Improved Analytical Solution for Air-Boosted Vacuum Consolidation of Saturated Soil Using Eigenfunction Expansion Method

IF 2.2 3区综合性期刊 Q2 MULTIDISCIPLINARY SCIENCES

Symmetry-Basel Pub Date : 2022-08-23 DOI:10.3390/sym14091757

Liquan Xie, Zelong Liang, Guangrui Feng, Yanhong Li, Tongqing Wu

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引用次数: 2

Abstract

Soft foundation consolidation engineering applications and experimental studies have proven the effectiveness of the air–boosted vacuum preloading method (AVP). The sand well consolidation theory, a typical axisymmetric consolidation, is adapted to analyze the whole consolidation process of the saturated soil by air–boosted vacuum preloading. The present analytical solution for air–boosted vacuum consolidation of the saturated soil is more suitable for application in a deep soft foundation. With the solving method, the general solution through separation of variables is used, which is mathematically used for the homogeneous partial differential equations. However, the partial differential equations for solving the consolidation of the AVP method are nonhomogeneous. Therefore, the eigenfunction expansion method for nonhomogeneous equations is proposed and validated in this study. Results showed that the improved analytical solution by the eigenfunction expansion method is more consistent with the numerical solution than that of the previous method using the general solution by separation of variables, which leads to a lower error ratio of less than 2%. The improved analytical solution can be used to predict the consolidation of deep foundations by air–boosted vacuum preloading effectively.

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饱和土真空固结特征函数展开法的改进解析解

软基加固工程的应用和试验研究证明了空气增压真空预压法的有效性。砂井固结理论是一种典型的轴对称固结理论，适用于分析空气-真空预压饱和土的固结全过程。本文提出的饱和土气动真空固结的解析解更适用于深部软土地基。在求解方法中，使用了通过变量分离的一般解，该解在数学上用于齐次偏微分方程。然而，求解AVP方法固结的偏微分方程是非齐次的。因此，本文提出并验证了非齐次方程的本征函数展开方法。结果表明，用本征函数展开法改进的解析解比以前用分离变量的通解改进的解析法与数值解更一致，误差率低于2%。改进后的解析解可以有效地预测空气-真空预压对深层地基的固结。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Symmetry-Basel MULTIDISCIPLINARY SCIENCES-

CiteScore

5.40

自引率

11.10%

发文量

2276

审稿时长

14.88 days

期刊介绍： Symmetry (ISSN 2073-8994), an international and interdisciplinary scientific journal, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish their experimental and theoretical research in as much detail as possible. There is no restriction on the length of the papers. Full experimental and/or methodical details must be provided, so that results can be reproduced.