Mitrovic, D., J. M. Nordbotten, H. Kalisch, Dynamics of the interface between immiscible liquids of different densities with low Froude number, Nonlinear Analysis Series B: Real World Applications, in press, doi:10.1016/j.nonrwa.2012.03.011
Bjørnarå, T.I. and S.A. Mathias, A pseudospectral approach to the McWhorter and Sunada equation for two-phase flow in porous media with capillary pressure, Computational Geoscience, in press.
Doster, F., J.M. Nordbotten, M.A. Celia, Hysteretic upscale constitutive relationships for vertically integrated porous media flow, Computation and Visualization in Science, accepted.
Elenius, M.T. and S.E. Gasda (2013), Convective mixing in formations with horizontal barriers, Advances in Water Resources, accpted.
Published
2013
Skogestad, J.O., E.Keilegavlen, J.M. Nordbotten (2013), Domain decomposition strategies for non-linear flow problems in porous media, Journal of Computational Physics, 234(1),439-451, doi:10.1016/j.jcp.2012.10.001.
Sandvin, A>, E. Keilegavlen, J.M. Nordbotten (2013), Auxiliary variables for 3D multiscale simulation in heterogeneous porous media, Journal of Computational Physics, 238(1), 141-153, doi:10.1016/j.jcp.2012.12.016.
Elenius, M. T. and K. Johannsen (2012), On the time scales of nonlinear instability in miscible displacement porous media flow, Computational Geosciences, doi: 10.1007/s10596-012-9294-2.
Elenius, M.T., J. M. Nordbotten, and H. Kalisch. Effects of a capillary transition zone on the stability of a diffusive boundary layer. IMA Journal of Applied Mathematics, online 2012.
Gasda, S.E., J. M. Nordbotten and M. A. Celia (2012), Application of simplified models to CO2 migration and immobilization in large-scale geological systems, International Journal of Greenhouse Gas Control, 9: 72-84.
Herrera, P. A., S. E. Gasda, H. K. Dahle, W. G. Gray (2012), Modeling CO2 migration in aquifers with variable thickness using the vertical equilibrium approximation, International Journal of Numerical Analysis & Modeling, 9(3): 745-776.
Lie, K.-A., S. Krogstad, L. S. Ligaarden, J. R. Natvig, H. M. Nilsen, et al. (2012), Open-source MATLAB implementation of consistent discretisations on complex grids, Computational Geosciences, 16(2), 297-322, doi: 10.1007/s10596-011-9244-4.
Mykkeltvedt, T. S., J. M. Nordbotten (2012), Estimating convective mixing rates from commercial-scale CO2 injection, Environmental Earth Sciences, doi:10.1007/s12665-012-1674-3.
Nogues, J. P., B. Court, M. E. Dobossy, J. M. Nordbotten, and M. A. Celia (2012), A methodology to estimate maximum probable leakage along old wells in a geological sequestration operation, International Journal of Greenhouse Gas Control, 7, 39-47, doi:10.1016/j.ijggc.2011.12.003.
Nordbotten, J. M., B. Flemisch, S. E. Gasda, H. M. Nilsen, Y. Fan, G. E. Pickup, B. Wiese, M. A. Celia, H. K. Dahle, G. T. Eigestad, K. Pruess (2012), Unvertainties in practical simulation of CO2 storage, International Journal of Greenhouse Gas Control, 9, 234-242, doi: 10.1016/j.ijggc.2012.03.007.
Court, B., K. W. Bandilla, M. A. Celia, T. A. Buscheck, J. M. Norbotten, M. Dobossy, A. Janzen (2012), Initial evaluation of synergies associated with simultaneous brine production and CO2 geological sequestration, International Journal of Greenhouse Gas Control, 8, 90-100, doi: 10.1016/j.ijggc.2011.12.009.
Keilegavlen, E., J. M. Nordbotten, A. Stephansen (2012), Anisotropic relative permeability: Origins, modeling and numerical discretion, International Journal of Numerical Analysis and Modeling, 9(3), 701-724.
Sandve, T. H., I. Berre, and J. M. Nordbotten (2012), An efficient multi-point flux approximation based approach for discrete fracture matrix simulation, Journal of Computational Physics, doi: 10.1016/j.jcp.2012.01.023.
Celia, M. A., J. M. Nordbotten, B. Court, M. Dobossy and S. Bachu, Field-scale application of a semi-analytical model for estimation of leakage potential along old wells, International Journal of Greenhouse Gas Control, 5, 257-269, doi: 10.1016/j.ijggc.2010.10.005.
Gray, W. G., P. A. Herrera, S. Gasda, H. K. Dahle (2012), Derivation of vertical equilibrium models for CO2 migration from pore scale equations, International Journal of Numerical Analysis and Modeling, 9(3), 745-776, 2012.
Nordbotten, J. M., B. Flemisch, S. E. Gasda, H. M. Nilsen, Y. Fan, G. E. Pickup, B. Wiese, M. A. Celia, H. K. Dahle, G. T. Eigestad, K. Pruess (2012), Uncertainties in practical simulation of CO2 storage, International Journal of Greenhouse Gas Control, 9, 234-242, doi: 10.1016/j.ijggc.2012.03.007
Court, B., K. W. Bandilla, M.A. Celia, A. Janzen, M.E. Dobossy, J.M. Nordbotten, Applicability of vertical-equilibrium and sharp-interface assumptions in CO2 sequestration modeling (2012), International Jounral of Greenhouse Gas Control, 10, 134-147, doi:10.1016/j.ijggc.2012.04.015.
Hals, K. and I. Berre (2012), Interaction between injection points during hydraulic fracturing, Water Resourcs Research, 48.
Nilsen, H.M., A.R. Syversveen, K.-A. Lie, J. Tveranger, and J.M. Nordbotten (2012), Impact of top-surface morphology on CO2 storage capacity, International Journal of Greenhouse Gas Control, 11, 221-235, DOI:10.1016/j.ijggc.2012.08.012
Nilsen, H. M., K.-A. Lie and J. R. Natvig, Accurate modeling of faults by multipoint mimetic and mixed methods, SPE Journal, 17(2), 568-579, DOI:10.2118/149690-PA.
Vasiliev, L., Raoof, A., J.M. Nordbotten (2012), Effect of mean network coordination number on dispersivity characteristics, Transport in Porous Media, 95(2), 447-463, doi:10.1007/s11242-012-0054-5.
2011
Nordbotten, J. M. and H.K. Dahle (2011), Impact of the capillary fringe in vertically integrated models for CO2 storage, Water Resources Research, 47, W02537, doi: 10.1029/2009WR008958.
Pruess, K,. and J. M. Nordbotten (2011), Numerical simulation studies of the long-term evolution of a CO2 plume in a saline aquifer with a sloping caprock, Transport in Porous Media, doi: 10.1007/s11242-011-9729-6.
Gasda, S. E., J. M. Nordbotten and M. A. Celia (2011), Vertically-averaged approaches to CO2 injection with solubility trapping, Water Resources Research, 47, W05528, doi: 10.1029/2010WR009075.
Nordbotten, J. M., J. P. Nogués and M. A. Celia (2010), Appropriate choice of average pressure for upscaling relative permeability in dynamic flow conditions, SPE Journal, 15(1):228-237. doi:10.2118/113558-PA.
Aavatsmark, I., G. T. Eigestad, B.-O. Heimsund, B. T. Mallison, J.M. Nordbotten and E. Øian (2010), A new finite volume approach to efficient discretization on challenging grids, SPE Journal, 15(3):658-669. doi: 10.2118/106435-PA
Joekar-Niasar, V., S. Majid Hassanizadeh, and H.K. Dahle (2010), Dynamic Pore-Network Modeling of Drainage in Two-Phase Flow, Journal of Fluid Mechanics. 655: 38-71. doi: 10.1017/S0022112010000704
Herrera, P., A. Valocchi, and R. Beckie, 2010. A multidimensional streamline-based method to simulate reactive solute transport in heterogeneous porous media. Advances in Water Resources, doi: 10.1016/j.advwatres.2010.03.001.
2009
1.Hægland, H., A. Assteerawatt, H.K. Dahle H.K., Eigestad G.T.,and Helmig (2009), Comparison of cell- and vertex centered discretization methods for flow in a two-dimensional discrete fracture-matrix system, Advances in Water Resources (43), doi:10.1016/j.advwatres.2009.09.006.
Class, H., H. K. Dahle, and R. Helmig (2009), Preface: Special issue of Computational Geosciences on numerical simulation of CO2 storage, Computational Geosciences, 14(3), doi:10.1007/s10596-009-9160-z.
Class, H., A. Ebigbo, R. Helmig, H. Dahle, J. M. Nordbotten, M. A. Celia, P. Audigane, M. Darcis, J. Ennis-King, Y. Fan, B. Flemisch, S. E. Gasda, S. Krug, D. Labregere, J. Min, A. Sbai, S. G. Thomas and L. Trenty (2009), A benchmark study on problems related to CO2 storage in geologic formations, Special issue of Computational Geosciences, 13(4), 409-434, doi:10.1007/s10596-009-9146-x
Eigestad, G.T., H. K. Dahle, B. Hellevang, F. Riis, W. T.Johansen, and E. Øian,(2009) Geological modeling and simulation of CO2 injection in the Johansen formation, Special issue of Computational Geosciences on numerical simulation of CO2 storage, 14(3), doi:10.1007/s10596-009-9153-y.
Nordbotten, J. M., J. P. Nogués and M. A. Celia (2010), Appropriate choice of average pressure for upscaling relative permeability in dynamic flow conditions, SPE Journal, doi:10.2118/113558-PA.
Keilegavlen, E., J. M. Nordbotten and I. Aavatsmark (2009), Sufficient criteria are also necessary for control volume methods, Applied Mathematics Letters, 22(8), 1178-1180, doi:10.1016/j.aml.2009.01.048.
Nordbotten, J. M. (2009), Adaptive variational multiscale methods for multi-phase flow in porous media, SIAM Multiscale Modeling and Simulation, 7(3), 1455-1473, doi:10.1137/080724745
Gasda, S. E., J. M. Nordbotten and M. A. Celia (2009), Vertical Equilibrium with Sub-scale Analytical Methods for Geological CO2 Sequestration, Special issue of Computational Geosciences, 13(4), 469-481, doi:10.1007/s10596-009-9138-x.
Celia, M. A. and J. M. Nordbotten (2009), Practical modeling approaches for geological storage of carbon dioxide, Ground Water. 47(5), 627-638, doi:10.1111/j.1745-6584.2009.00590.x
Nordbotten J. M., H. Haegland (2009), On reproducing uniform flow exactly on general hexahedral cells using one degree of freedom per surface, Advances in Water Resources, 32, 264-267. Doi:10.1016/j.advwatres.2008.11.005.
Nordbotten J. M., D. Kavetski, M. A. Celia, S. Bachu, A semi-analytical model estimating leakage associated with CO2 storage in large-scale multi-layered geological systems with multiple leaky wells, Environmental Science & Technology, 43(3), 743-749, doi:10.1021/es801135v.
2008
Nordbotten J. M., M. A. Celia, H. K. Dahle, S. M. Hassanizadeh (2008), On the definition of macro-scale pressure for multi-phase flow in porous media, Special section on Pore-scale modelling in Water Resources Research, 44(6), W06S02, doi:10.1029/2006WR005715.
Nordbotten J. M., P. E. Bjørstad (2008), On the relationship between domain decomposition preconditioners and the multiscale finite volume method, Special issue of Computational Geosciences on Multiscale methods for flow and transport in heterogeneous porous media, 12(3), 367-376, doi:10.1007/s10596-007-9066-6.
Aavatsmark, I., G. T. Eigestad, B. T. Mallison and J. M. Nordbotten (2008), A compact MPFA method with improved robustness, Numerical Methods for Partial Differential Equations, 24(5) 1329-1360, doi:10.1002/num.20320.
Nordbotten J. M. (2008), Analysis of probilistic soil moisture dynamics, Advances in Water Resources, 31(2), 418-423, doi:10.1016/j.advwatres.2007.09.008.
Gasda, S., J. M. Nordbotten and M. A. Celia (2008), Determining the effective wellbore permeability from a field pressure test: Numerical analysis of detection limits, Environmental Geology, 54(6), 1207-1215, doi:10.1007/s00254-007-0903-7.
Gasda, S. E., M. A. Celia, and J. M. Nordbotten (2008), Upslope plume migration and implications for geological CO2 sequestration in deep, saline aquifers, IES Journal A: Civil and Structural Engineering, 1:1, 2 - 16, doi:10.1080/19373260701620154.
2007
Nordbotten J. M., M. A. Celia, H. K. Dahle, S. M. Hassanizadeh (2007), Interpretation of pressure in Darcy's law, Water Resources Research, 43, W08430, doi:10.1029/2006WR005018.
Nordbotten J. M., I. Aavatsmark, G. T. Eigestad (2007), Monotonicity of control volume methods, Numerische Mathematik, 106, 255-288, doi:10.1007/s00211-006-0060-z.