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电阻网法求解固结问题研究

Study on Resistance Network Method Solving Consolidation Problem

【作者】 王龙

【导师】 谢新宇;

【作者基本信息】 浙江大学 , 岩土工程, 2011, 硕士

【摘要】 土体固结问题的研究一直是岩土工程研究的热点之一,且取得了许多研究成果。本文在前人工作的基础上引入基于Liebmann原理的电阻网法,同时运用电元件及运算电路方法分别对土体固结问题进行了研究。基于现有的理论成果,首先运用电阻网法对饱和土均质及层状地基的一维固结问题进行了分析和讨论,编制了相应的考虑初始孔压非均布、外荷载随时间变化的Matlab求解程序,并与已有的解析解进行了对比,验证了本文方法及程序的正确性。同时,讨论了影响电阻网法求解计算结果的因素,并提出了优化程序的量化指标。利用Matlab求解程序分析了某双层地基的一维固结问题,并讨论了某三层地基随土层厚度、压缩模量及渗透系数变化对固结性状的影响。然后,运用电阻网法及对应的Matlab求解程序对均质地基的二维固结问题进行了分析。由于多维固结问题解析解求解计算的复杂性,本文仅与前人的理论成果进行了对比,进一步论证了本文方法的可行。最后,本文探讨了电元件及相应运算电路在求解固结问题的应用,尝试运用电路模拟固结问题的可行性。本文首次将电路及相关理论引入土体固结问题的研究之中,使两者的共性得到关联,为研究土体固结性状问题提供了新的思路和方向,进一步发展和完善了固结理论。

【Abstract】 Study on the problem of soil consolidation has been always a research hotspot in Geotechnical Engineering, there are many results on the issue so far. In this paper, the electrical components, related operational circuit and the resistance network method which based on Liebmann’s principle were introduced to study on the consolidation problem.The resistance network method was used to study on one-dimensional homogeneous soil and layered foundation consolidation problems in this paper. Computation programs, considering the arbitrary distribution of initial pore pressure and the time-dependent loading condition, were developed by using Matlab programming. The reliability of the programs was verified through the comparisons with available analytical solutions. The factors which can be affected the simulation solutions were also analyzed and the quantitative indicators which use for the optimization procedure were proposed. Secondly, the resistance network method and the related program were applied to analyze the one-dimensional consolidation of double-layered soil problems. The consolidation behavior of a three-layer foundation was studied with the thickness, compression modulus and the permeability coefficient of the soil varying.Then, the homogeneous two-dimensional consolidation behavior of soil was analyzed by using resistance network method. The reliability of the programs was further confirmed through comparisons with available theoretical solutions as the analytical solutions being complex and inconvenient to apply. Finally, the electrical components and related operational circuit were applied to the consolidation problem.The circuit and related theory were introduced into the study on the problem of soil consolidation firstly which linked the similarities between the two. It provides a new way to study the consolidation problems of soil. This develops the consolidation theory and makes it more perfect.

  • 【网络出版投稿人】 浙江大学
  • 【网络出版年期】2011年 07期
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