砂垫层作为不完全透水边界条件的数学物理描述  

Mathematical and physical descriptions of sand blanket with impeded drainage boundary conditions

作　　者：陆腾腾 徐梨丹 雷国辉[1,2] LU Tengteng;XU Lidan;LEI Guohui(Key Laboratory of Geomechanics and Embankment Engineering of Ministry of Education,Hohai University,Nanjing 210098,China;Jiangsu Research Center for Geotechnical Engineering Technology,Hohai University,Nanjing 210098,China)

机构地区：[1]河海大学岩土力学与堤坝工程教育部重点实验室,江苏南京210098 [2]河海大学江苏省岩土工程技术工程研究中心,江苏南京210098

出　　处：《南京工业大学学报（自然科学版）》2019年第6期785-791,共7页Journal of Nanjing Tech University(Natural Science Edition)

基　　金：国家自然科学基金(51278171,51778211);中央高校基本科研业务费专项资金(2019B44114)

摘　　要：考虑砂垫层内孔隙水的渗透路径以水平向渗流为主,根据流量连续性条件,参考井阻方程的建立过程,推求了不完全透水边界条件的数学物理描述方程。采用有限元方法,分析了砂垫层透水性能对地基固结和孔隙水渗流特性的影响,同时结合有限差分法,得到了砂垫层和土层边界面上孔压梯度■u/■z和■^2u/■x^2的相关关系。结果表明,由有限元计算结合有限差分法推求得到的边界面上的孔压梯度关系与基于流量连续性条件推求得到的不完全透水边界条件的数学物理描述方程是一致的,验证了该不完全透水边界条件的正确性。According to the continuity condition,a mathematical and physical description equation of impeded drainage boundary condition was derived by considering the horizontal drainage dominated in sand blanket and referring to the derivation procedures for drain resistance equation.By using finite element method,the effects of the permeability of sand blanket on the ground consolidation and pore-water seepage flow were analyzed.By using finite difference method,the relationship between the pore-water pressure gradients ■u/■z and ■^2u/■x^2was obtained.It was shown that this relationship was consistent with the mathematical and physical equation derived based on the continuity condition.This verified the correctness of the proposed equation for impeded drainage boundary condition.

关 键 词：砂垫层 不完全透水 边界条件 有限元 有限差分 

分 类 号：TU[建筑科学]