饱和多孔介质散射问题中局部地形影响的显式数值分析法
|
摘要
为了能合理分析局部场地条件对地震波散射波场的影响,基于饱和多孔介质理论的土力学模型,提出了一种显式有限元与黏弹性人工边界相结合的数值波动模拟方法.采用二维模型,以圆弧形凹陷河谷为例,分析了局部地形对饱和多孔介质中散射地震波场的影响,并通过与远置边界结果的对比,说明了该方法的正确性和适用性.
Based on the soil mechanic model in saturated porous media,by combining viscous-spring artificial boundary with the 2-D explicit finite element method,an explicit numerical wave method is proposed to analyze the effect of the local terrain on the dynamic response of saturated site under diffracting earthquake wave field.Then,a 2-D semicircular valley model is used to analyze the topographical effect on the diffracting earthquake wave field in the saturated site.A comparison is made between the numerical solution and the far boundary solution.And the result indicates that the proposed method is correct and applicable.
Based on the soil mechanic model in saturated porous media,by combining viscous-spring artificial boundary with the 2-D explicit finite element method,an explicit numerical wave method is proposed to analyze the effect of the local terrain on the dynamic response of saturated site under diffracting earthquake wave field.Then,a 2-D semicircular valley model is used to analyze the topographical effect on the diffracting earthquake wave field in the saturated site.A comparison is made between the numerical solution and the far boundary solution.And the result indicates that the proposed method is correct and applicable.
引文
[1]廖振鹏．工程波动理论导论[M]．第2版．北京：科学出版社，2002．
[2]杜修力，赵密，王进廷．近场波动模拟的人工应力边界条件[J]．力学学报，2006，38(1)：49-56．DU Xiu-li,ZHAO Mi,WANG Jin-ting.A stress artificial boundary in FEA for near-field wave problem[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):49-56.(in Chinese)
[3]GAJO A,SAETTA A,VITALIANI R.Silent boundary conditions for wave propagation in saturated porous media[J]. International Journal for Numerical and Analytical Methods in Geomechanies,1996,20:253-273.
[4]AKIYOSHI T,SUN X,FUCHIDA K.General absorbing boundary conditions for dynamic analysis of fluid-saturated porous media[J].Soil Dynamics and Earthquake Engineering,1998,17:397-406.
[5]ZERFA Zohra,LORET Benjamin.A viscous boundary for transient analyses of saturated porous media[J].Earthquake Engineering and Structural Dynamics,2002,33:89-110.
[6]杜修力，李立云．饱和多孔介质近场波动分析的一种黏弹性人工边界[J]．地球物理学报，2008，51(2)：575-581．DU Xiu-li,LI Li-yun.A viscous-spring artificial boundary for near-field wave analysis in saturated porous media[J].Chinese Journal of Geophysics,2008,51(2):575-581.(in Chinese)
[7]崔杰．含水土层中的波传播及土壤液化[D]．哈尔滨：中国地震局工程力学研究所，2002．CUI Jie.The wave propagation in saturated soil layer and sand liquefaction[D].Harbin:Institute of Engineering Mechanics, China Seismological Bureau,2002.(in Chinese)
[8]李亮，杜修力，赵成刚，等．两相多孔介质弹塑性动力反应计算分析的显式有限元方法[J]．北京工业大学学报，2006，32(9):784-790. LI Liang,DU Xiu-li,ZHAO Cheng-gang,et al.Explicit finite element method for calculation and analysis of the elasto-plastic dynamic response of fluid-saturated porous media[J].Journal of Beijing University of Technology,2006,32(9):784-790.(in Chinese)
[9]王进廷．高混凝土坝-可压缩库水-淤砂-地基系统地震反应分析研究[D]．北京：中国水利水电科学研究院，2001．WANG Jin-ting.The analyses of seismic response of high concrete dam-compressible water-sediment-foundation systems[D]. Beijing:China Institute of Water Resources and Hydropower Research,2001.(in Chinese)
[10]李伟华，赵成刚．圆弧形凹陷饱和土场地对平面P波散射问题的解析解[J]．地球物理学报，2003，46(4)：539-546．LI Wei-hua,ZHAO Cheng-gang.An analytical solution for the diffraction of plane P-waves by circular cylindrical canyons in a fluid-saturated porous media half space[J].Chinese Journal of Geophysics,2003,46(4):539-546.(in Chinese)
[2]杜修力，赵密，王进廷．近场波动模拟的人工应力边界条件[J]．力学学报，2006，38(1)：49-56．DU Xiu-li,ZHAO Mi,WANG Jin-ting.A stress artificial boundary in FEA for near-field wave problem[J].Chinese Journal of Theoretical and Applied Mechanics,2006,38(1):49-56.(in Chinese)
[3]GAJO A,SAETTA A,VITALIANI R.Silent boundary conditions for wave propagation in saturated porous media[J]. International Journal for Numerical and Analytical Methods in Geomechanies,1996,20:253-273.
[4]AKIYOSHI T,SUN X,FUCHIDA K.General absorbing boundary conditions for dynamic analysis of fluid-saturated porous media[J].Soil Dynamics and Earthquake Engineering,1998,17:397-406.
[5]ZERFA Zohra,LORET Benjamin.A viscous boundary for transient analyses of saturated porous media[J].Earthquake Engineering and Structural Dynamics,2002,33:89-110.
[6]杜修力，李立云．饱和多孔介质近场波动分析的一种黏弹性人工边界[J]．地球物理学报，2008，51(2)：575-581．DU Xiu-li,LI Li-yun.A viscous-spring artificial boundary for near-field wave analysis in saturated porous media[J].Chinese Journal of Geophysics,2008,51(2):575-581.(in Chinese)
[7]崔杰．含水土层中的波传播及土壤液化[D]．哈尔滨：中国地震局工程力学研究所，2002．CUI Jie.The wave propagation in saturated soil layer and sand liquefaction[D].Harbin:Institute of Engineering Mechanics, China Seismological Bureau,2002.(in Chinese)
[8]李亮，杜修力，赵成刚，等．两相多孔介质弹塑性动力反应计算分析的显式有限元方法[J]．北京工业大学学报，2006，32(9):784-790. LI Liang,DU Xiu-li,ZHAO Cheng-gang,et al.Explicit finite element method for calculation and analysis of the elasto-plastic dynamic response of fluid-saturated porous media[J].Journal of Beijing University of Technology,2006,32(9):784-790.(in Chinese)
[9]王进廷．高混凝土坝-可压缩库水-淤砂-地基系统地震反应分析研究[D]．北京：中国水利水电科学研究院，2001．WANG Jin-ting.The analyses of seismic response of high concrete dam-compressible water-sediment-foundation systems[D]. Beijing:China Institute of Water Resources and Hydropower Research,2001.(in Chinese)
[10]李伟华，赵成刚．圆弧形凹陷饱和土场地对平面P波散射问题的解析解[J]．地球物理学报，2003，46(4)：539-546．LI Wei-hua,ZHAO Cheng-gang.An analytical solution for the diffraction of plane P-waves by circular cylindrical canyons in a fluid-saturated porous media half space[J].Chinese Journal of Geophysics,2003,46(4):539-546.(in Chinese)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心