基于三维地质模型的排土场边坡整体稳定性探究

目前所广泛采用的平面应变分析手段,针对排土场边坡稳定性评价时有时会出现某剖面安全系数高于设定允许值,实际中却遭破坏的现象,除了常被提及的力学参数、本构模型等因素,排土场凹形夹持效应和凸形发散作用突出以及滑体端部效应的影响,是分析结果不能准确反映实际的根本原因之一。鉴于此,从平面高程数据、地质剖面、钻孔资料等条件,配合插值效果较为稳定的Kriging法对空间数据进行插值,建立排土场三维地质整体模型。然后,采用自编FISH语言接口程序,将地质模型导入FLAC3D中离散化并计算,较为简单、有效地实现三维地质建模、模型可视化、岩土工程计算分析三位一体功能,有效地克服了平面分析无法解决的上述问题。以攀钢兰尖铁矿尖山第7排土场为实,对其整体稳定性进行应力、应变分析,采用三维强度折减法计算排土场三维整体安全系数,与现场调查及平面计算结果较为一致。基于该模型的计算结果可以有效避免排土场空间效应和滑体端部效应,得到的排土场全域应力-应变规律,对露天矿排土场的生产管理,具有一定的指导意义。     

三次样条插值在浮性频率计算中的应用

在普遍利用海洋观测站标准层的温度、盐度数据估算稳定层化海水浮性频率的传统算法中引入自然三次样条插植方法，不仅可使计算结果的精度得以提高，而且还可方便地对观测深度范围内的任一水层进行插值，从而获得总体曲率最小的温度、盐度和浮性频率随深度的分布。本文以南海（13°30’N，118°30’E；9°30’N，lll°30’E）及北太平洋（40°00’N130°00’W）3个测站为例，说明了在浮性频率的传统算法中引入自然三次样条插值法的可行性。     

Point- and curve-based geometric conflation

Geometric conflation is the process undertaken to modify the coordinates of features in dataset A in order to match corresponding ones in dataset B. The overwhelming majority of the literature considers the use of points as features to define the transformation. In this article we present a procedure to consider one-dimensional curves also, which are commonly available as Global Navigation Satellite System (GNSS) tracks, routes, coastlines, and so on, in order to define the estimate of the displacements to be applied to each object in A. The procedure involves three steps, including the partial matching of corresponding curves, the computation of some analytical expression, and the addition of a correction term in order to satisfy basic cartographic rules. A numerical example is presented.     

地学自由曲面径向基函数网络重建的详细算法

径向基函数(RadialBasisFunction,简称RBF)神经网络是一种理想的地学离散数据网格化工具,能够适应各种不同分布形式和边界条件的数据,收敛速度较快,可以逼近任何复杂曲面。这里详细介绍了RBF神经网络的算法。适当径向基函数的形式和偏差系数是使用RBF神经网络作地学曲面重建的关键。大量的实际数据验证结果表明,当选用Gauss型径向基函数时,一般可获得比较理想的网格化效果,同时具备"曲面平滑"和"拟合度高"的特点。     

数字高程模型的质量检查

提出基于方差-尺度规律的新型插值方法评价体系,根据“在给定研究区域内,变量的统计方差随尺度增大而减小”的理论规律,提出三项预设的评价准则。以DEM插值应用为例,选取高精度曲面模型、样条插值、克里金插值、反距离权重插值4种方法进行对比评价。数值实验表明,方差-尺度递变趋势的评价准则值得存疑。两组DEM插值案例表明,地形的复杂特性、插值算子的光滑效应以及尺度的综合效应致使理论的渐变规律无法达到。引入采样方差值后,不同采样密度下仍可以将方差变化趋势及方差的整体大小作为精度评价准则,在对第二、第三条预设评价准则修缮后确立三项评价准则。综合所有案例可知,此评价体系原理简单、操作方便,为DEM插值方法评价提供了一套新的标准和框架,并且可针对不同采样密度条件提出完善的插值方法适用性建议。     

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A method for assessing local variation among scattered measurements

Automatic triangulation of scattered locations permits analysis of local variation in a dependent variable through calculation of a roughness index. This is approached by treating triangles of the triangulation (including the dependent variable) as vectorial structures, and accumulating at each data point the vector sum of the cluster of triangles surrounding it. The roughness index is defined as the complement of the ratio of the area of a triangle cluster to the area of component triangles as projected onto a gradient plane defined by their vector sum. The roughness index provides a measure of consistency of data values relative to surrounding observations and can be interpreted as a local index of reliability of interpolation.     

The effect of interpolation methods in surface definition: an experimental study

Mappings of the earth surface and their representation in 3D (three‐dimensional) models are commonly used in most recent research. Modeling research, which starts with classical surveying methods, acquires new dimensions matching the modern technologies. 3D models of any object or earth surface can be used in much visual and scientific research. A digital model of the landscape is an important part within creation of geo‐information systems used in the public administration and in the commercial sphere. It is an important tool in applications such as geomorphology, hydrology, geology, cartography, ecology, mining etc. Values of volume in terrains that do not have regular geometric structure can be obtained more accurately by using 3D models of surfaces with respect to developing technology. Basic data of 3D models must indicate 3D coordinates of the surveyed object in the reference frame. Distribution and intensity of points are important factors in modeling earth surfaces. A minimum number of points is desired in defining an object in 3D. Interpolation methods employing different mathematical models are used to obtain 3D models of terrain surfaces. In this study, the effect of interpolation methods in defining a terrain surface is investigated. For this purpose, a uniform surface, hill‐shaped artificial object with a known volume is employed. The 3D surface and volume are calculated by using 12 different interpolation methods. Point distribution, point intensity and accuracy of point measurements are not considered. The same data set was used for all the interpolation methods. The interpolation methods are compared and evaluated based on the results. Copyright © 2007 John Wiley & Sons, Ltd.     

Missing precipitation data estimation using optimal proximity metric-based imputation,nearest-neighbour classification and cluster-based interpolation methods

Abstract

New optimal proximity-based imputation, K-nearest neighbour (K-NN) classification and K-means clustering methods are proposed and developed for estimation of missing daily precipitation records. Mathematical programming formulations are developed to optimize the weighting, classification and clustering schemes used in these methods. Ten different binary and real-valued distance metrics are used as proximity measures. Two climatic regions, Kentucky and Florida, (temperate and tropical) in the USA, with different gauge density and network structure, are used as case studies to evaluate the new methods. A comprehensive exercise is undertaken to compare the performances of the new methods with those of several deterministic and stochastic spatial interpolation methods. The results from these comparisons indicate that the proposed methods performed better than existing methods. Use of optimal proximity metrics as weights, spatial clustering of observation sites and classification of precipitation data resulted in improvement of missing data estimates.

Editor D. Koutsoyiannis; Associate editor C. Onof     

利用测井曲线绘制煤岩层真厚对比图

采用三次样条函数拟合测井数据，并使用新的采样间隔对其进行采样，将采样数据映射到真厚的钻孔柱状图上，从而绘制出真厚对比图。实际编程中，为保证其拟合精度及计算效率，实际采用的计算步长一般为本层厚度加上下扩展10m。选择采样间隔时，可对测井曲线进行抽稀，以减小数据占用的空间。该方法的使用解决了长期以来地质与测井对比图工作分离、结论出现差异的问题。