Rock textures observed via thin section are skewed from their true 3D nature. This is due to various cut effects—artifacts introduced due to the lower dimensional nature of the thin section relative to the rock. These cut effects can be corrected, and several methods have been developed to invert crystal shape and crystal size, but with each process performed separately and sequentially. With the ongoing adoption of electron backscatter diffraction (EBSD) by petrologists, an additional data stream has now become available: the 3D orientation of 2D grain sections. For EBSD analysis, no stereological corrections are typically applied for interpreting the data. This study tests whether this orientational information is skewed due to a fabric cut effect. We test this by numerically generating synthetic crystal datasets representative of several crystal shapes and population sizes. We find that EBSD orientational data has a fabric cut effect since crystals oriented with long axes perpendicular to the thin section are more likely to be sampled compared to those with long axes oriented parallel to it. This effect must be accounted for to interpret the true 3D fabric accurately. Towards this end, we develop two new tools for working with EBSD-derived fabric: (1) a simple first-order test for determining if a measured fabric exceeds that of the fabric cut effect, and (2) a method of inverting cut fabrics that provides robust error estimations. We demonstrate the applicability and accuracy of these methods using a range of synthetic examples and a natural sample. With these newly developed tools, there is clear potential for a new textural toolkit framework, to further our ability to correct for the various cut effects while also providing accurate uncertainty estimates.

通过薄片观察到的岩石纹理与其真实的 3D 性质存在偏差。这是由于各种切割效应——由于薄片相对于岩石的较低维度性质而引入的伪影。这些切割效果可以纠正，并且已经开发了几种方法来反转晶体形状和晶体尺寸，但每个过程单独且顺序执行。随着岩石学家不断采用电子背散射衍射 (EBSD)，现在可以使用额外的数据流：2D 颗粒切片的 3D 方向。对于 EBSD 分析，通常不应用体视校正来解释数据。这项研究测试了该方向信息是否由于织物切割效应而出现偏差。我们通过数字生成代表多种晶体形状和群体大小的合成晶体数据集来测试这一点。我们发现 EBSD 取向数据具有织物切割效应，因为与长轴平行取向的晶体相比，长轴垂直于薄片取向的晶体更有可能被采样。必须考虑到这种效应才能准确解释真正的 3D 织物。为此，我们开发了两种用于处理 EBSD 衍生织物的新工具：(1) 一个简单的一阶测试，用于确定测量的织物是否超过织物裁剪效果，以及 (2) 一种反转裁剪织物的方法提供稳健的误差估计。我们使用一系列合成示例和天然样品证明了这些方法的适用性和准确性。有了这些新开发的工具，新的纹理工具包框架就有明显的潜力，可以进一步提高我们纠正各种剪切效果的能力，同时提供准确的不确定性估计。