Nonlinear consolidation of arbitrary layered soil with continuous drainage boundary: An approximate closed-form solution

IF 3.3 2区 工程技术 Q2 ENGINEERING, GEOLOGICAL Soils and Foundations Pub Date : 2023-12-16 DOI:10.1016/j.sandf.2023.101406
Zongqin Wang , Yunpeng Zhang , Mengfan Zong , Tao Wu , Wenbing Wu , Guoxiong Mei , Shengtao Zhou
{"title":"Nonlinear consolidation of arbitrary layered soil with continuous drainage boundary: An approximate closed-form solution","authors":"Zongqin Wang ,&nbsp;Yunpeng Zhang ,&nbsp;Mengfan Zong ,&nbsp;Tao Wu ,&nbsp;Wenbing Wu ,&nbsp;Guoxiong Mei ,&nbsp;Shengtao Zhou","doi":"10.1016/j.sandf.2023.101406","DOIUrl":null,"url":null,"abstract":"<div><p>Based on the double nonlinear consolidation constitutive associated with the compression and permeability coefficients, presented by Mesri and Rokhsar (1974), this paper derives an approximate closed-form solution for the one-dimensional nonlinear consolidation of the arbitrary layered soils incorporating the continuous drainage boundary condition. The approximate closed-form solution is obtained by the homogenization of the boundary conditions and eigenfunction method. A model test is conducted to justify the rationality of the approximation and the continuous drainage condition utilized in this study. The calculated results are also compared with those acquired from the simplified analytical solution and the finite difference method. A parametric study is conducted to investigate the influence of various parameters on the consolidation process. The most significant finding is that the influence of <span><math><mrow><msub><mi>N</mi><mtext>q</mtext></msub></mrow></math></span> appears to be completely different for the cases when <span><math><mrow><mrow><msub><mi>C</mi><mtext>c</mtext></msub><mo>/</mo><msub><mi>C</mi><mtext>k</mtext></msub></mrow><mo>&gt;</mo><mn>1</mn></mrow></math></span> and <span><math><mrow><mrow><msub><mi>C</mi><mtext>c</mtext></msub><mo>/</mo><msub><mi>C</mi><mtext>k</mtext></msub></mrow><mo>&lt;</mo><mn>1</mn></mrow></math></span>. When <span><math><mrow><mrow><msub><mi>C</mi><mtext>c</mtext></msub><mo>/</mo><msub><mi>C</mi><mtext>k</mtext></msub></mrow><mo>&gt;</mo><mn>1</mn></mrow></math></span>, the increase of <span><math><mrow><msub><mi>N</mi><mtext>q</mtext></msub></mrow></math></span> shows an adverse influence on the consolidation, whereas the influence becomes positive when <span><math><mrow><mrow><msub><mi>C</mi><mtext>c</mtext></msub><mo>/</mo><msub><mi>C</mi><mtext>k</mtext></msub></mrow><mo>&lt;</mo><mn>1</mn></mrow></math></span>. The approximate solution derived herein offers a rigorous analytical approach for the double nonlinear consolidation problems of arbitrary layered soils, providing an effective benchmark for comparison and verification of future sophisticated numerical approaches.</p></div>","PeriodicalId":21857,"journal":{"name":"Soils and Foundations","volume":"64 1","pages":"Article 101406"},"PeriodicalIF":3.3000,"publicationDate":"2023-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S003808062300135X/pdfft?md5=b85711ac79573054859b226f0e239bc7&pid=1-s2.0-S003808062300135X-main.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Soils and Foundations","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S003808062300135X","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, GEOLOGICAL","Score":null,"Total":0}
引用次数: 0

Abstract

Based on the double nonlinear consolidation constitutive associated with the compression and permeability coefficients, presented by Mesri and Rokhsar (1974), this paper derives an approximate closed-form solution for the one-dimensional nonlinear consolidation of the arbitrary layered soils incorporating the continuous drainage boundary condition. The approximate closed-form solution is obtained by the homogenization of the boundary conditions and eigenfunction method. A model test is conducted to justify the rationality of the approximation and the continuous drainage condition utilized in this study. The calculated results are also compared with those acquired from the simplified analytical solution and the finite difference method. A parametric study is conducted to investigate the influence of various parameters on the consolidation process. The most significant finding is that the influence of Nq appears to be completely different for the cases when Cc/Ck>1 and Cc/Ck<1. When Cc/Ck>1, the increase of Nq shows an adverse influence on the consolidation, whereas the influence becomes positive when Cc/Ck<1. The approximate solution derived herein offers a rigorous analytical approach for the double nonlinear consolidation problems of arbitrary layered soils, providing an effective benchmark for comparison and verification of future sophisticated numerical approaches.

查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
具有连续排水边界的任意层状土壤的非线性固结:近似闭式解法
基于 Mesri 和 Rokhsar(1974 年)提出的与压缩系数和渗透系数相关的双非线性固结构造,本文推导出了包含连续排水边界条件的任意层状土壤一维非线性固结的近似闭式解。近似闭式解是通过边界条件同质化和特征函数法获得的。为了证明本研究中使用的近似值和连续排水条件的合理性,进行了模型试验。计算结果还与简化分析法和有限差分法得出的结果进行了比较。还进行了参数研究,以探讨各种参数对固结过程的影响。最重要的发现是,在 Cc/Ck>1 和 Cc/Ck<1 两种情况下,Nq 的影响似乎完全不同。 当 Cc/Ck>1 时,Nq 的增加会对固结产生不利影响,而当 Cc/Ck<1 时,Nq 的增加则会对固结产生积极影响。 本文得出的近似解为任意层状土的双非线性固结问题提供了一种严格的分析方法,为未来复杂数值方法的比较和验证提供了一个有效的基准。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 去求助
来源期刊
Soils and Foundations
Soils and Foundations 工程技术-地球科学综合
CiteScore
6.40
自引率
8.10%
发文量
99
审稿时长
5 months
期刊介绍: Soils and Foundations is one of the leading journals in the field of soil mechanics and geotechnical engineering. It is the official journal of the Japanese Geotechnical Society (JGS)., The journal publishes a variety of original research paper, technical reports, technical notes, as well as the state-of-the-art reports upon invitation by the Editor, in the fields of soil and rock mechanics, geotechnical engineering, and environmental geotechnics. Since the publication of Volume 1, No.1 issue in June 1960, Soils and Foundations will celebrate the 60th anniversary in the year of 2020. Soils and Foundations welcomes theoretical as well as practical work associated with the aforementioned field(s). Case studies that describe the original and interdisciplinary work applicable to geotechnical engineering are particularly encouraged. Discussions to each of the published articles are also welcomed in order to provide an avenue in which opinions of peers may be fed back or exchanged. In providing latest expertise on a specific topic, one issue out of six per year on average was allocated to include selected papers from the International Symposia which were held in Japan as well as overseas.
期刊最新文献
Wellbore stability research based on transversely isotropic strength criteria in shale formation Efficient reliability analysis of unsaturated slope stability under rapid drawdown using XGBoost-based surrogate model Advancement ratio effect on screw pile performance in the bearing layer Spatial earth pressure analysis of clayey fill behind retaining wall in V-shaped gully terrain Instability of sand under a lateral extrusion stress path with different drainage conditions
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1