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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
【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。
【Abstract】 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~2 was 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.
【Key words】 sand blanket; impeded drainage; boundary condition; finite element; finite difference;
- 【文献出处】 南京工业大学学报(自然科学版) ,Journal of Nanjing Tech University(Natural Science Edition) , 编辑部邮箱 ,2019年06期
- 【分类号】TU41
- 【下载频次】76