不连续和宽级配粗粒土应力折减系数的理论计算公式及其在渗透侵蚀判识中的应用

doi:10.3724/1000-6915.jrme.2025.1006

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Abstract The stress distribution between coarse and fine fractions is nonuniform in internally unstable soils, particularly in gap-graded and widely graded soils. Therefore, accurately estimating the stress reduction coefficient is essential for predicting the critical hydraulic gradient at which internal erosion initiates. For internally unstable coarse-grained soils with gap-graded and widely graded particle-size distributions, the erodible fine particles within the pores of the coarse-grain skeleton were initially assumed to carry no effective stress. Based on this assumption, a theoretical equation was derived to express the stress reduction coefficient as a function of porosity and erodible fine-particle content. In addition, constant-head upward seepage tests were conducted on coarse-grained soils with different gradations. The proposed equation was validated against the experimental results, including previously published data. The results demonstrate that the proposed equation provides more accurate predictions of the critical hydraulic gradient than previously published equations. It is applicable to gap-graded and widely graded coarse-grained soils with erodible fine-particle contents of 6%–20% and porosities of 0.25–0.55. Finally, the proposed equation was used to improve a previously published model describing the evolution of the critical hydraulic gradient under loading. The improved model effectively describes the evolution of both the critical hydraulic gradient and the average vertical effective stress under static and cyclic loading conditions, as demonstrated by previously published test data for coarse-grained soils. The proposed equation provides a theoretical basis for improving the reliability of seepage-erosion assessment in gap-graded and widely graded coarse-grained soils.

Key words： soil mechanics gap and widely graded coarse-grained soils stress reduction coefficient critical hydraulic gradient seepage erosion

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	Articles by authors
	ZHANG Zhao1
	2*
	ZHENG Honglin1
	MA Hao3
	ZHANG Zhao4
	ZHANG Yuan?ao1

Cite this article:

ZHANG Zhao1,2*,ZHENG Honglin1, et al. Theoretical equation to calculate stress reduction coefficient of gap and widely graded coarse-grained soils and their application in identifying seepage erosion[J]. , 2026, 45(11): 3441-3455.

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https://rockmech.whrsm.ac.cn/EN/10.3724/1000-6915.jrme.2025.1006 OR https://rockmech.whrsm.ac.cn/EN/Y2026/V45/I11/3441

[1] 刘杰. 土的渗透破坏及控制研究[M]. 北京：中国水利水电出版社，2014：1–247.(LIU Jie. Piping and seepage control of soil[M]. Beijing：China Water Power Press，2014：1–247.(in Chinese))

[2] RICHARDS K S，REDDY K R. Critical appraisal of piping phenomena in earth dams[J]. Bulletin of Engineering Geology and Environment，2007，66(4)：381–402.

[3] INDRARATNA B，ISRAR J，LI M. Inception of geohydraulic failures in granular soils—— An experimental and theoretical treatment[J]. Géotechnique，2018，68(3)：233–248.

[4] KEZDI A. Soil physics[M]. Amsterdam，the Netherlands：Elsevier Scientific Publication，1979：349–378.

[5] KENNEY T C，LAU D. Internal stability of granular filters[J]. Canadian Geotechnical Journal，1985，22(2)：215–225.

[6] 罗玉龙，李澳，张海彬，等. 不同层间系数条件下双层地基潜蚀可视化试验研究[J]. 岩石力学与工程学报，2024，43(1)：226–235. (LUO Yulong，LI Ao，ZHANG Haibin，et al. Visual experimental study on suffusion in double-layered soil under different retention ratios[J]. Chinese Journal of Rock Mechanics and Engineering，2024，43(1)：226–235.(in Chinese))

[7] SKEMPTON A W，BROGAN J M. Experiments on piping in sandy gravels[J]. Géotechnique，1994，44(3)：449–460.

[8] 王明年，江勇涛，张艺腾，等. 渗透侵蚀下砂性土细颗粒流失率预测方法[J]. 地下空间与工程学报，2021，17(6)：1 704–1 712. (WANG Mingnian，JIANG Yongtao，ZHANG Yiteng，et al. Prediction method for fine particle loss of sandy soil under seepage erosion[J]. Chinese Journal of Underground Space and Engineering，2021，17(6)：1 704–1 712.(in Chinese))

[9] 王明年，江勇涛，于丽，等. 砂性土细颗粒起动临界水力坡降计算方法[J]. 岩土力学，2020，41(8)：2 515–2 524. (WANG Mingnian，JIANG Yongtao，YU Li，et al. Analytical solution of startup critical hydraulic gradient of fine particles migration in sandy soil[J]. Rock and Soil Mechanics，2020，41(8)：2 515–2 524.(in Chinese))

[10] ISRAR J，INDRARATNA B. Study of critical hydraulic gradients for seepage-induced failures in granular soils[J]. Journal of Geotechnical and Geoenvironmental Engineering，2019，145(7)：1–15.

[11] MOFFAT R，FANNIN R J. A hydromechanical relation governing the internal stability of cohesionless soil[J]. Canadian Geotechnical Journal，2011，8(3)：413–424.

[12] 戴邵衡，张升，童晨曦，等.循环荷载下染色标定砂土内部侵蚀试验研究[J]. 岩石力学与工程学报，2022，41(2)：423–432. (DAI Shaoheng，ZHANG Sheng，TONG Chenxi，et al. Experimental study on internal erosion of dyed sands under cyclic loading[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(2)：423–432.(in Chinese))

[13] 吴良骥. 无粘性土管涌临界坡降的计算[J]. 水利水运工程学报， 1980，64(4)：90–95.(WU Liangji. Computation of the critical hydraulic gradient for piping of non-cohesive soil[J]. Hydro-science and Engineering，1980，64(4)：90–95.(in Chinese))

[14] 刘杰. 土的渗透稳定与渗流控制[M]. 北京：中国水利水电出版社，1992：97–126.(LIU Jie. Leakage stability and seepage control of soil[M]. Beijing：China Water Power Press，1992：97–126.(in Chinese))

[15] MORZ T，KARLIK E，KREITER S. An experimental setup for fluid venting in unconsolidated sediments：New insights to fluid mechanics and structures[J]. Sedimentary Geology，2007，196(1)：251–267.

[16] ZHOU J，BAI Y F，YAO Z X. A mathematical model for determination of the critical hydraulic gradient in soil piping[C]// GeoShanghai 2010 International Conference.Shanghai：ASCE，2010：239–244.

[17] HUANG Z，BAI Y C，XU H J. A theoretical model to predict suffusion-induced particle movement in cohesionless soil under seepage flow[J]. European Journal of Soil Science，2021，72(3)：1 395–1 409.

[18] FRY J J. Lessons on internal erosion in embankment dams from failures and physical model[C]// The 8th International Conference on Scour and Erosion. London：[s. n.]，2016：41–58.

[19] INDRARATNA B，ISRAR J，RUJIKIATKAMIORN C. Geometrical method for evaluating the internal instability of granular filters based on constriction size distribution[J]. Journal of Geotechnical and Geoenvironmental Engineering，2015，141(10)：1–14.

[20] KE L，TAKAHASHI A. Strength reduction of cohesionless soil due to internal erosion induced by one-dimensional upward seepage flow[J]. Soils and Foundations，2012，52(4)：698–711.

[21] YANG K H，WANG J Y. Experiment and statistical assessment on piping failures in soils with different gradations[J]. Marine Georesources and Geotechnology，2017，35(4)：512–527.

[22] LIANG Y，ZENG C，WANG J J，et al. Constant gradient erosion apparatus for appraisal of piping behavior in upward seepage flow[J]. Geotechnical Testing Journal，2017，40(4)：630–642.

[23] AHLINHAN M F，ACHMUS M. Experimental investigation of critical hydraulic gradients for unstable soils[C]// The 5th International Conference on Scour and Erosion. San Francisco：ASCE，2010： 599–608.

[24] DIAO X F，CAI G Q，LIU T，et al. Coupled computational fluid dynamics-discrete-element method investigation of soil contact erosion under cyclic hydraulic loading：A multiscale perspective[J/OL]. Journal of Rock Mechanics and Geotechnical Engineering，2025，https: // doi.org/10.1016/j.jrmge.2025.07.037.

[25] MU L L，ZHANG P Y，SHI Z H，et al. Coupled CFD-DEM investigation of erosion accompanied by clogging mechanism under different hydraulic gradients[J]. Computers and Geotechnics，2023，153：1–21.

[26] KANG J，REN J，GAN L. Effects of skeleton particle shape and non-erodible particle content on the suffusion mechanism and hydraulic conductivity evolution of sandy soil[J]. Journal of Hydrology，2026，664：1–15.

[27] JIANG X G，WÖRMAN A，CHEN X Q. Internal erosion of debris-flow deposits triggered by seepage[J]. Engineering Geology，2023，314：1–12.

[28] DHAMNE R R，DISFANI M M，WAUTIER A. Micro-scale investigation of the role of fabric on internal stability of gap-graded soils[J]. Computers and Geotechnics，2026，190：1–24.

[29] COTE J，KONRAD J M. Assessment of the hydraulic characteristics of unsaturated base-course materials：A practical method for pavement engineers[J]. Canadian Geotechnical Journal，2003，40(1)：121–136.

[30] 中华人民共和国国家标准编写组. GB/T 50145—2007 土的工程分类标准[S]. 北京：中国计划出版社，2007.(The National Standards Compilation Group of the People¢s Republic of China. GB/T 50145—2007 Standard for engineering classification of soil[S]. Beijing：China Planning Press，2007.(in Chinese))

[31] 中华人民共和国国家标准编写组. GB/T 50123—2019 土工试验方法标准[S]. 北京：中国计划出版社，2019.(The National Standards Compilation Group of the People¢s Republic of China. GB/T 50123—2019 Standard for geotechnical testing method[S]. Beijing：China Planning Press，2019.(in Chinese))

[32] 刘孟适，罗强，郭建湖，等. 过渡型粗粒土渗透变形试验及破坏类型判别[J]. 岩石力学与工程学报，2017，36(12)：3 102–3 110. (LIU Mengshi，LUO Qiang，GUO Jianhu，et al. Experiment on seepage deformation of the transitional coarse grained soil and criterion of failure type[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(12)：3 102–3 110.(in Chinese))

[33] 罗玉龙，张兴杰，张海彬，等. 深厚覆盖层地基潜蚀研究综述[J]. 岩土力学，2022，43(11)：3 094–3 106.(LUO Yulong，ZHANG Xingjie，ZHANG Haibin，et al. Review of suffusion in deep alluvium foundation[J]. Rock and Soil Mechanics，2022，43(11)：3 094–3 106.(in Chinese))

[34] SHIRE T，O¢SULLIVAN C，HANLEY K J，et al. Fabric and effective stress distribution in internally unstable soils[J]. Journal of Geotechnical and Geoenvironmental Engineering，2014，140(12)：1–11.

[35] ZHANG P Y，MU L L，HUANG M S. A coupled CFD-DEM investigation into hydro-mechanical behaviour of gap-graded soil experiencing seepage erosion considering cyclic hydraulic loading[J]. Journal of Hydrology，2023，624：1–24.

[36] ZHAO Y，WU Q X，CHEN W Y，et al. Mesoscopic mechanisms of anisotropic suffusion behaviors of gap-graded soil：Identifying preferential suffusion paths based on strong-force chains and anisotropic pore structures[J]. Computers and Geotechnics，2026，191：1–15.