承压抽-注水群井共同作用下的水位解析解

Analytical Solution of Confined Water Head under the Combined Action of Pumping and Recharge Wells

基于镜像原理和势函数叠加原理,研究了无界承压含水层中完整抽-注水井群共同作用下地下水位的求解方法,推导了水流达到稳定状态及非稳定状态时的水位线计算式,提出承压完整井(群)非稳定抽(注)水时"影响半径"这一概念,并给出该影响半径以时间为自变量的函数表达式,通过一算例用解析的方法揭示了抽水-回灌耦合作用下承压水位曲线随时间的演变规律.

Based on the principle of mirror image and potential function superposition, the groundwater level solving method in unbounded confined aquifer under the simultaneous action of complete pumping-recharge well group is studied, and the water level calculation formula is derived when the flow reaches a steady state and unsteady state, then an concept of influence radius for completely penetrating well （group） unsteady pumping （recharge） in confined aquifer is proposed. Moreover, the influence radius function expression with time as an independent variable is given. Finally, through an example the evolution rule of confined water level curve over time is revealed with the coupling effect of pumping-recharge wells.