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Application of the Adaptive Gaussian Mixture Filter to History Match a Real Field Case

机译:自适应高斯混合滤波器在历史上的应用匹配真实的野外情况

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Over the last decade the ensemble Kalman filter (EnKF) has attracted attention as a promising method for solving the reservoir history matching problem: Updating model parameters so that the model output matches the measured production data. The method possesses unique qualities such as; it provides real time update and uncertainty quantification of the estimate, it can estimate any physical property at hand. The method does, however, have its limitations; in particular it is derived based on an assumption of a Qaussianity. A recent method proposed to improve upon the original EnKF method is the Adaptive Gaussian mixture filter (AGM). The AGM loosens up the requirements of a linear and Gaussian model by making smaller linear updates and including importance weights associated with each ensemble member at computational costs as low as EnKF. In this paper we present results where the AGM algorithm is combined with localization. To validate the performance of AGM the result is compared with the EnKF, with and without localization From the results, we are able to distinguish the performance of the different filters. In particular all the methods provide good history match, but we see that the AGM stands out by better honoring the original geostatistics.
机译:在过去十年中,集合卡尔曼滤波器(ENKF)引起了一种注意,以解决储存历史匹配问题的有希望的方法:更新模型参数,以便模型输出与测量的生产数据匹配。该方法具有独特的品质,如;它提供了实时更新和不确定性量化的估计,它可以估算手头的任何物理性质。然而,该方法具有其限制;特别是它基于Qaussianity的假设来得出。最近提出改善原始ENKF方法的方法是自适应高斯混合滤波器(AGM)。 AGM通过制造较小的线性更新,包括与每个集合成员以计算成本相关联的重要性重量,如ENKF,通过计算成本低于每个集合构件的重量。在本文中,我们呈现了AGM算法与本地化结合的结果。为了验证AGM的性能,将结果与ENKF进行比较,在结果中没有本地化,我们能够区分不同滤波器的性能。特别是所有方法都提供了良好的历史匹配,但我们看到AGM通过更好地尊重原始地统计数据来突出。

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