饱和砂土中地下管道地震响应的固体双尺度-流体耦合模拟
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摘要
为了将固体离散-连续双尺度耦合方法扩展至流固耦合情形,首先给出基于任意拉格朗日-欧拉描述、并且包含流固耦合作用力项的不可压缩流体方程组,此流体方程组与离散颗粒和连续土体耦合时具有统一的表达式;然后给出流体动力方程与离散-连续固相土体的耦合框架,并基于此耦合框架对饱和砂土中地下管线地震响应的振动台试验进行数值模拟,并同文献中的试验结果进行比较。将流体方程引入固体离散-连续耦合方法后,在有效降低离散元模拟规模的情形下,可以有效描述地震中地下管线附近饱和砂土的细观动力特性。
In order to apply two-scale coupled method for the solid phase to the case of fluid-solid interaction, incompressible fluid momentum conservation equations incorporating Al E terms and fluid-solid interaction terms are presented. These equations exhibit the same forms when they are coupled with discrete particles and continuum soil medium. Then a scheme coupling fluid and discretecontinuum solids are estabilished based on which a buried pipe in saturated soil under seismic excitation is simulated. It is shown that, by introducing fluid equations to the discrete-continuum solid me thod, the proposed scheme can well depict the saturated sand near the pipe while effectively reduce particle number during the simulation.
In order to apply two-scale coupled method for the solid phase to the case of fluid-solid interaction, incompressible fluid momentum conservation equations incorporating Al E terms and fluid-solid interaction terms are presented. These equations exhibit the same forms when they are coupled with discrete particles and continuum soil medium. Then a scheme coupling fluid and discretecontinuum solids are estabilished based on which a buried pipe in saturated soil under seismic excitation is simulated. It is shown that, by introducing fluid equations to the discrete-continuum solid me thod, the proposed scheme can well depict the saturated sand near the pipe while effectively reduce particle number during the simulation.
引文
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[7]金炜枫,周健,张姣.基于离散-连续耦合方法的地下结构在地震中破坏过程模拟[J].固体力学学报,2013,34(1):93-102(Jin Weifeng,Zhou Jian,Zhang Jiao.Collapse simulation of the subway structure during the earthquake based on the two-scale coupled method[J].ChineseJournal of Solid Mechanics,2013,34(1):93-102(in Chinese))
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[2]Jin W,Zhou J.A coupled micro-macro method for pile penetration analysis[C]//Proceeding of the 2010 Geo Shanghai International Conference.Shanghai:Geotechnical Special Publication,2010:234-239
[3]周健,邓益兵,贾敏才,等.基于颗粒单元接触的二维离散-连续耦合分析方法[J].岩土工程学报,2010,32(10):1479-1484(Zhou Jian,Deng Yibing,Jia Mincai,et al.Coupling method of two-dimensional discontinuum-continuum based on contact between particle and element[J].Chinese Journal of Geotechnical Engineering,2010,32(10):1479-1484(in Chinese))
[4]陈建峰,郑希,李辉利,等.软土地基加筋土挡墙二维离散-连续耦合模拟[J].土木工程学报,2011,44(S):33-36(Cheng Jianfeng,Zheng Xi,Li Huili,et al.Coupling discontinuum-continuum simulation of a geogrid-reinforced soil retaining wall(RSW)on soft soil[J].China Civil Engineering Journal,2011,44(S):33-36(in Chinese))
[5]周健,金炜枫.基于耦合方法的挡土墙地震响应的数值模拟[J].岩土力学,2010,31(12):3949-3957(Zhou Jian,Jin Weifeng.Coupled approach based numerical simulation of a retaining wall under seismic excitation[J].Rock and Soil Mechanics,2010,31(12):3949-3957(in Chinese))
[6]金炜枫,周健.列车振动下隧道与土体响应的双尺度耦合模拟[J].岩石力学与工程学报,2011,30(5):1016-1024(Jin Weifeng,Zhou Jian.Two-scale coupled simulation of tunnel-soil vibrations under train excitation[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(5):1016-1024(in Chinese))
[7]金炜枫,周健,张姣.基于离散-连续耦合方法的地下结构在地震中破坏过程模拟[J].固体力学学报,2013,34(1):93-102(Jin Weifeng,Zhou Jian,Zhang Jiao.Collapse simulation of the subway structure during the earthquake based on the two-scale coupled method[J].ChineseJournal of Solid Mechanics,2013,34(1):93-102(in Chinese))
[8]Shimamura K,Hamada M,Yasuda S,et al.Experimental and analytical study of the floatation of buried gas steel pipe due to liquefaction[C]//12th World Conference of Earthquake Engineering.Auckland,New Zealand,2000
[9]Mulilis J P,Arulanandan K,Mitchell J K,et al.Effects of sample preparation on sand liquefaction[J].Journal of the Geotechnical Engineering Division,1977,103(2):91-108
[10]Ergun S.Fluid flow through packed columns[J].Chemical Engineering Progress,1952,48(2):89-94
[11]Wen C Y,Yu Y H.Mechanics of fluidization[J].Chemical Engineering Progress Symposium Series,1966,62(62):100-111
[12]Brooks A N,Hughes T J R.Streamline upwind/petrovegalerkin formulations for convection dominated flows with particular emphasis on the incompressible navier-strokes equations[J].Computer Methods in Applied Mechanics and Engineering,1982,32(1):199-259
[13]Zienkiewicz O C,Codina R.A general algorithm for compressible and incompressible flow-Part I.The split,characteristic-based scheme[J].International Journal for Numerical Methods in Fluids,1995,20(8-9):869-885
[14]Zienkiewicz O C,,Morgan K,Sai B V K,et al.A general algorithm for compressible and incompressible flow-Part II.Tests on the explicit form[J].International Journal for Numerical Methods in Fluids,1995,20(8-9):887-913
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