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1.
Yi--> Tian Wenbing Wu Guosheng Jiang M. Hesham El Naggar Guoxiong Mei Meijuan Xu Rongzhu Liang 《国际地质力学数值与分析法杂志》2020,44(8):1170-1183
In engineering practice, a rapid loading rate can result in ground failure when the strength of soft soils is relatively low, and a multistage loading scheme is always utilized to deal with this situation. Firstly, under a multistage load and the continuous drainage boundary, an analytical solution of excess pore-water pressure and consolidation degree is obtained by virtue of the superposition formula of excess pore-water pressure, and a more general continuous drainage boundary under arbitrary time-dependent load is developed. Then, a comparison with existing analytical solutions is conducted to verify the present solution. A preliminary attempt on applying the continuous drainage boundary into the finite element model is made, and the feasibility of the numerical model for the one-dimensional consolidation under the continuous drainage boundary is verified by comparing the results calculated by FEM with that from present analytical solution. Finally, the consolidation behavior of soil is investigated in detail for different int erface parameters or loading scheme. The results show that, in land reclamation projects, a horizontal drain should be placed close to the boundary with a smaller interface parameter to improve the consolidation efficiency. The degree of consolidation is also related to the applied time-dependent load and interface parameters. 相似文献
2.
基于分段线性方法,建立了饱和软土一维自重固结模型（简称SWC模型）。该模型能考虑自重固结过程中土体的大变形效应和材料参数的非线性变化。将该模型的计算结果与相关解析解、现场试验及室内试验结果进行了对比验证,证明了SWC模型能准确计算出大变形和非线性条件下饱和软土的自重固结过程,包括沉降量、平均固结度、孔隙比分布和超孔隙水压力分布等参数随时间的变化过程。随后,以现场试验为基础,采用SWC模型对饱和软土自重固结的4个主要影响因素（即土体初始高度、边界排水条件、初始孔隙比和土粒相对密度）进行了参数分析。结果表明,上述4个参数对软土自重固结过程均具有重要影响：土体初始高度越高,则自重固结沉降量和最终平均应变值越大;边界排水条件对土体自重固结的速度有重要影响,但不影响自重固结的最终沉降量;初始孔隙比越大,则自重固结沉降量越大,其完成自重固结所需时间越短;土粒相对密度越大,则土体的最终沉降量越大,完成自重固结所需时间越短。 相似文献
3.
4.
Farhad Tabaddor 《国际地质力学数值与分析法杂志》1978,2(2):177-187
The problem of plates on consolidating soil is considered. Biot's three-dimensional consolidation theory, the generalization of Terzaghi's model, is employed to account for the consolidation process. A mathematical model is developed and the differential equations governing the system together with the proper boundary conditions are derived. A variational formulation of the problem and a convenient approximate method of solution are also presented. For numerical analysis, the problem of a rectangular plate on consolidating soil under various loading conditions is numerically solved and the effects of various physical factors on the settlements and the pore pressures are studied. 相似文献
5.
This paper presents semi-analytical solutions to Fredlund and Hasan’s one-dimensional consolidation for unsaturated soils under symmetric semi-permeable drainage boundary conditions. Two variables are introduced to transform two coupled governing equations of pore-air and pore-water pressures into an equivalent set of partial differential equations, which are easily solved by the Laplace transform. Then, the pore-air and pore-water pressures, and soil settlement are obtained in the Laplace domain. Crump’s method is adopted to perform the inverse Laplace transform in order to obtain semi-analytical solutions in time domain. It is shown that the present solution is more applicable to various types of drainage boundary conditions, and in a good agreement with existing solutions from the literature. Furthermore, several numerical examples are provided to investigate the consolidation behavior of an unsaturated single-layer soil with traditional drainage boundary (single or double), and single-sided and double-sided semi-permeable drainage boundaries. Finally, it illustrates the changes in pore-air and pore-water pressures and soil settlement with time at different values of symmetric semi-permeable drainage boundary conditions parameters. In addition, parametric studies are conducted by the variations of pore-air and pore-water pressures at different ratios of air-water permeability coefficient and the depth. 相似文献
6.
The study presents semi-analytical solutions of two-dimensional plane strain consolidation problem in unsaturated soils incorporating the lateral semipermeable drainage boundary by adopting Fourier sine series and Laplace transform. The two-dimensional plane strain consolidation equations in the form of two-order partial differential equations with three variables are firstly converted to two-order partial differential equations with two variables, which are similar to those of one-dimensional consolidation problem. The four-order ordinary differential equations about excess pore-air and excess pore-water pressures are got by applying Laplace transform and the substitution method. Then, the solutions of excess pore pressures and settlement are achieved in the Laplace transform domain. Afterwards, on the basis of Crump's method, the inverse Laplace transform is conducted to obtain the analytical solutions in time domain. The comparison is conducted to verify the exactness of the obtained solutions, and the two-dimensional plane strain consolidation property with the lateral semipermeable drainage boundary is illustrated and discussed. Parametric studies are demonstrated for the excess pore pressures and normalized settlement with the change of the boundary parameters, air-water and lateral-vertical permeability coefficients, and the distance and depth. It can be found that the lateral semipermeable drainage boundary impedes the consolidation rate obviously, and when different investigated parameters are adopted, the consolidation property is similar to each other under the later permeable and semipermeable drainage boundary conditions. 相似文献
7.
针对含水平排水砂垫层地基的固结问题,建立了线性加载下夹砂垫层地基的二维固结模型,并通过边界转换法、积分变换法给出了相应的半解析解。在通过对解答的退化以及数值法验证半解析解正确性的基础上,分析了砂垫层与地基土的几何及物理参数对地基固结的影响。研究表明：对于地基土,地基固结速率随土体水平渗透系数增大而提高,随地基宽度的增大而降低;对于砂垫层,固结速率随砂垫层厚度、水平渗透系数的增大而提高;对于外荷载,加荷速率越快,孔压达到峰值所需时间也越短,地基固结速率亦随之提高。此外,以地基顶面砂垫层为例,综合考虑砂垫层的渗透系数与厚度对砂垫层透水性的影响,当组合参数 时（ 、 、 、 分别为砂垫层厚度、水平渗透系数、土体宽度和竖向渗透系数）,砂垫层近似为完全排水边界。 相似文献
8.
将隧道周围土体视为均质连续各向同性的饱和弹性介质,采用保角变换的方法将含有隧道的半无限平面映射为同心圆环计算域。根据Terzaghi-Rendulic二维固结理论,建立隧道在不透水的情况下周围土体超孔隙水压力分布的控制方程。然后,采用分离变量法计算得到土体超孔隙水压力分布的解析解,最后,根据弹性理论计算得出隧道中线上方地表固结沉降的计算公式。结合算例,分析盾构施工扰动程度、土体渗透系数、土体弹性模量及隧道埋深等因素对隧道中心上方地表处固结沉降的影响。研究结果表明,地表固结沉降的增加值与隧道外侧初始超孔隙水压力值C0的变化量成正比例关系,施工扰动程度越大所引起的固结沉降越大;土体的渗透系数越大固结沉降速度越快,但土体的渗透系数与最终的地表固结沉降量无关;土体的弹性模量越大,最终的地表固结沉降量越小;隧道埋深越深,地表固结沉降所需时间越长,最终的地表固结沉降量也越大。 相似文献
9.
A numerical procedure is presented for the downdrag analysis of group piles which penetrate a consolidating upper soil layer to socket into a firm bearing stratum of finite stiffness. The settlement of the consolidating upper soil layer under a surcharge load is estimated using Terzaghi's one-dimensional consolidation theory. Parametric solutions are presented to show the influence of various parameters on the performance of the socketed pile groups in terms of the development of the induced downdrag forces and associated pile head settlements. In general, pile–soil–pile interaction has the beneficial effect of reducing the downdrag forces and settlements of the group piles when compared to the corresponding single pile values, provided that the soil settlements are not so large as to cause full slippage at the interface in all the piles. Reasonable agreement is obtained between the theoretical and experimental results for pile groups subjected to negative skin friction. 相似文献
10.
假定土体的应力-应变关系满足双曲线模型、渗透系数的降低与压缩系数的减小成正比以及初始有效应力沿深度均匀分布,推导出任意荷载下单层地基的非线性一维固结方程。结合具体的定解条件采用分离变量法求出土体有效应力的通解,并进一步求出超静孔隙水压力、按沉降定义的平均固结度Us以及按孔隙水压力定义的平均固结度Up的通解。根据通解求出梯形低频循环荷载作用下的解,并找出循环荷载作用下土体固结性状的影响因素。基于循环荷载作用下的解,采用FORTRAN语言编制了计算程序,计算并分析考虑土体本构关系非线性时的固结性状,以及反映土体本构特征的参数E和n对固结性状的影响。计算结果表明：①Us稍大于Up;②距排水平面越近,附加有效应力受加载方式的影响越明显,距排水平面越远则相反;③E和n对Us的影响很小,可以忽略不计;④E和n对Up和附加有效应力的影响较大且不容忽略。 相似文献
11.
Semi‐analytical solution to one‐dimensional consolidation for unsaturated soils with semi‐permeable drainage boundary under time‐dependent loading 
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下载免费PDF全文 This paper presents semi‐analytical solutions to Fredlund and Hasan's one‐dimensional consolidation of unsaturated soils with semi‐permeable drainage boundary under time‐dependent loadings. Two variables are introduced to transform two coupled governing equations of pore‐water and pore‐air pressures into an equivalent set of partial differential equations, which are easily solved by the Laplace transform. The pore‐water pressure, pore‐air pressure and settlement are obtained in the Laplace domain. Crump's method is adopted to perform the inverse Laplace transform in order to obtain semi‐analytical solutions in time domain. It is shown that the present solutions are more general and have a good agreement with the existing solutions from literatures. Furthermore, the current solutions can also be degenerated into conventional solutions to one‐dimensional consolidation of unsaturated soils with homogeneous boundaries. Finally, several numerical examples are provided to illustrate consolidation behavior of unsaturated soils under four types of time‐dependent loadings, including instantaneous loading, ramp loading, exponential loading and sinusoidal loading. Parametric studies are illustrated by variations of pore‐air pressure, pore‐water pressure and settlement at different values of the ratio of air–water permeability coefficient, depth and loading parameters. Copyright © 2017 John Wiley & Sons, Ltd. 相似文献
12.
目前关于城市固废的降解固结理论研究均沿用太沙基传统排水边界,但是这样不能完全描述垃圾填埋场中复杂的排水边界条件。因此,在已有的简化降解固结模型基础上引入连续排水边界条件,建立了新鲜面为连续排水边界的饱和城市固废一维降解固结模型。在此基础上,借助特征函数解偏微分方程得到了级数形式的解析解答,解的退化检验和收敛性判断初步验证了其合理性。解析解与已有解答的对比分析显示,引入连续排水边界条件后,超静孔压分布有显著的变化;且解析解可解决初始条件和边界条件的矛盾,能反映边界上孔压消散的时间效应。进一步的参数敏感性分析显示,通过调整界面参数可以模拟各种排水条件,获得从完全不排水到完全排水的连续解答。此外,从排水能力差异会改变降解固结发展速度出发,提出了一种保证填埋场稳定的可行策略。 相似文献
13.
以结构性较强的天然饱和软黏土为研究对象,考虑了沉积作用对其自重应力的影响,以及压缩性和渗透性的非线性变化,推导了任意加载条件下结构性土一维大应变固结控制方程,并采用半解析的方法对方程进行求解计算。再将其退化为无结构性的饱和软黏土固结解,与已有的大应变固结解进行了对比,验证了该解的正确性。最后将该半解析解计算结果与小应变固结理论解、不考虑结构性的固结理论解计算结果进行对比分析。结果表明：大应变固结理论的沉降计算值大于小应变固结理论的计算值,且二者的差值随着荷载的增加而增加;当考虑土体的结构性时,地表沉降计算值小于不考虑土体结构性的沉降计算值。 相似文献
14.
An analytical solution is presented in this paper to study the time‐dependent settlement behaviour of a rigid foundation resting on a transversely isotropic saturated soil layer. The governing equations for a transversely isotropic saturated soil, within Biot's poroelasticity framework, are solved by means of Laplace and Hankel transforms. The problem is subsequently formulated in the Laplace transform domain in terms of a set of dual integral equations that are further reduced to a Fredholm integral equation of the second kind and solved numerically. The developed analytical solution is validated via comparison with the existing analytical solution for an isotropic saturated soil case, and adopted as a benchmark to examine the sensitivities of the mesh refinement and the locations of truncation boundaries in the finite element simulations using ABAQUS. Particular attention is paid to the influences of the degree of soil anisotropy, boundary drainage condition, and the soil layer thickness on the consolidation settlement and contact stress of the rigid foundation. Copyright © 2009 John Wiley & Sons, Ltd. 相似文献
15.
Numerical performance of some finite element schemes for analysis of seepage in porous elastic media
Several finite element schemes for analysis of seepage in porous elastic media, based on different spatial and temporal discretization, were implemented in computer programs. Their numerical performance is evaluated by comparison with the exact solution for Terzaghi's problem of one-dimensional consolidation. 相似文献
16.
将含竖向排水体地基的三维固结变形问题等效为平面应变问题进行数值分析时,砂墙地基二维固结解析解答是合理确定其等效固结计算参数的重要依据。为辨析现有砂墙地基等应变固结近似解答的适用性,针对微单元土体严格的二维固结微分方程,考虑对地基固结有重要影响的井阻作用,以及涵盖完全透水和不完全透水的更一般边界面排水条件,推求得到了其自由应变解答。并与现有解答进行对比分析,同时,分析了泊松比效应以及水平和竖向排水对地基固结的影响。结果表明,现有砂墙地基的等应变固结解答虽然近似,但已有足够精确;砂墙地基以水平向固结为主,竖向固结几乎可以忽略不计;地基固结速率随着泊松比的增大而增大,在将竖向排水体等效为砂墙时,应考虑其作用影响。 相似文献
17.
基于Terzaghi一维固结理论,分析了考虑半透水边界条件的分数阶导数黏弹性饱和土层在随时间变化的任意荷载作用下一维固结问题。首先,应用Laplace变换联立求解饱和土层一维固结微分方程和分数阶Kelvin-Voigt黏弹性本构方程,推导出有效应力和沉降在Laplace变换域内的解析解,采用Crump方法进行Laplace逆变换,得到了时间域内的半解析解。然后将本文得到的半解析解分别退化为半透水边界条件下基于黏弹性假设的一维固结半解析解和双面透水边界条件下基于分数阶黏弹性假设的一维固结半解析解,结果与已有文献的半解析解相同,验证了本研究所提出解的可靠性。最后通过算例分别考察了半透水边界参数、分数阶黏弹性模型参数和荷载参数对饱和土层固结沉降的影响。研究表明,半透水边界条件参数、分数阶次与黏滞系数主要影响饱和土层固结的发展快慢,而饱和土层的最终沉降量主要受到土层压缩模量的影响;另外,饱和土层的固结规律与外荷载变化规律一致。 相似文献
18.
Factors Affecting Consolidation Related Prediction of Singapore Marine Clay by Observational Methods
The use of prefabricated vertical drains with preloading option is the most widely-used ground improvement method for the
improvement of marine clays in land reclamation projects. The assessment of the degree of consolidation of the marine clay
is of paramount importance prior to the removal of preload in such ground improvement projects. This analysis can be carried
out by means of observational methods with the use of field settlement plates and piezometer monitoring. Field settlement
monitoring data can be used to ascertain the settlement of the reclaimed fill from the time of initial installation. The field
settlement data can be analysed by the Asaoka method to predict the ultimate settlement of the reclaimed land under the surcharge
fill. Back-analysis of the field settlement data will enable the coefficient of consolidation due to horizontal flow to be
closely estimated. Piezometer monitoring data can be analysed to obtain the degree of consolidation of the improved marine
clay. Back-analysis of the piezometer data will also enable the coefficient of consolidation due to horizontal flow to be
estimated. The aim of this paper is to highlight the significance and impact of the various factors that affect prediction
by the Asaoka and piezometer assessment methods. The authors findings of the Asaoka method reveal that the magnitude of ultimate
settlement decreases and the degree of consolidation subsequently increases as a longer period of assessment is used in the
prediction. The degree of consolidation predicted by the piezometers is found to be in good agreement with the Asaoka method
for the early period of assessment. However as the assessment period increases, the piezometer indicates lower degree of consolidation
as compared to field settlement predictions. 相似文献
19.
对于围海造陆工程所开展的超载预压处理方法,地基处理效果通常采用后续变形大小来评价,其大小与超载比和卸载控制时间密切相关。针对天津滨海地区围海造陆工程所形成的典型的上软、下硬的双层软黏土地基,采用改装的固结仪进行了多种超载比和卸载控制时间的试验研究,提出了适宜的超载比和最佳超载作用时间。试验表明：双层软黏土地基超载比大于0.375,超载作用时间超过主固结时间时,超载卸除后地基变形以回弹变形为主,后续的工后沉降将明显减小,减小幅度可高达70%以上;超载卸除后的土体次固结系数明显减小,减小的幅度随超载比的增大、超载作用时间的增加而减小;不同于均质地基和上硬下软的双层地基,上软、下硬双层地基的工后沉降以上部软土层沉降为主,约占总沉降量的73%以上。根据不同超载比和超载作用时间下土体的变形时程曲线,建议适宜天津滨海地区围海造陆工程软黏土地基的超载比控制在0.5以下,超载作用时间控制在1～3倍的主固结时间内。 相似文献
20.
Theoretical and experimental study of consolidation settlement characteristics of hydraulic fill soil in Shanghai 总被引：1，自引：1，他引：0
Yiqun Tang Jie Zhou Xiaojun He Ping Yang Jianxiu Wang 《Environmental Earth Sciences》2012,67(5):1397-1405
To determine the influence of load and drainage on the engineering consolidation characteristics of hydraulic fill soil in Shanghai, a detailed study has been carried out using three controlled model tests under different conditions. The governing equation of one-dimensional large strain consolidation with the load and self-weight was also quoted to discuss the influence. Three consolidation settlement stages and two consolidation periods of growth in strength were observed. The effect of applying load was more obvious than improving drainage condition in the first consolidation time. Prolonging consolidation time had no significant influence on increasing strength. It is shown that the increase in strength is concentrated in the first period of consolidation and the load and drainage play their different roles in different consolidation periods. Conclusively, some relevant recommendations are offered for the construction of hydraulic fill soil. 相似文献