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基于煤层瓦斯渗流方程,通过虚粒子法处理边界条件,提出了一种对非均质煤层瓦斯瞬态渗流进行模拟的光滑粒子流体动力学(smoothed particle hydrodynamics,SPH)方法。煤层存在三个典型的非均质性:(a)沿煤层走向的非均质性,(b)Weibull随机分布的非均质性,(c)是(a)和(b)两种情况都存在的非均质性。结果表明:通过SPH方法得到的数值模拟解与解析解一致,三种非均质煤层都会导致瓦斯渗流的非线性行为。而瓦斯流动的非线性程度与煤层的非均质性参数m和n有关。该数值模拟提供了一种揭示煤层中瓦斯渗流和瓦斯灾害非线性行为机理的有效方法。
Based on the gas seepage equation in coal seam, a smoothed particle hydrodynamics (SPH) method was developed to simulate the transient gas flow in heterogeneous coal seam by using the virtual particle method to treat the boundary conditions. There are three typical heterogeneities in the coal seam: (a) the heterogeneity along the strike of the coal seam, (b) the heterogeneity of the Weibull random distribution, (c) both (a) and (b) Existence of heterogeneity. The results show that the numerical simulations obtained by the SPH method are consistent with the analytical solutions. All three heterogeneous coal layers lead to the nonlinear behavior of gas seepage. The degree of non-linearity of gas flow is related to the coal seam heterogeneity parameters m and n. This numerical simulation provides an effective method to reveal the nonlinear behavior of gas seepage and gas disasters in coal seams.