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Improved Permeability Prediction Relations for Low-Permeability Sands

机译:改善低渗透砂的渗透性预测关系

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This work addresses the problem of estimating Klinkenbergcorrected permeability from single-point, steady-state measurements on samples from low permeability sands. The "original" problem of predicting the corrected or "liquid equivalent" permeability (i.e., referred to as the Klinkenbergcorrected permeability) has been under investigation since the early 1940s — in particular, using the application of "gas slippage" theory to petrophysics by Klinkenberg.1 In the first part of our work, the applicability of the Jones- Owens4 and Sampath-Keighin5 correlations for estimating the Klinkenberg-corrected (absolute) permeability from singlepoint, steady-state measurements is investigated. We also provide an update to these correlations using modern petrophysical data. In the second part of our work, we propose and validate a new "microflow" model for the evaluation of an equivalent liquid permeability from gas flow measurements. This work is based on a more detailed application of similar concepts employed by Klinkenberg. In fact, we can obtain the Klinkenberg result as an approximate form of our result. Our theoretical "microflow" result is given as a rational polynomial in terms of the Knudsen number (the ratio of the mean free path of the gas molecules to the characteristic flow length (typically the radius of the capillary)). The following contributions are derived from this work: ● Validation and extension of the correlations proposed by Jones- Owens and Sampath-Keighin for low permeability samples. ● Development and validation of a new "microflow" model which correctly represents gas flow in low permeability core samples. This model is also applied as a correlation for prediction of the equivalent liquid permeability in much the same fashion as the Klinkenberg model, although our new model is substantially more theoretical (and robust) as compared to the Klinkenberg correction model.
机译:这项工作解决了从低渗透砂的样品上估计Klinkenberg校正渗透率的问题。预测校正或“液体当量”渗透率(即,称为Klinkenbergcration渗透率)的“原始”问题已经在20世纪40年代初进行了调查 - 特别是在Klinkenberg应用“气体滑动”理论对岩石物理学的应用.1在我们的工作的第一部分,研究了Jones-Owens4和Sampath-Keighin5的适用性,用于估算单次幂点,稳态测量的Klinkenberg校正(绝对)渗透性的相关性。我们还使用现代岩石物理数据提供对这些相关性的更新。在我们工作的第二部分,我们提出并验证了一种新的“微流”模型,用于评估来自气流测量的等效液态渗透性。这项工作基于更详细地应用Klinkenberg采用的类似概念。事实上,我们可以获得Klinkenberg结果作为我们结果的近似形式。在knudsen数(气体分子的平均自由路径与特征流动长度(通常是毛细管的半径)的比率中,我们理论的“微射线”结果被用作合理多项式。以下贡献来自这项工作:●琼斯 - 欧文斯和Sampath-keighin提出的相关性验证和扩展低渗透样本。 ●新的“微流动”模型的开发和验证,正确代表了低渗透核心样品中气流的模型。该模型也被用作与Klinkenberg模型相同的相同时尚预测相同的液态渗透性的相关性,尽管与Klinkenberg校正模型相比,我们的新模型是基本上更多的理论(和鲁棒)。

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