基于双孔扩散模型的瓦斯扩散系数压力依赖特性数值分析研究

Numerical analysis of pressure-dependent characteristics of gas diffusion coefficient based on a bidisperse diffusion model

  • 摘要: 瓦斯扩散系数作为描述瓦斯在煤层中迁移能力的关键参数,其准确性对瓦斯运移的预测和控制有重要影响。现有的双孔扩散模型研究中,瓦斯扩散系数通常被视为常数,这忽略了煤体复杂孔隙结构中瓦斯扩散系数随气体压力的变化,导致瓦斯扩散系数与气体压力之间的关系至今尚未厘清。为深入探究煤体瓦斯扩散系数的压力依赖特性,采用理论分析与数值模拟相结合的方法,开展了不同粒径煤颗粒在不同吸附平衡压力条件下的瓦斯解吸实验,通过引入压力依赖扩散系数,建立了压力依赖的双孔扩散模型(EPBDM),并结合粒子群优化算法,对大孔、微孔的压力依赖扩散系数进行了反演;通过数值模拟和模型对比,分析了扩散系数的压力依赖特性及时空演化规律,并进一步对模型的可靠性和适用性进行了分析讨论。结果表明:①大孔、微孔扩散系数与相对瓦斯压力之间呈正相关关系;②对于同一粒径煤样,大孔扩散系数随初始平衡压力的增大而减小,微孔扩散系数随初始平衡压力的增大而增大,2者变化趋势相反;同时,随着煤样粒径的减小,大孔、微孔扩散系数均呈现减小的趋势;③在时间和空间尺度上,煤粒内部大孔、微孔扩散系数随解吸时间的增加而逐渐减小,且受压力变化影响,减小速度逐渐变缓,扩散系数总体呈现非均匀变化的特征;④与传统的双孔扩散解析模型(CBDM)相比,压力依赖的双孔扩散模型模拟结果与实验数据高度吻合,拟合效果明显更优,能更好地反映瓦斯扩散过程中大孔、微孔扩散系数的真实变化情况。研究成果可为深入揭示煤体瓦斯扩散机制提供理论和方法依据。

     

    Abstract: As a key parameter to describe the migration ability of gas in coal seam, the accuracy of gas diffusion coefficient has an important influence on the prediction and control of gas migration. In the existing bidisperse diffusion model, the gas diffusion coefficient is usually regarded as a constant, which ignores the change of gas diffusion coefficient with gas pressure in the complex pore structure of coal, resulting in the relationship between gas diffusion coefficient and gas pressure has not yet been clarified. In order to further explore the pressure-dependent characteristics of gas diffusion coefficient in coal, a combination of theoretical analysis and numerical simulation was used to carry out gas desorption experiments of coal particles with different particle sizes under different adsorption equilibrium pressures. By introducing the pressure-dependent diffusion coefficient, a pressure-dependent bidisperse diffusion model (EPBDM) was established, and particle swarm optimization algorithm was combined. The pressure-dependent diffusion coefficients of large and small holes are inverted; the pressure-dependent characteristics and spatio-temporal evolution of the diffusion coefficients are analyzed through numerical simulation and comparison with the model. The reliability and applicability of the model are further analyzed and discussed. The results show that: ① There is a positive correlation between the diffusion coefficients of large and small pores and the relative gas pressure; ② For the same particle size coal sample, the diffusion coefficient of large pores decreases with the increase of the initial equilibrium pressure, and the diffusion coefficient of small pores increases with the increase of the initial equilibrium pressure, and the change trend is opposite; At the same time, with the decrease of coal particle size, the diffusion coefficients of both large and micro-pores show a decreasing trend; ③ In terms of time and space scale, the diffusion coefficients of large pores and micropores in coal particles gradually decrease with the increase of desorption time, and the decreasing speed gradually slows down under the influence of pressure change, and the diffusion coefficients generally show non-uniform change characteristics; ④ Compared with the traditional bidisperse diffusion analytical model (CBDM), the simulation results of the pressure-dependent bidisperse diffusion model are highly consistent with the experimental data, and the fitting effect is obviously better, which can better reflect the real changes of the diffusion coefficients of large and small holes during the gas diffusion process. The research results can provide theoretical and methodological basis for further revealing the diffusion mechanism of coal gas.

     

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