考虑渗流起始比降的三维固结方程及数值模拟研究
|
摘要
将非达西定律引入到饱和土的Biot三维固结方程,建立了考虑起始比降的三维固结方程,同时采用空间8节点等参单元,得到了考虑起始比降的三维固结的数值方程式,并在此基础上构建了有限元渗流模型,根据数值计算结果得出考虑起始比降的三维固结方程,该方程可以很好地反映起始比降对孔隙水压力消散以及平均固结度的影响,与文献[8]的试验结果相吻合.
In the report,non-Darcy law was introduced into Biot three-dimensional consolidation equation of saturated soils,three-dimensional gradient consolidation equation considering starting gradient ratio was deduced.Space eight-node isoparametric element was used to obtain the three-dimensional consolidation numerical equation considering starting gradient ratio,on which the finite element seepage model was constructed. The model reflected the initial slope of the dissipation of pore water pressure and average consolidation degree very well,and the results are agreement with that of literature[8].
In the report,non-Darcy law was introduced into Biot three-dimensional consolidation equation of saturated soils,three-dimensional gradient consolidation equation considering starting gradient ratio was deduced.Space eight-node isoparametric element was used to obtain the three-dimensional consolidation numerical equation considering starting gradient ratio,on which the finite element seepage model was constructed. The model reflected the initial slope of the dissipation of pore water pressure and average consolidation degree very well,and the results are agreement with that of literature[8].
引文
[1]LI C X,XIE K H,WANG K.Analysis of one-dimensional consolidation with non-Darcian flow described by exponent and threshold gradient[J].Journal of Zhejiang University SCIENCE A:Applied Physics Engineering,2010,11(1):43-49.
[2]XIE K H,XIE X Y,JIANG W.A study on one dimensional nonlinear consolidation of double-layered soil[J].Computers and Geotechnics,2002,29:151-168.
[3]王坤.考虑起始比降的软土地基一维固结理论研究[D].杭州:浙江大学,2011.
[4]孔祥言,陈峰磊,陈国权.非牛顿流体渗流的特性参数及数学模型[J].中国科学技术大学学报,1999,29(2):141-147.
[5]邓英尔,刘慈群,黄润秋,等.高等渗流理论与方法[M].北京:科学出版社,2004.
[6]鄂建,陈刚,孙爱荣,等.考虑低速非Darcy渗流的饱和乳性土一维固结分析[J].岩土工程学报,2009,31(7):1111-1119.
[7]谢康和,周健.岩土工程有限元分析理论与应用[M].北京:科学出版社,2002.
[8]施建勇,问延煦,雷国辉,等.固结试验及其相关问题的讨论[J].河海大学学报:自然科学版,2004,32(2):213-215.
[2]XIE K H,XIE X Y,JIANG W.A study on one dimensional nonlinear consolidation of double-layered soil[J].Computers and Geotechnics,2002,29:151-168.
[3]王坤.考虑起始比降的软土地基一维固结理论研究[D].杭州:浙江大学,2011.
[4]孔祥言,陈峰磊,陈国权.非牛顿流体渗流的特性参数及数学模型[J].中国科学技术大学学报,1999,29(2):141-147.
[5]邓英尔,刘慈群,黄润秋,等.高等渗流理论与方法[M].北京:科学出版社,2004.
[6]鄂建,陈刚,孙爱荣,等.考虑低速非Darcy渗流的饱和乳性土一维固结分析[J].岩土工程学报,2009,31(7):1111-1119.
[7]谢康和,周健.岩土工程有限元分析理论与应用[M].北京:科学出版社,2002.
[8]施建勇,问延煦,雷国辉,等.固结试验及其相关问题的讨论[J].河海大学学报:自然科学版,2004,32(2):213-215.