Evaluation of Gaussian approximations for data assimilation in reservoir models

@article{Iglesias2013EvaluationOG,
  title={Evaluation of Gaussian approximations for data assimilation in reservoir models},
  author={Marco A. Iglesias and Kody J. H. Law and Andrew M. Stuart},
  journal={Computational Geosciences},
  year={2013},
  volume={17},
  pages={851-885}
}
The Bayesian framework is the standard approach for data assimilation in reservoir modeling. This framework involves characterizing the posterior distribution of geological parameters in terms of a given prior distribution and data from the reservoir dynamics, together with a forward model connecting the space of geological parameters to the data space. Since the posterior distribution quantifies the uncertainty in the geologic parameters of the reservoir, the characterization of the posterior… 

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