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Operator splitting methods for systems of convection-diffusion equations: nonlinear error mechanisms and correction strategies 

Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald; Nordhaug, Hans Fredrik; Dahle, Helge K. (Elsevier, 2001)
Many numerical methods for systems of convection-diffusion equations are based upon an operator splitting formulation, where convective and diffusive forces are accounted for in separate substeps. We describe the nonlinear ...
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Field-case simulation of CO2-plume migration using vertical-equilibrium models 

Nilsen, Halvor Møll; Herrera, Paulo; Ashraf, Seyed Meisam; Ligaard, Ingeborg S.; Iding, Martin; Hermanrud, Christian; Lie, Knut-Andreas; Nordbotten, Jan Martin; Dahle, Helge K.; Keilegavlen, Eirik (Elsevier, 2011)
When injected in deep saline aquifers, CO2 moves radially away from the injection well and progressively higher in the formation because of buoyancy forces. Analyzes have shown that after the injection period, CO2 will ...
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Robust simulation of sharp-interface models for fast estimation of CO2 trapping capacity in large-scale aquifer systems 

Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd (Springer, 2016-02)
Modeling geological carbon storage represents a new and substantial challenge for the subsurface geosciences. To increase understanding and make good engineering decisions, containment processes and large-scale storage ...
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Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe 

Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd (Springer, 2016-02)
Geological carbon storage represents a new and substantial challenge for the subsurface geosciences. To increase understanding and make good engineering decisions, containment processes and large-scale storage operations ...
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A simulation workflow for large-scale CO2 storage in the Norwegian North Sea 

Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav (Springer, 2016-06)
Large-scale CO2 injection problems have revived the interest in simple models, like percolation and vertically-averaged models, for simulating fluid flow in reservoirs and aquifers. A series of such models have been ...
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An Open-Source Toolchain for Simulation and Optimization of Aquifer-Wide CO2 Storage 

Andersen, Odd; Lie, Knut-Andreas; Nilsen, Halvor Møll (Elsevier Ltd., 2016-02-04)
Planning and execution of large-scale, aquifer-wide CO2 storage operations will require extensive use of computer modelling and simulations. The required computational tools will vary depending on the physical characteristics ...
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Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation 

Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas (EAGE, 2014)
In this work we provide estimates of CO2 storage capacity of the Utsira Formation using the recently provided datasets from the Norwegian Petroleum Directorate, taking CO2 density variation into account. We also investigate ...
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Using sensitivities and vertical-equilibrium models for parameter estimation of CO2 injection models with application to Sleipner data 

Nilsen, Halvor Møll; Krogstad, Stein; Andersen, Odd; Allen, Rebecca; Lie, Knut-Andreas (Elsevier, 2017-07)
A key part of planning CO2 storage sites is to devise a monitoring strategy with proper modelling support. Herein, we show how a simulation framework that incorporates adjoint-based sensitivities can be combined with ...
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Open-source MATLAB implementation of consistent discretisations on complex grids 

Lie, Knut-Andreas; Krogstad, Stein; Ligaarden, Ingeborg Skjelkvåle; Natvig, Jostein Roald; Nilsen, Halvor Møll; Skaflestad, Bård (Springer, 2011-08-02)
Accurate geological modelling of features such as faults, fractures or erosion requires grids that are flexible with respect to geometry. Such grids generally contain polyhedral cells and complex grid-cell connectivities. The ...
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A Front Tracking Approach to a Two-Phase fluid Flow Model with Capillary Forces 

Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik; Frøyen, Johnny (Department of Mathematics, University of Bergen, 1997-04)
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TypeJournal article (8)Research report (7)Peer reviewed (2)Conference object (1)Date Issued2010 - 2017 (8)2000 - 2009 (2)1997 - 1999 (6)Author
Lie, Knut-Andreas (16)
Karlsen, Kenneth Hvistendahl (8)Nilsen, Halvor Møll (8)Andersen, Odd (6)Dahle, Helge K. (4)Natvig, Jostein Roald (4)Holden, Helge (2)Krogstad, Stein (2)Risebro, Nils Henrik (2)Allen, Rebecca (1)... View MoreSubjectCO2 storage (3)spill-point analysis (2)Vertical equilibrium (2)basin-scale injection (1)Bravo Dome (1)Capillary fringe (1)Compressibility (1)Dissolution (1)Hysteresis (1)long-term migration (1)... View MoreNorwegian Science IndexMatematikk og Naturvitenskap: 400 (1)Mathematics and natural science: 400 (1)... View MoreJournalComputational Geosciences (1)Energy Procedia (1)

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