半空间饱和多孔介质中孔隙水压动力格林函数  

DYNAMIC GREEN’S FUNCTION OF PORE FLUID PRESSURE IN THE THREE-DIMENSIONAL POROELASTIC HALF SPACE

作　　者：张海[1,2] 郭磊[3] 

机构地区：[1]天津城市建设学院土木工程系,天津300384 [2]天津大学建筑工程学院,天津300072 [3]广东省水利水电科学研究院,广东广州510610

出　　处：《工程力学》2010年第7期181-185,共5页Engineering Mechanics

基　　金：国家自然科学基金项目(50378063);天津市高等学校科技发展基金计划项目(20080901)

摘　　要：该文引入三维饱和场地轴对称情况时的势函数,通过傅里叶积分变换,给出了三维饱和半空间中作用一孔隙水压力时的动力格林函数。首先在作用孔隙水压力处引入一辅助面,然后通过自由表面的边界条件以及辅助面处的连续条件,得到势函数系数,利用位移应力与势函数关系即可得到三维饱和半空间任一点的响应,也即格林函数。对于地表透水情况,该文考虑了地表的完全透水和完全不透水两种透水条件,该文进行了大量计算,分析了激励频率和孔隙率对位移和孔隙水压力的影响。Through introducing the axisymmetric potential function of a poroelastic half space, the dynamic Green’s function of concentrated pore fluid pressure is given. Firstly, an auxiliary surface is introduced along the location of the source, then through the condition of the free surface of the poroelastic half space and the continuous condition of the auxiliary surface. The coefficients of the potential function are obtained. Then the dynamic response of the three-dimensional poroelastic half space is obtained by using the relation between the potential function and the displacements and stresses. Two boundary drainages are considered： the drained surface and undrained surface and the effects to the displacements and pore pressure of the porosity are discussed, and some useful conclusions are given.

关 键 词：土-结构相互作用 动力格林函数 傅里叶变换 饱和半空间 孔隙水压力 

分 类 号：TV131[水利工程—水力学及河流动力学]