CAJ | 학술논문

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。
연구료제일류월류함수층계통중비완정정부근비체서삼류문제，득도주함수층추수정부근수위강심랍씨공간근사해석해급추수후기근사해석해。추수정부근주함수층중삼류개화경향삼류화수향삼류，경향삼류유우류속교대유비체서삼류공식Izbash공식래각화，수향삼류유우류속교소용체서정률표시，통과선성화방법간화비체서비선성항，연후결합Laplace변환화유한여현Fourier변환대수류모형진행구해。결과표명：주함수층중수위강심대칭우려수관중축선，차재중축선처최대；재추수후기，주함수층수위강심수착약투수층삼투계수적증대이감소，차수착Izbash공식중비체서경험지수n치증대，주함수층득도월류보급적수량감소。
The non-Darcian flow to a partially penetrating well in a first type leaky aquifer has been inves-tigated in this paper. Approximate analytical solutions of the drawdowns in the main aquifer were obtained, and an approximate analytical solution for the drawdowns at quasi steady state was also obtained. The flow in the horizontally radial direction is assumed to be non-Darcian and described by the Izbash equation;while the flow in the vertical direction is assumed to be Darcian. A linearization procedure associated with the Laplace transform and the finite Fourier cosine transform are used to solve this model. The results indi-cate that the drawdowns along the vertical direction are symmetric around the well axis if the well screen is located in the center of the aquifer,where the largest drawdown is appeared. At the late stage of pump-ing, the drawdowns decrease with the increase of the aquitard hydraulic conductivity, and the leakage de-creases with the increase of the value of index n in the Izbash equation.