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工程科学与技术:2013,45(1):107-115
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基于改进积分型Richards方程的区域地下水饱和-非饱和水流耦合模型
(武汉大学 水资源与水电工程科学国家重点实验室)
A Regional Coupled Groundwater Model for Unsaturated-saturated Flow Based on Modified Integrated Richards Equation
(State Key Lab. of Water Resources and Hydropower Eng. Sci.,Wuhan Univ.)
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投稿时间:2012-05-21    修订日期:2012-10-02
中文摘要: 非饱和带水力参数强烈的非线性使得其数值模拟要求有较小的时间步长和空间网格,且模拟效率会受到边界条件的强烈影响,因此采用传统方法模拟区域饱和-非饱和地下水运动的成本非常高。针对该问题,将基于改进积分型Richards方程的1维非饱和水流模型同3维地下水模型相结合,建立耦合模型。非饱和带以含水量为变量,通过分离压力和水力参数变化对含水量空间变化的影响,提出了改进的积分型Richards方程模型,将该模型扩展于非均质土壤;应用控制体积有限元法建立3维地下水模型;通过2个模型的共有节点建立耦合。运用该耦合模型模拟了不同条件下的地下水流运动,并与软件Hydrus的计算结果进行了对比,两者间具有很好的一致性。本模型充分利用了积分型Richards方程的优势,可以更高效地模拟包含大气边界的区域地下水运动问题。
Abstract:The non-linearity of unsaturated flow requests small time step and fine grid in the corresponding simulation,and the simulation often suffers from some unfavorable boundary conditions.Therefore,it is time-consuming to simulate the regional unsaturated-saturated flow by traditional numerical methods.In view of this issue,a 1D unsaturated model based on improved integrated Richards’equation coupled with 3D saturated flow model was proposed for the simulation of regional groundwater flow.The soil moisture was taken as primary variable in vadose zone. By separating the effect on soil moisture variation from pressure head and soil parameters, an improved integrated Richards’ equation model was presented to calculate the unsaturated flow in heterogeneous soil.A 3D groundwater model was established with control volume finite element method.These two models were coupled by their mutual nodes.The comparisons between results from the proposed model and Hydrus showed good agreement. Moreover, the proposed model takes the advantage of integrated Richards’ equation,thus it is more efficient to simulate large-scale flow problem with atmospheric boundary.
文章编号:201200388     中图分类号:    文献标志码:
基金项目:国家“973”计划资助项目(2010CB428802);国家自然科学基金资助项目(51079101);国家建设高水平大学公派研究生项目
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查元源,朱焱,杨金忠.基于改进积分型Richards方程的区域地下水饱和-非饱和水流耦合模型[J].工程科学与技术,2013,45(1):107-115.
Zha Yuanyuan,Zhu Yan,Yang Jinzhong.A Regional Coupled Groundwater Model for Unsaturated-saturated Flow Based on Modified Integrated Richards Equation[J].Advanced Engineering Sciences,2013,45(1):107-115.