射线追踪数值模拟方法研究及效果分析
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摘要
地震波数值模拟方法是和地震波传播理论紧密结合在一起的。由于可以用射线理论、积分方程、微分方程来描叙地震波的传播,模拟方法也相应地有射线追踪方法、积分方程数值求解方法及微分方程数值求解方法。射线追踪方法通过求解程函方程计算地震波旅行时,通过求解传输方程计算地震波振幅。是以高频近似为前提,适合于物性缓变模型中地震波传播模拟,但不适合物性变化较大的模型中。其突出优点是模型简单,计算速度快。
Numerical simulation of seismic wave and seismic wave propagation is a closely combined theory.As seismic wave propagation can be described by ray theory,integral equations and differential equations,so the simulation methods are correspondingly of ray-tracing method,numerical solution of integral equation method and numerical solution of differential equations method.Ray-tracing method calculates the time of seismic waves travel by solving the eikonal equation and calculates seismic wave amplitude by solving equation of transfer equation.It takes similarity of high frequency as the premise and fits for ease of change of the model seismic wave propagation simulation,but not for the model with larger changes in physical characteristics.The conspicuous advantage is that computation is fast when the model is simple.
Numerical simulation of seismic wave and seismic wave propagation is a closely combined theory.As seismic wave propagation can be described by ray theory,integral equations and differential equations,so the simulation methods are correspondingly of ray-tracing method,numerical solution of integral equation method and numerical solution of differential equations method.Ray-tracing method calculates the time of seismic waves travel by solving the eikonal equation and calculates seismic wave amplitude by solving equation of transfer equation.It takes similarity of high frequency as the premise and fits for ease of change of the model seismic wave propagation simulation,but not for the model with larger changes in physical characteristics.The conspicuous advantage is that computation is fast when the model is simple.
引文
[1]Aki K,Richards P G.Quantitative Seismolog[M].Sausalito CA:University Science Books,2002.
[2]Cerveny V,Propov M M,Psencik I.Computation of wave fields in inhomogeneous media-Gaussian beam approac[J].Geophys J R,1982:50-80.
[3]孟小红.地质模型计算机辅助设计原理与应用[M].北京:地质出版社,2001:15-30.
[2]Cerveny V,Propov M M,Psencik I.Computation of wave fields in inhomogeneous media-Gaussian beam approac[J].Geophys J R,1982:50-80.
[3]孟小红.地质模型计算机辅助设计原理与应用[M].北京:地质出版社,2001:15-30.
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