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首页> 外文期刊>Journal of natural gas science and engineering >Joint estimation of absolute and relative permeabilities using ensemble-based Kalman filter
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Joint estimation of absolute and relative permeabilities using ensemble-based Kalman filter

机译：使用基于集合的卡尔曼滤波器联合估算绝对渗透率和相对渗透率

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摘要

An ensemble-based, sequential assimilation procedure is developed and successfully applied to estimate absolute and relative permeabilities jointly under multi-phase (oil, gas and water) flow condition in the porous media. Two-phase oil water and gas oil relative permeabilities are represented by power-law models, and Stone's Model II is used to calculate three-phase oil relative permeability. Prior absolute permeability field is also generated with isotropic Gaussian covariance. The proposed method is validated by a twin numerical setup with three different case studies, in which a synthetic 2D reservoir under multi-phase flow condition is considered. In the first case, there is simultaneous flow of oil, water, and gas phases within the reservoir. In the second, only oil and water phases are present; and, only oil and gas phases are mobile for the third case. By assimilating measured production rates of the producers and bottomhole pressure of the injector, relative permeability curves and absolute permeability field are accurately estimated. Therefore, simultaneous estimation of absolute and relative permeabilities from measured production data is feasible if there exists a prior model for the absolute permeability field and relative permeability curves. (C) 2015 Elsevier B.V. All rights reserved.
机译：开发了基于整体的顺序同化程序，并成功地将其应用于多孔介质中多相（油，气和水）流动条件下的绝对和相对渗透率联合估算。幂律模型表示两相油水和粗柴油的相对渗透率，斯通模型II用于计算三相油的相对渗透率。先前的绝对渗透率场也用各向同性的高斯协方差生成。该方法通过一个具有三个不同案例研究的孪生数值设置进行了验证，其中考虑了在多相流条件下的合成二维油藏。在第一种情况下，油藏中同时发生油，水和气相的流动。在第二种情况下，仅存在油相和水相。在第三种情况下，只有石油和气相可以移动。通过吸收生产者的测得的生产率和注入器的井底压力，可以准确估算相对渗透率曲线和绝对渗透率场。因此，如果存在绝对渗透率场和相对渗透率曲线的现有模型，则从测得的生产数据中同时估算绝对渗透率和相对渗透率是可行的。 （C）2015 Elsevier B.V.保留所有权利。

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