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General analytical solutions for one-dimensional large strain consolidation of soft soils under electro-osmosis–surcharge preloading
Soils and Foundations ( IF 3.3 ) Pub Date : 2022-09-07 , DOI: 10.1016/j.sandf.2022.101211
Wenhao Jiang , Shangqi Ge , Xiao Huang , Zhen Chen , Jiangshan Li

In this study, the governing equation for one-dimensional large strain consolidation of soft soils under electro-osmosissurcharge preloading is derived with some assumptions, and the general analytical solution is proposed for the first time by using the methods of algebraic transformation and separation variable. The expressions for the specific analytical solutions under several common cases in foundation treatment are developed. Besides, the correctness of the proposed analytical solutions is verified by comparing them with the existing analytical solutions and finite difference solution. Finally, based on the proposed analytical solutions, the effects of effective voltage Vm, the ratio of electro-osmosis (EO) conductivity to hydraulic conductivity ke/kv and volume compressibility coefficient mv1 on the consolidation behaviors are analyzed. It is found that the increase of Vm increases the absolute values of excess pore water pressure (EPWP) and hence the settlement increases. Furthermore, the increasing ratio of ke/kv leads to larger absolute values of EPWP generated in the soil, resulting in an increase of settlement. The consolidation degree Us defined by settlement based on small strain and large strain models decreases with the increase of mv1, and both the differences of Us and settlement between the two consolidation theories increase with the increase of mv1. In conclusion, the proposed analytical solution is simple in form and practical, which can be adopted to analyze the one-dimensional large strain consolidation behaviors under electro-osmosis–surcharge preloading.



中文翻译:

电渗超载预压下软土一维大应变固结的一般解析解

本研究在一定假设条件下推导了电渗-超载预压作用下软土一维大应变固结控制方程,并首次利用代数变换和分离的方法提出了一般解析解。多变的。建立了地基处理中几种常见情况下具体解析解的表达式。此外,通过将所提出的解析解与现有解析解和有限差分解进行比较,验证了所提出解析解的正确性。最后,基于所提出的解析解,有效电压的影响, 电渗透 (EO) 电导率与水力电导率的比值ķe/ķv和体积压缩系数v1对整合行为进行了分析。发现增加增加超孔隙水压力(EPWP)的绝对值,因此沉降增加。此外,增加的比例ķe/ķv导致土壤中产生的EPWP绝对值较大,导致沉降增加。巩固度üs基于小应变和大应变模型定义的沉降随着v1,并且两者的差异üs两种固结理论之间的沉降随着v1. 综上所述,所提出的解析解形式简单、实用,可用于分析电渗超载预压下的一维大应变固结行为。

更新日期:2022-09-07
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