考虑影响区真实形状的竖向排水井地基固结解

针对现有竖向排水井地基固结解析理论对影响区一律采用圆形等效假定的缺陷,研究了影响区真实形状为正六边形的按梅花形布置的竖向排水井地基的固结问题。通过建立新固结方程和引入新的边界条件,并考虑土体水平渗透系数变化,得到了相应的解析解。对于土体水平渗透系数的3种变化模式,分别给出了各种模式下的特殊解。在此基础上,分析了3种模式下3个主要的无量纲参数对地基固结性状的影响,并比较了计算结果和现有理论结果。分析结果表明,影响区和涂抹扰动区范围越大,固结越慢;土体的最大与最小水平渗透系数之比越小,固结越快;在相同条件下,考虑扰动区渗透系数线性变化的模式2固结最快,而假定扰动区渗透系数不变的模式1的解与现有理论解相当接近,验证了现有竖向排水井地基固结解析理论中对影响区采用圆形等效假定的合理性     

砂墙地基二维固结自由应变解

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。     

任意附加应力下竖井径竖向耦合固结等应变解

竖向排水体包括砂井和塑料排水板已广泛应用于加速软黏土地基的固结。不同形式的轴对称条件下含竖向排水体均质各向同性地基的固结解析解答也相继被提出,而各种解答均假定地基中附加应力在竖向排水体的深度范围内是均匀分布的。显然,当竖向排水体深度与地面堆载区宽度的比值相对较高,或竖向排水体的影响区域靠近地面堆载区的边缘时,这个假定并不适用。为此,在现有径竖向耦合固结等应变解的基础上,提出任意分布的地基附加应力条件下的解答,并分析附加应力分布形式和线性加载速率对地基固结的影响。结果表明,均匀分布的附加应力条件下的解答低估了地基的固结速率,而瞬时加载条件下的解答则高估了地基的固结速率。     

考虑径向渗透系数变化的真空预压竖井地基固结解析解

针对真空预压条件下竖井地基固结问题,考虑竖井地基扰动区土体径向渗透系数变化的3种模式(扰动区渗透系数为常数、线性变化、抛物线变化)和竖井井阻随时间变化等因素影响;建立数学计算模型,采用解析解法,推导了考虑径向渗透系数因施工扰动而变化的真空预压竖井地基固结问题的解析解。基于此解,编制了计算程序,绘制出了考虑扰动区土体径向渗透系数变化和竖井井阻随时间变化影响的真空预压竖井地基固结曲线图。研究表明:井阻变化率对固结速率有较大影响;在土体扰动区径向渗透系数变化的3种模式中,渗透系数为抛物线变化时固结速率最快,渗透系数为线性时次之,渗透系数为常数时固结速率最慢。     

线性加载下含砂垫层地基固结分析

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h_Tk_(Th)/lk_v≥200时(h_T、k_(Th)、l、k_v分别为砂垫层厚度、水平渗透系数以及土体宽度和竖向渗透系数),砂垫层近似为完全排水边界。     

线性加载下含砂垫层地基固结分析

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。     

考虑井阻效应及径向渗透系数变化下砂井地基的大变形固结

基于Barron砂井地基等应变固结理论及Gibson一维大变形固结理论,同时考虑了砂井的井阻效应、径向渗透系数的变化及竖向渗流等因素,推导建立了更具普遍性的砂井地基大变形固结方程,并采用有限差分法对该方程进行了求解。通过将所求的差分解答与已有的固结模型及小变形解析解进行比较,对差分解答的正确性进行了验证。基于差分解答,对砂井地基的大变形固结性状展开分析。分析表明:砂井的井阻效应会降低砂井地基的固结速率,但当砂井的渗透系数增大到一定程度时,砂井的井阻效应可忽略;径向渗透系数的变化模式会对砂井地基的固结速率产生较大影响,相比于线性变化模式,抛物线变化模式下的固结速率较快;竖向渗流加快了砂井地基的固结速率,当井径比较小时,应考虑竖向渗流对砂井地基固结速率的影响;压缩指数与渗透指数的比值越大,砂井地基的固结速率越慢。     

考虑井阻时空变化的竖井地基非线性固结解析解

软土固结过程中展现出明显的非线性压缩和渗透特性,同时竖井的淤堵效应常导致井阻在固结过程中随深度和时间不断演化,但目前能考虑井阻随时空演化的竖井地基非线性固结解析解还很鲜见。通过引入孔隙比与有效应力及孔隙比与渗透系数间的半对数模型描述了土体的非线性固结特性,建立了能同时考虑井阻随时空变化和涂抹影响的竖井地基非线性固结模型,并采用分离变量法获得了固结模型的解析解。将特定参数下固结解的计算结果与实测数据、已有的竖井地基固结解答进行了对比分析以验证其可靠性。最后,对竖井地基的非线性固结性状开展了大量计算分析。结果表明：竖井渗透系数随深度线性衰减越明显则地基固结速率越慢;外荷载一定时,随着软土压缩指数c_c与渗透率指数c_k之比的增大,竖井地基固结速度减慢;在c_c /c_k值不变的情况下,外荷载增加,地基固结速率加快。在涂抹区的3种径向渗透系数变化模式中,抛物线变化模式下的地基固结速度最快,线性变化模式下的地基固结速度次之,恒定模式下的地基固结速度最慢,且这种性状并不因为考虑井阻变化或土体非线性固结特性而发生改变。     

考虑涂抹区渗透系数变化的非饱和土砂井地基固结特性分析

在以往对非饱和土砂井地基固结理论研究中,均将涂抹区与非涂抹区土体渗透系数视为相等,这与实际工程并不相符。本文将考虑涂抹区土体渗透系数的变化,分析其对超孔隙气、水压力消散规律的影响。基于Fredlund一维固结理论以及Darcy定律和Fick定律,对有限厚度线弹性非饱和土砂井地基,在大面积均布瞬时荷载作用下,考虑涂抹区土体渗透系数的变化,利用Laplace变换并引入Bessel函数推导出Laplace变换下的解,再通过Crump方法编程实现Laplace逆变换得到超孔隙气压力、超孔隙水压力的半解析解。利用典型算例进行计算,分别得到在不同半径、不同涂抹区半径和不同涂抹程度的情况下,超孔隙气压力、超孔隙水压力随时间的变化规律。得出考虑涂抹作用时,超孔隙气、水压力的消散速度降低;涂抹区半径越大、涂抹程度越高速度越慢,反之消散越快。本研究丰富了非饱和土砂井固结理论,对非饱和土砂井固结特性的研究具有一定的工程参考价值。     

涂抹区重叠竖井地基固结特性研究

在软基处理工程中,经常出现竖井打设变密而地基固结效率降低的现象。鉴于此,建立了重叠涂抹区内土体水平向渗透系数的分布函数,给出了涂抹区重叠时竖井地基超静孔压和平均固结度的解析解。通过分析不同工况下竖井地基固结度随竖井间距的变化情况,探究了竖井间距减小而地基固结效率不增反减的成因。最后,探讨了涂抹作用和井阻作用对竖井最小临界间距的影响。结果表明：相邻竖井涂抹区重叠是竖井地基中出现竖井最小临界间距的根本原因。涂抹作用越大,则竖井最小临界间距越大;具体表现为当地基扰动程度增大时或涂抹区半径增大时,竖井最小临界间距随之增大。井阻作用越大,则竖井最小临界间距越小;具体表现为当竖井渗透系数减小时、竖井长度增大时或竖井半径减小时,竖井最小临界间距随之减小。     

Consolidation of vertical drain with depth-varying stress induced by multi-stage loading

An explicit analytical solution is developed for the consolidation of vertical drain with both radial and vertical drainage by adopting a depth-varying stress induced by multi-stage loading. The well resistance and smear effect are also considered. The smear effect is described by three decay patterns of horizontal permeability towards drains within the smeared zone, including a reduced constant pattern, a linear decay pattern and a parabolic decay pattern. A parameter analysis is performed to investigate the consolidation behavior of the vertical drain. The convergence of the proposed series solution is discussed.     

Analytical solutions for consolidation aided by vertical drains

Soil disturbance caused during the installation of vertical drains reduces the in situ hydraulic conductivity of soft deposits in the immediate vicinity of the drains, resulting in a slower rate of consolidation than would be expected in the absence of disturbance. Experimental investigations have revealed the existence of two distinct zones, a smear zone and a transition zone, within the disturbed zone around the vertical drain. The degree of change in the hydraulic conductivity in the smear and transition zones is difficult to assess without performing of laboratory tests. Based on the available literature, four different profiles of hydraulic conductivity versus distance from the vertical drain were identified. Closed-form solutions for the rate of consolidation for each of these four hydraulic conductivity profiles were developed. It is found that different variations of the hydraulic conductivity profiles in the disturbed zone result in different rates of consolidation.     

废旧轮胎胶粉对高岭土变形和渗透性质的影响

废旧轮胎胶粉用于填埋场衬垫材料改性,是提高衬垫系统有效性和扩展废旧轮胎资源化利用途径的一种手段。以高岭土作为黏性土的代表,开展废旧轮胎胶粉-高岭土混合土的力学和水力学性质试验,重点探讨胶粉掺量及尺寸对混合土渗透性、压缩性和收缩性的影响规律。研究表明,废旧轮胎胶粉-高岭土混合土的渗透系数、压缩系数、回弹指数、固结系数和体缩率等均随胶粉掺入比的增加而增大。高岭土及混合土的无侧限抗压强度大于200kPa,50kPa和200kPa压力下渗透系数满足≤1.0×10-7cm·s-1的要求,均属于中压缩性土,且体缩率小于体积应变合格值4%。与30目胶粉相比,12目胶粉-高岭土混合土压缩性和回弹量较小、固结系数较大,胶粉尺寸对无侧限抗压强度、体缩率和渗透系数的影响不显著。在本文试验条件下,为提高黏土衬垫对有机污染物的吸附能力并满足渗透性、强度及变形的要求,12目25%胶粉改性黏土可作为填埋场黏土衬垫材料。     

In Situ Pore Water Pressure Dissipation Testing of Marine Clay under Reclamation Fills

In situ dissipation tests provide a means of evaluating the in situ coefficient of horizontal consolidation and horizontal hydraulic conductivity of soft clays. Dissipation tests by means of piezocone (CPTU), dilatometer (DMT), self-boring pressuremeter (SBPT) and BAT permeameter (BAT) were utilized in the characterization of the coefficient of horizontal consolidation and horizontal hydraulic conductivity of Singapore marine clay at Changi in a land reclamation project. Dissipation tests were carried out prior to reclamation as well as after ground improvement with vertical drains to compare the changes in the coefficient of horizontal consolidation and horizontal hydraulic conductivity prior to and after ground improvement. Tests were carried out in a vertical drain area as well as in an adjacent untreated control area after 23 months of surcharge loading, for comparison purposes. The purpose of this research is to determine the horizontal consolidation parameters of Singapore marine clay prior to reclamation as well as after 23 months of surcharge loading with and without vertical drains by means of in situ dissipation tests.     

成层软黏土地基的固结沉降计算分析

针对实际工程中软黏土地基的成层特性及竖井有时并未打穿软土层情况,采用太沙基一维固结理论和巴伦固结理论的基本假定,利用固结度联系孔压与变形,提出一种简化成层软黏土地基的固结沉降计算方法,对竖向排水地基的固结度及沉降等进行预测。对计算的几个关键问题进行探讨：如固结系数的反演选择、竖井未打穿土层时,竖井底部成层地基固结度计算、压缩土层厚度选取等问题。在上述理论的基础上,用FORTRAN语言编写排水竖井固结程序CONSOL,在工程实践中得到应用,取得良好的效果。     

Estimation of the hydraulic conductivity of soils improved with vertical drains

In this study, some limitations associated with modeling the hydraulic conductivity of soil improved with vertical drains are discussed. In addition, some limitations of conventional methodologies for deducing the hydraulic conductivity from oedometer or Rowe cell tests are investigated. An alternative approach for estimating the hydraulic conductivity in soils improved by vertical drains is discussed. This methodology will allow for simpler finite element modeling of consolidation due to vertical drains. The effectiveness of this technique has been demonstrated using a field study.     

Nonlinear consolidation of vertical drains with coupled radial-vertical flow considering time and depth dependent vacuum pressure

The system of vacuum pressure combined with vertical drains to accelerate soil consolidation is one of the most effective ground improvement methods. The consolidation theories of soft soil improved by vertical drains including void ratio–dependent compressibility and permeability have been widely applied in practice to predict the consolidation behavior. In this paper, analytical solutions of the consolidation of vertical drains are derived incorporating the loss and propagating stage of vacuum pressure. In addition, special solutions are obtained for the cases of instantaneous surcharge loading and staged surcharge loading, based on the general solution. The solution is verified by ignoring the propagating stage of vacuum pressure formation and comparing it with an existing solution. The effects of vacuum pressure loss and propagating stage combined with other parameters are investigated through the ratio between excess pore water pressure and surcharge loading.     

Dissipation Testing of Singapore Marine Clay by Piezocone Tests

In situ dissipation tests provide a means of evaluating the in situ coefficient of consolidation due to horizontal flow and hydraulic conductivity in horizontal direction in marine clays formation. Dissipation tests by means of piezocone were utilised in the characterisation of the coefficient of consolidation due to horizontal flow and the hydraulic conductivity in horizontal direction of Singapore marine clay at Changi. Piezocone dissipation tests were carried out prior to reclamation as well as after ground improvement with vertical drains to compare the changes in the coefficient of consolidation due to horizontal flow and hydraulic conductivity in horizontal direction prior to and after ground improvement. The quasi-static piezometric pressures from the dissipation tests were compared with piezometric pressures from piezometers to determine their possibility of future use as an alternative to piezometers. Post-improvement CPTU dissipation tests were carried out in the treated “Vertical Drain Area” as well as in an adjacent untreated “Control Area” for comparison purposes. This study provides support for the use of piezocone dissipation testing methods for the determination of the coefficient of consolidation due to horizontal flow and hydraulic conductivity in horizontal direction of marine clays in the region as well as an alternative to piezometer instrumentation for monitoring of piezometric pressure during consolidation.