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基于瓦斯径向渗流方程的有效抽采半径求解方法研究

发布时间:2018-09-04 07:50
【摘要】:为了提出一种简单快速求解有效抽采半径的方法,基于周世宁院士提出的瓦斯径向非稳定渗流方程,采用自模拟方法求出近似解析解,即径向流场瓦斯压力分布表达式,以此进一步建立有效抽采半径的数学表达式,研究表明:在无限流场条件下,有效抽采半径与抽采时间的平方根成正比,与抽采负压满足非线性的正相关关系;但不同抽采负压条件下,钻孔周围瓦斯压力分布规律差异较小,因此,可以采用简化的瓦斯压力表达式来近似反映径向流场的瓦斯压力分布规律。该近似解及有效抽采半径的表达式可以用来确定煤层瓦斯抽采的相关参数,通过相关实例验证了有效抽采半径表达式的准确性。
[Abstract]:In order to put forward a simple and fast method for calculating the effective extraction radius, based on the gas radial unsteady seepage equation proposed by Academician Zhou Shining, the approximate analytical solution, i.e. the expression of gas pressure distribution in radial flow field, is obtained by self-simulation method, and the mathematical expression of the effective extraction radius is further established. The results show that the effective extraction radius is in infinite flow. Under field conditions, the effective extraction radius is directly proportional to the square root of extraction time, and has a nonlinear positive correlation with negative pressure. However, under different negative pressure conditions, the gas pressure distribution around the borehole is less different, so a simplified gas pressure gauge expression can be used to approximate the gas pressure distribution rule reflecting radial flow field. The approximate solution and the expression of effective extraction radius can be used to determine the relevant parameters of coal seam gas extraction, and the accuracy of the expression of effective extraction radius is verified by relevant examples.
【作者单位】: 煤炭科学研究总院;煤炭科学技术研究院有限公司安全分院;
【基金】:国家科技重大专项资助项目(2011ZX05061)
【分类号】:TD712.6


本文编号:2221452

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