Browsing Bergen Open Research Archive by Author "Nordbotten, Jan Martin"
Now showing items 1-20 of 77
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A 3-D numerical model of the influence of meanders on groundwater discharge to a gaining stream in an unconfined sandy aquifer
Balbarini, Nicola; Boon, Wietse; Nicolajsen, Ellen; Nordbotten, Jan Martin; Bjerg, Poul L.; Binning, Philip J. (Journal article, 2017)Groundwater discharge to streams depends on stream morphology and groundwater flow direction, but are not always well understood. Here a 3-D groundwater flow model is employed to investigate the impact of meandering stream ... -
An accelerated staggered scheme for variational phase-field models of brittle fracture
Storvik, Erlend; Both, Jakub Wiktor; Sargado, Juan Michael Uy Villanueva; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2021)There is currently an increasing interest in developing efficient solvers for variational phase-field models of brittle fracture. The governing equations for this problem originate from a constrained minimization of a ... -
Active and integrated management of water resources throughout CO2 capture and sequestration operations
Court, Benjamin; Celia, Michael A.; Nordbotten, Jan Martin; Elliot, Thomas R. (Peer reviewed; Journal article, 2011)Most projected climate change mitigation strategies will require a significant expansion of CO2 Capture and Sequestration (CCS) in the next two decades. Four major categories of challenges are being actively researched: ... -
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2020)In this paper we develop adaptive iterative coupling schemes for the Biot system modeling coupled poromechanics problems. We particularly consider the space–time formulation of the fixed-stress iterative scheme, in which ... -
Analysis of Control Volume Heterogeneous Multiscale Methods for Single Phase Flow in Porous Media
Alyaev, Sergey; Keilegarden, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2014)The standard approximation for the flow-pressure relationship in porous media is Darcy's law that was originally derived for infiltration of water in fine homogeneous sands. Ever since there have been numerous attempts to ... -
Analytical solutions for aquifer thermal energy storage
Nordbotten, Jan Martin (Peer reviewed; Journal article, 2017-02)The concept of aquifer thermal energy storage involves injection of water at elevated temperature, and possibly nonambient salinity, into a host aquifer. We consider axisymmetric injection, wherein both the composition and ... -
Auxiliary variables for 3D multiscale simulations in heterogeneous porous media
Sandvin, Andreas; Keilegavlen, Eirik; Nordbotten, Jan Martin (Journal article, 2013-04-01)The multiscale control-volume methods for solving problems involving flow in porous media have gained much interest during the last decade. Recasting these methods in an algebraic framework allows one to consider them as ... -
Beskrivelse av skoleforsøket: Lagring av CO2 under havbunnen
Nordbotten, Jan Martin; Rygg, Kristin (Working paper, 2010-03-04) -
A Cahn-Hilliard-Biot system and its generalized gradient flow structure
Storvik, Erlend; Both, Jakub Wiktor; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2022)In this work, we propose a new model for flow through deformable porous media, where the solid material has two phases with distinct material properties. The two phases of the porous material evolve according to a generalized ... -
Capturing the coupled hydro-mechanical processes occurring during CO2 injection – example from In Salah
Bjørnarå, Tore Ingvald; Mathias, Simon A.; Nordbotten, Jan Martin; Park, Joonsang; Bohloli, Bahman (Peer reviewed; Journal article, 2014)At In Salah, CO2 is removed from the production stream of several natural gas fields and re-injected into a deep and relatively thin saline formation, in three different locations. The observed deformation on the surface ... -
Cell-centered finite volume discretizations for deformable porous media
Nordbotten, Jan Martin (Peer reviewed; Journal article, 2014-08-11)The development of cell-centered finite volume discretizations for deformation is motivated by the desire for a compatible approach with the discretization of fluid flow in deformable porous media. We express the conservation ... -
A combined finite element–finite volume framework for phase-field fracture
Sargado, Juan Michael Uy Villanueva; Keilegavlen, Eirik; Berre, Inga; Nordbotten, Jan Martin (Journal article; Peer reviewed, 2021)Numerical simulations of brittle fracture using phase-field approaches often employ a discrete approximation framework that applies the same order of interpolation for the displacement and phase-field variables. In particular, ... -
Consistent MPFA Discretization for Flow in the Presence of Gravity
Starnoni, Michele; Berre, Inga; Keilegavlen, Eirik; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019)A standard practice used in the industry to discretizing the gravity term in the two‐phase Darcy flow equations is to apply an upwind strategy. In this paper, we show that this can give a persistent unphysical flux field ... -
Convergence of a Cell-Centered Finite Volume Discretization for Linear Elasticity
Nordbotten, Jan Martin (Peer reviewed; Journal article, 2015-11-19)We show convergence of a cell-centered finite volume discretization for linear elasticity. The discretization, termed the MPSA method, was recently proposed in the context of geological applications, where cell-centered ... -
A convergent mass conservative numerical scheme based on mixed finite elements for two-phase flow in porous media
Radu, Florin Adrian; Kumar, Kundan; Nordbotten, Jan Martin; Pop, Sorin Iuliu (Research report, 2017)In this work we present a mass conservative numerical scheme for two-phase flow in porous media. The model for flow consists on two fully coupled, non-linear equations: a degenerate parabolic equation and an elliptic ... -
DarSIA: An Open-Source Python Toolbox for Two-Scale Image Processing of Dynamics in Porous Media
Nordbotten, Jan Martin; Benali, Benyamine; Both, Jakub Wiktor; Brattekås, Bergit; Storvik, Erlend; Fernø, Martin (Journal article; Peer reviewed, 2023)Understanding porous media flow is inherently a multi-scale challenge, where at the core lies the aggregation of pore-level processes to a continuum, or Darcy-scale, description. This challenge is directly mirrored in image ... -
Detecting leakage of brine or CO2 through abandoned wells in a geological sequestration operation using pressure monitoring wells
Nogues, Juan P.; Nordbotten, Jan Martin; Celia, Michael A. (Peer reviewed; Journal article, 2011)For risk assessment, policy design and GHG emission accounting it is extremely important to know if any CO2 or brine has leaked from a geological sequestration (GS) operation. As such, it is important to understand if it ... -
Domain decomposition preconditioning for non-linear elasticity problems
Keilegavlen, Eirik; Skogestad, Jan Ole; Nordbotten, Jan Martin (Chapter; Peer reviewed, 2014)We consider domain decomposition techniques for a non-linear elasticity problem. Our main focus is on non-linear preconditioning, realized in the framework of additive Schwarz preconditioned inexact Newton (ASPIN) methods. ... -
The dynamics of trait variance in multi-species communities: Multi-species trait variance dynamics
Nordbotten, Jan Martin; Bokma, Folmer; Hermansen, Jo Skeie; Stenseth, Nils Christian (Journal article; Peer reviewed, 2020)In this paper, we establish the explicit connection between deterministic trait-based population-level models (in the form of partial differential equations) and species-level models (in the form of ordinary differential ... -
Ecological and evolutionary dynamics of interconnectedness and modularity
Nordbotten, Jan Martin; Levin, Simon A.; Szathmáry, Eörs; Stenseth, Nils Christian (Peer reviewed; Journal article, 2018-01-23)In this contribution, we develop a theoretical framework for linking microprocesses (i.e., population dynamics and evolution through natural selection) with macrophenomena (such as interconnectedness and modularity within ...