Dimensionless and unbiased CPT interpretation in sand

The cone penetration test (CPT) is widely used, and although initially developed as a stratigraphic logging tool its excellent repeatability and accuracy offers a benchmark quantitative test for sand in particular. A continuing difficulty, however, is that the CPT does not measure any soil property directly, so that parameters of interest must be recovered from solution of an inverse boundary value problem, which is difficult. To date most CPT interpretations in sand have been based on very limited calibration testing carried out in large chambers on a few sands from which mappings are developed. But there are differences in the CPT response from one sand to another leaving the interpretation imprecise (and arguably even speculative) because these differences remain poorly understood. In this paper we use the familiar spherical cavity expansion analogy to the CPT including large strains and a good, critical-state-based, soil model to develop a pattern of behaviour which we then compare to some of the reference chamber test data. We find that one of the issues of dispute in the empirical interpretation methods, the so-called stress-level effect, is caused by neglect of elasticity and that there are several additional parameters of first-order significance to cavity expansion in sands. More generally, we show that the difference in CPT response between various chamber sands in predicted. Our results are cast in dimensionless form and the inversion illustrates that extreme care is required in interpreting CPT data if the in situ sand state is to be determined with precision approaching that suggested as achievable by the repeatability of the CPT data itself. Aspects requiring particular care in interpreting CPT data in sand are discussed. © 1998 John Wiley & Sons, Ltd.     

Dynamic Response of the Foundations Resting on a Two-layered Soil Underlain by a Rigid Layer

The present experimental investigations study the effect of layering over rigid base on the dynamic behavior of foundation under vertical mode of vibration. Model block vibration tests were conducted on a rigid surface footing resting on different layered soil systems underlain by rigid base. The rigid base was used to simulate the presence of bedrock. The tests were carried out in a pit of size 2.0?m?×?2.0?m?×?1.9?m (deep) using a concrete footing of size 0.4?m?×?0.4?m?×?0.1?m. A rotating mass type mechanical oscillator was used for inducing vibration in vertical direction. Different layered soil systems were prepared within the total depth of 1,200?mm over the rigid base. Locally available gravel and fly ash were used to form different layered soil systems. In total, 132 nos. model block vibration tests in vertical mode were conducted for different layering and loading combinations. The experimentally obtained results are also compared with the results obtained from the analysis by mass-spring-dashpot and equivalent half-space theory.     

旋压入土式静力触探机制研究

由于现有静力触探机械设备提供的动力有限,使得静力触探技术无法应用于较硬土层或较深土层中（应力较高）。保证探头顺利平稳地探入较硬土层,是触探技术应用于硬土层的前提条件。通过对旋压式触探时探头上的受力进行分析,推导了不考虑侧壁摩擦力的旋压式触探的总锥尖阻力和扭矩的理论模型,同时也推导了用旋压式触探测试成果计算锥土间摩擦系数的数学模型,并在室内旋压式触探仪上进行相应的试验,试验结果不仅验证了理论分析的正确性,而且试验结果表明：对同一土体制成不同含水率、干重度的试样进行相同的探入速度和旋转速度下的旋压式触探,所得的扭矩与总锥尖阻力呈线性关系。根据数学模型计算的锥土间摩擦系数要比土体的内摩擦系数大得多,但两者具有较明显的一致性。结合土层的各向异性的特点、锥土间的摩阻力的存在等因素分析了旋压式触探方式能够降低总锥尖阻力的原因     

Algorithm for generation of stratigraphic profiles using cone penetration test data

Cone Penetration Test (CPT) data are often used directly in the design of shallow and deep foundations and many other applications. To produce more cost-effective designs, it is advantageous to use CPT data to establish stratigraphic profiles as well. Algorithms to generate a stratigraphic profile using data from an individual CPT sounding and a Soil Behavior Type (SBT) chart as inputs are presented. Two SBT charts from the literature were selected and modified to eliminate ambiguity in soil classification. Novel algorithms were developed for handling the occurrence of thin layers within a stratigraphic profile to account for the fact that the standard CPT cone cannot accurately sense layers with thickness below a certain limit and a representative cone resistance cannot be obtained if the layer is too thin. Likewise, the algorithms prevent the creation of a soil profile with adjacent layers of essentially the same soil by consolidating layers appropriately. The algorithms presented generate a design soil profile, produced using a precise classification based on soil type and state and by elimination of artificial layering, that can be more effectively used in design.     

Elastic analysis of laterally loaded pile in multi-layered soil

An analysis is developed to determine the response of laterally loaded piles in layered elastic media. The differential equations governing pile deflections in different layers due to a concentrated static force and/or moment acting at the pile head are obtained using the principle of minimum potential energy and calculus of variations. The differential equations are solved analytically using the method of initial parameters. Pile deflection, slope of the deformed axis of the pile, bending moment and shear force can be reliably obtained by this method for the entire pile length. The input parameters needed for the analysis are the pile geometry and the elastic constants of the soil and pile. It is observed that soil layering has a definite impact on pile response and must be taken into account for proper analysis and design. The analysis forms the basis for future formulations that can consider stress–strain nonlinearity.     

层状地基中地铁施工垂直穿越既有管道变形分析:耦合方法与两阶段方法对比

地铁施工引起的临近既有管道变形是城市轨道交通建设中较为关心的施工问题。目前,针对该领域的研究一般假定地基土体均质,而没有考虑地基的自然成层性,此外大多没有考虑既有管道变形与土体自由位移场相互作用的耦合效应。为此,基于弹性层状半空间地基模型,针对隧道开挖边界引入非均匀收敛变形径向土体位移移动模式,提出了层状地基中地铁施工垂直穿越既有管道变形的耦合分析方法和两阶段分析方法,并进行了算例对比和参数分析。结果表明:耦合方法在分析非均质层状地基时具有较好的计算精度,其精度要高于基于Loganathan和Poulos公式的两阶段方法;同时,地基土体的成层性对既有地下构筑物的变形性能具有较大影响。研究成果可为合理制定城市地铁施工对周围环境影响的保护措施提供一定的理论依据。     

基于2.5维有限元饱和土地基中空沟隔振性能研究

基于Biot饱和多孔介质U-W格式动力控制方程,采用Galerkin法和Fourier变换,推导了饱和土体2.5维有限元方程及黏弹性人工边界,建立了饱和土地基中空沟分析模型,并在波数域中进行求解,通过快速Fourier变换（FFT）进行波数展开,获得三维空间域中结果。算例分析了移动荷载作用下均质饱和土地基、分层饱和土地基、上覆单相弹性层饱和土地基3种饱和土地基模型中空沟的隔振效果。结果表明：饱和土地基中空沟的隔振效果不仅与空沟自身深度有关,还与地基中成层土体的分界面以及土体参数有关,波在不同土体分界面上的透射和反射会影响空沟的隔振效果;饱和土地基中上覆单相弹性层厚度对空沟的隔振效果影响显著,随着上覆单相弹性层厚度的增加,饱和土地基中空沟的隔振效果变好。     

基于薄层法和移动坐标系法的地铁竖向振动在成层土层中传播

针对地铁竖向振动在成层地基中的传播,提出了移动荷载作用下层状地基的分析模型。基于该模型,利用狄拉克函数及三重傅里叶变换将时空域内单个移动简谐荷载转换为频率-波数域内的荷载,结合薄层法和移动坐标系法推导了单个移动简谐荷载和移动简谐线荷载作用下三维层状地基动力响应的解析解,并给出了移动简谐线荷载动力响应解析解中参数n的经验取值范围;分析了荷载的移动速度对层状地基动力响应的影响以及弹性模量、泊松比、阻尼比和荷载频率对土体临界速度的影响。结果表明：荷载的移动速度对不同频带的动力响应的影响范围不同;移动速度对低频响应的影响程度大于对高频响应的影响程度;相比于泊松比和阻尼比,弹性模量对土体临界速度的影响最大;频率越接近荷载振动频率的振动响应,其幅值越大,临界速度越小。     

桩端持力层加筋作用的特性探讨

运用弹性半空间无限体的明德林解答和浅基础中的分层总和法、桩土间滑动采用刚塑性模型，以某工程试桩资料为例，较详细地分析了桩端持力层加筋作用的特性。并通过工程实例证明本文研究结果是正确的，这对桩基的设计和研究有较大的参考价值。     

层状地基上弹性地基梁的有限元-边界元耦合分析

将地基视为多层各向同性弹性体,对Euler-Bernoulli梁进行有限单元离散分析,对地基-梁接触面采用边界积分法求解,根据地基-梁接触面的竖向位移协调和光滑接触条件,应用有限元与边界元耦合的方法推导出各向同性成层弹性地基上的Euler-Bernoulli梁的半数值半解析解。基于文中理论,编制了相应的程序,通过与现有文献对比,验证了文中理论的正确性,对比分析了分层地基与等效均匀地基两种模型上的弹性地基梁。研究结果表明,分层地基与等效均匀地基两种模型上弹性地基梁性状差异较大,实际弹性地基梁计算中应采用分层地基模型。     

Prestressed Foundation Beams on Elastic Layered Soil

This paper develops a systematic procedure concerning the determination of the interaction of an arbitrary multistory frame with the elastic layered foundation soil by making use only of the soil surface deformational characteristics. The paper focuses on the response of the foundation beam through which the frame rests on the ground, showing the need for prestressing the beam in order to ensure better functionality. The investigation addresses the dual goal of excluding the undesirable cracked state of the beam and reducing its structural height together with the overall amount of reinforcement needed. A set of soil layered profiles is considered and it is investigated to what extent the required prestressing force depends not only on the soil deformational properties at hand, but also on the method of analysis used. The results are compared for both the elastic half-space and the Winkler’s method, taking into account either the whole structure stiffness, or the stiffness of the foundation beam only, as it is usually considered in practice.     

Consolidation analysis of a cross-anisotropic homogeneous elastic soil using a finite layer numerical method

This paper presents a finite layer procedure for Biot's consolidation analysis of layered soils using a cross-anisotropic elastic constitutive model. The program is first verified using published results. Then, using this program, the influences of cross-anisotropy on the immediate settlement, the final settlement, and the consolidation behaviour are investigated by changing one model parameter at one time. The results obtained using the cross-anisotropic elastic model are compared with results using an isotropic elastic model. It is found that the cross-anisotropy has very large influences on the immediate settlement, the final settlement, and the consolidation behaviour. Curves or tables of the immediate settlement coefficients, the final settlement coefficients, and the average degree of consolidation are obtained and presented in the paper. These curves or tables can be easily used to estimate the immediate settlement, the final settlement, and the consolidation settlement of a cross-anisotropic soil. Copyright © 2004 John Wiley & Sons, Ltd.     

安哥拉格埃路砂地层的承载力研究

安哥拉格埃路地层（Quelo）棕红色砂土形成年代较长,低含水率下地基承载力较高,但遇水后地基承载力降低幅度较大,地基处理方案常有争议。大量的工程实践和专项研究表明,地基土的承载力与含水率有明显的相关性,通过探井取样和原位测试,查明了地基土的物理力学特性,分析不同含水率条件下的静力触探试验(CPT)和平板载荷试验(PLT)数据,建立了适用于该地层的地基承载力与含水率的幂函数关系式以及地基承载力与锥头阻力的线性经验公式。静力触探试验结果表明,地层锥头阻力qc和侧壁摩阻力fs随深度增加而逐渐提高,土质均匀,但摩阻比Rf较小。分析认为,采用不经碾压的砂土作为地基,具有较高的风险;对于多层及9～13层建筑的地基处理,采用换填垫层法较桩基更合理。     

Calculation of vibration transmission over bedrock using a waveguide finite element model

A finite element method is developed for the study of elastic wave propagation in layered ground environments. The formulation is based on a spectral finite‐element approach using a mixture of high‐order element shape functions and wave solutions. The numerical method provides solutions to vibration transmission on and within layered elastic waveguides. Examples of its use include the theoretical analysis of transmission of vibrations in the vicinity of the surface of the ground. The mathematical model is two dimensional, and the interior of the ground is modelled as an elastic layer overlying a rigid foundation. An analysis of the natural modes of free vibration in a single layer and two layers is presented and compared with known results. In addition the forced response of the layers, for which the surface is assumed to be subjected to a harmonic point force load is shown. These results also include an illustration of the attenuation of surface vibration due to ‘wave impedance blocks’ in the ‘near field’ of the source up to a frequency of 200 Hz for two soil types. Copyright © 2007 John Wiley & Sons, Ltd.     

层状地基中瑞利波随深度的衰减特性

层状地基中瑞利波（Rayleigh wave）的传播规律以及随深度的衰减规律是工程环境微振动分析与控制研究的关键问题之一。采用解析法（矩阵传递法）分析了层状地基中瑞利波弥散曲线,并在此基础上研究了各种频率下不同类型土层（上软下硬、软夹层、硬夹层）中瑞利波位移随深度衰减规律,通过与弹性半空间解的对比发现,瑞利波位移随深度的衰减规律与频率、土层分布密切相关：频率越高,传播深度越浅;特殊土层（软夹层、硬夹层）的存在会局部显著地改变其衰减规律,并且位移峰值的分布受到频率和土层分布的共同影响。最后,将该方法用于分析上海光源工程地基条件下瑞利波随深度的衰减规律,并与现场深孔微振动测试数据进行了比较。结果证明,与弹性半空间解相比,层状地基中瑞利波随深度的衰减规律可以更为准确地反映真实条件下瑞利波随深度的衰减规律。     

Deformation analysis of tunnel excavation below existing pipelines in multi‐layered soils based on displacement controlled coupling numerical method

The effect of tunneling on surrounding environments, especially on existing buried pipelines is a problem that engineers designing and practicing in urban geotechnical environments encounter more frequently than in the past. However, previous studies are usually based on the assumption that the soil is homogeneous. How to reflect soil stratification is the main focus for the problem of tunneling in multi‐layered soils. A displacement controlled coupling numerical method is presented for the displacement analysis of tunnel excavation below existing pipelines in multi‐layered soils. On the basis of the layered soil model, to consider the soil nonhomogeneous characteristic, the finite element method and boundary element method are coupled to simulate the deformation of existing pipelines induced by tunneling. The solutions indicate that good agreements are obtained between the proposed coupling numerical method and the commercial software. The accuracy of the proposed numerical method is better than the two stages method based on the existing closed‐form solutions. Moreover, the results discussed in this paper show that the error obtained by the previous method of weighted average on the basis of homogeneous half space converted from layered soils is not negligible for the obvious difference of elastic parameters among successive layers. Copyright © 2012 John Wiley & Sons, Ltd.     

基于层间位移协调的承压水降压引起土层变形分析

承压水降压引起的地面沉降由含水层、弱透水层和潜水层的变形组成。当承压层降压时间短、弱透水层固结变形较小时,可以假设弱透水层为严格的隔水层。采用层状弹性体系理论,基于位移协调条件分别建立了单井抽水以及第三类基坑工程降水（隔水帷幕插入降水含水层）引起的土层变形分析模型,与数值模拟和现场抽水试验结果的对比,验证了文中方法的正确性。研究结果表明,上覆土层弹性参数变化对地表变形的影响可以忽略;抽水井附近的土层变形呈现“上小下大”特点,一定距离以外含水层与地面沉降大致相等,根据承压含水层降深要求,可估算出基坑外的水位降深。     

A continuum model of layered rock masses with non-associative joint plasticity

Layered rock masses can be modelled either as standard, orthotropic continua if the layer bending can be neglected or as Cosserat continua if the influence of layer bending is essential. This paper presents a finite element smeared joint model based on the Cosserat theory. The layers are assumed to be elastic with equal thickness and equal mechanical properties. All the cosserat parameters are expressed through the elastic properties of layers, layer thickness and joint stiffness. Plastic-slip as well as tensile-opening of layer interface (joint) are accounted for in a manner similar to the conventional non-associative plasticity theory. As an application, the behaviour of an excavation in a layered rock mass is examined. The displacement and stress fields given by smeared joint models based on the Cosserat continuum and the conventional anisotropic continuum approaches are compared with those obtained from the discrete joint model. The conventional anisotropic continuum model is found to break-down completely when the effective shear modulus in the direction parallel to layering is low in comparison to the shear modulus of the intact layer, whereas the Cosserat model is found to be capable of accurately reproducing complex load–deflection patterns irrespective of the differences in shear moduli. © 1998 John Wiley & Sons, Ltd.     

Vertical deformation of rigid foundations of arbitrary shape on layered soil media

A numerical procedure is described for the analysis of vertical deformation of smooth, rigid foundations of arbitrary shape on homogeneous and layered soil media. The contact area at the interface of the foundation and soil medium is approximated by square subdivisions. The response of the system is then obtained from the superposition of the influence of the individual subdivisions. The flexibility influence coefficients are based on equivalent smooth, rigid circular areas with the same contact area as the square subdivisions. For foundations on a homogeneous, isotropic elastic half-space, the flexibility coefficients are given analytically by the integrated forms of the Boussinesq's solution. For a layered soil medium, the flexibility coefficients are determined from an axisymmetric finite element analysis which is essentially two dimensional. Thus, there is no necessity for a full three-dimensional finite element analysis. Comparison with solutions obtained using the integral transform technique for smooth, rigid rectangular foundations on a homogeneous, isotropic elastic half-space shows good agreement. Parametric solutions are presented for the response of rectangular foundations on some ‘typical’ soil profiles. The use of a simplified method to estimate the settlement of rectangular foundations on a layered soil medium by superposing solutions for homogeneous, elastic strata is discussed.     

A back analysis scheme for refined soil stratification based on integrating borehole and CPT data

Utilizing both borehole and Cone Penetration Testing (CPT) data in soil stratification helps to get more convincing soil stratification results. However, the soil classification results revealed by borehole (Unified Soil Classification System, USCS) and CPT tests (soil behavior type, SBT) are commonly not consistent. This study proposes a feasible solution to integrate the borehole and CPT data with the tree-based method. The tree-based method is naturally suitable for soil stratification tasks as it aims to divide the subsurface space into several clusters based on the similarities of the soil types. A novel boundary dictionary method is proposed to enhance the model performance on complex soil layer conditions. A probabilistic mapping matrix between the USCS-SBT system is built based on a collected municipal database with collocated borehole and CPT data. The optimal soil stratification results can be selected based on considering multiple borehole information and pruning the structure of trees. The structure of the trees can be optimized in a back analysis perspective with the Sequential Model-Based Global Optimization (SMBO) algorithm which aims to maximize the possibility of observing the borehole information based on the USCS-SBT probabilistic mapping matrix. The uncertainties of the optimal soil stratification results can be estimated based on a weighted Gini index method. The performance of the proposed method is validated based on a real case in New Zealand with a cross-validation method. The results indicate that the proposed method is robust and effective.