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本文根据质量守恒定律、Fick第一扩散定律和Boussinesq假设导出了井巷污染物紊流传质的通用数学模型及纵向(?)散模型。针对井巷各种污染源的不同释放规律给出了九种源函数,从理论上导出了井巷污染物紊流传质过程的紊流(?)散系数,其大小与井巷摩擦阻力系数的平方根、井巷水力半径和断面平均风速成正比,还给出了弥散模型的通解,指出井巷紊流传质的实验研究必须满足Reynolds相似。
Based on the law of conservation of mass, Fick’s first law of diffusion and the Boussinesq assumption, a general mathematical model and a longitudinal dispersion model for turbulence and mass transfer of wellbore pollutants are derived. Nine kinds of source functions are given according to different release laws of various pollution sources in the shaft. The turbulence coefficient of turbulence and mass transfer of pollutants in the shaft is derived theoretically. The size and the square root of friction coefficient The radius of hydraulic radius of mine is proportional to the average wind speed of cross section. The general solution of dispersion model is also given. It is pointed out that the experimental study of turbulent mass transfer in well lane must meet the similarity of Reynolds.