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When EnKF is applied to reservoir history matching, it is necessary to keep the size of the ensemble small in order to obtain computational efficiency. In this work, we investigate the use of ensemble-based methods, with emphasis on the EnKF, and propose modifications that allow us to obtain a better history match and a more accurate characterization of the uncertainty in reservoir description and reservoir performance predictions. However, because of the inherent assumptions of linearity and Gaussianity and the use of limited ensemble sizes, EnKF does not always provide an acceptable history-match and does not provide an accurate characterization of uncertainty. Moreover, because EnKF generates multiple history-matched models, EnKF can provide a measure of the uncertainty in reservoir performance predictions. The main advantages of EnKF are computational efficiency and easy implementation. Among these methods, the ensemble Kalman filter (EnKF) is the most popular one for history-matching applications. In the last decade, ensemble-based methods have been widely investigated and applied for data assimilation of flow problems associated with atmospheric physics and petroleum reservoir history matching. Results show the implementation fails to sample the posterior distribution but still can be used to obtain classical maximum a posteriori (MAP) estimates without strong assumptions on the data (e.g. Two synthetic case studies are implemented in a time-shared high-performance computer cluster using the MPI parallel execution model to distribute reservoir simulations among various computational nodes. It can be thought as a Markov chain of ensembles and theoretically can deal with any (multimodal) probability distribution. Unlike other successful HUM methods such as Ensemble Kalman Filters (EnKF), the proposed method here called Ensemble MCMC (EnMCMC) does not assume Gaussian priors. Python) that can be easily adapted to their needs to perform probabilistic inversion with tens of thousands of cells as a proof of concept and to develop reproducible case studies for others to benchmark and propose improvements.
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Our aim is to provide other researchers in the field with a software package written in a modern programming language (i.e. It is the direct application of the general framework developed by Albert Tarantola on his textbook entitled "Inverse Problem Theory and Methods for Model Parameter Estimation". In this work, the well-known/ill-posed history matching problem is reviewed under a Bayesian perspective which takes into account every possible source of experimental and theoretical uncertainty.
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Such adjustments have greater value when accompanied by uncertainty diagnostics including statistical bounds, moments, and ideally full characterization of underlying distributions. Unlockableīeat all levels in Playtime Plaza, Sculpture Square, Fortress of Fun and NES Expo.In Petroleum Engineering and other fields, History-based Uncertainty Mitigation (HUM) is the modern generic term used by experts when referring to continuous adjustments of a mathematical model given observations. Have 30 Stretchmo saved to Stretchmo StudioĬomplete all levels in all four starting areas to unlock this secret fifth area. Have 10 Stretchmo saved to Stretchmo Studio (for example, if you get 10 Stretchmo and delete 1, you can still use the larger 2D canvas) Unlockable Deleting Stretchmo after this will not prevent you from using the feature. They don't need to be yours, nor do they need to be by someone else. It does not matter how many you have had overall, but how many you have at the current moment.
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