二叠系盆地产量预测的不确定性分析

Ademide O. Mabadeje, R. Moghanloo
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摘要

本文对二叠纪盆地2000多口完井的产量预测进行了决策影响和不确定性评价。现有研究表明,非常规油藏储层特征复杂,传统的最终采收率估算方法存在不足。基于这些局限性,在储层物性估计、储量量化和经济可行性评价中增加了不确定性。因此,有必要确定和推荐这些储层的有利开发条件。在本研究中,使用四种不同的递减曲线分析(DCA) -幂律指数,拉伸指数,扩展指数和Duong模型预测累积产量。将使用历史数据子集(0-3个月)的模型预测的累积产量与同期观察到的实际产量数据进行比较,决定了DCA的准确性;在随后的时间间隔(0-6个月,0-9个月)重复评估,为随时间监测每个DCA的性能提供了基础。此外,最佳的预测模型作为DCA预测的组合是通过多元回归确定的。然后,对排除任何偏差的预测误差的不确定性进行估计,并利用概率密度函数对得到的结果计算期望失望度(ED)。在本文中,不确定性是由所有考虑井的ED随时间的曲线来估计的。随着用于估算的数据越来越多,生产历史越长的井的产油量越低。此外,在每种情况下,对使用各种DCA方法的操作人员所经历的意外/失望进行了估计。然而,虽然Duong (DNG)方法总是过度预测,幂律指数(PLE)下降大多低于预测,但拉伸指数介于DNG和PLE估计之间,而扩展指数DCA表现出随时间多次跨越实际趋势的不稳定行为。综上所述,Permian盆地的产油盈利区是基于钻井和完井实践来确定的,这为通过优化裂缝间距和井的水平长度来确定“甜点”铺平了道路。本文的研究结果有助于提高行业对产量预测中的不确定性分析,特别是预期失望/意外的概念。该研究表明,决策偏差的影响可能比通常认为的要大得多,这可能会改变二叠纪盆地在经济可行性方面的绩效评价。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Uncertainty Analysis of Production Forecast in Permian Basin
This paper evaluates the impact of decision making and uncertainty associated with production forecast for 2000+ wells completed in Permian basin. Existing studies show that unconventional reservoirs have complex reservoir characteristics making traditional methods for ultimate recovery estimation insufficient. Based on these limitations, uncertainty is increased during the estimation of reservoir properties, reserve quantification and, evaluation of economic viability. Thus, it is necessary to determine and recommend favorable conditions in which these reservoirs are developed. In this study, cumulative production is predicted using four different decline curve analysis (DCA) − power law exponential, stretched exponential, extended exponential and Duong models. A comparison between the predicted cumulative production from the models using a subset of historical data (0-3months) and actual production data observed over the same time period determines the accuracy of DCA's; repeating the evaluation for subsequent time intervals (0-6 months, 0-9 months,) provides a basis to monitor the performance of each DCA with time. Moreover, the best predictive models as a combination of DCA's predictions is determined via multivariate regression. Afterwards, uncertainty due to prediction errors excluding any bias is estimated and expected disappointment (ED) is calculated using probability density function on the results obtained. In this paper, uncertainty is estimated from the plot of ED versus time for all wells considered. ED drops for wells having longer production history as more data are used for estimation. Also, the surprise/disappointment an operator experiences when using various DCA methods is estimated for each scenario. However, it appears that whilst Duong (DNG) method always overpredicts, power law exponential (PLE) decline mostly under predicts, the stretched exponential lies between DNG & PLE estimates and the extended exponential DCA demonstrates an erratic behavior crossing over the actual trend multiple times with time. In conclusion, profitability zones for producing oil in the Permian basin are defined implicitly based on drilling and completion practices which paves the path to determine the "sweet spot" via optimization of fracture spacing and horizontal length in the wells. The outcome of the paper helps improve the industry's take on uncertainty analysis in production forecast, especially the concept of expected disappointment/surprise. This study suggests that effects of bias due to decision making can be much greater than what has often regarded, which can change the performance evaluation of the Permian basin in terms of economic feasibility.
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