** Uncertainty in Reservoir Evaluation (URE) **

## Publications related to the URE activity

### 2018

- Fjeldstad, T. and Grana, D. (2018). Joint probabilistic petrophysics-seismic inversion based on Gaussian mixture and Markov chain prior models. Geophysics,
**83**, R31-R42

### 2017

- Skauvold, J. and Eidsvik, J. (2017). Data assimilation for a geological process model using the ensemble Kalman filter, Basin Research. To appear.
- Grana, D., Fjelstad, T. and Omre, H. (2017). Bayesian Gaussian mixture linear inversion for geophysical inverse problems, Mathematical Geosciences,
**49**, 493-515. - Arnesen, P. and Tjelmeland, H. (2017). Prior specification of neighbourhood and interaction structure in binary Markov random fields, Statistics and Computing,
**27**, 737-756. - Austad, H.M. and Tjelmeland, H. (2017). Approximate computations for binary Markov random fields and their use in Bayesian models, Statistics and Computing,
**27**, 1271-1292.

### 2016

- Asfaw, Z.G. and Omre, H. (2016). Localized/Shrinkage kriging predictors, Mathematical Geosciences,
**48**, 595-618. - Skauvold, J., Eidsvik, J. and Theune, U. (2016). A parametric model for seismic wavelets - with estimation and uncertainty quantification, Geophysical Journal International,
**205**, 796-809. - Rezaie, J. and Eidsvik, J. (2016). A skewed unscented Kalman filter, International journal of control,
**89**, 2572-2583.

### 2015

- Lindberg, D. and Lee, H.K.H (2015). Optimization Under Constraints by Applying an Asymmetric Entropy Measure, Journal of Computational and Graphical Statistics,
**24**, 379-393. - Lindberg, D.V. and Omre, H. (2015). Inference of the transition matrix in convolved hidden Markov models by a generalized Baum-Welch algorithm, IEEE Transactions on Geoscience and Remote Sensing,
**53**, 6443-6456. - Lindberg, D.V. and Grana, D. (2015). Petro-elastic log-facies classification using the expectation-maximization method and hidden Markov models, Mathematical Geosciences,
**47**, 719-752. - Arnesen, P. and Tjelmeland, H. (2015). Fully Bayesian binary Markov random field models: Prior specification and posterior simulation, Scandinavian Journal of Statistics,
**42**, 967-987.

### 2014

- Lindberg, D.V. and Omre, H. (2014). Blind categorical deconvolution in two-level hidden Markov models, IEEE Transactions on Geoscience and Remote Sensing,
**52**, 7435-7447. - Rezaie, J. and Eidsvik, J. (2014). Kalman filter variants in the closed skew-Normal setting, Computational Statistics and Data Analysis,
**75**, 1-14. - Aune, E., Simpson, D.P. and Eidsvik, J. (2014). Parameter estimation in high dimensional Gaussian distributions, Statistics and Computing,
**24**, 247-263. - Rezaie, J., Eidsvik, J. and Mukerji, T. (2014). Value of information analysis and Bayesian inversion for closed skew-Normal distributions: applications to seismic amplitude versus offset data, Geophysics,
**79**, R151-R163.

### 2013

- Sætrom, J. and Omre, H. (2013). Uncertainty quantification in the ensemble Kalman filter, Scandinavian Journal of Statistics,
**40**, 868-885. - Fournier, A., Mosegaard, K., Omre, H., Sambridge, M. and Tenorio, L. (2013). Assessing uncertainty in geophysical problems - Introduction, Geophysics,
**78**, WB1-WB2. - Rimstad, K. and Omre, H. (2013). Approximate posterior distributions for convolutional two-level hidden Markov models,Computational statistics and Data analysis,
**58**, 187-200. - Toftaker, H., and Tjelmeland, H. (2013). Construction of binary multi-grid Markov random field prior models from training images, Mathematical Geosciences,
**45**, 389-409. - Aune, E., Eidsvik, J., and Pokern, Y. (2013). Iterative numerical methods for sampling from high dimensional Gaussian distributions, Statistics and Computing,
**23**, 501-521. - Aune, E., Eidsvik, J., and Ursin, B. (2013). Three dimensional non-stationary and non-linear AVA inversion, Geophysical Journal International,
**194**, 787-803.

### 2012

- Rezaie, J. and Eidsvik, J. (2012). Shrinked (1 − α) ensemble Kalman filter and α Gaussian mixture filter, Mathematical Geosciences.
**16**, 837-852. - Rimstad, K., Avseth, P. and Omre, H. (2012). Hierarchical Bayesian lithology/fluid prediction: A North Sea case study, Geophysics,
**77**, B69-B85. - Tjelmeland, H, and Austad, H, (2011). Exact and approximate inference for Markov random fields, Journal of Computational and Graphical Statistics,
**21**, 758-780. - Sætrom, J., Hove, J., Skjervheim, J.-A. and Vabø, J.G. (2012). Improved uncertainty quantification in the ensemble Kalman filter using statistical model-selection techniques, SPE Journal,
**17**, 152-162.

*Illustration of the negative effect of model overfitting. The figure shows the scaled residual sum of squares between the ensemble members and the reference solution for various ensemble Kalman filter algorithms. For more information, see “Sætrom, J. and Omre, H. (2011), Ensemble Kalman filtering for non-linear likelihood models using kernel-shrinkage regression techniques, Computational Geosciences, 15, 529-544”.*

### 2011

- Gjerde, T., Eidsvik, J., Nyrnes, E., and Bruun, B. (2011). Positioning and position error of petroleum wells, Journal of Geodetic Sciences,
**1**, 158-169. - Hammer, H. and Tjelmeland H. (2011). Approximate forward–backward algorithm for a switching linear Gaussian model, Computational Statistics and Data Analysis,
**55**, 154-167. - Martinelli, G., Eidsvik, J., Hauge, R., and Forland, M.D. (2011). Bayesian networks for prospect analysis in the North Sea, AAPG Bulletin,
**95**, 1423-1442. - Sætrom, J. and Omre, H. (2011). Ensemble Kalman filtering for non-linear likelihood models using kernel-shrinkage regression techniques, Computational Geosciences,
**15**, 529-544. - Sætrom, J. and Omre, H. (2011). Ensemble Kalman filtering with shrinkage regression techniques, Computational Geosciences|Computational Geosciences,
**15**, 271-292.