地下水降落漏斗区的灰色数值模型研究  

Study on grey numerical model for the area of groundwater depression cone

作　　者：李树文[1] 张大龙[1] 景成虎[2] 王平[1] 

机构地区：[1]河北工程大学,河北邯郸056038 [2]河北省地矿局第一地质大队,河北邯郸056001

出　　处：《工程勘察》2013年第4期35-38,共4页Geotechnical Investigation & Surveying

基　　金：河北省自然科学基金(D2010001005)的资助

摘　　要：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。The groundwater depression cone is formed from the artificial exploitation of groundwater which brings a series of environmental problems.There is the great significance to control groundwater exploitation for the development and utilization of water resources.The study on the groundwater calculation has gotten some achievements by means of the grey numerical model,but there is not the simulation for the groundwater depression cone with the model.Therefore,the transmissivity and the storativity of aquifer are expressed in the grey number form according to grey system theory,and the basic grey finite difference equation of groundwater flow is derived.Aim to the special flow field of the cone,the grey numerical model is put forward and the simulating method with the model is established.The method is applied to a calculation case,and the calculation results are compared with the classical numerical results,which illustrate the characteristics of the grey numerical model.

关 键 词：降落漏斗 灰色数值模型 灰色有限差分 基本方程 经典数值模型 

分 类 号：P641.2[天文地球—地质矿产勘探]