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基于裂隙网络模型的地下水数值模拟误差分析
引用本文:刘泽俊,黄勇,周志芳. 基于裂隙网络模型的地下水数值模拟误差分析[J]. 人民长江, 2016, 47(5): 85-89. DOI: 10.16232/j.cnki.1001-4179.2016.05.019
作者姓名:刘泽俊  黄勇  周志芳
作者单位:1. 淮阴工学院 建筑工程学院,江苏 淮安,223001;2. 河海大学 地球科学与工程学院,江苏 南京,210098
基金项目:江苏省高校国内高级访问学者进修项目;江苏省住建厅科技项目(2014JH20);淮安市科技项目(HAS2014021-2)
摘    要:以二维裂隙网格中地下水流动数值模拟问题为例,分析了其模型误差、观测误差和计算误差。首先给出了该二维地下水问题的解析解,然后详细讨论了数值模型的解法及其误差。计算结果表明,线素法较有限元法误差更小,同时求解大型线性方程组时,应采用置大数法。最后以裂隙宽测量为例,讨论了观测误差对水头计算结果的影响。分析认为,前期准确可靠的地质勘察,是后期提高数值模型模拟精度的前提条件和重要保证。

关 键 词:数值模拟   误差分析   模型误差   地下水  

Error analysis of groundwater numerical simulation based on fissure network model
LIU Zejun;HUANG Yong;ZHOU Zhifang. Error analysis of groundwater numerical simulation based on fissure network model[J]. Yangtze River, 2016, 47(5): 85-89. DOI: 10.16232/j.cnki.1001-4179.2016.05.019
Authors:LIU Zejun  HUANG Yong  ZHOU Zhifang
Affiliation:LIU Zejun;HUANG Yong;ZHOU Zhifang;Huaiyin Institute of Technology;School of Earth Science and Engineering,Hohai University;
Abstract:Aiming at the problem of underground flow in 2D fissure network, the model error, measuring error and computation error are analyzed. The analytical solution of the 2D underground flow issue was given, and the numerical solution method and its error are further discussed in detail. The computation results show that the error of line element method is smaller than that of FEM, and the method of laying large coefficient is recommended in the solution of large linear equations. The influence of measuring error on the computation results is discussed by taking the fissure width measurement as example. It is pointed out that the accurate geological exploration in early stage is an important guarantee and premise for increasing the accuracy of later numerical simulation.
Keywords:numerical simulation,error analysis,error of model  groundwater,
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