Uncertainty Quantification in History Matching of Channelized Reservoirs using Markov Chain Level Set Approaches

Author(s):  
Jiang Xie ◽  
Yalchin Efendiev ◽  
Akhil Datta-Gupta
SPE Journal ◽  
2014 ◽  
Vol 19 (03) ◽  
pp. 514-529 ◽  
Author(s):  
Jing Ping ◽  
Dongxiao Zhang

Summary For channelized reservoirs with unknown channel distributions, identifying the continuous and sinuous features of channel distributions is crucial for determining their production behaviors. However, traditional history-matching methods are not appropriate because the pixel-based rock-property fields are usually highly non-Gaussian. In this work, a vector-based level-set parameterization technique for channelized reservoirs is presented. We also propose a combination of this parameterization method and a frequently used history-matching approach, the ensemble Kalman filter (EnKF). To properly represent the continuity and sinuosity of its embedded features, the channelized reservoir is parameterized with a vector that consists of level-set function, real radius, and virtual radius on a representing node system. The level-function value indicates the existence of the particular facies; the real radius of a circle in two dimensions or a sphere in three dimensions signifies the size of the facies; and the virtual radius is used to ensure the continuity of the channelized facies. The 2D and 3D examples of channelized reservoirs are set up to demonstrate the capability of the proposed method. It is found that this method is effective to deal with the history-matching problem of channelized reservoirs.


2013 ◽  
Vol 50 ◽  
pp. 4-15 ◽  
Author(s):  
D. Arnold ◽  
V. Demyanov ◽  
D. Tatum ◽  
M. Christie ◽  
T. Rojas ◽  
...  

Energies ◽  
2021 ◽  
Vol 14 (6) ◽  
pp. 1557
Author(s):  
Amine Tadjer ◽  
Reidar B. Bratvold

Carbon capture and storage (CCS) has been increasingly looking like a promising strategy to reduce CO2 emissions and meet the Paris agreement’s climate target. To ensure that CCS is safe and successful, an efficient monitoring program that will prevent storage reservoir leakage and drinking water contamination in groundwater aquifers must be implemented. However, geologic CO2 sequestration (GCS) sites are not completely certain about the geological properties, which makes it difficult to predict the behavior of the injected gases, CO2 brine leakage rates through wellbores, and CO2 plume migration. Significant effort is required to observe how CO2 behaves in reservoirs. A key question is: Will the CO2 injection and storage behave as expected, and can we anticipate leakages? History matching of reservoir models can mitigate uncertainty towards a predictive strategy. It could prove challenging to develop a set of history matching models that preserve geological realism. A new Bayesian evidential learning (BEL) protocol for uncertainty quantification was released through literature, as an alternative to the model-space inversion in the history-matching approach. Consequently, an ensemble of previous geological models was developed using a prior distribution’s Monte Carlo simulation, followed by direct forecasting (DF) for joint uncertainty quantification. The goal of this work is to use prior models to identify a statistical relationship between data prediction, ensemble models, and data variables, without any explicit model inversion. The paper also introduces a new DF implementation using an ensemble smoother and shows that the new implementation can make the computation more robust than the standard method. The Utsira saline aquifer west of Norway is used to exemplify BEL’s ability to predict the CO2 mass and leakages and improve decision support regarding CO2 storage projects.


Geofluids ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-21 ◽  
Author(s):  
Sungil Kim ◽  
Baehyun Min ◽  
Kyungbook Lee ◽  
Hoonyoung Jeong

This study couples an iterative sparse coding in a transformed space with an ensemble smoother with multiple data assimilation (ES-MDA) for providing a set of geologically plausible models that preserve the non-Gaussian distribution of lithofacies in a channelized reservoir. Discrete cosine transform (DCT) of sand-shale facies is followed by the repetition of K-singular value decomposition (K-SVD) in order to construct sparse geologic dictionaries that archive geologic features of the channelized reservoir such as pattern and continuity. Integration of ES-MDA, DCT, and K-SVD is conducted in a complementary way as the initially static dictionaries are updated with dynamic data in each assimilation of ES-MDA. This update of dictionaries allows the coupled algorithm to yield an ensemble well conditioned to static and dynamic data at affordable computational costs. Applications of the proposed algorithm to history matching of two channelized gas reservoirs show that the hybridization of DCT and iterative K-SVD enhances the matching performance of gas rate, water rate, bottomhole pressure, and channel properties with geological plausibility.


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