Acoustic VTI Wave Equation Modeling Based on SPML Theory Used Runge-Kutta Pseudospectral Method

摘要

In this paper,The Perfectly matched layered boundary absorbing of Runge-Kutta method and the applying of it in VTI wave modeling will be discussed.Begin with splitting acoustic VTI equation to a sum of serve independent components,which based on splitting perfectly matched layered theory,and inferring PML boundary absorbing equation of above components.Nextly,applying modified Runge-kuuta method to boundary absorbing equation,which is to deal with time items of above equation.In the meantime,we use pseudospecral method to solve various derivatives.It realized acoustic VTI wave field modeling based on SPML theory using Runge-Kutta pseudo-spectral method; Finally,the frequency dispersion and stability of this method have been inferred,and acoustic VTI wave field tests in homogeneous and layered medium will be carried out by us.The study has shown that,our method not only has some advantages about high-accuracy,strong practicability and flexibility,can remove qsv wave effectively,low-dispersion and strong stability and so on,and it is a effective wave modeling method,but it also has a characteristic of boundary absorbing thoroughly,and it also is a effective PML boundary absorbing method which matched modified Runge-Kutta method.