基于格子Boltzmann方法的多孔介质流体渗流模拟

Simulation of Fluid Seepage in Porous Media Based on Lattice Boltzmann Method

渗流的工程应用十分广泛,并且渗流问题具有较好的科研价值。本文采用格子Boltzmann方法,分别从宏观尺度上和微观尺度上来研究多孔介质中流体渗流问题。在宏观尺度上,研究了煤矿开采过程中的回采工作面瓦斯渗流问题,得到了不同时刻非均质煤层中的瓦斯压力分布和流速分布,这些数据的掌握有助于指导煤矿安全生产,并且证明了格子Boltzmann方法可以成功模拟工程上大尺度渗流问题。在微观尺度上,采用格子Boltzmann方法以及反弹边界处理格式,研究了压力差驱动下多孔介质中流体渗流问题,得到多孔介质中流体的压力分布和流线图,证明了采用反弹边界处理格式,可以有效模拟微尺度渗流问题。

The seepage has a wide range of engineering applications, and the seepage problem has good scientific value. Using the lattice Bohzmann method, fluid seepage problems in porous media are studied, respectigely from the macro scale and micro scale. On macroscopic scale, coal mining face gas seepage problems in the process of coal mining are studied, the gas pressure distribution and velocity distribution of coal seam with a heterogeneous permeability at different moments are obtained, our studies proved that the lattice Bohzmann method can successfully simulate the large-scale en- gineering seepage problem. On microscopic scale, using the lattice Boltzmann method and the bounce-back boundary condition, the fluid seepage problem in porous media driven by the pressure difference is studied, the pressure distribu- tion and streamlines map of fluids in porous media are obtained, it prove that the bounce-back boundary condition can effectively simulate the microscale seepage problem.