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研究了第一类越流含水层系统中非完整井附近非达西渗流问题,得到主含水层抽水井附近水位降深拉氏空间近似解析解及抽水后期近似解析解。抽水井附近主含水层中渗流概化径向渗流和垂向渗流,径向渗流由于流速较大由非达西渗流公式Izbash公式来刻画,垂向渗流由于流速较小用达西定律表示,通过线性化方法简化非达西非线性项,然后结合Laplace变换和有限余弦Fourier变换对水流模型进行求解。结果表明:主含水层中水位降深对称于滤水管中轴线,且在中轴线处最大;在抽水后期,主含水层水位降深随着弱透水层渗透系数的增大而减小,且随着Izbash公式中非达西经验指数n值增大,主含水层得到越流补给的水量减小。
The non-Darcy seepage near non-complete wells in the first type of over-flow aquifer system is studied. The approximate analytic solution of Laplace space near the main aquifer aquifer and the approximate analytic solution in the later stage of pumping are obtained. The seepage flow in the main aquifer near the pumping well is generalized to radial and vertical seepage. The radial flow is characterized by Izbash formula of non-Darcy seepage flow because of the large flow rate. The vertical seepage flow is expressed by Darcy’s law because of the small flow rate, The linearization method simplifies non-Darcy nonlinear terms, and then combines the Laplace transform with the finite-cosine Fourier transform to solve the water flow model. The results show that the depth of water level in the main aquifer is symmetrical with respect to the center axis of the drainage pipe and is the largest at the central axis. In the late pumping stage, the water depth of the main aquifer decreases with the increase of the permeability coefficient of the aquitard, With the Izbash formula, the n-value of the non-Darcy experience index increases, and the amount of water that the main aquifer receives more current and recharges decreases.