中文摘要：

为了能用格子Boltzmann方法来正确地刻画致密多孔介质中微尺度流动问题，对单通道模型进行推广，并将其应用于孔隙群里气体渗流的数值模拟．通过对部分具有代表性的多孔介质中的实际流动问题进行模拟，研究渗透率与平均压力和Knudsen数之间的相互关系．基于理论分析及相关文献中的试验结果，验证模拟结果，为用格子Boltzmann方法深入研究气体渗流问题奠定基础．

英文摘要：

In order to describe microscale flows in compact porous media with lattice Boltzmarm method, we extend a model proposed by Guo et al designed for micro gas flows in a single channel to porous medium. The extended model is used to simulate two simplified porous structures. Dependence of permeability on Knudsen number and averaged pressure is studied and analyzed theoretically. Simulated results are consistent with experimental results reported. It shows that the lattice Boltzmann method can serve as a promising tool for simulating gas flows through a compact porous medium.