地下水水平井流的模型及数值模拟方法——考虑井管内不同流态

A New Model of Groundwater Flowing to Horizontal Well and the Numerical Simulation Approach

评述用线汇刻画水平井管可能存在的问题 ,并用理想模型证明 .提出考虑井管不同流态 (线性流与非线性流 )水流阻力的水平井流的模型 ,并将内边界取在水平井的出水口处 ,避免了采用线汇刻画水平井管时假定其流量分布和水头分布的困难 .运用作者提出的等效渗透系数的概念与确定方法 ,将水平井 -含水层系统视为含有圆柱形透镜体的非均质含水层 ,给出新的水平井流的数学模型 .求解了一个理想模型 ,得出河下水平井开采地下水的动态 .

This paper points out the possible problems in using line sink to describe a horizontal wellbore. It presents a new model to describe a horizontal well with consideration of different flow regions and the laminar and turbulent flow, i.e. linear and nonlinear flow inside the pumping well. Hence, it sets up the inner boundary at a point where water flows out. As it does not need flux or head distribution along the horizontal well, it may avoid the difficulty in using the line sink assumption. This paper uses an 'equivalent hydraulic conductivity' concept and its determined approach to treat the horizontal wellbore, which treats the aquifer horizontal well system as a heterogeneous medium with a cylinder lens. It also provides a mathematical model and numerical simulation to solve the flow problem. A sample of a horizontal well pumpage underneath a river is calculated to illustrate the presented model and numerical method and the simulation results of groundwater behavior are indicated.