【摘要】 本文建立了地下水运动的流函数和势函数剖面二维流数学模型,并求得了它们的有限差分数值解。以此为基础对济南岩溶区地下水水流系统进行了模拟研究,分析了岩溶地下水径流场的空间变化规律和作用因素,划分了水流系统,从而加深了对济南岩溶区地下水运动规律的认识。更多还原

【Abstract】 Two numerical simulation models of ground water flow systems are given in the paper. One is based on the flow function representation of ground water motion and the other is on the potential function. These two mathematical models are presented respectively as following:Flow function modeL:Potensial function model:where, ψ, are flow function and potential function respectively; Γ, Γ1, Γ2 represent boundaries;,K ,K are permeabilities;V ,V ,velocities.Above mathematical models are solved by utilization of finite difference numerical, method, A computer program is also created which not only outputs the calibration results as data file,but also shows ground water flow pattern on the computer screen or to a ploter in the form of image. The above models and program are applied to simulate and analyze the flow systems of Jinan karst area,China. First .the change of permeability with depth in the karst area is ana lyzed and a statistics equation is set up on the basis of more than 157 pumping sest recorded in about 400 bore hole driling recordings. Second,ground water flow pattern change with depth is analyzed. We find that karst water flow in Jinan area is concentrated in the zone from water table to the depth of 250-300m. From water table down to the deep ground. ground water flow velocity decreases. Ground water below the depth of 250-300m is in the state of stagnant. Third,karst water flow systems change in space is discussed. We find that the vertical ground water flow contributes a very important part in the overall ground water flow systems and can not be neglected in the ground water modelling,which,unfortunately, was neglected in the past ground water modelling of the area. Finally, the importance of di vides in karst area and the role of aquiclude of Gushan Formation in karst water flow systems are disccussed. After the analysis and simulation of ground water flow systems of Jinan area, we conclude that many quantitative hydrogeoiogic work like building up distributed parameter of ground water simulation model should be based on the ground water flow systems analysis if accurate and effecitive results are expected.更多还原