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构建了越流含水层中抽水井附近非达西流动的两区模型,即距离抽水井较近的区域为非达西流,而相对较远区域为达西流,两区之间的临界半径可根据临界雷诺数确定.采用线性化近似方法和Laplace变换相结合分别得到了非达西流区域和达西流区域的水位降深在拉氏空间下的解析解,应用数值Laplace逆变换—Stehfest方法得到其在实空间下的水位降深,并与相应的全达西模型和全非达西模型进行了比较,结果表明:在抽水初期不同临界半径情况下非达西流区域的水位降深曲线互相重合,并与全非达西模型所得到的结果相吻合;在抽水后期的结果与全非达西流模型存在明显的差异.在抽水初期,非达西渗透系数kD越大,非达西流区域和达西流区域的水位降深越大;在抽水后期,kD越大,非达西流区域水位降深越小,而kD的变化对达西流区域的水位降深影响较小.越流补给在非达西流情况下对水位降深的影响与达西流情况下的结果基本类似,且只存在于抽水后期.考虑井储影响后,不同kD和越流补给因子BD情况下抽水初期井中的水位降深在双对数坐标表现为直线且相互重合.
A two-zone model of non-Darcy flow near the pumping wells in the aquifuge is constructed, that is, the non-Darcy flow is located close to the pumping well and the Darcy flow is relatively far away. The critical radius between the two zones Which can be determined by the critical Reynolds number.The linearized approximation method and the Laplace transform are combined to obtain the analytic solutions of the water level drop in the non-Darcy flow and the Darcy flow in the space of Laplace space respectively. Laplace inverse Laplace transform Method was used to obtain the water depth below the real space, and compared with the corresponding full Darcy model and the non-Darcy model. The results show that the water level in the non-Darcy flow area decreases at different initial critical intervals The curves coincide with those obtained by the non-Darcy model, and there is a clear difference between the post-pumping results and the non-Darcy flow model.In the early stage of pumping, the larger the non-Darcy permeability coefficient kD, In the later stage of pumping, the larger the kD is, the lower the water level in the non-Darcy flow area is, and the kD change has less effect on the water level drop in the Darcy flow area The more the current supply in non-Darcy The effect on the water level drop is basically similar to that in the case of Darcy flow, and exists only in the later stage of pumping. Considering the influence of well storage, the water level drop in the early pumping well under different kD and over-flow recharge factor BD Double logarithmic coordinates appear as straight lines and coincide with each other.