Axi-symmetric Analysis of Geosynthetic-reinforced Granular Fill-soft Soil System with Group of Stone Columns

The paper presents a mechanical model to predict the behavior of geosynthetic-reinforced granular fill resting over soft soil improved with group of stone columns subjected to circular or axi-symmetric loading. The saturated soft soil has been idealized by spring-dashpot system. Pasternak shear layer and rough elastic membrane represent the granular fill and geosynthetic reinforcement layer, respectively. The stone columns are idealized by stiffer springs. The nonlinear behavior of granular fill and soft soil is considered. Consolidation of the soft soil due to inclusion of stone columns has also been included in the model. The results obtained by using the present model when compared with the reported results obtained from laboratory model tests shows very good agreement. The effectiveness of geosynthetic reinforcement to reduce the maximum and differential settlement and transfer the stress from soft soil to stone columns is highlighted. It is observed that the reduction of settlement and stress transfer process are greatly influenced by stiffness and spacing of the stone columns. It has been further observed that for both geosynthetic-reinforced and unreinforced cases, the maximum settlement does not change if the ratio between spacing and diameter of stone columns is greater than 4.     

Modeling of granular bed‐stone column‐improved soft soil

The present study pertains to the development of a mechanical model for predicting the behavior of granular bed‐stone column‐reinforced soft ground. The granular layer that has been placed over the stone column‐reinforced soft soil has been idealized by the Pasternak shear layer. The saturated soft soil has been idealized by the Kelvin–Voigt model to represent its time‐dependent behavior and the stone columns are idealized by stiffer Winkler springs. The nonlinear behavior of the granular fill has been incorporated in this study by assuming a hyperbolic variation of shear stress with shear strain as in one reported literature. Similarly, for soft soil it has also been assumed that load‐settlement variation is hyperbolic in nature. The effect of consolidation of the soft soil due to inclusion of the stone columns has also been included in the model. Plane‐strain conditions are considered for the loading and foundation soil system. The numerical solutions are obtained by a finite difference scheme and the results are presented in a non‐dimensional form. Parametric studies for a uniformly loaded strip footing have been carried out to show the effects of various parameters on the total as well as differential settlement and stress concentration ratio. It has been observed that the presence of granular bed on the top of the stone columns helps to transfer stress from soil to stone columns and reduces maximum as well as differential settlement. Copyright © 2007 John Wiley & Sons, Ltd.     

Response of multilayer geosynthetic-reinforced bed resting on soft soil with stone columns

In the present study, a mechanical model has been developed to study the behavior of multilayer geosynthetic-reinforced granular fill over stone column-reinforced soft soil. The granular fill and geosynthetic reinforcement layers have been idealized by Pasternak shear layer and rough elastic membranes, respectively. The Kelvin–Voight model has been used to represent the time-dependent behavior of saturated soft soil. The stone columns are idealized by stiffer springs and assumed to be linearly elastic. The nonlinear behavior of the soft soil and granular fill is considered. The effect of consolidation of soft soil due to inclusion of the stone columns on settlement response has also been included in the model. Plane strain conditions are considered for the loading and reinforced foundation soil system. An iterative finite difference scheme is applied for obtaining the solution and results are presented in nondimensional form. It has been observed that if the soft soil is improved with stone columns, the multilayer reinforcement system is less effective as compared to single layer reinforcement to reduce the total settlement as there is considerable reduction in the total settlement due to stone column itself. Multilayer reinforcement system is effective for reducing the total settlement when stone columns are not used. However, multilayer reinforcement system is effective to transfer the stress from soil to stone column. The differential settlement is also slightly reduced due to application of multiple geosynthetic layers as compared to the single layer reinforcement system.     

竖向荷载下加筋碎石桩复合地基数值分析

采用三维有限元程序建立了一长为6 m、直径为0.8 m的加筋碎石桩复合地基流固耦合数值模型,分析了其在堆载和孔压消散过程中的荷载传递和变形特性。较传统碎石桩,加筋碎石桩复合地基桩土应力比显著增大,超孔压、沉降和桩身侧向变形显著减小,且随筋材刚度的增大,其性能进一步改善。加筋碎石桩复合地基在桩间土固结过程中产生明显的桩土差异沉降,形成土拱效应,使得堆载结束后桩土应力比变化很小。筋材长度对加筋碎石桩复合地基桩土应力比和沉降影响显著,应对其全长加筋才能保证桩体刚度和有效减少沉降。     

饱和软土大变形非线性自重固结模型

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。     

Optimum design of stone column-improved soft soil using multiobjective optimization technique

A combined simulation–optimization-based methodology is proposed to identify the optimal design parameters for granular bed–stone column-improved soft soil. The methodology combines a finite difference-based simulation model and an evolutionary multiobjective optimization model. A combined simulation–optimization methodology is developed for two different formulations: (a) the minimization of maximum settlement and the minimization of differential settlement subject to stress constraints; (b) the minimization of maximum settlement, the minimization of differential settlement and the maximization of the degree of consolidation subject to stress constraints. The developed methodology is applied to an illustrative system. Different scenarios are evaluated to examine critical field conditions. The solution results show that the modular ratio and the ultimate stress carrying capacity of the stone column are the most important parameters for optimal design. The obtained results also show the potential applicability of the developed methodology.     

非饱和土一维大变形固结模型

基于分段线性差分法,建立了一种非饱和土一维大变形固结模型。该模型可考虑土性参数非线性变化,可计算与分析大变形问题,并编制了Fortran计算程序。在现有解答和试验数据的基础上,对该模型进行了验证,瞬时加载情况下模型数值解与现有解答基本吻合,考虑加载过程下的数值解与试验数据吻合。进行了大变形算例分析,对比了加荷压密与消散固结阶段土层变形,探讨了孔隙气、水渗透系数比对土层沉降量、饱和度和不同应变情况下固结度的影响规律,分析了非饱和土大、小变形固结理论计算孔隙水（气）压和沉降量的差异。     

软土次固结阶段桩侧负摩阻力变化规律研究

设计软黏土中单桩模型箱试验,模拟了桩周土逐级加荷沉降,通过量测超孔隙水压力、土体沉降及桩身轴力变化,分析了软黏土进入次固结阶段时,桩侧负摩阻力及桩身中性点位置变化情况。研究表明,在次固结阶段桩周土所产生的沉降对桩侧负摩阻力仍具有一定影响,沿桩身呈先增大后减小的趋势;当桩周土所施荷载等级达到一定程度时,桩身中性点位置将随着桩周土次固结时间的增长而逐渐上移。次固结阶段产生的沉降量与土体上所施加的荷载等级有关,随着桩周土荷载等级的增大,次固结阶段产生的沉降所占总沉降的比例逐渐减小,其蠕变效应逐渐减弱。     

软土路基线性加载沉降曲线的研究

分析了线性加载路基沉降的机理,直接从一维固结度出发,证明了沉降曲线呈S形状。对Gompertz模型、Logistic模型、Weibull模型等3种呈S形状的成长模型进行数学分析。前两种模型虽然使用广泛,但不能反映加载速率和施工方法的影响,反弯点处沉降值与最终沉降相对不变,用它们进行基础全程沉降模拟具有一定的局限性;相对而言,Weibull模型具有较强的适用性。最后对路基沉降模拟提出了建议。     

分级连续加载条件下原状膨胀土固结变形研究

由固结系数Cv与有效应力 和孔隙比的关系,推导了考虑固结系数变化的分级连续加载固结控制方程。根据方程的解析解得到了分级连续加载的沉降计算公式。结合云桂高速铁路建设,以高路堤分段堆载方式为研究依据,在GDS三轴试验系统开展原状膨胀土分级连续加载K0固结试验。结果表明：沉降与时间关系在加载期呈折线式发展,稳载期呈双曲线变化;膨胀土的应力-应变关系呈阶梯式变化;当 ≤ 时,固结系数随有效应力呈先增大而后减小,当 ＞ 时,固结系数随有效应力呈波动持续减小。固结度理论计算值与试验结果相比,考虑固结系数变化的固结度计算比固结系数为定值更准确。分级连续加载沉降计算公式可作为分析高速铁路路基沉降-时间关系的参考方法。     

变荷载作用下碎石桩复合地基固结简化分析

用碎石桩对软弱土进行地基处理是一种常用的地基处理方法,桩间土的固结问题是碎石桩复合地基中非常关注的问题,该问题在不同假设条件下的研究也取得了大量成果。在考虑桩土模量比（即应力状态稳定时的桩土应力比）及碎石桩面积置换率影响的前提下,基于等应变假设,将任意变荷载转化为傅里叶级数,从而推导出了变荷载作用下碎石桩桩间土固结解析解,给出了任意时刻桩土承担的应力变化关系,对现有理论进行了合理的修正。通过算例与现有理论对比分析表明,本算法合理可行,当碎石桩面积置换率及桩土模量比比较大时应该考虑其对固结的影响。此外,根据上述理论对Carrillo假设进行了分析,证明竖向和径向固结分别独立考虑的假设并不精确,但得出的总体规律与实际较为接近。     

Nonlinear analysis of footings on granular bed–stone column improved soft soil

In this paper, a model for the analysis of footings having finite flexural rigidity resting on a granular bed on top of stone columns improved saturated soft (clayey) soil has been proposed. Soft soil has been modeled as a Kelvin–Voigt body to represent its time dependent behavior. Pasternak shear layer has been used to represent the granular layer and the stone columns have been idealized by means of nonlinear Winkler springs. Nonlinear behavior of granular fill, soft soil and stone columns has been invoked by means of hyperbolic constitutive relationships. Governing differential equations for the soil–foundation system have been obtained and finite difference method has been adopted for solving these, using the Gauss-elimination iterative scheme. Detailed parametric study for a combined footing has been carried out to study the influence of parameters, like magnitude of applied load, flexural rigidity of footing, diameter of stone column, spacing of stone column, ultimate bearing capacity of granular fill, poor foundation soil and stone column, relative stiffness of stone columns and degree of consolidation, on flexural response of the footing.     

沉积泥砂非线性大变形固结沉降计算模型

沉积形成的水底黏性泥砂自重固结过程表现出显著非线性大变形固结特征,应采用大变形固结理论进行泥砂沉积固结计算。基于软黏土一维非线性大应变固结理论,应用有效应力、渗透系数与孔隙比间扩展幂次函数固结本构关系,由达西定律、有效应力原理、连续介质方程等建立大变形固结控制方程,根据固结单元孔隙水渗流、单元变形与泥砂沉积层固结沉降耦合关系形成黏性泥砂大变形自重固结数值模型。泥砂自重作为固结荷载,数值模型假定沉积泥砂各向同性且固结沉降应变、孔隙水渗流仅发生于竖直方向,为一维单向沉积固结过程;采用泥砂沉降柱试验确定泥砂非线性扩展幂次函数关系参数。模型应用中,划分竖向固结单元,由沉积泥砂固结本构关系确定各固结单元有效应力及超孔隙水应力,通过超孔隙水应力时间维度上的消散过程及各固结参数间的耦合关系计算泥砂固结沉降。数值模型计算结果表明,沉积黏性泥砂自重固结初期表现为有效应力调整过程,初始有效应力与孔隙比根据固结本构关系匹配调整为扩展幂次函数关系;沉积泥砂应变与应力固结度存在20%左右误差,泥砂固结沉降发展快于超孔隙水应力消散过程,证明沉积泥砂固结沉降变形的发展与超孔隙水应力消散并非同步耦合。计算模型应用于室内沉降柱试验模拟淤积黏性泥砂自重固结沉降预测中,模型输出与试验结果符合良好。     

超载预压处理软土的次固结特征及沉降计算

为了研究超载预压软土的次固结特征,分析超载预压处理软土地基的工后沉降,文章考虑应力历史对软土结构性的影响,模拟现场工况,对重塑洞庭湖软土试样进行超载预压后再压缩的一维固结蠕变试验。研究结果表明:经过超载预压的软土卸荷后再进行加载,压缩变形过程中主固结时间明显缩短,约为未经超载预压处理软土主固结时间的1/3,打设排水竖井对软土主固结时间几乎没影响;预压荷载越大,次固结系数越小,超载预压有利于消除软土的次固结沉降;随着建（构）筑物荷载的增加,次固结系数增大;打设排水竖井,未经预压处理软土的次固结系数略有增加,经过超载预压处理软土的次固结系数略有减小,但影响效果不是很明显。考虑应力历史,引入超载增量比,发现次固结系数与超载增量比呈线性递减关系,建立了相应的计算模型,提出了次固结沉降计算公式。试验及分析结果对预压处理地基的设计和施工具有一定的指导意义。     

Numerical analysis of the installation effects on the behaviour of soft clay improved by stone columns

This paper addresses the installation effects of stone columns in soft soils. Focus is made on the lateral expansion of stone material using the vibro displacement and substitution techniques by means of numerical simulations. The behaviour of reinforced soil after stone column installation is investigated to show how the properties of soft soils can be improved prior to final loading. The effect of such an improvement on the prediction of reinforced soil settlement is evaluated. The axisymmetric unit cell model (UCM) served for the comparison between numerical predictions made by the Mohr-Coulomb and hardening soil constitutive laws adopted for the soft soil. An equivalent group of end bearing columns model was investigated in the axisymmetric condition to predict the settlement of reinforced soil by adopting the Mohr-Coulomb constitutive model for soft clay. The reduction of settlements predicted by the unit cell and group of columns models, due the improvement of the Young’s modulus of soft clay, were compared. It is concluded that a significant reduction of settlement is expected when the group of columns model is considered.     

Finite Element Analysis of Geogrid Encased Stone Columns

Stone columns in soft soil improve bearing capacity because they are stiffer than the material which they replace, and compacted stone columns produce shearing resistances which provide vertical support for overlying structures or embankments. Also stone columns accelerate the consolidation in the native surrounding soil and improve the load settlement characteristics of foundation. In this paper, the finite element method is utilized as a tool for carrying out analyses of stone column–soil systems under different conditions. A trial is made to improve the behaviour of stone column by encasing the stone column with geogrid as reinforcement material. The program CRISP-2D is used in the analysis of problems. The program allows prediction to be made of soil deformations considering Mohr-Coulomb failure criterion for elastic–plastic soil behaviour. A parametric study is carried out to investigate the behaviour of standard and encased floating stone columns in different conditions. Different parameters were studied to show their effect on the bearing improvement and settlement reduction of the stone column. These include the length to diameter ratio (L/d), shear strength of the surrounding soil and, the area replacement ratio (a_s) and others. It was found that the maximum effective length to diameter (L/d) ratio is between (7–8) for Cu, between (20–40) kPa and between (10–11) for Cu?=?10?kPa for ordinary floating stone columns while the effective (L/d) ratio is between (7–8) for encased floating stone columns. The increase in the area replacement ratio increases the bearing improvement ratio for encased floating stone columns especially when the area replacement ratio is greater than (0.25). The geogrid encasement of stone column greatly decreases the lateral displacement compared with ordinary stone column.     

不同荷载模式作用下双层软黏土地基压缩特性研究

天津滨海吹填场区典型的“上软下硬”的双层软黏土地基具有复杂的物理性质和工程特性,其在不同荷载作用模式下的变形特性有所不同,在工程实践中往往会产生较大的工后沉降和不均匀沉降,从而导致修建于其上的建筑物出现诸多工程问题。现阶段对于不同荷载作用下吹填场区形成的“上软下硬”双层软黏土地基的变形特性及机理研究甚少,导致理论研究远远落后于工程实践,制约了吹填场区经济建设的快速发展,因此对此类地基的变形特性展开研究显得尤为重要。基于此,本文针对吹填场区“上软下硬”的双层软黏土地基,开展了反复荷载和恒定荷载作用下的一维固结试验和扫描电镜试验(SEM),得到了不同荷载模式作用下的压缩特性及其微观机理,为吹填场区双层软黏土地基变形模型建立及长期工后沉降预测提供理论依据。研究表明:双层软黏土地基的压缩系数和固结系数在反复荷载作用初期明显减小,而后缓慢减小直至趋于稳定; 与反复荷载相比,恒定荷载作用下试样的压缩系数初期值增加,固结系数初期值减小,其变化量均在40% ~50%的范围内; 当荷载等级一定时,反复荷载作用引起双层软黏土地基产生的沉降量相比于恒定荷载作用多30% ~45%; 随着荷载等级的增加,土样内部大孔隙受到挤压而减少,孔隙的圆度和定向性加强,土体结构更密实,均一化程度提高; 相比于恒定荷载模式,反复荷载作用下土样内部孔隙形状更接近于圆形,孔隙定向性更好,土体内部结构强化程度大,但有序性相对较差。     

离心模型试验模拟塑料排水板处理软土地基的方法和应用

采用大型土工离心机对某工程近海软土地基上堤坝施工期及运行期进行了模拟。试验中采用停机加载法模拟分级施工加载过程, 原型中采用塑料排水板固结法处理软土地基, 模型中则根据固结过程相似的原理, 换算成等效圆截面排水体, 在模型制作中采用等效透水滤芯进行模拟。根据激光位移传感器和孔隙水压力传感器数据可以得出相应原型软土地基的沉降特性和孔隙水压力变化情况。根据试验得到的沉降曲线, 采用"经验双曲线法"推算出了地基最终沉降, 然后得出按沉降推算的分层地基平均固结度随时间的变化。对比试验模拟得到的软土地基固结度和理论计算结果, 二者基本接近, 表明塑料排水板模拟方法用于离心模型试验是可行的。      

循环荷载作用下考虑非达西渗流的软黏土一维流变固结分析

基于Hansob渗流理论和Merchant流变模型,将微分型流变方程耦合到一维固结理论中,建立了循环荷载作用下双变量表述的软黏土一维流变固结耦合方程组。采用FlexPDE软件对方程组进行了求解,通过与已有文献结果对比,验证了算法的可靠性,在该基础上研究了循环荷载作用下饱和软黏土的一维流变固结特性,分析了Hansob渗流参数、Merchant流变模型参数以及循环荷载类型对饱和软黏土固结特性的影响。研究结果表明,按超孔压定义的平均固结度 和按变形定义的平均固结度 均呈现循环变化特征,且 > ;当循环周次较大时, 进行稳定循环状态,由于流变效应, 峰值仍呈逐渐增大趋势;随着Hansob渗流参数 和 的逐渐增大,地基固结速率逐渐降低,同一循环周次内 、 的峰值也随之降低;随着流变参数F的逐渐增大,同一循环周次内 的峰值逐渐降低, 的峰值显著提高;随着 的逐渐增大,同一循环周次内 、 的峰值逐渐降低。循环荷载作用下地基的平均固结度始终处于循环状态,无法达到固结完成状态,其最大平均固结度也远小于线性荷载的情况。     

软粘土层上的油罐差异沉降

根据某一大型油罐软基加固处理工程方案设计和优选需要,按照离心模型相似律,开展了三组模型试验,分别模拟了天然地基、土工合成材料袋装碎石垫层和既在填土层中设置袋装碎石垫层又在淤泥质粘土层设置土工合成材料排水板三种情况,以研究这一加固布置形式对减小高压缩性软土层地基上油罐罐底的差异沉降效果反应。模型油罐地基采用原型土重塑制备,现场土工合成材料袋装碎石采用柔性机织玻璃纤维细管塞装粗砂条模拟,并在不停机运转条件下模拟了多次充放水预压加载。试验结果表明,油罐软弱地基经土工合成材料袋装碎石加固后,罐底总沉降值和差异沉降值均明显小于天然地基情形下对应的沉降值,罐底畸变得到显著减小,就本文所述的土质条件、土层厚度和预压荷载强度,地基经加固处理后,油罐罐底畸变减小了近50 %。最后就土工合成材料在加固油罐地基布置形式的合理性进行了初步探讨。