饱和土一维固结的电阻网络模拟  

Resistance network analog for one-dimensional consolidation of saturated soil

作　　者：谢新宇[1,2] 王龙[1] 刘开富[2] 

机构地区：[1]浙江大学软弱土与环境土工教育部重点实验室,杭州310058 [2]浙江理工大学建筑工程学院,杭州310018

出　　处：《岩土力学》2011年第11期3455-3460,共6页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(No.51079126);教育部科学技术研究重点资助项目(No.210089);浙江省自然科学基金资助项目(No.Y1090971)

摘　　要：基于Liebmann电阻网络模拟原理,研究了饱和土体的一维固结问题,编制相应的Matlab程序进行一维固结计算分析。给出了电阻网络模拟中电压与固结过程中超静孔隙水压力的对应关系以及模型建立和程序编制的完整过程,并模拟了单、双面排水情形下的一维Terzaghi固结问题。模拟过程表明,利用Liebmann电阻网络模拟结果与解析解吻合得较好。分析了时间步距Δt改变以及网格Δz划分精细程度影响因素作用下,亦即收敛系数β值改变时的模拟结果与解析解的差异;探讨了Liebmann电阻网络模拟在固结问题中的进一步推广应用。The one-dimensional consolidation problem is studied based on principles of Liebmann’s resistance network method.A Matlab procedure is programmed to analyze pore water pressure in saturated soils.Details about the similarity between voltage in resistance network and excess pore water pressure in consolidation phenomena are presented.A Matlab procedure is used to simulate the single and double-drainage one dimensional consolidation problem respectively.It is shown that the simulation is practically perfect compared with the consolidation solution.The differences between analog results and analytical solutions under effects of variable Δt and the fine level of meshing Δz are analyzed and discussed.It is suggested that the smaller value of β the more obvious of convergence and accurate of the analog.It is considered that the applications of Liebmann’s resistance network can be extended to more complex situation.

关 键 词：饱和土 Liebmann电阻网络 一维固结 MATLAB程序 

分 类 号：TU431.7[建筑科学—岩土工程]