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提出一种新的用于地震波场模拟的变网格边长声格固体模型(Phononiclatticesolidwithvariousgridlength,简称PLSVL模型).该模型通过改变不同介质中网格的边长来体现介质速度的变化,粒子在所有网格中的运动均保持每一步运行一个网格边长.详细推导了该模型的Boltzmann方程,证明该方程及其散射项的表达式与PLS模型相同,因而从该方程出发,可寻出宏观变量所满足的波动方程.新模型在同种网格内部的传输过程不存在误差,在界面产生的误差不会随时间而积累.本文同时给出了一个理论模型的波场模拟结果.
A new type of solid model with variable grid edge length lattice (PLSVL model) is proposed for seismic wavefield simulation. The model shows the change of media velocity by changing the side length of the mesh in different media. The motion of the particles in all the meshes maintains one side of the mesh at each step. The Boltzmann equation of the model is deduced in detail, and the expression of the equation and its scattering term is proved to be the same as the PLS model. From this equation, the wave equation satisfied by the macro-variables can be found out. The new model in the same kind of grid transmission process does not exist error, the error generated in the interface will not accumulate over time. This paper also gives a theoretical model of the wave field simulation results.