三维饱和-非饱和渗流场求解及其逸出面边界条件处理

朱岳明; 龚道勇

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三维饱和-非饱和渗流场求解及其逸出面边界条件处理

朱岳明, 龚道勇

文章导航 > 水科学进展 > 2003 > 14(1): 67-71

朱岳明, 龚道勇. 三维饱和-非饱和渗流场求解及其逸出面边界条件处理[J]. 水科学进展, 2003, 14(1): 67-71.

引用本文:

朱岳明, 龚道勇. 三维饱和-非饱和渗流场求解及其逸出面边界条件处理[J]. 水科学进展, 2003, 14(1): 67-71.

ZHU Yue-ming, GONG Dao-yong. Solution to 3-D unsteady saturated-unsaturated seepage problem and accurate treatment of saturated and unsaturated exit surfaces of seepage[J]. Advances in Water Science, 2003, 14(1): 67-71.

Citation:

三维饱和-非饱和渗流场求解及其逸出面边界条件处理

朱岳明¹,
龚道勇²

1.
河海大学水利水电工程学院, 江苏, 南京, 210098;
2.
长江水利委员会勘测设计研究院, 湖北, 武汉, 430010

基金项目: 教育部年轻骨干教师计划资助项目(教技司65-10);南京市人事局基金项目(宁人字-2000-4)

详细信息

作者简介:
朱岳明(1958- ),男,浙江长兴人,教授,博士生导师,从事水工结构工程、岩土工程及降雨入渗对边坡稳定性影响研究.

中图分类号: TV139.14

Solution to 3-D unsteady saturated-unsaturated seepage problem and accurate treatment of saturated and unsaturated exit surfaces of seepage

ZHU Yue-ming¹,
GONG Dao-yong²

1.
College of Water Conservancy & Hydroelectric Engineering, Hohai University, Nanjing 210098, China;
2.
Yangtze River Water Resources Commission, Ministry of Water Resources, Wuhan 430010, China

Funds: The project is supported by Foundation for University key Teacher of the China Education Ministry

摘要: 对三维饱和-非饱和渗流场的有限单元法求解进行了详细论述,在边界条件中明确列出了非饱和渗流逸出面边界条件的数学表达式。为了理论上能够严密地给出非饱和逸出面的边界条件和数值处理,根据渗流场固有的物理特性,定义了极限含水率和非饱和渗流逸出面蒸逸系数两个渗透基本特性参数。针对渗流场饱和与非饱和逸出面分界线(逸出线)位置事先不知道的问题,提出在这种边界非线性渗流场迭代求解过程中,应根据中间解通过边界条件类型的转化来准确地甄别这一分界线,完整地获得精细地处理饱和及非饱和渗流逸出面边界条件的思路与方法。
- 饱和非饱和渗流 /
- 有限单元法 /
- 渗流逸出面 /
- 极限含水率 /
- 蒸逸系数 /
- 边界非线性 /
- 边界条件类型转换
Abstract: A numerical procedure for finite element method solution to 3-D steady and unsteady,saturated unsaturated seepage problems is thoroughly presented in the paper.At the same time among the descriptions of the seepage boundary condidons,the correct mathematical expression of the unsteady exit surface of seepage is also established.In order theoretically accurately to describe the conditions of the unsaturated exit surfaces and to develop a strict numerical technique for simulating them,two new definitions of extreme moisture content and coefficient of water evaporation on unsaturated exit surface are originally given on the basis of the natural coherent physical properties of seepage media.Since the exact locations of the seepage exit lines between the saturated and unsaturated seepage areas couldn't be known at the beginning,a new solution concept and procedure are proposed.They use the transformation of the boundary condition types of the saturated and unsaturated exit sur faces during the numerical iterations according to the middle solutions to the problem.The location of the exit line of seepage can accurately be identified and the two-type exit surfaces be treated in detail.Therefore,the thought of accurate numerical treatment of saturated and unsaturated exit surfaces is implemented for the first time.Theoretically the problems of steadyunstea即and saturated-unsaturated seepage fields are solved thoroughly and rigorously.
- saturated-unsaturated unsteady seepage /
- finite element method /
- exit surface of seepage /
- extreme rmisture content /
- coefficient of water evaporation,boundary nonlinear problem /
- transformation of boundary-condition types /

[1]	Neuman S P, Narasimhan T N, Witherspoon P A. Application of mixed explicit-implicit finite element method to nonlinear diffusion-type problems[A]. Finite elements in water resources[C]. Pentech Press, London, Plymouth, 1977.1 153-1 186.
[2]	赤井浩一. 用有限单元法分析饱和非饱和渗流问题[A].日本土木学会论文报告集[C].1977-1978.
[3]	吴良骥. 饱和-非饱和区中的渗流问题的数值模型[J].水利水运科学研究, 1985, (2):1-10.
[4]	张蔚榛. 地下水非稳定计算和地下水资源评价[M].北京:科学出版社, 1983.519-522.

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三维饱和-非饱和渗流场求解及其逸出面边界条件处理

朱岳明¹,
龚道勇²

1. 河海大学水利水电工程学院, 江苏, 南京, 210098;

2. 长江水利委员会勘测设计研究院, 湖北, 武汉, 430010

基金项目: 教育部年轻骨干教师计划资助项目(教技司65-10);南京市人事局基金项目(宁人字-2000-4)

作者简介:
朱岳明(1958- ),男,浙江长兴人,教授,博士生导师,从事水工结构工程、岩土工程及降雨入渗对边坡稳定性影响研究.

收稿日期: 2002-01-09
修回日期: 2002-03-30
刊出日期: 2003-01-25

中图分类号: TV139.14

关键词:

摘要: 对三维饱和-非饱和渗流场的有限单元法求解进行了详细论述,在边界条件中明确列出了非饱和渗流逸出面边界条件的数学表达式。为了理论上能够严密地给出非饱和逸出面的边界条件和数值处理,根据渗流场固有的物理特性,定义了极限含水率和非饱和渗流逸出面蒸逸系数两个渗透基本特性参数。针对渗流场饱和与非饱和逸出面分界线(逸出线)位置事先不知道的问题,提出在这种边界非线性渗流场迭代求解过程中,应根据中间解通过边界条件类型的转化来准确地甄别这一分界线,完整地获得精细地处理饱和及非饱和渗流逸出面边界条件的思路与方法。

English Abstract

Solution to 3-D unsteady saturated-unsaturated seepage problem and accurate treatment of saturated and unsaturated exit surfaces of seepage

ZHU Yue-ming¹,
GONG Dao-yong²

1. College of Water Conservancy & Hydroelectric Engineering, Hohai University, Nanjing 210098, China;

2. Yangtze River Water Resources Commission, Ministry of Water Resources, Wuhan 430010, China

Funds: The project is supported by Foundation for University key Teacher of the China Education Ministry

Received Date: 2002-01-09
Rev Recd Date: 2002-03-30
Publish Date: 2003-01-25

Keywords:

Abstract: A numerical procedure for finite element method solution to 3-D steady and unsteady,saturated unsaturated seepage problems is thoroughly presented in the paper.At the same time among the descriptions of the seepage boundary condidons,the correct mathematical expression of the unsteady exit surface of seepage is also established.In order theoretically accurately to describe the conditions of the unsaturated exit surfaces and to develop a strict numerical technique for simulating them,two new definitions of extreme moisture content and coefficient of water evaporation on unsaturated exit surface are originally given on the basis of the natural coherent physical properties of seepage media.Since the exact locations of the seepage exit lines between the saturated and unsaturated seepage areas couldn't be known at the beginning,a new solution concept and procedure are proposed.They use the transformation of the boundary condition types of the saturated and unsaturated exit sur faces during the numerical iterations according to the middle solutions to the problem.The location of the exit line of seepage can accurately be identified and the two-type exit surfaces be treated in detail.Therefore,the thought of accurate numerical treatment of saturated and unsaturated exit surfaces is implemented for the first time.Theoretically the problems of steadyunstea即and saturated-unsaturated seepage fields are solved thoroughly and rigorously.

朱岳明, 龚道勇. 三维饱和-非饱和渗流场求解及其逸出面边界条件处理[J]. 水科学进展, 2003, 14(1): 67-71.

引用本文:

朱岳明, 龚道勇. 三维饱和-非饱和渗流场求解及其逸出面边界条件处理[J]. 水科学进展, 2003, 14(1): 67-71.

Citation: