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History matching of facies distribution with the EnKF and level set parameterization

机译:使用EnKF和水平集参数化对相分布进行历史匹配

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摘要

In this work, we develop a methodology to combine the Ensemble Kalman filter (EnKF) and the level set parameterization for history matching of facies distribution. With given prior knowledge about the facies of the reservoir geology, initial realizations are generated by commonly used software as the prior guesses of the unknown field. Furthermore, level set functions are used to reparameterize these initial realizations. In the reparameterization process, a representing node system is set up, on which the values of level set functions are assigned using Gaussian random numbers. The mean and the standard deviation of the Gaussian random numbers are designed according to the facies proportion, and the sign of the random numbers depends on the facies type at the representing nodes. The values of the level set functions at the other grid nodes are obtained by linear interpolation. The level set functions on the representing nodes are the model parameters of the EnKF state vector and are updated in the data assimilation process. On the basis of our numerical examples for two-dimensional reservoirs with two or three facies, the proposed method is demonstrated to be able to capture the main features of the reference facies distributions.
机译:在这项工作中,我们开发了一种方法,可以将Ensemble Kalman滤波器(EnKF)和水平集参数化相结合,以进行相分布的历史匹配。有了有关储层地质相的先验知识,即可通过常用软件生成初始认识,作为对未知油田的先验猜测。此外,水平集功能用于重新参数化这些初始实现。在重新参数化过程中,建立了一个代表节点系统,在该系统上,使用高斯随机数分配了级别设置功能的值。根据相比例设计高斯随机数的均值和标准差,随机数的符号取决于表示节点上的相类型。通过线性插值获得其他网格节点上的水平设置函数的值。代表节点上的级别集函数是EnKF状态向量的模型参数,并在数据同化过程中进行更新。基于我们的具有两个或三个相的二维油藏的数值实例,证明了所提出的方法能够捕获参考相分布的主要特征。

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