基于LB方法裂隙煤体瓦斯渗流模拟及软件开发
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摘要
裂隙煤体瓦斯运移规律是煤矿井下瓦斯突出及煤层气抽放的基础。但由于裂隙煤体瓦斯渗流运动的复杂性,很难用传统的实验和理论方法对它进行精确研究。发展数学模型和数值方法,这是当今瓦斯渗流力学研究的主要方向之一。LB方法是一种简化的基于微观尺度层次上的计算模型,它不是对宏观的连续方程直接进行离散化,而是从微观模型和某些细观动力学方程出发,在对物理系统细观运动描述的基础上,建立直接模拟物理系统演化的格子气模型。物理系统的宏观特性直接由模型的演化方程来计算,从而建立了宏观物理量与细观结构运动演化的相互联系。本文利用LB方法对裂隙煤体瓦斯渗流问题进行了初步的探索,主要工作包括以下几个方面:
(1)在总结前人研究的基础上,完成了从不可压LB模型到渗流力学的宏观控制方程Navier-Stokes方程组的推导。
(2)利用MATLAB7.0软件的图形化用户界面,开发了模拟裂隙煤体瓦斯渗流的GS-LBM系统,对低渗透率裂隙煤体瓦斯渗流进行了动态模拟。
(3)利用GS-LBM系统,对裂隙煤体瓦斯抽放时渗流规律进行了模拟,得出的抽放压力、开单口孔径大小、开口位置和对称开双口位置等因素对瓦斯抽放效果的影响,具有实际的指导意义。
The gas seepage flow rules through fissured coal are the foundation of gas outburst and drainage in coal mine. However, gas seepage flow rules through fissured coal are so comp -licated that it is very difficult to study them accurately by traditional experimental and theore -tic means. Developing math models and numerical analysis methods becomes one of the main directions of study on gas flow mechanics through porous media. Lattice Boltzmann method is a kind of simplified numeration model based on microcosmic level, which is not based on discretizations of the macroscopic continuum equations, it sets up lattice gas model based on description of physics system mesoscopic motion from microcosmic model and mesoscopic kinetic equations. The characters of physics system are computed by the evolvement of lattice Boltzmann model, which founds the tie of macroscopic physics quantities and mesoscopic motion. The problem of gas seepage flow rules through fissured coal is explored elementarily, main progress includes the four parts:
(1) On the summarizing previous studies foundation, the macroscopic control equations Navier-Stokes equations for mechanics in porous media flow are obtained from lattice Boltzmann model for incompressible flows through porous media.
(2) Simulation software for gas seepage in fissured coal based on lattice Boltzmann methd (GS-LBM) is exploited by using Graphical User Interfaces (GUI) of MATLAB7.0,which can present the dynamic simulation course of gas seepage in fissured coal.
(3) Using GS-LBM system, the gas drainage seepage rules through fissured coal are simulated, the directive conclusion what are the effects of gas drainage pressure the single pore aperture the pore position and symmetrical two pores position on gas drainage purpose.
(1)在总结前人研究的基础上,完成了从不可压LB模型到渗流力学的宏观控制方程Navier-Stokes方程组的推导。
(2)利用MATLAB7.0软件的图形化用户界面,开发了模拟裂隙煤体瓦斯渗流的GS-LBM系统,对低渗透率裂隙煤体瓦斯渗流进行了动态模拟。
(3)利用GS-LBM系统,对裂隙煤体瓦斯抽放时渗流规律进行了模拟,得出的抽放压力、开单口孔径大小、开口位置和对称开双口位置等因素对瓦斯抽放效果的影响,具有实际的指导意义。
The gas seepage flow rules through fissured coal are the foundation of gas outburst and drainage in coal mine. However, gas seepage flow rules through fissured coal are so comp -licated that it is very difficult to study them accurately by traditional experimental and theore -tic means. Developing math models and numerical analysis methods becomes one of the main directions of study on gas flow mechanics through porous media. Lattice Boltzmann method is a kind of simplified numeration model based on microcosmic level, which is not based on discretizations of the macroscopic continuum equations, it sets up lattice gas model based on description of physics system mesoscopic motion from microcosmic model and mesoscopic kinetic equations. The characters of physics system are computed by the evolvement of lattice Boltzmann model, which founds the tie of macroscopic physics quantities and mesoscopic motion. The problem of gas seepage flow rules through fissured coal is explored elementarily, main progress includes the four parts:
(1) On the summarizing previous studies foundation, the macroscopic control equations Navier-Stokes equations for mechanics in porous media flow are obtained from lattice Boltzmann model for incompressible flows through porous media.
(2) Simulation software for gas seepage in fissured coal based on lattice Boltzmann methd (GS-LBM) is exploited by using Graphical User Interfaces (GUI) of MATLAB7.0,which can present the dynamic simulation course of gas seepage in fissured coal.
(3) Using GS-LBM system, the gas drainage seepage rules through fissured coal are simulated, the directive conclusion what are the effects of gas drainage pressure the single pore aperture the pore position and symmetrical two pores position on gas drainage purpose.
引文
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22. Rakotomalata N, Salin D, Watzky P. Simulations of viscous flows of complex fluids with a Bhatnagar, Gross and Krook lattice gas[J]. Phys. Fluids., 1996, 8:3200-3202.
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