Viscoelastic solutions of one-dimensional consolidation for double-layered foundation with continuous drainage boundary

Journal Information

J. Hefei Univ. Tech. (Nat. Sci.), Feb.2025, Vol.48 No.2: 260-266

DOI: 10.3969/j.issn.1003-5060.2025.02.018

Authors

QIU Changhu $ ^{1} $, JIANG Mingjie $ ^{1} $, YANG Weitao $ ^{1} $, MEI Guoxiong $ ^{2} $

(1. School of Civil Engineering and Architecture, Guangxi University, Nanning 530004, China; 2. Ocean College, Zhejiang University, Zhoushan 316021, China)

Abstract and Keywords

Abstract: Based on the continuous drainage boundary, combined with Terzaghi's one-dimensional consolidation theory, the one-dimensional consolidation model for double-layered foundation under external loads is established, in which the Merchant rheological model is used to simulate the soil viscoelasticity. The analytical solutions of the governing equation in the frequency domain are derived by applying the boundary transformation method and Laplace transform, and the semi-analytical solutions of excess pore water pressure in soil element and total settlement of foundation in the time domain are calculated by using the Stehfest numerical inversion method. The semi-analytical expressions for the two kinds of consolidation degrees defined by settlement and pore water pressure are given, respectively. Subsequently, the validity and correctness of the proposed solutions are verified by comparison with the degradation results of the present method and the existing viscoelastic solutions of single foundation. Finally, the detailed parametric analyses are conducted to reveal the difference between the two kinds of average consolidation degrees and the influences of interface parameters, physical and mechanical properties of the soil and hydrogeological parameters on the consolidation process of foundation. The results show that the proposed viscoelastic solutions, compared with the existing elastic

Keywords: continuous drainage boundary; double-layered foundation; consolidation; viscoelasticity; semi-analytical solution

作者信息

邱昌虎 $ ^{1} $，蒋明杰 $ ^{1} $，杨伟涛 $ ^{1} $，梅国雄 $ ^{2} $

(1. 广西大学土木建筑工程学院，广西南宁 530004；2. 浙江大学海洋学院，浙江舟山 316021)

摘要和关键词

摘要: 文章基于连续排水边界,利用 Merchant 模型描述土体的黏弹性,并结合 Terzaghi 一维固结理论建立荷载作用下双层地基一维固结模型。通过边界转换法和 Laplace 变换推导频域内控制方程的解析解,利用 Stehfest 数值逆变换法得到时域内土体超孔隙水压力和沉降的半解析解,并依次给出沉降和孔隙水压力定义下 2 种固结度的半解析表达式。基于已有的单层黏弹性解,退化分析验证了解法的正确性。最后,通过算例分析探究 2 种定义下固结度的区别以及界面参数、土体物理力学性质和水文地质参数对地基固结过程的影响。结果表明:相较于已有的弹性解答,黏弹性解释了土体变形总是滞后于超孔隙水压力消散的现象;超孔隙水压力的消散速率随界面参数的增大而加快,黏滞系数越小且渗透系数越大时土体固结越快,但黏滞系数对固结的影响主要在中后期,渗透系数的影响则主要体现在前中期。该研究结果可为软土地基的沉降预测提供一定的理论参考。

关键词: 连续排水边界；双层地基；固结；黏弹性；半解析解

Funding

国家自然科学基金资助项目（52108309；52178321）；广西自然科学基金资助项目（2021GXNSFBA196091）

合肥工业大学学报(自然科学版)

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