Manzocchi Tom, Walsh Deirdre A
iCRAG and Fault Analysis Group, UCD School of Earth Sciences, University College Dublin, Dublin 4, Ireland.
Math Geosci. 2023;55(4):461-496. doi: 10.1007/s11004-023-10046-0. Epub 2023 Feb 14.
Equations describing facies proportions and amalgamation ratios are derived for randomly placed objects belonging to two or three foreground facies embedded in a background facies, as a function of the volume fractions and object thicknesses of independent facies models combined in a stratigraphically meaningful order. The equations are validated using one-dimensional continuum models. Evaluation of the equations reveals a simple relationship between an effective facies proportion and an effective amalgamation ratio, both measured as a function only of the facies in question and the background facies. This relationship provides a firm analytical basis for applying the compression algorithm to multi-facies object-based models. A set of two-dimensional cross-sectional models illustrates the approach, which allows models to be generated with realistic object stacking characteristics defined independently for each facies in a multi-facies object-based model.
针对嵌入背景岩相中的属于两个或三个前景岩相的随机放置物体，推导了描述岩相比例和合并比率的方程，该方程是独立岩相模型按地层学上有意义的顺序组合后的体积分数和物体厚度的函数。使用一维连续介质模型对方程进行了验证。对方程的评估揭示了有效岩相比例和有效合并比率之间的简单关系，二者均仅作为所讨论岩相和背景岩相的函数进行测量。这种关系为将压缩算法应用于基于多岩相物体的模型提供了坚实的分析基础。一组二维横截面模型说明了该方法，该方法允许生成具有在基于多岩相物体的模型中为每个岩相独立定义的逼真物体堆叠特征的模型。
