One‐dimensional consolidation analysis of layered soil with exponential flow under continuous drainage boundary

IF 3.4 2区工程技术 Q2 ENGINEERING, GEOLOGICAL

International Journal for Numerical and Analytical Methods in Geomechanics Pub Date : 2024-08-05 DOI:10.1002/nag.3820

Yi Zhang, Jia Wang, Mengfan Zong, Wenbing Wu, Siyu Cai, Zhongling Zong, Guoxiong Mei, Chenming Wang

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Abstract

To comprehensively consider the influence of boundary conditions, non‐Darcy flow, load forms, and soil stratification on soil consolidation, a one‐dimensional soil consolidation equation is established. By subdividing the soil layer and employing time discretization, the nonlinear consolidation equation is linearized, resulting in an analytical solution for layered soil foundation at any given time. Subsequently, an iterative approach for time solution is employed to obtain a semi‐analytical solution. The correctness of the solution is verified by comparison with solutions based on Darcy's flow and the semi‐analytical method under traditional drainage boundary conditions. Subsequently, the influence of interface parameters, loading conditions, flow index, and other factors on consolidation characteristics is analyzed. The results indicate that higher interface parameter values for continuous drainage boundaries correspond to faster average consolidation rates for stratified soil foundations, while these parameters have little effect on the time required for complete consolidation of the soil layers. Improved boundary drainage performance amplifies the influence of exponential flow on pore water pressure and average consolidation degree. Conversely, poor boundary drainage performance diminishes the impact of exponential flow on soil consolidation, rendering it negligible. Moreover, faster loading rates accentuate the influence of the flow index on the average consolidation degree defined by pore pressure.

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连续排水边界下具有指数流的层状土壤的一维固结分析

为了全面考虑边界条件、非达西流、荷载形式和土壤分层对土壤固结的影响，建立了一维土壤固结方程。通过细分土层和时间离散化，将非线性固结方程线性化，从而得到任意给定时间内分层土基的解析解。随后，采用时间迭代法求解，得到半解析解。通过与传统排水边界条件下基于达西流和半解析法的求解进行比较，验证了求解的正确性。随后，分析了界面参数、加载条件、流动指数和其他因素对固结特性的影响。结果表明，连续排水边界的界面参数值越高，分层土壤地基的平均固结速度越快，而这些参数对土壤层完全固结所需的时间影响不大。边界排水性能的改善会放大指数流对孔隙水压力和平均固结度的影响。相反，边界排水性能差，指数流对土壤固结的影响就会减弱，甚至可以忽略不计。此外，加载速率越快，流动指数对以孔隙压力定义的平均固结度的影响就越大。

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

International Journal for Numerical and Analytical Methods in Geomechanics 工程技术-材料科学：综合

CiteScore

6.40

自引率

12.50%

发文量

160

审稿时长

9 months

期刊介绍： The journal welcomes manuscripts that substantially contribute to the understanding of the complex mechanical behaviour of geomaterials (soils, rocks, concrete, ice, snow, and powders), through innovative experimental techniques, and/or through the development of novel numerical or hybrid experimental/numerical modelling concepts in geomechanics. Topics of interest include instabilities and localization, interface and surface phenomena, fracture and failure, multi-physics and other time-dependent phenomena, micromechanics and multi-scale methods, and inverse analysis and stochastic methods. Papers related to energy and environmental issues are particularly welcome. The illustration of the proposed methods and techniques to engineering problems is encouraged. However, manuscripts dealing with applications of existing methods, or proposing incremental improvements to existing methods – in particular marginal extensions of existing analytical solutions or numerical methods – will not be considered for review.

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