地下水非稳定流优化模型(有限单元和线性规划相结合)

• 作 者: 陈雨孙 刘春平
• 机 构: 城乡建设环境保护部综合勘察研究院,
• 出 处: 工程勘察
• 发表日期: 1986年05期
• 关键词: 非稳定流 地下水开采量 非均质 降深 含水层厚度 最优化问题 储存量 计算机容量 有限单元法 降落漏斗

有限单元法和线性规划相结合,以解决地下水稳定流的最优化问题在国外已有不少研究。但非稳定流问题的规划由于矩阵阶数过大而受计算机容量的限制,很难推广到实际应用中。本文从均质有界含水层中非稳定降落曲面解析解出发,得到有界非均质含水层中常流量开采降落曲面各点降速相等的降深——时间关系式,从而可在某一阶段规划中,只要规定每个时段的约束条件不变,就可只优化少数阶段的降落曲面后按这关系式

Finite element method combined with linear programming to solve the problem of optimization of groundwater steady flow in foreign countries have been many studies. However, the unsteady flow problems due to the matrix order is too large and limited by the computer capacity, it is difficult to generalize to practical applications. In this paper, from the analytic solution of unsteady landing surface in a homogeneous bounded aquifer, the declining depth-time relationship of the landing velocity at each point of the normal flow mining surface in a bounded heterogeneous aquifer is obtained, so that at a certain stage Planning, as long as the constraints of each period of the same constraints, you can only optimize a few stages of the landing surface according to this relationship