A Big Data Study: Correlations Between EUR and Petrophysics/Engineering/Production Parameters in Shale Formations by Data Regression and Interpolation Analysis

Yu Liang, Lulu Liao, Ye Guo
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引用次数: 10

Abstract

Shale hydrocarbon production has become an increasingly important part of global oil and gas supply during the past decade. The life of projects in unconventional plays, such as shale oil and gas, tight oil and gas, coal bed methane etc., heavily depends on the Estimated Ultimate Recovery (EUR). However, the correlation to predict EUR in conventional plays becomes invalid for unconventional plays, which significantly affects the economics of relevant unconventional projects. The objective of this paper is to investigate the correlations between EUR and petrophysics/engineering/production parameters by data regression and interpolation analysis via big data mining from Eagle Ford. Furthermore, a 4-D interpolated EUR database and EUR prediction models are established based on the relevant regression and interpolation results. This study not only helps us understand the physics behind EUR prediction in unconventional plays, but also facilitates determining the viability of projects in unconventional formations from a big data perspective. In this study, petrophysics/engineering/production data from 4067 wells in Eagle Ford is summarized for analysis. Firstly, a sensitivity analysis is carried out to determine the most sensitive petrophysics and engineering controlling factors. In particular, the physics behind the EUR predictions is discussed in details. Following it, the 2-D nonlinear regression and the multivariate linear regression are applied to evaluate the relationship between EUR and engineering/production data. In addition, a 4-D interpolated EUR database is established to predict EUR based on the petrophysics parameters. The applied nonlinear multivariate interpolation methodology is the Triangulated Irregular Network based Nearest Interpolation Method (3-D). Finally, the 4-D interpolated EUR database are applied to several wells in the Eagle Ford to test its accuracy, confidence and reliability. Based on the sensitivity analysis results, Vitrinite Reflectance Equivalent (VRE), Total Organic Carbon (TOC) and Resource Density (porosity, hydrocarbon saturation and gross formation thickness) are the most sensitive and important parameters in Eagle Ford shale formation. Based on the data-mining results, effective lateral length has a positive monotonic relation with EUR; EUR increases with more proppant weight and higher true vertical depth. Frac stage and perf per cluster do not have a strong correlation with EUR. In addition, azimuth has a vague relation with EUR while drilling along the North-South orientation is the safest approach in Eagle Ford Shale. The physics behind the correlations is analyzed and discussed in detail. Finally, several DCA EURs of wells from Eagle Ford are used to test the established 4-D interpolated EUR database, and the study results show that the relative errors in EUR predictions are within 30%, indicating that the methodology in this study has great potentials for unlocking more reserves economically in shale formations. This study offers an insightful understanding of unconventional hydrocarbon production mechanism from a big data perspective, as well as a feasible and accurate method to predict EUR and evaluate projects economic feasibility in Eagle Ford. This methodology can be also applied to other unconventional fields such as Utica, Permian and Bakken Shale plays, if data is available.
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大数据研究:通过数据回归和插值分析EUR与页岩地层岩石物理/工程/生产参数之间的相关性
在过去的十年中,页岩油气生产已经成为全球油气供应中越来越重要的一部分。非常规油气藏(如页岩油气、致密油气、煤层气等)项目的寿命在很大程度上取决于预计最终采收率(EUR)。然而,常规区块预测EUR的相关性对于非常规区块来说是无效的,这严重影响了相关非常规项目的经济效益。本文的目的是通过Eagle Ford的大数据挖掘,通过数据回归和插值分析,研究EUR与岩石物理/工程/生产参数之间的相关性。基于相关回归和插值结果,建立了4维插值EUR数据库和EUR预测模型。这项研究不仅帮助我们了解非常规油藏中EUR预测背后的物理原理,还有助于从大数据的角度确定非常规地层中项目的可行性。在这项研究中,总结了Eagle Ford地区4067口井的岩石物理/工程/生产数据进行分析。首先进行敏感性分析,确定最敏感的岩石物理和工程控制因素。特别是,详细讨论了欧元预测背后的物理原理。其次,应用二维非线性回归和多元线性回归来评估EUR与工程/生产数据之间的关系。此外,建立了基于岩石物理参数的四维插值EUR数据库,对EUR进行预测。应用的非线性多元插值方法是基于不规则三角网的最接近插值法(三维)。最后,将4-D插值EUR数据库应用于Eagle Ford的几口井,以测试其准确性、置信度和可靠性。根据敏感性分析结果,镜质体反射率当量(VRE)、总有机碳(TOC)和资源密度(孔隙度、含烃饱和度和总地层厚度)是Eagle Ford页岩最敏感和最重要的参数。根据数据挖掘结果,有效横向长度与EUR呈单调正相关;EUR随着支撑剂重量的增加和真垂直深度的增加而增加。压裂级数和每个压裂簇的渗透率与EUR没有很强的相关性。此外,方位与EUR的关系模糊,而在Eagle Ford页岩中,沿南北方向钻井是最安全的方法。详细分析和讨论了这些相关性背后的物理原理。最后,利用Eagle Ford几口井的DCA EUR对建立的4-D插值EUR数据库进行了测试,研究结果表明,EUR预测的相对误差在30%以内,表明该方法在页岩层经济开发更多储量方面具有很大的潜力。该研究从大数据的角度对非常规油气生产机理有了深刻的认识,为Eagle Ford地区预测EUR和评估项目经济可行性提供了一种可行、准确的方法。如果数据可用,该方法也可以应用于其他非常规油田,如Utica、Permian和Bakken页岩。
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