Ooids are a common type of carbonate sand grain that form through a combination of constructive and destructive mechanisms: growth via precipitation and diminution via physical abrasion. Because growth and abrasion obey distinct morphometric rules, we developed an approach to quantitatively constrain the history of growth and abrasion of individual ooid grains using the record of evolving particle shape preserved by their cortical layers. We designed a model to simulate >10⁶ possible growth‐abrasion histories for each pair of cortical layer bounding surfaces in an individual ooid. Estimates for the durations of growth and abrasion of each cortical layer were obtained by identifying the simulated history that best fit the observed particle shape. We applied this approach to thin sections of “modern” lacustrine ooids collected from several locations in the Great Salt Lake (GSL), UT, to assess the spatial and temporal variability of environmental conditions from the perspective of individual grains within a single deposit. We found that GSL ooids do not all share the same histories: Clustering ooid histories by a Fréchet distance metric revealed commonalities between grains found together locally within a deposit but distinct differences between subpopulations shared among localities across the GSL. These results support the tacit view that carbonate sedimentary grains found together in the environment do reflect a common history of sediment transport. This general approach to invert ooid cortical stratigraphy can be applied to characterize environmental variability over <1,000 year timescales in both marine and lacustrine ooid grainstones of any geologic age.

中文翻译：

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Ooid皮质地层学揭示了共同出现的沉积颗粒的共同历史

Ooids是碳酸盐沙粒的一种常见类型，它是通过建设性和破坏性机制相结合而形成的：通过沉淀而生长，而通过物理磨损而减少。由于生长和磨损遵循不同的形态规则，因此，我们开发了一种方法，利用其皮质层保留的不断演变的颗粒形状记录，来定量限制单个卵石晶粒的生长和磨损历史。我们设计了一个模型来模拟> 10 ⁶单个卵石中每对皮质层边界表面的可能的生长磨损史。通过确定最适合观察到的颗粒形状的模拟历史记录，可以获得每个皮质层的生长和磨损持续时间的估计值。我们将此方法应用于从犹他州大盐湖（GSL）多个位置收集的“现代”湖相湖形薄片的薄切片，以从单个矿床中的单个谷物的角度评估环境条件的时空变化。我们发现GSL类固醇的历史并不完全相同：通过Fréchet距离度量对Ooid类历史进行聚类，揭示了在沉积物中局部在一起发现的谷物之间的共性，但在GSL各地区之间共享的亚种群之间存在明显差异。这些结果支持了这样一种默认观点，即在环境中一起发现的碳酸盐沉积颗粒确实反映了沉积物迁移的共同历史。这种用于反转类固醇层状地层的一般方法可用于表征任何地质时代的海洋和湖相类固结石在<1,000年时间范围内的环境变异性。