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在水文地质工作中,给水度和含水量是水资源评价中重要的参数。为了获得准确的给水度和含水量,必须提高抽水试验或疏干漏斗体积的计算精度。本文试用随机理论去分析和探讨,给出一种计算疏干漏斗体积的新方法。一、模型的建立我们假定在均质无限潜水含水层中,由于地下水在颗粒均匀,磨圆度较好的松散层中运动是服从随机规律的(即空间中一点上是介质颗粒还是水质点不能事先确定;水质点在下渗过程中流向各个方向的可能性相等,且不能事先确定流向何方),当抽水达到稳定,即降落漏斗地下水面趋干稳定,地下水面的数学表达式为(符号参见图1):
In hydrogeological work, water supply and water content are important parameters in the evaluation of water resources. In order to obtain accurate water supply and moisture content, the calculation accuracy of the pumping test or the drain funnel volume must be increased. In this paper, random theory is applied to analyze and discuss, and a new method for calculating the volume of drain funnel is given. First, the establishment of the model We assume that in the homogeneous infinite phreatic aquifer, because the groundwater moves in the loose layer with uniform particles and good roundness, it obeys the random law (that is, one point in the space is the media particle or the water quality point cannot It is determined in advance that the possibility of the water quality point flowing in all directions in the infiltration process is equal, and the flow direction cannot be determined in advance. When the pumping water reaches a stable level, the groundwater surface of the landing funnel tends to be stable, and the mathematical expression of the groundwater surface is (see symbol for illustration) 1):