On a new robust workflow for the statistical and spatial analysis of fracture data collected with scanlines (or the importance of stationarity)
On a new robust workflow for the statistical and spatial analysis of fracture data collected with scanlines (or the importance of stationarity)
复制标题
关于通过扫描线收集的裂缝数据进行统计和空间分析的新的稳健工作流程（或平稳性的重要性）
作者：
A. Bistacchi;S. Mittempergher;M. Martinelli;F. Storti
抽象的。我们提出了一个创新的工作流程，
沿沿着扫描线收集的裂缝数据的分析，由两个主要的
每个阶段都有不同的选择。我们分析的前提是
数据集的平稳性评估，其动机是
统计和地质方面的考虑。计算统计数据
非平稳数据在统计上可能是无意义的，而且
我们在这里讨论的标准化和/或子集化方法可以极大地
加深我们对地质变形过程的理解。我们
该方法基于执行非参数统计检验，
允许检测裂缝的空间分布的重要特征，
并对累积间距函数（CSF）和累积
间距导数（CSD），它允许定义静态的边界
以客观的方式。一旦分析了平稳性，其他
可以应用文献中已知的统计方法。这里我们
详细讨论旨在了解饱和度的方法
裂缝系统的基础上的类型的间距分布，我们
在没有适当证据支持的情况下，
空间统计分析
Abstract. We present an innovative workflow for the statistical
analysis of fracture data collected along scanlines, composed of two major
stages, each one with alternative options. A prerequisite in our analysis is
the assessment of stationarity of the dataset, which is motivated by
statistical and geological considerations. Calculating statistics on
non-stationary data can be statistically meaningless, and moreover the
normalization and/or sub-setting approach that we discuss here can greatly
improve our understanding of geological deformation processes. Our
methodology is based on performing non-parametric statistical tests, which
allow detecting important features of the spatial distribution of fractures,
and on the analysis of the cumulative spacing function (CSF) and cumulative
spacing derivative (CSD), which allows defining the boundaries of stationary
domains in an objective way. Once stationarity has been analysed, other
statistical methods already known in the literature can be applied. Here we
discuss in detail methods aimed at understanding the degree of saturation
of fracture systems based on the type of spacing distribution, and we
evidence their limits in cases in which they are not supported by a proper
spatial statistical analysis.