摘要
本文以河南汝河中段河谷浅层地下水系统为例,重点介绍了一种地下水系统最优开采数值模型。该模型是一种地下水流系统水均衡模型和线性规划模型的耦合。水均衡模型采用强隐式有限差分法(SIP)求解,以解决技术函数及地下水流系统势能分布问题;线性规划模型以总开采量最大作为目标函数,以流量及技术函数组成的响应矩阵作为约束条件,用单纯形法求解。该模型能比较快地解决多节点、薄层潜水含水层中地下水最优开采的规划问题,能提供最优开采方案及最优开采量等信息。
Giving an example about the groundwater system of the shallow of the Henan Ruhe middle reach, this paper has mainly introduced a numerical model of optimal development of the groundwater system. This model is made up of the water balance model of the groundwater flow system and the linear programming model. The water balance model is solved with the SIP-Finite Difference method so as to compute the technological functions and the potential energy ditribution of the groundwater system. The linear programming model (optimal development model) takes the total yield
as an object function and the Response Matrix made of the
technological function and the flow amount as a constraint. This model is solved by the Simplex method.
With this model the programming problem about the optimal yield of the groundwater from the multinodal points and the thin phreatic aquifer can be solved sooner, and the information about the optimal yield programm and the optimal yield amount will be provided.
关键词
地下水
开采
数值模型
水均衡模型
water balance model, linear programming model, object function, constraint, technological function, optimal development numerical model, groundwater system
