One-dimensional Nonlinear Consolidation Analysis of Soft Soil Considering Variable Load and Non-Darcy Seepage

HU Min, CAO Wen-gui, CUI Peng-lu, XU Zan, LI Hui-xin, LI Zhao-shuai

Journal of Changjiang River Scientific Research Institute ›› 2024, Vol. 41 ›› Issue (2) : 151-158.

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Journal of Changjiang River Scientific Research Institute ›› 2024, Vol. 41 ›› Issue (2) : 151-158. DOI: 10.11988/ckyyb.20220973
Rock Soil Engineering

One-dimensional Nonlinear Consolidation Analysis of Soft Soil Considering Variable Load and Non-Darcy Seepage

  • HU Min, CAO Wen-gui, CUI Peng-lu, XU Zan, LI Hui-xin, LI Zhao-shuai
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Abstract

To investigate the nonlinear consolidation behavior of soft soil under varying loads in one dimension, we introduce a novel one-dimensional nonlinear compression model to establish the one-dimensional nonlinear consolidation equation in consideration of non-Darcy flow for saturated soft soil subjected to variable loads. The equation is solved using the finite difference method. The excellent agreement between the obtained results and the analytical solution confirms the validity and reliability of the equation. Based on the solution of the consolidation equation, we thoroughly examine the effects of non-Darcy seepage parameters (represented by m and i1), the initial compressibility coefficient of the soil, the ratio of compression index to permeability index, as well as the rate and form of external load, on soil consolidation. The results demonstrate that an increase in the non-Darcy parameters (m and i1) and the ratio of compression index to permeability index leads to a decrease in the consolidation rate of the soil. Moreover, a higher initial compression coefficient or larger loading rate results in a faster consolidation rate. In comparison with existing models, the established model in this study eliminates the need for measuring the initial effective stress of the soil. Consequently, it can be more easily applied to engineering.

Key words

soft soil / non-Darcy flow / one-dimensional nonlinear consolidation / variable load action

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HU Min, CAO Wen-gui, CUI Peng-lu, XU Zan, LI Hui-xin, LI Zhao-shuai. One-dimensional Nonlinear Consolidation Analysis of Soft Soil Considering Variable Load and Non-Darcy Seepage[J]. Journal of Changjiang River Scientific Research Institute. 2024, 41(2): 151-158 https://doi.org/10.11988/ckyyb.20220973

References

[1] HANSBO S. Consolidation of Clay, with Special Reference to Influence of Vertical Sand Drains[C]∥Swedish Geotechnical Institute Proceeding. Stockholm: Swedish Geotechnical Institute, 1960: 45-50.
[2] SWARTZENDRUBER D. Modification of Darcy’s Law for the Flow of Water in Soils[J]. Soil Science, 1962, 93(1): 22-29.
[3] MILLER R J, LOW P E. Threshold Gradient for Water Flow in Clay Systems[J]. Soil Science Society of American Journal,1963, 27(6): 605-609.
[4] 谢海澜,武 强,赵增敏,等.考虑非达西流的弱透水层固结计算[J].岩土力学,2007,28(5):1061-1065.(XIE Hai-lan,WU Qiang,ZHAO Zeng-min,et al. Consolidation Computation of Aquitard Considering Non-Darcy Flow[J]. Rock and Soil Mechanics, 2007, 28(5): 1061-1065.(in Chinese))
[5] DAVIS E H,RAYMOND G P. A Non-linear Theory of Consolidation[J]. Géotechnique,1965,15(2): 161-173.
[6] XIE K H, LI B H, LI Q L. A Nonlinear Theory of Consolidation under Time-Dependent Loading[C]∥Proceedings of 2nd International Conference on Soft Soil Engineering. Nanjing: Hohai University Press, 1996: 193-198.
[7] XIE K H, XIE X Y, JIANG W. A Study on One-dimensional Nonlinear Consolidation of Double-layered Soil[J]. Computers and Geotechnics, 2002, 29(2): 151-168.
[8]BARDEN L, BERRY P L. Consolidation of Normally Consolidated Clay[J]. Journal of the Soil Mechanics and Foundation Division, ASCE, 1965, 91(5): 15-35.
[9]MESRI G,ROKHSAR A. Theory of Consolidation for Clays[J]. Journal of the Geotechnical Engineering Division, ASCE, 1974, 100(8): 889-903.
[10]LI B,FANG Y G,OU Z F. Asymptotic Solution for the One-dimensional Nonlinear Consolidation Equation Including the Pore Evolution Effect[J]. International Journal of Geomechanics, 2018, 18(10): 04018125.1-04018125.13.
[11]吴思思,罗文强.考虑孔隙演变的软土一维非线性固结有限差分分析[J]. raybet体育在线 院报, 2022, 39(3): 118-124. (WU Si-si, LUO Wen-qiang. One-dimensional Nonlinear Consolidation Analysis of Soft Soil by Finite Difference Method Considering Pore Evolution[J]. Journal of Yangtze River Scientific Research Institute, 2022, 39(3): 118-124.(in Chinese))
[12]刘忠玉, 纠永志, 乐金朝, 等. 基于非Darcy渗流的饱和黏土一维非线性固结分析[J]. 岩石力学与工程学报, 2010, 29(11): 2348-2355. (LIU Zhong-yu, JIU Yong-zhi, LE Jin-chao, et al. One-dimensional Nonlinear Consolidation Analysis of Saturated Clay Based on Non-Darcy Flow[J]. Chinese Journal of Rock Mechanics and Engineering, 2010, 29(11): 2348-2355.(in Chinese))
[13]纠永志, 刘忠玉, 乐金朝, 等. 考虑非Darcy渗流和自重应力的一维固结分析[J]. 同济大学学报(自然科学版), 2012, 40(4): 541-548. (JIU Yong-zhi, LIU Zhong-yu, LE Jin-chao, et al. One-dimensional Consolidation with a Consideration of Non-Darcy Flow and Self-gravity Stress[J]. Journal of Tongji University (Natural Science), 2012, 40(4): 541-548.(in Chinese))
[14]李传勋,谢康和.考虑非达西渗流和变荷载影响的软土大变形固结分析[J].岩土工程学报,2015,37(6):1002-1009.(LI Chuan-xun,XIE Kang-he.Large-strain Consolidation of Soft Clay with Non-Darcian Flow by Considering Time-dependent Load[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(6): 1002-1009.(in Chinese))
[15]李传勋, 王昌建, 王 素, 等. 考虑非达西渗流的结构性软土非线性固结分析[J]. 江苏大学学报(自然科学版), 2017, 38(4): 472-478. (LI Chuan-xun, WANG Chang-jian, WANG Su, et al. Analysis on Nonlinear Consolidation of Structural Soft Soil by Considering Non-Darcian Flow[J]. Journal of Jiangsu University (Natural Science Edition), 2017, 38(4): 472-478.(in Chinese))
[16]李传勋,徐 超,谢康和.考虑非达西渗流和应力历史的土体非线性固结研究[J].岩土力学,2017,38(1):91-100.(LI Chuan-xun,XU Chao,XIE Kang-he.Nonlinear Consolidation of Clayed Soil Considering Non-Darcy Flow and Stress History[J]. Rock and Soil Mechanics, 2017, 38(1): 91-100.(in Chinese))
[17]黄文熙. 土的工程性质[M]. 北京: 水利电力出版社, 1983: 133-139. (HUANG Wen-xi. Engineering Properties of Soil[M]. Beijing: China Water and Power Press, 1983: 133-139.(in Chinese))
[18]HANSBO S. Aspects of Vertical Drain Design: Darcian or Non-Darcian Flow[J]. Geotechnique, 1997, 47(5): 983-992.
[19]李冰河, 王奎华, 谢康和,等. 软粘土非线性一维固结有限差分法分析[J]. 浙江大学学报(工学版), 2000, 34(4): 376-381. (LI Bing-he, WANG Kui-hua, XIE Kang-he, et al. One-dimensional Non-linear Consolidation Analysis of Soft Clay by FDM[J]. Journal of Zhejiang University (Engineering Science), 2000, 34(4): 376-381.(in Chinese))
[20]李冰河,谢康和,应宏伟,等.变荷载下软粘土非线性一维固结半解析解[J].岩土工程学报,1999,21(3):288-293.(LI Bing-he,XIE Kang-he,YING Hong-wei,et al. Semi-analytical Solution of One-dimensional Non-linear Consolidation of Soft Clay under Time Dependent Loading[J]. Chinese Journal of Geotechnical Engineering,1999,21(3):288-293.(in Chinese))
[21]林春秀. 基于微观结构的软粘土沉降计算研究[D]. 广州: 中山大学, 2004: 46-52.(LIN Chun-xiu. Study on Settlement Calculation of Soft Clay Based on Microstructure[D].Guangzhou: Sun Yat-sen University, 2004: 46-52.(in Chinese))
[22]谢康和, 郑 辉, C J Leo. 软黏土一维非线性大应变固结解析理论[J].岩土工程学报,2002,24(6):680-684. (XIE Kang-he, ZHENG Hui, LEO C J. An Analytical Theory for 1-D Nonlinear Large Strain Consolidation of Soft Clay[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(6): 680-684.(in Chinese))
[23]仇 超, 李传勋, 李红军. 单级等速加载下高压缩性软土非线性大应变固结解析解[J]. 岩土力学, 2021, 42(8): 2195-2206. (QIU Chao, LI Chuan-xun, LI Hong-jun. Analytical Solutions for One-dimensional Nonlinear Large-strain Consolidation of High Compressible Soil under a Ramp Loading[J]. Rock and Soil Mechanics, 2021, 42(8): 2195-2206.(in Chinese))
[24]卢萌盟, 谢康和, 王善勇. 多级加载下附加应力沿深度变化的单层地基一维固结(英文)[J]. 岩土工程学报, 2015, 37(2): 330-336. (LU Meng-meng, XIE Kang-he, WANG Shan-yong. 1-D Consolidation of a Single Soil Layer with Depth-dependent Stress by Multi-stage Loading[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(2): 330-336.(in Chinese))
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