Application of grey numerical model to groundwater resource evaluation

Based on interval grey number theory, a grey numerical model was developed to simulate groundwater flow in two-dimensional porous-medium aquifer. The solution method proposed in this paper ensures the integrity and validity of the grey data transportation in the calculation processes. Because most of the parameters characterizing groundwater flow are of grey nature, a grey model can better describe the groundwater flow than the traditional white model. The method was applied to evaluate the sustainable groundwater resource in a groundwater basin of north China. The results from the case study help develop the most appropriate approaches to utilize the water resources in the area.