Browsing Bergen Open Research Archive by Author "Lie, Knut-Andreas"
Now showing items 1-16 of 16
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The Corrected Operator Splitting Approach Applied to a Nonlinear Advection-Diffusion Problem
Karlsen, Kenneth Hvistendahl; Brusdal, K.; Dahle, Helge K.; Evje, Steinar; Lie, Knut-Andreas (Department of Applied Mathematics report, Research report, 1997-01) -
A fast Level Set Method for Reservoir Simulation
Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Risebro, Nils Henrik (Department of Applied Mathematics report, Research report, 1999-05) -
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 (Peer reviewed; Journal article, 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 ... -
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 Applied Mathematics report, Research report, 1997-04) -
Fully-implicit simulation of vertical-equilibrium models with hysteresis and capillary fringe
Nilsen, Halvor Møll; Lie, Knut-Andreas; Andersen, Odd (Peer reviewed; Journal article, 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 ... -
Numerical Solution of the Polymer System by Front Tracking
Haugse, V.; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald (Department of Applied Mathematics report, Research report, 1999-05) -
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 (Peer reviewed; Journal article, 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. ... -
An Open-Source Toolchain for Simulation and Optimization of Aquifer-Wide CO2 Storage
Andersen, Odd; Lie, Knut-Andreas; Nilsen, Halvor Møll (Peer reviewed; Journal article, 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 ... -
Operator Splitting Methods for Degenerate Convection-Diffusion Equations I: Convergence and Entropy Estimates
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas (Department of Applied Mathematics report, Research report, 1999-10) -
Operator splitting Methods for degenerate Convection-diffusion Equations II: Numerical Examples with Emphasis on Reservoir Simulation and Sedimentation
Holden, Helge; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas (Department of Applied Mathematics report, Research report, 1999-12) -
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. (Peer reviewed; Journal article, 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 ... -
Reexamining CO2 Storage Capacity and Utilization of the Utsira Formation
Andersen, Odd; Nilsen, Halvor Møll; Lie, Knut-Andreas (Chapter, 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 ... -
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 (Peer reviewed; Journal article, 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 ... -
A simulation workflow for large-scale CO2 storage in the Norwegian North Sea
Lie, Knut-Andreas; Nilsen, Halvor Møll; Andersen, Odd; Møyner, Olav (Journal article, 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 collected ... -
Time-of-Flight Marching + Transport Collapse: An Alternative to Streamlines for Two-Phase Media Flow with Capillary Forces.
Berre, Inga; Dahle, Helge K.; Karlsen, Kenneth Hvistendahl; Lie, Knut-Andreas; Natvig, Jostein Roald (Department of Applied Mathematics report, Research report, 2002-01) -
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 (Peer reviewed; Journal article, 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 ...