Abstract The Archie model is empirical because it is based on curve-fitting methods, while the Geometric Factor Theory (GFT) is a physics-based porosity-conductivity model. Both these are used to compute water saturation (Sw) in simple Archie rocks (clean sandstones). Studies considering Archie's work demonstrated that Archie equation was not applicable to carbonates and shaly sands, and all the scientifically incorrect shaly sand equations were counterproductive modifications of the Archie equation. Nevertheless, instead of replacing Archie equation with some more meaningful equation, researchers tried to improve and modify Archie equation so that it can work in other reservoirs (carbonates and shaly sands) where it was not even applicable. In this paper, the Archie's and Geometric Factor Theory (GFT) equations were applied to the same data sets (well log and core), and the results were compared qualitatively and quantitatively. Outcomes from these approaches are closely similar in some wells; however, they differ in others by 2–3 porosity units. The wells where results differ from the core-derived results, n (saturation exponent) is modified to account for the differences. The log-based Sw values of 0.27 (Well-A), 0.24 (Well-B), 0.38 (Well-F) and 0.45 (Well-G) against core driven 0.27 (Well-A), 0.24 (Well-B), 0.36 (Well-F) and 0.46 (Well-G) show that the GFT driven estimates provide a good match with the core data than the Archie. Additionally, the cross-plots of GFT provide peculiar information about the pore geometry and diagenesis of rocks. It is, therefore, recommended to supplant Archie model with the Geometric Factor Theory model because the latter gives better results and is a physics-based porosity-conductivity model that also has a physical interpretation.

中文翻译：

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使用几何因子理论进行岩石物理评价并与阿尔奇模型进行比较

摘要 Archie 模型是基于曲线拟合方法的经验模型，而几何因子理论 (GFT) 是基于物理的孔隙度-电导率模型。这两者都用于计算简单阿尔奇岩石（清洁砂岩）中的水饱和度 (Sw)。考虑 Archie 工作的研究表明，Archie 方程不适用于碳酸盐岩和页岩砂，所有科学上不正确的页岩砂方程都是对 Archie 方程的适得其反的修改。尽管如此，研究人员并没有用一些更有意义的方程替换 Archie 方程，而是尝试改进和修改 Archie 方程，以便它可以在它甚至不适用的其他储层（碳酸盐和页岩砂）中起作用。在本文中，Archie' s 和几何因子理论 (GFT) 方程应用于相同的数据集（测井和岩心），并对结果进行定性和定量比较。在一些井中，这些方法的结果非常相似；然而，它们在其他方面的差异为 2-3 个孔隙度单位。结果与岩心导出结果不同的井，n（饱和指数）被修改以解释差异。基于对数的 Sw 值 0.27（Well-A）、0.24（Well-B）、0.38（Well-F）和 0.45（Well-G）与岩心驱动 0.27（Well-A）、0.24（Well-B） , 0.36 (Well-F) 和 0.46 (Well-G) 表明 GFT 驱动的估计提供了比 Archie 与核心数据更好的匹配。此外，GFT 的交会图提供了有关岩石孔隙几何形状和成岩作用的特殊信息。因此，