Inverse problems
Electromagnetism within the geosciences
Flow in porous media
H. K. Hvidevold, G. Alendal, T. Johannessen, T. Mannseth: Assessing model parameter uncertainties for rising velocity of CO2 droplets through experimental design.
A. Kovalenko, T. Mannseth, G. Nævdal: Approximate sampling error distribution for the ensemble Kalman filter.
Publications in press:
S. A. Bakr, T. Mannseth: An approximate hybrid method for electromagnetic scattering from an underground target. IEEE Trans. on Geoscience and Remote Sensing.
Journal publications (since 1995):
A. Kovalenko, T. Mannseth, G. Nævdal: Sampling error distribution for the ensemble Kalman filter update step. Computational Geosciences. 16 (2), 2012.
A. Kovalenko, T. Mannseth, G. Nævdal: Error estimate for the ensemble Kalman filter analysis step. SIAM J. Matrix Analysis and Applications, 32 (4), 2011.
I. Berre, M. Lien, T. Mannseth: Identification of three-dimensional electric conductivity changes from time-lapse electromagnetic observations. J. Comput. Phys. 230 (2011), 3915-3928.
T. Feng, T. Mannseth: Impact of time-lapse seismic data for permeability estimation. Computational Geosciences 14 (2010), 705-719.
I. Berre, M. Lien, T. Mannseth: Multi-level parameter structure identification for two-phase porous-media flow problems using flexible representations. Advances in Water Resources 32 (2009), 1777-1788.
T. Feng, T. Mannseth: Improvements on a predictor-corrector strategy for parameter estimation with several data types. Inverse Problems 25 (10), 2009.
S. A. Bakr, T. Mannseth: Feasibility of simplified integral equation modeling of low-frequency marine CSEM with a resistive target. Geophysics 74 (2009), F107-F117.
T. K. Nilssen, K. H. Karlsen, T. Mannseth, X.-C. Tai: Identification of diffusion parameters in a nonlinear convection-diffusion equation using the augmented Lagrangian method. Computational Geosciences 13 (2009), 317-329.
M. Lien, T. Mannseth: Sensitivity study of marine CSEM data for reservoir production monitoring. Geophysics. 73 (2008), F151-F163.
M. Lien, J. D. Jansen, T. Mannseth, R. Brouwer: Multiscale regularization of dynamic water flood optimization. SPE Journal. 13 (2008), 195-204.
I. Berre, M. Lien, T. Mannseth: A multi-level strategy for regularized parameter identification using nonlinear reparameterization with sample application for reservoir characterization. Journal of Physics, Conference Series 2008; Vol. 135
I. Berre, M. Lien, T. Mannseth: A level set corrector to an adaptive multiscale permeability prediction. Computational Geosciences 11 (2007), 27-42.
T. Mannseth: Analysis and comparison of mixed finite element- and multi point flux approximation methods for homogeneous media. Computational Geosciences 11 (2007), 59-72.
L. K. Nielsen, S. Subbey, M. Christie, T. Mannseth: Reservoir description using dynamic parameterisation selection with a combined stochastic and gradient search. Computational Geosciences 10 (2006), 321-342.
M. Ø. Lien, T. Mannseth: Resolution power of pressure data for permeability identification. Transport in Porous Media 64 (2006), 141-159.
T. Mannseth: Permeability Identification from Pressure Observations: Some Foundations for Multiscale Regularization. Multiscale Model. Simul. 5 (2006), 21-44.
M. Lien, I. Berre, T. Mannseth: Combined adaptive multiscale and level set parameter estimation. Multiscale Model. Simul. 4 (2005), 1349-1372.
H. Kruger, T. Mannseth: Extension of the parameterization choices in adaptive multiscale estimation. Inverse Problems in Science and Engineering 13 (2005), 469-484.
A.-A. Grimstad, T. Mannseth, S. I. Aanonsen, I Aavatsmark, A. Cominelli, S. Mantica: Identification of unknown permeability trends from history matching of production data. SPE Journal 9 (2004), 419-428
H. Kruger, A.-A. Grimstad, T. Mannseth: Adaptive multiscale estimation of a spatially dependent diffusion function within porous media flow. Inverse Problems in Engineering 11 (2003), 341-358
A.-A. Grimstad, T. Mannseth, G. Nævdal, H. Urkedal: Adaptive multiscale permeability estimation. Computational Geosciences 7 (2003), 1-25
T. K. Nilssen, T. Mannseth, X.-C. Tai: Permeability estimation with the augmented Lagrangian method for a nonlinear diffusion equation. Computational Geosciences 7 (2003), 27-47
A.-A. Grimstad, K. Kolltveit, T. Mannseth, J.-E. Nordtvedt: Assessing the validity of a linearized accuracy measure for a nonlinear parameter estimation problem. Inverse Problems 17 (2001), 1373-1390
G. Nævdal, E.H. Vefring, A.M. Berg, T. Mannseth, J.-E. Nordtvedt: A New Methodology for the Optimization of the Placement of Downhole Production-Monitoring Sensors. SPE Journal 6 (2001), 108-116
G. Nævdal, T. Mannseth, K Brusdal, J.-E. Nordtvedt: Multi-scale estimation with spline-wavelets, with application to two-phase porous-media flow. Inverse Problems 16 (2000), 315-332.
K. Brusdal, T. Mannseth: Basis norm rescaling for nonlinear parameter estimation. SIAM J. Sci. Comput. 21 (2000), 2114-2125
A.-A. Grimstad, T. Mannseth: Nonlinearity, scale, and sensitivity for parameter estimation problems. SIAM J. Sci. Comput. 21 (2000), 2096-2113.
K. Brusdal, H. K. Dahle, K. Hvistendahl Karlsen, T. Mannseth: A study of the modeling error in two operator splitting algorithms for porous media flow. Computational Geosciences 2 (1998), 23-36.
I. Aavatsmark, T. Barkve, Ø. Bøe, T. Mannseth: Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Derivation of the methods. SIAM Journal on Scientific Computing 19 (1998), 1700-1716.
I. Aavatsmark, T. Barkve, Ø. Bøe, T. Mannseth: Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Discussion and numerical results. SIAM Journal on Scientific Computing 19 (1998), 1717-1736.
I. Aavatsmark, T. Barkve, T. Mannseth: Control-volume discretization methods for 3D quadrilateral grids in inhomogeneous, anisotropic reservoirs. SPE Journal 3 (1998), 146-154.
I. Aavatsmark, T. Barkve, Ø. Bøe, T. Mannseth: Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media. Journal of Computational Physics 127 (1996), 2-14.
I. Aavatsmark, T. Barkve, Ø. Bøe, T. Mannseth: Discretization on triangular grids for general media. ZAMM 76 (1996).
T. Mannseth: An analysis of the robustness of some incomplete factorizations. SIAM J. Sci. Comput. 16 (1995), 1428-1450.
Publications in conference proceedings (since 1995):
S. A. Bakr, T. Mannseth : Order-of-magnitude analysis of the range of validity of a low-frequency approximation for CSEM, SEG 81st International Exposition and Annual Meeting, (Expanded abstracts), San Antonio, TX, USA, September 18-23, 2011.
I. Berre, M. Lien, T. Mannseth: Robust inversion of controlled source electromagnetic data for production monitoring. SEG 80th International Exposition and Annual Meeting, (Expanded abstracts), Denver, CO, USA, October 2010.
A. Kovalenko, T. Mannseth, G. Nævdal: Error estimate for the ensemble Kalman filter update step. ECMOR XII – 12th European Conference on the Mathematics of Oil Recovery, Oxford, UK, September 2010.
T. Feng, T. Mannseth: Assessing the impact of different types of time-lapse seismic data on permeability estimation. ECMOR XII – 12th European Conference on the Mathematics of Oil Recovery, Oxford, UK, September 2010.
S. A. Bakr, T. Mannseth: Numerical investigation of the range of validity of a low-frequency approximation for CSEM. 72nd EAGE Conference and Exhibition, (Expanded abstracts), Barcelona, Spain, June 2010.
S. A. Bakr, T. Mannseth: Fast 3D modelling of the CSEM response of petroleum reservoirs. SEG 79th International Exposition and Annual Meeting, (Expanded abstracts), Houston, TX, USA, October 2009.
T. Feng, T. Mannseth, S. I. Aanonsen: Randomized maximum likelihood with permeability samples generated by a predictor-corrector technique. SPE 118975, Proc. 2009 SPE Reservoir Simulation Symposium, The Woodlands, TX, February 2009.
A. Fahimuddin, S. I. Aanonsen, T. Mannseth: Effect of large number of measurements on EnKF model updating. ECMOR XI – 11th European Conference on the Mathematics of Oil Recovery, Bergen, Norway, September 2008.
T. Feng, T. Mannseth, S. I. Aanonsen: Generation of permeability samples for uncertainty assessment by a predictor-corrector technique. ECMOR XI – 11th European Conference on the Mathematics of Oil Recovery, Bergen, Norway, September 2008.
M. Lien, T. Mannseth: Controlled source electromagnetic data for production monitoring – a sensitivity study. SEG 77th International Exposition and Annual Meeting, (Expanded abstracts), San Antonio, TX, USA, September 2007.
I. Berre, F. Clement, M. Lien, T. Mannseth: Data driven reparameterization structure for estimation of fluid conductivity. ModelCARE 2007; International Conference on Calibration and Reliability in Groundwater Modelling: Credibility of Modelling, Copenhagen, Denmark, September 2007.
M. Lien, I. Berre, T. Mannseth: Estimation of a piecewise constant function using reparameterized level-set functions. ECMI 14; The 14th European Conference on Mathematics for Industry (Extended abstracts), Madrid, Spain, July 2006.
M. Lien, I. Berre, T. Mannseth: Combined adaptive multiscale and level set parameter estimation. 3rd International Conference: Inverse Problems; Modeling and Simulation (Extended abstracts), Fethiye, Turkey, May/June 2006.
M. Lien, D. R. Brouwer, T. Mannseth, J. D. Jansen: Multiscale regularization of flooding optimization for smart field management. SPE Intelligent Energy Conference and Exhibition, Amsterdam, The Netherlands, April 2006.
A.-A. Grimstad, T. Mannseth: Comparison of methods for downscaling of coarse scale permeability estimates. ECMOR IX – 9th European Conference on the Mathematics of Oil Recovery, Cannes, France, August/September 2004.
A.-A. Grimstad, T. Mannseth: Adaptive multiscale permeability estimation. 1st International Conference: Inverse Problems; Modeling and Simulation" (Extended abstracts), Fethiye, Turkey, July 2002.
A.-A. Grimstad, T. Mannseth, S. I. Aanonsen, I Aavatsmark, A. Cominelli, S. Mantica: Identification of unknown permeability trends from history matching of production data. SPE-77485. SPE 2002 Annual Technical Conference and Exhibition, San Antonio, TX, USA, September/October 2002.
A.-A. Grimstad, H. Kruger, T. Mannseth, G. Nævdal, H. Urkedal: Adaptive selection of parameterization for reservoir history matching. ECMOR VIII – 8th European Conference on Mathematics of Oil Recovery, Freiberg, Germany, September 2002.
G. Nævdal, T. Mannseth, E. H. Vefring: Instrumented wells and near-well reservoir monitoring through ensemble Kalman filter. ECMOR VIII – 8th European Conference on Mathematics of Oil Recovery, Freiberg, Germany, September 2002.
H. Kruger, A.-A. Grimstad, T. Mannseth: Adaptive multiscale estimation of a spatially dependent diffusion function within porous media flow. 4th International Conference on Inverse Problems in Engineering: Theory and Practice, Angra dos Reis, Brazil, May 2002.
G. Nævdal, T. Mannseth, E. H. Vefring: Near-well reservoir monitoring through ensemble Kalman filter. SPE/DOE Thirteenth Symposium on Improved Oil Recovery, Tulsa, OK, USA, April 2002.
G. Nævdal, E.H. Vefring, A.M. Berg, T. Mannseth, J.-E. Nordtvedt: A New Methodology for the Optimization of the Placement of Downhole Production-Monitoring Sensors. SPE-59301. SPE/DOE Improved Oil Recovery Symposium, Tulsa, OK, USA, April 2000.
A.-A. Grimstad, T. Mannseth, G. Nævdal, H. Urkedal: Scale splitting approach to reservoir characterization. SPE-66394. SPE Reservoir Simulation Symposium, eds. L. Durlofsky et. al., Houston, TX, USA, February 2001.
T. Mannseth, J.E. Nordtvedt, G. Nævdal: Optimal management of advanced wells through fast updates of the near-well reservoir model. ECMOR VII – 7th European Conference on the Mathematics of Oil Recovery, Baveno, Italy, September 2000.
T. Mannseth, J. Mykkeltveit, H.A. Friis, M. Haveraaen: Discretization on non-matching skewed quadrilaterals in anisotropic and heterogeneous porous media. ECMOR VII – 7th European Conference on the Mathematics of Oil Recovery, Baveno, Italy, September 2000.
A.-A. Grimstad, T. Mannseth, J.E. Nordtvedt, G. Nævdal: Reservoir characterization through scale splitting. ECMOR VII – 7th European Conference on the Mathematics of Oil Recovery, Baveno, Italy, September 2000.
A.-A. Grimstad, T. Mannseth, J.E. Nordtvedt, G. Nævdal: Scale splitting can reduce cost and complexity of reservoir characterization. 62nd EAGE Conference & Technical Exhibition (extended abstracts), Glasgow, Scotland, May 2000.
J.-E. Nordtvedt, G. Nævdal, H. Urkedal, A. Berg, T. Mannseth, E. H. Vefring: Experimental design: Importance in petroleum engineering. 3rd International Conference on Inverse Problems in Engineering: Theory and Practice, Port Ludlow, WA, USA, June 1999.
T. Mannseth, A.-A. Grimstad, K. Kolltveit, J.-E. Nordtvedt: Nonlinearity, scale, and sensitivity for parameter estimation problems: Some implications for error analysis. 3rd International Conference on Inverse Problems in Engineering: Theory and Practice, WA, USA, June 1999.
T. Mannseth, K. Brusdal, A.-A. Grimstad, J.-E. Nordtvedt, G. Nævdal: Nonlinearity, scale, and sensitivity for parameter estimation problems: Some implications for estimation algorithms. 3rd International Conference on Inverse Problems in Engineering: Theory and Practice, Port Ludlow, WA, USA, June 1999.
T. Mannseth: Prediction uncertainty assessment through scale splitting. EAGE/SPE International Symposium on Petroleum Geostatistics (extended abstracts), Toulouse, France, April 1999.
Mannseth, T., Mykkeltveit J., Nordtvedt J. E., Sylte, A.: Effects of rock heterogeneities on capillary pressure and relative permeabilities. SPE EUROPEC-98, the Hague, the Netherlands, 1998.
Sylte, A., Mannseth, T., Mykkeltveit J., Nordtvedt J. E.: Relative permeability and capillary pressure: Effects of rock heterogeneity. Society of Core Analysts 1998 International Symposium, Montpellier, France, 1998.
I. Aavatsmark, T. Barkve, T. Mannseth: Control-volume discretization methods for 3D quadrilateral grids in inhomogeneous, anisotropic reservoirs. SPE-38000. SPE Reservoir Simulation Symposium, eds. L. K. Thomas et. al., Dallas, TX, USA, June 1997.
Grimstad, A. A., Kolltveit, K., Nordtvedt J. E., Watson, A. T., Mannseth, T., Sylte, A.: The uniqueness and accuracy of porous media multiphase properties estimated from displacement experiments. Society of Core Analysts 1997 International Symposium, Calgary, Canada, 1997.
I. Aavatsmark, T. Barkve, Ø. Bøe, T. Mannseth: A class of discretization methods for structured and unstructured grids in anisotropic, inhomogeneous media. ECMOR V - 5th European Conference on the Mathematics of Oil Recovery, eds. Z. E. Heinemann and M. Kriebernegg, Leoben, Austria, September 1996.
I. Aavatsmark, T. Barkve, Ø. Bøe, T. Mannseth: Discretization on general grids for general media. 9th Conference of the European Consortium for Mathematics in Industry, Copenhagen, Denmark, 1996.
SEG - Society of Exploration Geophysicists.
SIAM - Society for Industrial and Applied Mathematics.
1999 - 2008; SPE Journal.
2009 - ; Computational Geosciences.
Kristian Fossum. Dept. Of Mathematics. 2011 -
Svenn Tveit. Dept. Of Mathematics. 2011 -
Andrey Kovalenko. Dept. of Mathematics. Thesis: Assessment of the ensemble Kalman filter sampling error. Graduated 2012.
Shaaban Bakr. Dept. of Mathematics. Thesis: An approximate hybrid method for modeling of electromagnetic scattering from an underground target. Graduated 2010.
Inga Berre. Dept. of Mathematics. Thesis: Fast simulation of transport and adaptive permeability estimation in porous media. Graduated 2005.
Martha Økland Lien. Dept. of Mathematics. Thesis: Adaptive methods for permeability estimation and smart well management. Graduated 2005.
Harald Kruger. Dept. of Physics and Technology. Thesis: Estimating the permeability using adaptive multiscale estimation. Graduated 2004.
Trygve Kastberg Nilssen. Dept. of Mathematics. Thesis: Parameter estimation with the augmented Lagrangian method and a study of some fourth order problems. Graduated 2002.
Alv-Arne Grimstad. Dept. of Physics and Technology. Thesis: On nonlinearities and covariance analysis for the reservoir fluid flow model. Graduated 1999.
Kari Brusdal. Dept. of Mathematics. Thesis: Operator splitting techniques and nonlinear parameter estimation for flow in porous media. Graduated 1999.