基坑工程非稳定渗流场的三维有限元分析
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摘要
基于三维非稳定渗流的基本方程,应用伽辽金法对其进行了离散,得到了有限元控制方程。应用Seep3D对三维非稳定渗流进行模拟。
通过对基坑降水的分析,总结各方面因素,提出了基坑降水特征值的概念。此特征值可以较全面地概括基坑降水的效果,为基坑降水的量化分析提供了依据。
通过调整基坑降水的参量,对基坑降水进行了大量的计算,得到了各参变量对降水特征值的影响,并对其进行了系统地分析,提供了合理的确定这些参量的依据,得到的结论可为实际基坑降水工程所参考。
A FEM(Finite Element Method) governing equation for 3-D unsteady seepage problems, based on basic seepage equation, is presented by applying the Galerkin method and can be applied in simulating 3-D seepage problems. In solving the transint seepage problems, the software Seep3D is used.
The conception—dewatering eigenvalue,which can externalize the effects of seepage on fondation excavation and provide a criterion for quantity analysis, is put forward by analyzing excavation processes and generalizing all effective factors.
Through change the values of varies of parameters, The effects of the parameters on the dewatering eigenvalues are obtained by a large mount of calculations on seepage on fundation pit excavation. By systematical analysis, the criterion on determining the parameters rationally is obtained and can be refered in pratical fundation pit engineerings.
通过对基坑降水的分析,总结各方面因素,提出了基坑降水特征值的概念。此特征值可以较全面地概括基坑降水的效果,为基坑降水的量化分析提供了依据。
通过调整基坑降水的参量,对基坑降水进行了大量的计算,得到了各参变量对降水特征值的影响,并对其进行了系统地分析,提供了合理的确定这些参量的依据,得到的结论可为实际基坑降水工程所参考。
A FEM(Finite Element Method) governing equation for 3-D unsteady seepage problems, based on basic seepage equation, is presented by applying the Galerkin method and can be applied in simulating 3-D seepage problems. In solving the transint seepage problems, the software Seep3D is used.
The conception—dewatering eigenvalue,which can externalize the effects of seepage on fondation excavation and provide a criterion for quantity analysis, is put forward by analyzing excavation processes and generalizing all effective factors.
Through change the values of varies of parameters, The effects of the parameters on the dewatering eigenvalues are obtained by a large mount of calculations on seepage on fundation pit excavation. By systematical analysis, the criterion on determining the parameters rationally is obtained and can be refered in pratical fundation pit engineerings.
引文
[1]王国光. 基坑工程渗流场的有限元分析,[硕士学位论文],天津:天津大学,1999
[2]章本照, 流体力学中的有限元方法,北京:机械工业出版社,1986
[3]薛禹群,谢春红,水文地质学的数值法,北京:煤炭工业出版社,1980
[4]罗焕炎,陈雨孙, 地下水运动的数值模拟,北京:中国建筑工业出版社,1988
[5]F.Cai, K.Ugai,A. Wakai, Q.li, Effects of horizontal drains on slope stability under rainfall by three-dimensional finite element analysis, Computers and Geothchnics , 1998,23:255-275
[6]Nunzio Romano, Bruno Brunone, Alessandro Santini, Numerical analysis of one-dimension unsaturated flow in layered soils, Advances in Water Resources, 1998,21:315-324
[7]Jianhong Zhang, Qianjun Xu, Zuyu Chen, Seepage analysis based on the unified unsatured soil theory, Mechanics Research Communications,2001, 28(1):107-112
[8]朱学愚,谢春红,地下水运移模型,北京:中国建筑工业出版社,1990
[9]毛昶熙, 渗流计算分析与控制,北京:水利电力出版社,1990
[10]谢康和,周健,岩土工程有限元分析理论与应用,北京:科学出版社,2002
[11]苑莲菊,李振栓,武胜忠,杨展,赵志怀,工程渗流力学及应用,北京:中国建材工业出版社,2001
[12]张在明,地下水与建筑基础工程,北京:中国建筑工业出版社,2001
[13]顾慰慈,渗流计算原理及应用,北京:中国建材工业出版社,2000
[14]龚晓南,深基坑工程设计施工手册,北京:中国建筑工业出版社,2001
[15]谭浩强,田淑清,FORTRAN语言,北京:清华大学出版社,1990
[16]罗定安,工程结构数值分析方法与程序设计,天津:天津大学出版社,1995
[17]王勖成,邵敏,有限元法基本原理和数值方法,北京:清华大学出版社,2001
[18]陈仲颐,周景星,王洪瑾, 土力学,北京:清华大学出版社,1994
[19]陈和群,彭宣茂,有限元法微机程序与图形处理,南京: 河海大学出版社 1992
[20]Malyshev,L.I. Seepage and antiseepage measures in foundations of hydraulic structures, Geomechanics Abstrcts, 1997, 5:331
[21]Jean-Pierre Bardet, Tetsuo Tobita, A practical method for solving free-surface seepage problems, Computers and Geotechnics, 2002,29: 451-475
[22]朱伯芳,有限单元法原理与应用,北京: 水利电力出版社 1979
[23]朱百里等,计算土力学, 上海: 上海科学技术出版社, 1990
[24]孙讷正,地下水流的数学模型和数值方法,北京: 地质出版社, 1981
[25]钱家欢,殷宗泽, 土工原理与计算,北京:中国水利水电出版社,2000
[26]C.S.德赛,J.T.克里斯琴, 岩土工程数值方法(卢士深,潘善德,王锺琦 译),北京:中国建筑工业出版社 1981
[27]P.Knupp, A moving mesh algorithm for 3-D regional groundwater flow with table and seepage face, Advances in Water Resources,1996,2:83-95
[28]Chih-Ping Wu, Chih-Hsien Lin, Yaw-Jeng Chiou, Multi-region Boundary Analysis of unconfined seepage problems in excavations, Computers and Geotechnics, 1996,2:75-96
[29]王国光,王成华等,采取止水措施的基坑渗流场研究,工业建筑,2001,4:43-45
[30]魏泽光,黄俊,许国安,李春华,三维稳定渗流的有限元计算,水利学报,1982, 1: 39-47
[31]张有天,陈平,王镭,有自由面渗流分析的初流量法,水利学报,1988,8:18-25
[32]王媛,求解有自由面渗流问题的初流量法的改进,水利学报,1998, 3:
68-72
[33]黄蔚,刘迎曦,周承芳,三维无压渗流场的有限元算法研究,水利学报,2001, 6:33-36
[34]李春华,稳定渗流的有限元计算和决定自由面位置的一种方法,水利水电科学院科学研究论文集,No.8:148-155
[35]梁业国,熊文林,周创兵,有自由面渗流分析的子单元法,水利学报,1997, 8:34-38
[36]吴梦喜,张学勤,有自由面渗流分析的虚单元法,水利学报,1994,8:
67-71
[37]A.Leontiev, W.Huacasi, Mathematical programming approach for unconfined seepage flow problem, Engineering analysis with boundary elements, 2001,25:49-56
[38]N.H.Sharif, N.E.Wiberg, M.Levenstam, Free surface through rock-fill dams analyzed by FEM with level set approach, Computaional Mechanics 2001,27:233-243
[39]Kang-Kun Lee, Darrell I.Leap, Simulation of a free-surface using boundary-fitted coordinate system method, Journal of Hydrology, 1997,196:297-309
[40]速宝玉,朱岳明,不变网格确定渗流自有面的节点虚流量法,河海大学学报,1991, 5:113-117
[41]周创兵,熊文林,梁业国,求解无压渗流场的一种新方法,水动力学研究与进展,1996,5:528-534
[42]陈国强,许建平,深基坑工程水压力计算及止水帷幕的设计,建筑结构,2001, 10:50-51
[43]黄俊,李春华,用等参单元分析排水井和沟的稳定渗流计算,水利水电科学院科学研究论文集,No.8:137-147
[44]吴昌瑜,李思慎,谢红,深基坑开挖中的降水设计问题,岩土工程学报,1999,3:348-350
[45]王镭,刘中,张有天,有排水孔幕的渗流场分析,水利学报,1992, 4:
15-20
[46]Dubravka Pokrajac, Numerical study of drainage system at a fly ash landfill, Computers and Geotechnics, 2002,29:29-48
[47]K.N.Anakhaev, Three-dimensional seepage in the cores of rock-and-earth-fill dams, Hydrotechnical Construction, 1994,28(7): 388-396
[48]朱军,刘光廷,改进的单元渗透矩阵调整法求解无压渗流场,水利学报学报,2001, 8:49-52
[49]Griffiths D.V. Fenton G.A. Three-dimensional seepage through spatially random soil, Journal of Geotechnical and Geoenviromental Engineering, ASCE 1997 123/2:153-160
[50]丁家平,有限单元法的渗流量求解及渗流图象的自动化绘制,水利水运科学研究,1987,2:81-89
[51]王荫堂,微型机上的有限元程序设计,华东水利学院学报,1985,2:95-101
[52]刘俊研,深基坑工程,北京:中国建筑工业出版社,2001
[53]徐士良,FORTRAN常用算法程序集,北京:清华大学出版社,1992
[54]E.欣顿,D.R.J.欧文,有限元程序设计(杨楚泉,姚玉珉,黄冠雄 译),北京:新时代出版社,1982
[2]章本照, 流体力学中的有限元方法,北京:机械工业出版社,1986
[3]薛禹群,谢春红,水文地质学的数值法,北京:煤炭工业出版社,1980
[4]罗焕炎,陈雨孙, 地下水运动的数值模拟,北京:中国建筑工业出版社,1988
[5]F.Cai, K.Ugai,A. Wakai, Q.li, Effects of horizontal drains on slope stability under rainfall by three-dimensional finite element analysis, Computers and Geothchnics , 1998,23:255-275
[6]Nunzio Romano, Bruno Brunone, Alessandro Santini, Numerical analysis of one-dimension unsaturated flow in layered soils, Advances in Water Resources, 1998,21:315-324
[7]Jianhong Zhang, Qianjun Xu, Zuyu Chen, Seepage analysis based on the unified unsatured soil theory, Mechanics Research Communications,2001, 28(1):107-112
[8]朱学愚,谢春红,地下水运移模型,北京:中国建筑工业出版社,1990
[9]毛昶熙, 渗流计算分析与控制,北京:水利电力出版社,1990
[10]谢康和,周健,岩土工程有限元分析理论与应用,北京:科学出版社,2002
[11]苑莲菊,李振栓,武胜忠,杨展,赵志怀,工程渗流力学及应用,北京:中国建材工业出版社,2001
[12]张在明,地下水与建筑基础工程,北京:中国建筑工业出版社,2001
[13]顾慰慈,渗流计算原理及应用,北京:中国建材工业出版社,2000
[14]龚晓南,深基坑工程设计施工手册,北京:中国建筑工业出版社,2001
[15]谭浩强,田淑清,FORTRAN语言,北京:清华大学出版社,1990
[16]罗定安,工程结构数值分析方法与程序设计,天津:天津大学出版社,1995
[17]王勖成,邵敏,有限元法基本原理和数值方法,北京:清华大学出版社,2001
[18]陈仲颐,周景星,王洪瑾, 土力学,北京:清华大学出版社,1994
[19]陈和群,彭宣茂,有限元法微机程序与图形处理,南京: 河海大学出版社 1992
[20]Malyshev,L.I. Seepage and antiseepage measures in foundations of hydraulic structures, Geomechanics Abstrcts, 1997, 5:331
[21]Jean-Pierre Bardet, Tetsuo Tobita, A practical method for solving free-surface seepage problems, Computers and Geotechnics, 2002,29: 451-475
[22]朱伯芳,有限单元法原理与应用,北京: 水利电力出版社 1979
[23]朱百里等,计算土力学, 上海: 上海科学技术出版社, 1990
[24]孙讷正,地下水流的数学模型和数值方法,北京: 地质出版社, 1981
[25]钱家欢,殷宗泽, 土工原理与计算,北京:中国水利水电出版社,2000
[26]C.S.德赛,J.T.克里斯琴, 岩土工程数值方法(卢士深,潘善德,王锺琦 译),北京:中国建筑工业出版社 1981
[27]P.Knupp, A moving mesh algorithm for 3-D regional groundwater flow with table and seepage face, Advances in Water Resources,1996,2:83-95
[28]Chih-Ping Wu, Chih-Hsien Lin, Yaw-Jeng Chiou, Multi-region Boundary Analysis of unconfined seepage problems in excavations, Computers and Geotechnics, 1996,2:75-96
[29]王国光,王成华等,采取止水措施的基坑渗流场研究,工业建筑,2001,4:43-45
[30]魏泽光,黄俊,许国安,李春华,三维稳定渗流的有限元计算,水利学报,1982, 1: 39-47
[31]张有天,陈平,王镭,有自由面渗流分析的初流量法,水利学报,1988,8:18-25
[32]王媛,求解有自由面渗流问题的初流量法的改进,水利学报,1998, 3:
68-72
[33]黄蔚,刘迎曦,周承芳,三维无压渗流场的有限元算法研究,水利学报,2001, 6:33-36
[34]李春华,稳定渗流的有限元计算和决定自由面位置的一种方法,水利水电科学院科学研究论文集,No.8:148-155
[35]梁业国,熊文林,周创兵,有自由面渗流分析的子单元法,水利学报,1997, 8:34-38
[36]吴梦喜,张学勤,有自由面渗流分析的虚单元法,水利学报,1994,8:
67-71
[37]A.Leontiev, W.Huacasi, Mathematical programming approach for unconfined seepage flow problem, Engineering analysis with boundary elements, 2001,25:49-56
[38]N.H.Sharif, N.E.Wiberg, M.Levenstam, Free surface through rock-fill dams analyzed by FEM with level set approach, Computaional Mechanics 2001,27:233-243
[39]Kang-Kun Lee, Darrell I.Leap, Simulation of a free-surface using boundary-fitted coordinate system method, Journal of Hydrology, 1997,196:297-309
[40]速宝玉,朱岳明,不变网格确定渗流自有面的节点虚流量法,河海大学学报,1991, 5:113-117
[41]周创兵,熊文林,梁业国,求解无压渗流场的一种新方法,水动力学研究与进展,1996,5:528-534
[42]陈国强,许建平,深基坑工程水压力计算及止水帷幕的设计,建筑结构,2001, 10:50-51
[43]黄俊,李春华,用等参单元分析排水井和沟的稳定渗流计算,水利水电科学院科学研究论文集,No.8:137-147
[44]吴昌瑜,李思慎,谢红,深基坑开挖中的降水设计问题,岩土工程学报,1999,3:348-350
[45]王镭,刘中,张有天,有排水孔幕的渗流场分析,水利学报,1992, 4:
15-20
[46]Dubravka Pokrajac, Numerical study of drainage system at a fly ash landfill, Computers and Geotechnics, 2002,29:29-48
[47]K.N.Anakhaev, Three-dimensional seepage in the cores of rock-and-earth-fill dams, Hydrotechnical Construction, 1994,28(7): 388-396
[48]朱军,刘光廷,改进的单元渗透矩阵调整法求解无压渗流场,水利学报学报,2001, 8:49-52
[49]Griffiths D.V. Fenton G.A. Three-dimensional seepage through spatially random soil, Journal of Geotechnical and Geoenviromental Engineering, ASCE 1997 123/2:153-160
[50]丁家平,有限单元法的渗流量求解及渗流图象的自动化绘制,水利水运科学研究,1987,2:81-89
[51]王荫堂,微型机上的有限元程序设计,华东水利学院学报,1985,2:95-101
[52]刘俊研,深基坑工程,北京:中国建筑工业出版社,2001
[53]徐士良,FORTRAN常用算法程序集,北京:清华大学出版社,1992
[54]E.欣顿,D.R.J.欧文,有限元程序设计(杨楚泉,姚玉珉,黄冠雄 译),北京:新时代出版社,1982