地下水流系统的灰色数值仿真模拟-环境工程专业论文.docxVIP

万方数据 万方数据 A Dissertation Submitted to Hebei University of Engineering For the Academic Degree of Master of Engineering A Study on the Grey Numerical Model of Groundwater System Candidate ：Wei Jingxian Supervisor ：Prof. Li Shuwen Academic Degree Applied for ：Master of Engineering Specialty ：Environmental Engineering School/Department ：College of Urban Construction Hebei University of Engineering May，2008 摘 摘 要 万方数据 万方数据 摘 要 地下水流系统是一个由多种因素影响的复杂系统。从灰色系统理论出发 分析地下水流系统，建立较为客观的灰色数学模型，进行地下水流水位动态 变化的灰色数值模拟，对合理开发地下水资源有着重要的现实意义。 首先，进行了成安县近十几年的地下水水位数据的收集，掌握了成安县 地下水运动规律,提出地下水流系统概念，建立相应的地下水流水位变化微 分方程并通过有限差分方法对其进行离散，得到了承压二维非稳定流的有限 差分方程，并在计算机上实现计算过程，验证了数值模型的正确性。其次在 灰色数学理论基础上，分别就地下水流系统的概化与灰化、灰色模型建立、 模型检验与校正和模型应用几个方面作了比较清楚的分析，并 试算了两种灰 色解算方法，论证了灰色算法对灰信息传递的完备性和正确性，结果表明所 建立的灰色模型模拟效果较好。将此模型应用到成安县地下水流系统，利用 Visual Basic for Windows 编制计算程序，完成计算模拟和预测过程，使所建 立的灰色数值模型获得了较好的应用效果。 关键词：地下水流系统；数值模拟；灰色数值模型；灰色算法；概化与灰化 Ⅰ Abst Abstract Abstract Groundwater environment is a complex system with multi-factors. Based on grey system theory, groundwater systems are analyzed and in this paper an objective grey numerical model of groundwater level is built to simulate the trends of Cheng’an county, which has a crucial practical significance to exploit the groundwater resources with reason. First, the groundwater level in recent years (1996~2006) was collected, and the movement orderliness of thegroundwater line was mastered. Meantime a new conception, groundwater system is put forward, whose changing equation was built. By means of finite difference method, the differential equation of the groundwater is dispersed and got two-dimensional finite difference equation. Meanwhile we finished the calculation process by computer program and validated the correctness of the numerical model. In the respect of grey numerical model, introduced the basic theory of the grey mathematics, and analyzed these problems which were how to generalize and grey geohydrologic conditions, set up grey model, test and validate th