** Uncertainty in Reservoir Evaluation (URE) **

## Submitted papers and extended abstracts related to the URE activity

### 2018

- Gineste, M., Zheng, Y., Eidsvik, J (2018). Velocity estimation in layered media using ensembled-based sequential filtering. 80th EAGE Conference & Exhibition 2018, Copenhagen.

### 2017

- Fjeldstad, T. and Omre, H. (2017). Bayesian inversion of convolved hidden Markov models with applications in reservoir prediction. Submitted
- Fjeldstad, T. and Avseth, P. (2017). Joint Seismic and Petrophysical Inversion Constrained by Facies in a Bayesian Framework. 79th EAGE Conference & Exhibition 2017; 2017-06-12 - 2017-06-15.
- Fjeldstad, T. and Avseth, P. (2017). Probabilistic inversion with a facies dependent rock physics model. 4th International Workshop on Rock Physics; 2017-05-29 - 2017-06-02.
- Fjeldstad, T. and Omre, H. (2017). Bayesian inversion based on Gaussian mixture prior models with applications in reservoir characterisation. Spatial Statistics 2017: One World: One Health; 2017-07-04 - 2017-07-07.
- Gineste, M., Eidsvik, J (2017). Seismic Waveform Inversion Using The Ensemble Kalman Smoother. 79th EAGE Conference & Exhibition 2017, Paris.
- Paglia, J., Eidsvik, J., Grøver A. and Lothe A. (2018). Statistical modeling for online pore pressure prediction from pre-drill analysis and well logs. Submitted.
- Luo, X. and Tjelmeland, H. (2017). Prior specification for binary Markov mesh models. Submitted.

### 2016

### 2015

- Amaliksen, I. and Omre, H. (2015). Bayesian inversion of time-lapse seismic data using bimodal prior models. EAGE Petroleum Geostatistics 2015, Biarritz, France.
- Eidsvik, J., Mukerji, T., Bhattacharjya, D. and Dutta, G. (2015). Value of information analysis of geophysical data for drilling decisions. EAGE Petroleum Geostatistics 2015, Biarritz, France.
- Fjeldstad, T. and Omre, H. (2015). Convolved hidden Markov models for well-log inversion. EAGE Petroleum Geostatistics 2015, Biarritz, France.
- Gineste, M. and Eidsvik, J. (2015). Framework for seismic inversion of full waveform data using sequential filtering. EAGE Petroleum Geostatistics 2015, Biarritz, France.
- Grana, D., Fjeldstad, T. and Omre, H. (2015). Bayesian Gaussian mixture linear inversion in geophysical inverse problems. EAGE Petroleum Geostatistics 2015, Biarritz, France.
- Luo, X. and Tjelmeland, H. (2015). A flexible Markov mesh model for facies modelling. EAGE Petroleum Geostatistics 2015, Biarritz, France.
- Rimstad, K. and Omre, H. (2015). Bayesian generalized Gaussian inversion of seismic data. EAGE Petroleum Geostatistics 2015, Biarritz, France.
- Arnesen, P. and Tjelmeland, H. (2015). Prior specification of neighbourhood and interaction structure in binary Markov random fields. Submitted.
- Austad, H.M. and Tjelmeland, H. (2015). Approximations and bounds for binary Markov random fields. Submitted.

### 2014

- Asfaw, Z.G. and Omre, H. (2014). Localized/shrinkage kriging predictors. Submitted.
- Lindberg, D.V. and Grana, D. (2014). Petro-elastic log-facies classification using the expectation-maximization method and hidden Markov models. Submitted.
- Lindberg, D.V. and Omre, H. (2014). Inference of the transition matrix in convolved hidden Markov models by a generalized Baum-Welch algorithm. Submitted.
- Lindberg, D. and Lee, H.K.H. (2014). Optimization under constraints by applying an asymmetric entropy measure. Submitted.
- Lindberg, D.V. and Omre, H. (2014). Blind categorical deconvolution in two-level hidden Markov models. Submitted.
- Lindberg, D.V., Rimstad, E. and Omre, H. (2014). Inversion of well logs into facies accounting for spatial dependencies and convolution effects. Submitted.

### 2013

- Arnesen, P. and Tjelmeland, H. (2013). Fully Bayesian binary Markov random field models: Prior specification and posterior simulation. Submitted.
- Rezaie, J. and Eidsvik, J. (2013). Kalman filter variants in the closed skew normal setting. Submitted.
- Rezaie, J. Eidsvik, J. and Mukerji, T. (2013). Value of information analysis and Bayesian inversion for closed skew-normal distributions: Applications to seismic amplitude versus offset data. Submitted.

### 2012

- Rimstad, K. and Omre, H. (2012). Skew-Gaussian random fields. Submitted.
- Rimstad, K. and Omre, H. (2012). Generalized Gaussian random fields using hidden selection. Submitted.
- Aune, E., Simpson, D. and Eidsvik, J. (2012). Parameter estimation in high dimensional Gaussian distributions. Submitted.
- Sætrom, J. and Omre, H. (2012). Uncertainty quantication in the ensemble Kalman filter. Submitted.
- Rezaie, J., Sætrom, J. and Smørgrav, E. (2012). Reducing the dimensionality of geophysical data in conjunction with seismic history matching. Submitted.
- Toftaker, H. and Tjelmeland, H. (2012). Construction of binary multi-grid Markov random field prior models from training images. Submitted.

### 2011

- Møller, J. and Toftaker, H. (2011). Geometric anisotropic spatial point pattern analysis and Cox processes. Submitted.
- Martinelli, G., Eidsvik, J. and Hauge, R. (2011). Dynamic decision making for graphical models applied to oil exploration. Submitted.
- Rezaie, J. and Eidsvik, J. (2011). Value of information of monitor surveys. 73st EAGE Conference & Exhibition - Vienna, Austria.
- Aune, E. and Simpson, D.P. (2011). Parameter estimation in high dimensional Gaussian distributions. ISI Dublin, Ireland.
- Avseth, P. and Rimstad, K. (2011). Petro-elastic and lithology-fluid inversion from seismic data – state-of-the-art and new opportunities. 73st EAGE Conference & Exhibition - Vienna, Austria.
- Rezaie, J. and Eidsvik, J. (2011). Shrinked (1-alpha) ensemble Kalman filter and alpha particle filter. Submitted.
- Martinelli, G., Eidsvik, J. and Hauge, R. (2011). The value of sequential prospect selection. IAMG Salzburg.
- Aune, E., Eidsvik, J. and Pokern, Y. (2011). Iterative numerical methods for sampling from high dimensional Gaussian distributions. Submitted.
- Rimstad, K., Avseth, P.A. and Omre, H. (2011). Hierarchical Bayesian lithology/fluid prediction: A North Sea case study. Submitted.

### 2010

- Rabben, T. and Ursin, B. (2010). AVA inversion of the top Utsira Sand reflection at the Sleipner field. Submitted.
- Sætrom, J. and Omre, H. (2010). Ensemble Kalman filtering with shrinkage regression techniques. Submitted.
- Tjelmeland, H. and Austad, H.M. (2010). Exact and approximate recursive calculations for binary Markov random fields defined on graphs. Submitted.

### 2009

- Myrseth, I., Sætrom, J. and Omre, H. (2009). Resampling the ensemble Kalman filter. Submitted.
- Rimstad, K. and Omre, H. (2009). Impact of rock physics depth trends and Markov random fields on hierarchical Bayesian lithology/fluid prediction. Submitted.
- Gjerde, T., Eidsvik, J., Nyrnes, E. and Bruun, B.T. (2009). Normal inverse Gaussian error distributions applied for the positioning of petroleum wells. Submitted.
- Ulvmoen, M. and Hammer, H. (2009). Bayesian lithology–fluid inversion - algorithm efficiency. Submitted.
- Theune, U., Jensås, I.Ø. and Eidsvik, J. (2009). Analysis of a prior model for a blocky inversion of seismic amplitude versus offset data . Submitted.
- Ulvmoen, M. and Omre, H. (2009). Improved resolution in Bayesian lithology/fluid inversion from prestack seismic data and well observations: Part II - Real case study . Submitted.
- Ulvmoen, M. and Omre, H. (2009). Improved resolution in Bayesian lithology/fluid inversion from prestack seismic data and well observations: Part I - Methodology. Submitted.
- Karimi, O., Omre, H. and Mohammadzadeh, M. (2009). Bayesian closed-skew Gaussian inversion of seismic AVO data into elastic material properties. Submitted.
- Hosseini, F., Eidsvik, J. and Mohammadzadeh, M. (2009). Approximate Bayesian inference in spatial GLMM with skew normal latent variables. Submitted.
- Karimi, O., Omre, H. and Mohammadzadeh, M (2009). Bayesian closed skew Gaussian inversion of seismic AVO data into elastic material properties. Submitted.
- Myrseth, I. and Omre, H. (2009) Reliable uncertainty assessment in history matching production and time-lapse seismic data. Abstract for EAGE Amsterdam.
- Myrseth, I. (2009). Robust ensemble Kalman filter for high dimensional data. Submitted.
- Ulvmoen, M., Omre, H. and Buland, A. (2009). Spatially coupled lithology/fluid inversion from real seismic data and well observations. Abstract for EAGE Amsterdam.
- Rimstad, K. and Omre, H. (2009). Bayesian lithology/fluid inversion constrained by rock physics depth trends and a Markov random field. Abstract for EAGE Amsterdam.

### 2008

- Hammer, H. and Tjelmeland, H. (2008). Approximate forward-backward algorithm for a switching linear Gaussian model – with application to seismic inversion. Submitted.
- Myrseth, I. and Omre, H. (2008). The ensemble Kalman filter and related filters. Submitted.
- Rimstad, K. and Omre, H. (2008). Joint porosity depth trend estimation and lithology/fluid classification by Bayesian inversion. Extended abstract for Geophysics conference Galway, Ireland.
- Myrseth,I. (2008). Robust ensemble Kalman filter for high-dimensional data. Geostats 2008, Santiago, Chile.
- Hammer, H. and Ulvmoen, M. (2008). Empirical comparison of two Bayesian lithology–fluid prediction algorithms. Submitted.
- Ulvmoen M. (2008). Lithology-fluid inversion from prestack seismic data. Geostats 2008, Santiago, Chile.
- Sætrom, J. (2008). Scale-corrected ensemble Kalman filter for observations of production and time-lapse data. Geostats 2008, Santiago, Chile.
- Stenerud, V.R., Kippe, V., Lie, K.-A. and Datta-Gupta, A. (2008). Adaptive multiscale streamline simulation and inversion for high-resolution geomodels. Submitted.
- Lødøen, O.P. and Omre,H. (2008). Scale-corrected ensemble Kalman filtering applied to production history conditioning in reservoir evaluation. Submitted.

### 2007

- Stenerud, V.R., Lie, K.-A. and Kippe, V. (2007). Generalized travel-time inversion on unstructured grids. Submitted.
- Ulvmoen, M. (2007). Lithology-fluid inversion based on prestack seismic data. Extended abstract for Petroleum Geostatistics 2007 Conference, Cascais, Portugal.
- Lødøen, O.P. and Tjelmeland, H. (2007). Bayesian calibration of reservoir models using a coarse-scale reservoir simulator in the prior specification. Extended abstract for Petroleum Geostatistics 2007 Conference, Cascais, Portugal.
- Hammer, H. and Tjelmeland, H. (2007). Lithology/fluid prediction by simulating from the posterior of a Markov chain prior Bayesian model. Extended abstract for Petroleum Geostatistics 2007 Conference, Cascais, Portugal.
- Eidsvik, J., Bhattacharjya, D. and Mukerji, T. (2007). The value of seismic amplitude information. Extended abstract for Petroleum Geostatistics 2007 Conference, Cascais, Portugal.
- Myrseth, I.B. (2007). The ensemble Kalman filter adapted for time-lapse seismic data. Extended abstract for Petroleum Geostatistics 2007 Conference, Cascais, Portugal.
- Rabben, T.E., Tjelmeland, H. and Ursin, B. (2007). Nonlinear Bayesian joint inversion of seismic reflection coefficients. Extended abstract for Petroleum Geostatistics 2007 Conference, Cascais, Portugal.
- Rabben, T.E. and Ursin, B. (2007). Nonlinear least squares inversion of reflection coefficients using Bayesian regularization. Submitted.
- Rabben, T.E., Tjelmeland, H. and Ursin, B. (2007). Nonlinear Bayesian joint inversion of seismic reflection coefficients. Submitted.

### 2006

- Stenerud, V.R. and Lie, K.-A. (2006). A multiscale streamline method for inversion of production data. Submitted.
- Røislien, J. and Omre,H. (2006). T-distributed random fields: A parametric model for heavy-tailed well-log data. Submitted.
- Larsen, A.L., Ulvmoen, M., Omre, H. and Buland, A. (2006). Bayesian lithology-fluid prediction and simulation on the basis of a Markov-chain prior model. Submitted.
- Eidsvik, J. and Hokstad, K. (2006). Positioning drill-bit and look-ahead events using seismic traveltime data. Submitted.
- Eidsvik, J. and Tjelmeland, H. (2006). On directional Metropolis—Hastings algorithms. Submitted.

### 2005

- Lødøen, O.P. and Tjelmeland, H. (2005). Bayesian calibration of hydrocarbon reservoir models using an approximate reservoir simulator in the prior specification. Submitted.
- Kolbjørnsen, O. and Omre, H. (2005). Bayesian inversion of piecewise affine operators in a Gaussian framework. Submitted.
- Foss, S.K., de Hoop, M.V. and Ursin, B. (2005). Linearized 2.5-D parameter imaging-inversion in anisotropic elastic media. Submitted.
- Ursin, B., de Hoop, M.V., Foss, S.K. and Brandsberg-Dahl, S. (2005). Seismic angle tomography. Submitted.
- Ursin, B., de Hoop, M.V., Brandsberg-Dahl, S. and Sollid, A. (2005). Seismic angle migration. Submitted.
- Foss, S.K., Ursin, B. and de Hoop, M.V. (2005). Depth consistent reflection tomography using PP and PS seismic data. Submitted.

### 2004

- Ursin, B. (2004). Parameter inversion and angle migration in anisotropic elastic media. Submitted.
- Talukdar, M.S., Torsæter, O. and Howard, J.J (2004). Stochastic reconstruction of chalk samples containing vuggy porosity using a conditional simulated annealing technique. Submitted.
- Lødøen, O.P., Omre, H., Durlofsky, L.J. and Chen, Y. (2004). Assessment of Uncertainty in Reservoir Production Forecasts using Upscaled Flow Models. Geostat 2004, Banff, Canada.
- Tjelmeland, H. and Eidsvik, J. (2004). Directional Metropolis-Hastings updates for posteriors with nonlinear likelihoods. Geostat 2004, Banff, Canada.
- Røislien, J. and King, P. (2004). Prediction of oil production conditioned on the breakthrough time. Submitted.
- Omre, H. and Lødøen, O.P. (2004). Improved production forecasts and history matching using approximate fluid flow simulators. Submitted.
- Eidsvik, J., Avseth, P., Omre, H., Mukerji, T. and Mavko, G. (2004). Stochastic reservoir characterization using pre-stack seismic data. Submitted.
- Eidsvik, J., Mukerji, T. and Switzer, P. (2004). Estimation of geological attributes from well logs: an application of hidden Markov chains. Submitted.
- Tjelmeland, H. and Eidsvik, J. (2004). On the use of local optimizations within Metropolis-Hastings updates. Submitted.
- Foss, S.K. and Ursin, B. (2004). 2.5D modelling, inversion and angle migration in anisotropic elastic media. Submitted.
- Stovas, A. and Ursin, B. (2004). New traveltime approximations for a transversely isotropic medium. Submitted.

### 2003

- Foss, S.K., Ursin, B. and Sollid, A. (2003). A practical approach to PP seismic angle tomography. Submitted.
- Eidsvik, J. and Tjelmeland, H. (2003). On directional Metropolis-Hastings algorithms. Submitted.
- Theting, T.G. (2003). Solving parabolic wick-stochastic boundary value problems using a finite element method. Submitted.
- Buland, A., Kolbjørnsen, O. and Omre, H. (2003). Rapid spatially coupled AVO inversion. 73rd SEG International Exposition and Annual Meeting; Dallas, Texas, USA.
- Holden, H., Karlsen, K.H. and Risebro; N.H. (2003). On uniqueness and existence of entropy solutions of weakly coupled systems of nonlinear degenerate parabolic equations. Submitted.
- Sollid, A. and Ursin, B. (2003). Scattering-angle migration of ocean-bottom seismic data in weakly anisotropic media. Submitted.
- Stovas, A. and Ursin, B. (2003). Reflection and transmission responses of layered transversely isotropic viscoelastic media. Submitted.
- Brandsberg-Dahl, S., Ursin, B. and de Hoop, M.V. (2003). Seismic velocity analysis in the scattering-angle/azimuth domain. Submitted.
- Buland, A. and Omre, H. (2003). Bayesian wavelet estimation from seismic and well data. Submitted.
- Buland, A. and Omre, H. (2003). Joint AVO inversion, wavelet estimation, and noise level estimation using a spatially coupled hierachical model. Submitted.
- Buland, A., Kolbjørnsen, O. and Omre, H. (2003). Rapid spatially coupled AVO inversion in the Fourier domain. Submitted.
- Buland, A. and Omre, H. (2003). Bayesian seismic inversion and estimation in a spatial setting. Extended abstract, 65th EAGE Conference and Exhibition, Stavanger, Norway.
- Buland, A. and Omre, H. (2003). Bayesian linerized AVO Inversion. Submitted.
- Brandsberg-Dahl, S,, de Hoop, M.V. and Ursin, B. (2003). Focusing in dip and AVA compensation on scattering angle/azimuth common image gathers. Submitted.
- Stovas, A., Landrø, M., Torsæter, O., Jensen, J.I. and Kleppe, J. (2003). An integrated study of reservoir fluid flow across faults by laboratory experiments, 4D seismics and reservoir simulation. Extended abstract, 65th EAGE Conference and Exhibition, Stavanger, Norway.
- Manouzi, H. and Theting, T.G. (2003). Mixed finite element approximation for the stochastic pressure equation of wick-type. Submitted.
- Switzer, P., Mukerji, T. and Eidsvik, J. (2003). Hidden Markov models for stratigraphic sequences with application to well log data. Extended abstract, ISI Meeting; Berlin, Germany.

### 2002

- Eidsvik, J., Omre, H., Mukerji, T., Mavko, G. and Avseth, P. (2002). Stochastic reservoir predictionusing Bayesian integration of rock physics relations and Markov random fields. Submitted.
- Eidsvik, J., Mukerji, T. and Switzer, P. (2002). Modelling lithofacies alternations from well logs using hierarchical Markov chains. Extended abstract, SEG Annual Meeting; Salt Lake City, Utah, USA.
- Eide, A.L., Omre, H. and Ursin, B. (2002). Prediction of reservoir variables based on seismic data and well observations. Submitted.
- Borgos, H.G., Omre, H. and Townsend, C. (2002). Size distribution of geological faults: Model choice and parameter estimation. Submitted.
- Omre, H. (2002). Stochastic reservoir models conditioned to non-linear production history observations. Geostatistics 2000 Cape Town, South-Africa.
- Borgos, H.G. and Omre; H. (2002). Uncertainty in fault geometries. Geostatistics 2000 Cape Town, South-Africa.
- Ettrich, N., Sollid, A. and Ursin, B. (2002). Out-of-plane geometrical spreading in anisotropic media. Submitted.
- Ursin, B. and Stovas, A. (2002). Reflection and transmission responses of a layered isotropic visco-elastic medium. Submitted.
- Benth, F.E. and Theting, T.G. (2002). Some regularity results for the stochastic pressure equation of Wick-type. Submitted.
- Theting, T.G. (2002). Numerical solution of wick-stochastic partial differential equations. Submitted.
- Talukdar, M.S. and Torsæter, O. (2002) Reconstruction of chalk pore networks from 2D back scatter electron micrographs using a simulated annealing technique. Submitted.
- Talukdar, M.S., Torsæter, O., Ioannidis, M.A. and Howard, J.J. (2002). Sochastic reconstruction of chalk from 2D images. Submitted.
- Talukdar, M.S., Torsæter, O., Ioannis, M.A. and Howard, J.J. (2002). Stochastic reconstruction, 3D characterization and network modelling of chalk. Submitted.

### 2001

- Hegstad, B.K. and Omre, H. (2001). Uncertainty in production forecasts based on well observations, seismic data and production history. Submitted.
- Buland, A. and Omre, H. (2001). Bayesian wavelet estimation from seismic and well log data. Extended abstract from EAGE 63rd Conference and Technical Exhibition; Amsterdam, The Netherlands.
- Stovas, A. and Ursin, B. (2001). Second order approximations of the reflection and transmission coefficients between two visco-elastic isotropic media. Submitted.
- Helle, H.B., Bhatt, A. and Ursin, B. (2001). Porosity and permeability prediction from wireline logs using artificial neural networks. A North Sea case study. Submitted.
- Schleicher, J., Tygel, M., Ursin, B. and Bleistein, N. (2001). The Kirchhoff-Helmholtz integral for anisotropic elastic media. Submitted.
- Toverud, T., Dimri, V.P. and Ursin, B. (2001). Comparison of deconvolution methods for scaling reflectivity. Submitted.

### 2000

- Theting, T.G. (2000). Solving Wick-stochastic boundary value problems using a finite element method. Submitted.
- Holden, H. and Øksendal, B. (2000). A white noice approach to stochastic Neumannboundary value problems. Submitted.
- Holden, H., Karlsen, H.K. and Lie, K.A. (2000). Operator splitting methods for degenerate convection-diffusion equations II: Numerical examples with emphasis on reservoir simulation and sedimentation. Submitted.
- Talukdar, S., Banu, H., Torsæter, O. and Kleppe, J. (2000). Applicability and rate sensitivity of several upscaling techniques in fractured reservoir simulations. 2000 SPE International Petroleum Conference and Exhibition; Villahermosa, Mexico.
- Jelmert, T.A., Selseng, H. and Torsæter, O. (2000). Average permeability functions of cores with stress-sensitivity. Submitted.
- Causse, E. and Ursin, B. (2000). Viscoacoustic reverse-time migration. Submitted.
- Ursin, B. and Porsani, M.J. (2000). Estimation of an optimal mixed-phase inverse filter. Submitted.
- Porsani, M.J. and Ursin, B. (2000). Mixed-phase deconvolution and wavelet estimation. Submitted.

### 1999

- Tweheyo, M.T., Holt, T. and Torsæter, O. (1999). An experimental study of the relationship between wettability and oil production characteristics. Submitted.
- Lu, G., Ursin, B. and Lutro, J. (1999). Model-based removal of water-layer multiple reflections. Submitted.
- Causse, E. and Ursin, B. (1999). Asymptotic error analysis of constant velocity viscoacoustic migration. Submitted.
- Ekren, B.O. and Ursin, B. (1999). True-amplitude frequency-wave-number constant-offset migration. Submitted.
- Tygel, M. and Ursin, B. (1999). Weak-contrast edge and vertex diffractions in anisotropic elastic media. Submitted.
- Causse, E., Mittet, R. and Ursin, B. (1999). Preconditioned full-waveform inversion in generall viscoacoustic media. Submitted.
- Holden, H. and Øksendal, B. (1999). A white noise approach to stochastic differential equations driven by Wiener and Poisson processes. Submitted.