煤层注水非线性渗流方程的解析解及应用
The Analytic Resolutions and Applications of the Non-LInear Seepage Flow Equations of Coal Infusion
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摘要: 本文运用流体力学,多孔介质流体动力学,渗流理论等理论知识,结合实验室和现场试验,从理论上对煤层注水预湿煤体机理进行了研究.分析了煤层注水过程,建立起了煤层注水的数学模型;对煤层注水的边界条件进行了描述.由于描述煤层注水的方程组为非线性的,为简化它们,利用了因次分析理论,引入了注水压力,渗透速度,煤水份增加量等无因次量.之后讨论了其解析和近似解.另外:结合实际煤层注水的科研项目,说明了该理论指导煤层注水及设计的作用和重要性.Abstract: In this paper.the author uses the theory of fluid mechanics.dynamics of fluids in porous media,gas seepage flow in coal seams and combines the tests in the laboratory with the actual coal infusion to have an investigating and study from the theory to the mechanism of coal infusion to wet coal seams.Through the analysis to the process of coal infusion the author builds up the mathematical models and has a detailed discussion to the boundary conditions of coal infusion.Because the equation sets to describe coal infusion are non-linear.we have made a simplification to them to use the dimension analysis theory by leading into the non-dimensions of water pressure of coal infusion,seepage flow rate.increment of coal seam moisture and so on Besides the analytic and approximate solutions have also been discussed.At last.we use the scientific research item of the actual coal infusion to illustrate the effects and importance of the theory to direct actual coal infusion and its designs.
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Key words:
- coal infusion /
- seepage flow /
- permeation equation /
- water infusiondestproof /
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[1] R.E.科林斯,《流体通过多孔材料的流动》,石油工业出版社,北京(1984). [2] 周世宁,瓦斯在煤层中流动的机理.煤炭学报,115(1),15-24. [3] J.贝尔,《多孔介质流体动力学》,中国建筑工业出版社(1983). [4] 煤科总院重庆分院,缓倾斜中厚煤层综采工作面综合防尘技术的研究鉴定资料(1989). -
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