Simulation of normal distributed smooth fields by Karhunen-Loéve expansion in combination with kriging

Simulation of multigaussian stochastic fields can be made after a Karhunen-Loéve expansion of a given covariance function. This method is also called simulation by Empirical Orthogonal Functions. The simulations are made by drawing stochastic coefficients from a random generator. These numbers are multiplied with eigenfunctions and eigenvalues derived from the predefined covariance model. The number of eigenfunctions necessary to reproduce the stochastic process within a predefined variance error, turns out to be a cardinal question. Some ordinary analytical covariance functions are used to evaluate how quickly the series of eigenfunctions can be truncated. This analysis demonstrates extremely quick convergence to 99.5% of total variance for the 2nd order exponential (‘gaussian’) covariance function, while the opposite is true for the 1st order exponential covariance function. Due to these convergence characteristics, the Karhunen-Loéve method is most suitable for simulating smooth fields with ‘gaussian’ shaped covariance functions. Practical applications of Karhunen-Loéve simulations can be improved by spatial interpolation of the eigenfunctions. In this paper, we suggest interpolation by kriging and limits for reproduction of the predefined covariance functions are evaluated.     

全站仪近距离测距精度检验方法的探讨

提出了室内基线法，给出了相应的数据处理方法，并用实测数据进行了计算，结果显示全站仪在室内、短边条件下的测距精度较标称精度有很大的提高。该法所得结果与现存两种方法的结果基本相当，从而证明了该法能够客观地反映出工业测量用全站仪的近距离测距精度。     

融合海域多源重力数据的正则化点质量方法

泰勒级数展开是实施位场向下延拓解算的主要方法之一。该方法的有效性主要取决于位场延拓参量各阶垂向（或径向）偏导数的求取精度及其可靠性。为了避免使用封闭解析核函数在球边界面出现奇异性带来的不确定性问题,依据各类重力观测经滤波处理后均表现为一类有限频谱带宽信号的特点,提出将地球外部重力异常泊松积分式的核函数表示为球谐级数展开式,并将其截断为与重力观测值频谱范围相一致的带限求和式,进而通过直接求导方法,推导得到一组与带限核函数相对应的重力异常高阶径向导数带限计算公式,同时对该组公式进行了实用性改化,并将其应用于重力异常向下延拓泰勒级数展开式计算。使用超高阶地球位模型EGM2008设计两个阶段的数值计算检验方案,分别对重力异常高阶径向偏导数带限模型及其泰勒级数展开向下延拓模型的计算精度进行了检核评估,表明新模型具有良好的可靠性和有效性,在解算稳定性和计算精度两个方面都优于其他同类模型。

     

关于固结度计算的一点看法

通过探寻渗透系数、压缩系数(或体积压缩系数)与孔隙比在固结过程中的变化规律来确定固结系数与固结时间的关系并将其用于固结度计算是无益的,原因在于固结度计算公式只在固结系数为常数时才成立。     

Extrusion movements of a tunnel head reinforced by finite length bolts—a closed‐form solution using homogenization approach

An analytical model on the general behaviour of a tunnel head, reinforced by finite length bolts is proposed. This model is based on the homogenization method and spherical symmetry assumption. Despite its simplicity, and in consequence its limits of validity, it does allow a quick estimation of the key design parameters: frontal displacement, extension of decompressed zone, ground stresses and bolt tension, and constitutes thereby a very useful and handy tool for design engineers. In particular, the influence of the reinforcement length, as well as other important design parameters, are studied by the proposed model. The charts resulting from the parametric studies are directly applicable. Otherwise, the comparison to a 3D numerical model is also presented in this paper. The first results provide the validation of the analytical solution, at least in terms of average extrusion movements. Copyright © 2000 John Wiley & Sons, Ltd.     

Waterjet-assisted rock cutting systems — the present state of the art

Summary A review of the benefits of assisting mechanical tools, notably drag bits, with moderate pressure waterjets suitably directed with respect to the bit is given. These benefits include reduced bit forces, especially the bit normal force, reduced bit wear, reduced dust make, and reduced incidence of frictional sparking. The research work that has been conducted to date to investigate this phenomenon has been empirical in nature. Experiments are described that extend the data bank of this empirical knowledge. In addition, experiments aimed at gaining a better understanding of the fundamentals of the rock fragmentation process with this hybrid cutting method are outlined.Results from the first of these experimental series are used to make recommendations as to the position of the jet with respect to the bit, the stand-off distance between the nozzle exit and the bit/rock interface, and the jet energy. In addition, preliminary findings are reported regarding the increase necessary in the jet energy when the bit velocity is increased. Results from the second test series are discussed in the context of rock fracture behaviour induced by mechanical bits acting alone. The likely influence of waterjets on these fracture processes is analysed. It is concluded that, in terms of the bit force reductions, a dominant influence of the jets when used in conjunction with sharp drag bits, is continuous removal of the rock debris that forms ahead of the advancing bit. The observed reductions in bit wear and incidence of frictional sparking are attributed to reduced heat loading of the bit during the cutting operation. Reductions in the dust make are attributed to effective wetting of the fine rock particles before they become entrained in the airstream.     

非传统稳定同位素分析技术要点

高精度高质量的同位素分析技术是开展非传统稳定同位素地球化学工作的前提。同位素分析是不断提取样品真实信息的过程,包括样品制备、化学分离、质谱测定和数据处理4个基本步骤。在同位素分析过程中,每一环节都有可能引入空白或者污染,或造成同位素分馏,引发信息“失真”。为了准确获得样品的真实同位素组成,必须有效避免污染并精准校正在分析过程中可能的干扰。以Ca同位素为例,在总结前人工作的基础上,探讨了各个步骤所涉及的分析要点,为建立其他同位素体系的分析方法提供参考,为后续储库探讨、机理解析及应用研究提供技术支撑。     

基于软硬石模板库的土石混合体细观损伤与力学特性分析

为了探究含软、硬两种岩性碎块石土石混合体的变形破坏过程与力学性质,发展了一种基于软硬石模板库的土石混合体建模方法。通过在PFC2D中建立符合原位结构特征的软硬石模板库,利用此模板库生成了不同含石量土石混合体颗粒流模型,对土石混合体进行了单轴压缩颗粒流模拟。结果表明：土石混合体破坏始于土-石接触面,土石介质分离大多因剪切破坏导致,加载前期微裂纹迅速增长,中、后期微裂纹增长速率减缓,但宏观变形渐趋显著;随着含石量的增加,土石混合体单轴抗压强度逐渐降低,块石的转动与侧向移动会加剧土石混合体的整体破坏;相同含石量下,随着软石比例的增加,单轴抗压强度呈下降趋势,试验后试样破裂率与单个软石颗粒的破裂程度均保持在较高水平,软石颗粒破裂是引起土石混合体单轴抗压强度降低的重要原因。     

基于层理影响的煤样加载过程声发射差异性分析

为了探究层理对煤矿开采过程中煤岩声发射特征的影响,在寺河矿采集煤样,根据煤样制作要求,分别沿轴向垂直层理方向和平行层理方向加工煤样。利用RMT-150B岩石力学实验系统和CDAE-1全数字化声发射检测及分析系统,对煤样加载过程中的应力-应变、声发射特征进行测试分析。测试结果显示：轴向垂直层理煤样不仅具有较高的岩石力学强度和声发射强度,而且声发射特征具有较强的突变性和滞后性。声发射特征的差异性体现了在加载过程中,轴向垂直层理煤样以整体变形、破坏为主,轴向平行层理煤样以局部变形、破坏为主,这为煤矿井下动力灾害的监测、预报提供了指导。     

Jump conditions and dynamic surface tension at permeable interfaces such as the inner core boundary

We consider a fluid crossing a zone of rapid density change, so thin that it can be considered as a density jump interface. In this case, the normal velocity undergoes a jump. For a Newtonian viscous fluid with low Reynolds number (creeping flow) that keeps its rheological properties within the interface, we show that this implies that the traction cannot be continuous across the density jump because the tangential stress is singular. The appropriate jump conditions are established by using the calculus of distributions, taking into account the curvature of the interface as well as the density and viscosity changes. Independently of any intrinsic surface tension, a dynamic surface tension appears and turns out to be proportional to the mass transfer across the interface and to a coefficient related to the variations of density and viscosity within the interface. Explicit solutions are exhibited to illustrate the importance of these new jump conditions. The example of the Earth's inner core crystallisation is questioned.