Here we present a methodology that quantifies fracture arrangement in space as a function of position (barycenters), size (trace length in 2D), and orientation (variation in strike). We use point process statistics to analyze distances between barycenters and estimate a confidence interval for randomness that is compared with input data. The methodology can discriminate at least four types of spatial arrangements and identifies preferential associations of distances with fracture length and orientation. We apply our method to two naturally fractured formations and show that it can determine fracture arrangements under a significant statistical confidence.

中文翻译：

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利用点过程统计分析二维裂缝的空间排列

在这里，我们提出了一种方法，将空间中的裂缝排列量化为位置（重心）、大小（二维轨迹长度）和方向（走向变化）的函数。我们使用点过程统计来分析重心之间的距离，并估计与输入数据进行比较的随机性的置信区间。该方法可以区分至少四种类型的空间排列，并确定距离与裂缝长度和方向的优先关联。我们将我们的方法应用于两个天然裂缝地层，并表明它可以在显着的统计置信度下确定裂缝排列。