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PeterMora为模拟复杂介质中的纵波，提出了声格固体模型，即在格子Boltzman模型基础上引入变速粒子而建立的细胞自动机模型，从而为利用这种方法模拟地震波场奠定了理论基础。文中简要介绍了PeterMora的声格固体模型的基本理论框架及差分算法，同时还介绍了黄联捷的插值算法。笔者的工作在于提出吸收边界的处理方法，并给出一个非均匀介质模型的数值模拟结果。由于此法允许在每个网格点上的状态可同时更新，因而适合在大型并行机上实现。对于波阻抗和形状变化剧烈的介质，不必作渐变和平滑处理，表明该法是有潜力的。
In order to simulate longitudinal waves in complex media, Peter Mora proposed a solid lattice model, which is a cellular automata model based on the lattice Boltzman model, which is based on the introduction of variable-speed particles. This provides a theoretical basis for the simulation of the seismic wave field by this method. This paper briefly introduces PeterMora's basic theory frame and difference algorithm of solid model of sound lattice, and also introduces Huang Lianjie's interpolation algorithm. The author's work is to put forward the treatment method of absorbing boundary and give the numerical simulation results of a heterogeneous medium model. This method is suitable for large-scale parallel machines because this method allows the status at each grid point to be updated at the same time. There is no need for gradients and smoothing for media with dramatic changes in wave impedance and shape, suggesting that this method has potential.