锅盖效应下双层非饱和路基瞬态响应半解析研究

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (1461 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Addressing the subgrade featuring a high-saturation upper layer and a low-saturation lower layer induced by the pot cover effect, this paper simplifies the covering layer as an impervious boundary and the unsaturated subgrade into a pot cover layer and a non-pot cover layer, thereby establishing a one-dimensional transient response analysis model for a double-layer unsaturated soil column. First, the displacement field is decomposed into its static and dynamic components, and the boundary conditions are rendered homogeneous. The characteristic equation is then solved to obtain the system?s eigenvalues and eigenfunctions. Finally, the method of undetermined coefficients and precise time integration method are used to directly provide a semi-analytical solution to the problem in the time domain, which can effectively avoid the numerical instability issues associated with the Laplace method. The correctness of the model and solution in this paper is verified through degeneration. The results of the example calculations show that the pot cover effect markedly alters the pore water pressure response under dynamic loading. As the water content of the pot cover layer increases, both the excess pore water pressure and the solid displacement increase. When the water content is nearly saturated, the peak values of pore pressure can reach 14.5 times the initial water content, respectively. Therefore, in engineering practice, it is necessary to pay attention to the dynamic disasters caused by the pot cover effect.

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	ZHAO Yun1*
	JI Zijie1
	CHEN Zhanglong2
	SHAN Zhendong3
	LING Daosheng4
	XU Ping5

Cite this article:

ZHAO Yun1*,JI Zijie1,CHEN Zhanglong2, et al. A semi-analytical model for transient response of double-layer unsaturated subgrade under pot cover effect[J]. , 2026, 45(9): 2863-2874.

URL:

https://rockmech.whrsm.ac.cn/EN/Y2026/V45/I9/2863

[1] SHENG D C，ZHANG S，NIU F J. et al. A potential new frost heave mechanism in high-speed railway embankments[J]. Geotechnique，2014，64(2)：144–154.
[2] NIU F，LI A，LUO J，et al. Soil moisture，ground temperatures and deformation of a high-speed railway embankment in Northeast China[J]. Cold Regions Science and Technology，2016，133：7–14.
[3] 李强，姚仰平，韩黎明，等. 土体的“锅盖效应”[J]. 工业建筑，2014，44(2)：69–71.(LI Qiang，YAO Yangping，HAN Liming. et al. Pot-cover effect of soil[J]. Industrial Construction，2014，44(2)：69–71.(in Chinese))
[4] YAO Y，LI F，LAI Y. Disaster-causing mechanism and prevention methods of “pot cover effect”[J]. Acta Geotechnica，2023，18(3)：1 135–1 148.
[5] ZHANG S，TENG J，HE Z，et al. Canopy effect caused by vapour transfer in covered freezing soils[J]. Géotechnique，2016，66(11)：927–940.
[6] TENG J，SHAN F，HE Z，et al. Experimental study of ice accumulation in unsaturated clean sand[J]. Géotechnique，2019，69(3)：251–259.
[7] 刘建龙，滕继东，张升，等. 气态水迁移诱发非饱和粗粒土冻胀的试验研究[J]. 岩土工程学报，2021，43(7)：1 297–1 305.(LIU Jianlong，TENG Jidong，ZHANG Sheng，et al. Experimental study on frost heave in unsaturated coarse-grained soil caused by vapour transfer[J]. Chinese Journal of Geotechnical Engineering，2021，43(7)：1 297–1 305.(in Chinese))
[8] LUO T，CHEN H，YAO Y P，et al. Development of pot-cover effect apparatus with freezing-thawing cycles[J]. Science China Technological Sciences，2019，62(9)：1 636–1 648.
[9] LUO T，QU X，WANG N，et al. Pot cover effect and its prevention：An experimental study in the field[J]. Cold Regions Science and Technology，2019，167：102845.
[10] YAO Y P，WANG L. Double pot cover effect in unsaturated soils[J]. Acta Geotechnica，2019，14(4)：1 037–1 047.
[11] TONG R，FU H，SONG E. Modeling and numerical analysis of the canopy effect with time-varying top boundary conditions of soil with an ice-water-air multiphase zone[J]. Computer and Geotechnics，2022；146：104703.
[12] FU H，SONG E，TONG R. A numerical model for hydrothermal transport in unsaturated freezing soils considering thermodynamics equilibrium[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2023，47(5)：736–758.
[13] 张明礼，张瑞玲，冯德刚，等. 寒区工程锅盖效应病害调查与防治研究进展[J]. 科学技术与工程，2021，21(19)：7 863–7 873. (ZHANG Mingli，ZHANG Ruiling，FENG Degang，et al. Engineering diseases investigation and research progress on prevention of the pot-cover effect in cold regions[J]. Science Technology and Engineering，2021，21(19)：7 863–7 873.(in Chinese))
[14] LO W，SPOSITO G，MAJER E. Wave propagation through elastic porous media containing two immiscible fluids[J]. Water Resources Research，2005，41(2)：W02025.
[15] ZHANG M，ZHANG R，CHOU Y，et al. Feasibility experiment and simulation on controlling the “pot cover effect” of subgrade in seasonally frozen regions by capillary barrier layer[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2025，49，2 313–2 338.
[16] LU Z，FANG R，YAO H，et al. Dynamic responses of unsaturated half‐space soil to a moving harmonic rectangular load[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2018，42(9)：1 057–1 077.
[17] ZHANG M，ZHAO C，XU C. Lateral dynamic response of pile group embedded in unsaturated soil[J]. Soil Dynamics and Earthquake Engineering，2021，142：106559.
[18] YE Z，AI Z Y. Poroelastodynamic response of layered unsaturated media in the vicinity of a moving harmonic load[J]. Computers and Geotechnics，2021，138：104358.
[19] BABUŠKA I，AZIZ A K. On the angle condition in the finite element method[J]. SIAM Journal on Numerical Analysis，1976，13(2)，214–226.
[20] LING D，ZHU S，SHAN Z，et al. Analytical solutions for consolidation of unsaturated soil with time-dependent boundary conditions[J]. International Journal of Geomechanics，2021，21(9)：04021175.
[21] BUFLER H. Theory of elasticity of a multilayered medium[J]. Journal of Elasticity，1971，1(2)：125–143.
[22] ZHONG W X，WILLIAMS F W. A precise time step integration method[J]. Journal of Mechanical Engineering Science，1994，208(6)：427–430.
[23] ZHAO Y，CHEN X M，CHEN Z，et al. A semianalytical solution for the transient response of one-dimensional unsaturated single-layer porous media with general boundary conditions[J]. Journal of Engineering Mechanics，2024，150(6)：04024024.
[24] NARAYANAN G V，BESKOS D E. Numerical operational methods for time-dependent linear problems[J]. International Journal for Numerical Methods in Engineering，1982，18(12)：1 829–1 854.
[25] LI P，SCHANZ M. Wave propagation in a 1D partially saturated poroelastic column[J]. Geophysical Journal International. 2011，184(3)：1 341–1 353.
[26] 姚仰平，王琳，王乃东. 干寒区锅盖效应致灾特征及案例分析[J]. 工业建筑，2016，46(9)：21–24.(YAO Yangping.，WANG Lin，WANG Naidong. Analysis of disaster characteristics and cases of pot-cover effect in dry and cold areas[J]. Industrial Construction，2016，46(9)：21–24.(in Chinese))
[27] ZHAO Y，CHEN X，CHEN Z，et al. A semi-analytical solution for the transient response of one-dimensional saturated single-layer porous media with general boundary conditions[J]. Transportation Geotechnics，2023：101006.
[28] 卢正. 交通荷载作用下公路结构动力响应及路基动强度设计方法研究[博士学位论文][D]. 武汉：中国科学院武汉岩土力学研究所，2009.(LU Zheng. Study on the dynamic responses of highway structure layers under traffic loads and the design method of dynamic strength[Ph. D. Thesis] [D]. Wuhan：Institute of Rock and Soil Mechanics，Chinese Academy of Sciences，2009.(in Chinese))
[29] SHAN Z，XIE Z，DONG R，et al. An analytical solution for the dynamic response of a seawater-sloping seabed-bedrock system under an oblique incident P wave[J]. International Journal for Numerical and Analytical Methods in Geomechanics，2023，47：2 136–2 152.
[30] 卜文杰. 冻融循环下路基粉质砂土力学特性研究[硕士学位论文][D]. 上海：东华理工大学，2022.(BU Wenjie. Study on mechanical properties of subgrade silty sand under freeze-thaw cycles[M. S. Thesis][D]. Shanghai：East China University of Technology，2022.(in Chinese))