地震作用下海床孔隙水压力增长的算法研究
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摘要
针对饱和砂质海床,建立了由Terzaghi固结理论与不排水条件下孔隙水压力增长模式相耦合的含有源项的初边值方程,运用数理方程中的分离变量法与Green函数求解得到了一个较为一般的孔隙水压力解答.结果表明:海床土的渗透性对于海床的抗液化性能有显著影响,渗透系数的微小减小就会导致海床中累积孔隙水压力比的显著增大;在海床相对深度小于0.5时,由地震所引起的海床中各个相对深度处累积孔隙水压力比随着海床厚度的减小而减小;当海床相对深度大于0.7后,规律相反.
An initial boundary equation with a source term,which couples Terzaghi's consolidation theory with the experimentally-derived model of incremental seismic-induced pore pressure,is described for use with a saturated sandy seabed.A general analytical solution of pore pressure was obtained by applying the methods of separation of variables and the Green's function in the mathematical equation.The results show that the effect of soil permeability on liquefaction of the seabed soil is remarkable.A small reduction of the permeability coefficient can lead to a significant increment in accumulative excess pore-pressure-ratio of the seabed.The seismic accumulative excess pore pressure of the seabed increases with decreasing seabed thickness when the relative depth is less than 0.5.The reverse is true when the relative depth is more than 0.7.
An initial boundary equation with a source term,which couples Terzaghi's consolidation theory with the experimentally-derived model of incremental seismic-induced pore pressure,is described for use with a saturated sandy seabed.A general analytical solution of pore pressure was obtained by applying the methods of separation of variables and the Green's function in the mathematical equation.The results show that the effect of soil permeability on liquefaction of the seabed soil is remarkable.A small reduction of the permeability coefficient can lead to a significant increment in accumulative excess pore-pressure-ratio of the seabed.The seismic accumulative excess pore pressure of the seabed increases with decreasing seabed thickness when the relative depth is less than 0.5.The reverse is true when the relative depth is more than 0.7.
引文
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[2]王东权,王立权,周国庆,等.同步爆扩法处理高速公路液化土地基现场试验研究[J].中国矿业大学学报,2006,35(5):648-652.WANG Dong-quan,WANG Li-quan,ZHOU Guo-qing,et al.Field test study on treatment of liquefiedsoil foundation of expressway with synchronousblast-enlargement[J].Journal of China University ofMining&Technology,2006,35(5):648-652.
[3]栾茂田,钱令希.层状饱和砂土振动孔隙水压力扩散与消散简化解法[J].大连理工大学学报,1995,35(2):216-221.LUAN Mao-tian,Qian Ling-xi.Simplified procedurefor estimating shaking-induced pore-water pressuredissipation of layered saturated sands[J].Journal ofDalian University of Technology,1995,35(2):216-221.
[4]SEED H B,MARTIN P P,LYSMER J.Pore-waterpressure changes during soil liquefaction[J].Journalof the Geotechnical Engineering Division,ASCE,1976,102(GT2):323-346.
[5]BOOKER J R,RAHMAN M S,SEED H B.Gadfl-fa-a computer program for the analysis of pore pres-sure generation and dissipation during cycle or earth-quake loading[R].Berkley:University of California,1976.
[6]CHRISTIAN J T.Consolidation with internal pres-sure generation[J].Journal of the Geotechnical Engi-neering Division,ASCE,1976,102(GT10):1111-1115.
[7]张建民,谢定义.饱和砂土振动孔隙水压力增长的实用算法[J].水利学报,1991,22(8):45-51.ZHANG Jian-ming,XIE Ding-yi.Applicable proce-dure for shaking-induced pore-water pressure incre-ment of saturated sands[J].Journal of Hydraulic En-gineering,1991,22(8):45-51.
[8]徐志英.地震期孔隙水压力变化估算方法[J].水利学报,1981(4):68-73.XU Zhi-ying.Experiment study on dynamic charac-teristics of free spanning submarine pipelines due toearthquake[J].Journal of Hydraulic Engineering,1981,12(4):68-73.
[9]SEED H B,RAHMAN M S.Wave-induced pore wa-ter pressure in relation to ocean floor stability of co-hesionless soils[J].Marine Geotechnology,1978,3(2):123-150.
[10]王明新.数学物理方程[M].北京:清华大学出版社,2005:33-36.
[11]ZEN K,YAMAZAKI H.Mechanism of wave-in-duced liquefaction and densification in seabed[J].Soils and Foundations,Japanese Society of Soil Me-chanic and Foundation Engineering,1990,30(4):90-104.
[12]陈飞熊,李宁,谢定义.黑河土石坝的地震响应和液化分析[J].水利学报,2000,31(2):22-26.Chen Fei-xiong,LI Ning,XIE Ding-yi.Dynamic re-sponse of earthquake and liquefaction analysis of theHeihe Earth Dam[J].Journal of Hydraulic Engi-neering,2000,31(2):22-26.
[13]邹德高,孔宪京,娄树莲,等.饱和砂土地基中地下管线的振动台试验数值模拟分析[J].水利学报,2004,35(12):112-119.ZOU De-gao,KONG Xian-jing,LOU Shu-lian,etal.Numerical simulation of shaking table test onpipelines buried in saturated sand foundation[J].Journal of Hydraulic Engineering,2004,35(12):112-119.
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