An Integrated Model Combining Complex Fracture Networks and Time-Varying Data Modeling Techniques for Production Performance Analysis in Tight Reservoirs

Chong Cao, Linsong Cheng, Zhihao Jia, P. Jia, Xuze Zhang, Yongchao Xue
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Abstract

Efficient development of tight reservoirs often relies on complex-hydraulic-fracture-network. Due to the time repeated iteration for simulation, the (semi)-analytical model or fully-numerical model often requires a trade-off especially for the accuracy of production analysis. Hence, a comprehensive model for accelerating production matching needs to be established. In this paper, a neighboring-long-short-term-memory (n-LSTM) model, integrated with a complex fracture semi-analytical flow model, can make production performance analysis with high efficiency. The interconnections between hydraulic and natural fractures with arbitrary angles and complex geometry were considered in flow model. Then, the reservoir flow derived from Laplace domain was coupled with fracture network flow numerically solved by finite difference method to obtain the semi-analytical flow solution. The specific distribution of flow solutions was obtained based on the range of reservoir properties, well information, and geological parameters. Thus datasets including production rate and date can be constructed, enlarged and split into training and testing dataset. The integrated model proposed in this paper adopted a non-orthogonal network with 4100 feet length and 53 segments for testing, and was applied for the characterization of complex fractures in the Changqing tight reservoir in the Ordos Basin, China. It is worth mentioning that 65 semi-analytical solutions are expanded to 1280 pairs of production-time data point using the n-LSTM model. With the strong power of capture and excavate the non-linear relationship between multitype data, it only takes a few minutes to forecast and match the daily production data with samples from actual oilfield. As a result, the mean square error of 0.31% in the training dataset and 2.63% in the testing dataset shows that the semi-analytical solution that accurately characterizes the complex fracture networks can be combined with improved LSTM for the prediction and analysis of oil production. In addition, it can be found that the prediction results of the integrated model can also identify the 1/4 slope and 1/2 slope straight lines in the log/log transient response curve. The interpreted results expand the application of semi-analytical solution assisted data-driven model and reduce the consumption of a large amount of repetition time. This paper provides an integrated data-driven model combined with semi-analytical model to make well performance analysis with more efficiency and high accuracy. This workflow, incorporated with fracture precise characterization, data generation and expansion, prediction and calibration, can be readily applied in oilfield to obtain fracture parameters with less time. In addition, time-series and small samples can be enlarged and excavated, especially for the in-proper records in production history.
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复杂裂缝网络与时变数据建模技术相结合的致密储层生产动态分析综合模型
致密储层的高效开发往往依赖于复杂的水力裂缝网络。半解析模型或全数值模型由于模拟的重复迭代时间长,往往需要权衡,特别是在生产分析的准确性方面。因此,需要建立一个加速生产匹配的综合模型。本文将邻长短时记忆模型与复杂裂缝半解析流动模型相结合,可以高效地进行生产动态分析。流动模型考虑了任意角度、复杂几何形状的水力裂缝与天然裂缝之间的相互联系。然后,将Laplace域导出的储层流动与有限差分法数值求解的裂缝网络流动耦合,得到半解析流动解。根据储层物性、井信息和地质参数的范围,获得了流体溶液的具体分布。因此,包括生产率和日期的数据集可以被构建、扩大并分为训练和测试数据集。本文提出的综合模型采用长度为4100英尺、53段的非正交网络进行测试,并应用于鄂尔多斯盆地长庆致密储层复杂裂缝的表征。值得一提的是,使用n-LSTM模型将65个半解析解扩展到1280对生产时间数据点。凭借强大的捕获和挖掘多类型数据之间非线性关系的能力,只需几分钟即可将日产量数据与实际油田的样本进行预测和匹配。训练集和测试集的均方误差分别为0.31%和2.63%,表明该半解析解能够准确表征复杂裂缝网络,可与改进的LSTM相结合,用于石油产量预测和分析。此外,可以发现,综合模型的预测结果还可以识别log/log暂态响应曲线中的1/4斜率和1/2斜率直线。解析结果扩展了半解析解辅助数据驱动模型的应用,减少了大量重复时间的消耗。本文提出了一种数据驱动模型与半解析模型相结合的综合模型,以提高井动态分析的效率和精度。该工作流程结合了裂缝的精确表征、数据生成和扩展、预测和校准,可以很容易地应用于油田,以更短的时间获得裂缝参数。此外,可以对时间序列和小样本进行放大和挖掘,特别是对生产历史中不正确的记录。
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