偶数阶精度有限差分算子构造了准P波方程数值求解的高阶有限差分格式,给出了其稳定性条件和边界条件的计算方法.为提高数值求解精度,引入通量校正算法压制数值频散,将震源置于各向同性介质内以消除准P波方程的误差解,在此基础上建立了VTI介质中准P波方程正演的数学模型.
To overcome the shortage of normal elastic wave forward modeling result, the numerical solution of quasi-P wave equations in transversely isotropic media with a vertical symmetry axis （VTI） was studied. Based on the quasi-P wave equations in VTI media, a high-order finite-difference scheme was derived by using an even-order accurate difference operator, the stability conditions and the absorbing boundary conditions were also provided. In order to improve the precision of numerical solution, a flux-corrected transport technique was introduced to suppress the numerical dispersion, and by placing the source in isotropic media the error solution of quasi-P wave equations was eliminated completely. Using all above techniques the mathematical model for quasi-P wave equations simulation was established.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
2006年第4期446-450,共5页
Journal of China Coal Society
基金
国家重点基础研究发展规划基金资助项目(2002CB211707)
关键词
VTI介质
准P波方程
正演
有限差分
数值频散
VTI media
quasi-P wave equation
forward modeling
finite-difference
numerical dispersion
