Browsing Department of Mathematics by Journals "Computational Geosciences"
Now showing items 1-7 of 7
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Efficient water table evolution discretization using domain transformation
(Peer reviewed; Journal article, 2017-02)Domain transformation methods are useful techniques for solving problems on non-stationary domains. In this work, we consider the evolution of the water table in an unconfined aquifer. This nonlinear, time-dependent problem ... -
Inexact linear solvers for control volume discretizations in porous media
(Peer reviewed; Journal article, 2014-12-03)We discuss the construction ofmulti-level inexact linear solvers for control volume discretizations for porous media. The methodology forms a contrast to standard iterative solvers by utilizing an algebraic hierarchy of ... -
Iterative schemes for surfactant transport in porous media
(Journal article; Peer reviewed, 2020)In this work, we consider the transport of a surfactant in variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the transport equation for the surfactant. Three ... -
Iterative solvers for Biot model under small and large deformation
(Journal article; Peer reviewed, 2020-07-18)We consider L-scheme and Newton-based solvers for Biot model under large deformation. The mechanical deformation follows the Saint Venant-Kirchoff constitutive law. Furthermore, the fluid compressibility is assumed to be ... -
Robust iterative schemes for non-linear poromechanics
(Peer reviewed; Journal article, 2018)We consider a non-linear extension of Biot’s model for poromechanics, wherein both the fluid flow and mechanical deformation are allowed to be non-linear. Specifically, we study the case when the volumetric stress and the ... -
A simulation workflow for large-scale CO2 storage in the Norwegian North Sea
(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 ... -
A singularity removal method for coupled 1D–3D flow models
(Journal article; Peer reviewed, 2019)In reservoir simulations, the radius of a well is inevitably going to be small compared to the horizontal length scale of the reservoir. For this reason, wells are typically modelled as lower-dimensional sources. In this ...