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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
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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
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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
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Applicability of the rectangular hyperbolic method to settlement predictions of sabkha soils 总被引:3,自引:0,他引:3
Mosleh A. Al-Shamrani 《Geotechnical and Geological Engineering》2004,22(4):563-587
In this paper, the applicability of the hyperbolic method to predict settlements of sabkha formations was investigated. Conventional and long-term consolidation tests were conducted, and the fit of the experimental data to a rectangular hyperbolic relationship was examined. The validity of the hyperbolic form as a representation of the settlement-time response of sabkha soils was further ascertained by analysing settlement records measured under an instrumented test embankment. The laboratory results indicated that the settlement-time behaviour could reasonably be represented by the hyperbolic relationship. Settlement estimates determined as the inverse of the slope of the initial linear segment multiplied by the slope of the theoretical curve, or obtained based on the radial slopes corresponding to 50% and 90% consolidation points, all underestimated the observed total settlements. However, the inverse of the slope of the final linear segment of the hyperbolic curve gave excellent estimates of the observed total settlements. The agreements between the predicted and observed in situ ultimate primary consolidation settlements are considered reasonable. Finally, except when the hyperbolic plot follows a straight line, the use of the hyperbolic method for prediction of total settlements of sabkha soils with prominent secondary compression behaviour has been shown to be both uncertain and impractical. 相似文献
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某机场场道地基经强夯处理试验后,在道面载下对地基的地下水位,孔隙水压力,浅层沉降,分层沉降等进行了将近2.5年长期监测。针对监测结果进行分析,研究强夯加固后地基的沉降固结特征,对比采用不同强夯加固方案各小区沉降的差异。 相似文献
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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。 相似文献
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基于室内模拟实验的软土固结沉降的分形几何 总被引:1,自引:0,他引:1
为了能够比较准确、简便地计算及预测软土的沉降,在Terzaghi一维固结理论的基础上,结合分形几何理论对软土的沉降计算进行了探讨和研究。首先通过室内模拟实验,获得了不同固结时期试样的孔隙比e、沉降量以及扫描电镜照片(SEM图片);然后利用WD-5软件对SEM图片进行处理,并计算得到孔隙分布的分数维Df;最后建立起e与Df的函数关系,再结合Terzaghi一维固结理论建立了Df与固结度、沉降量的关系方程并计算得到相应的固结度及沉降量。经分析得出:Df随着沉降量的增加而减小;软土在固结沉降过程中在42.33 h处有一个明显的拐点;利用Df建立的固结沉降模型计算的结果与试验实测的结果基本吻合。 相似文献
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疏浚淤泥含水率高、强度极低,真空梯度作用下排水板周围会快速形成致密“土柱”,导致排水固结能力迅速下降,即出现淤堵现象。由疏浚淤泥真空固结室内模型试验获得了出水量变化情况和土体含水率、渗透系数的时空分布情况,确定了排水体周围淤堵区的形成时间与范围,提出了考虑时间效应与淤堵效应的真空度传递模式,同时考虑疏浚淤泥土体压缩和渗透的非线性,建立了考虑淤堵效应的固结分析模型,获得了相应的解析解,通过与已有数据和现场试验结果对比验证了该解答的有效性。利用该解析解,分析了真空度传递模式、淤堵系数λ和淤堵比c对沉降的影响。结果表明,淤堵效应明显减缓了沉降速率,也严重降低了疏浚淤泥的最终沉降量。 相似文献