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地下水降落漏斗由人工开采地下水形成,并引起一系列环境问题,控制地下水开采量对开发利用水资源具有重要意义。运用灰色数值模型来研究地下水的计算问题已取得了一定成果,但目前尚未见研究地下水降落漏斗区的灰色数值模拟问题。本文借助灰色系统理论,将含水层导水系数、贮水系数以灰数形式表示,在推导了地下水流基本灰色有限差分方程的基础上,针对地下水降落漏斗区的流场特点,构建其灰色数值模型,建立灰色数值模拟方法;并将该方法应用于地下水降落漏斗区的一个具体计算中,把计算结果与经典数值模型计算结果进行了对比,分析了地下水降落漏斗区灰色数值模型的特点,对科学评价地下水资源具有积极作用。
Groundwater descending funnel formed by artificial exploitation of groundwater, and cause a series of environmental problems, control of groundwater exploitation of the development and utilization of water resources is of great significance. Some achievements have been made in using gray numerical model to study the groundwater calculation. However, no research has been done on the gray numerical simulation of the groundwater dropping funnel. Based on the gray system theory, this paper presents the aquifer water-conducting coefficient and water-storage coefficient in the form of greyscale. Based on the derivation of the basic gray finite difference equation of groundwater flow and the characteristics of the flow field in the funnel, Model and establish a gray numerical simulation method. The method is applied to a concrete calculation of the groundwater falling funnel area. The calculation results are compared with those of the classical numerical model, and the characteristics of the gray numerical model of the groundwater fall funnel area are analyzed. Scientific evaluation of groundwater resources has a positive effect.