263 citations · 936 across the 46 of their papers we have counts for
50 papers
Integral equation method for microseismic wavefield modelling in anisotropic elastic media
Ujjwal Shekhar, Morten Jakobsen, Einar Iversen +2
In this paper, we present a frequency-domain volume integral method to model the microseismic wavefield in heterogeneous anisotropic-elastic media. The elastic wave equation is wri…
An adaptive solution strategy for Richards' equation
Jakob S. Stokke, Koondanibha Mitra, Erlend Storvik +2
Flow in variably saturated porous media is typically modelled by the Richards equation, a nonlinear elliptic-parabolic equation which is notoriously challenging to solve numericall…
Splitting Schemes for Coupled Differential Equations: Block Schur-Based Approaches and Partial Jacobi Approximation
Roberto Nuca, Erlend Storvik, Florin A. Radu +1
Coupled multi-physics problems are encountered in countless applications and pose significant numerical challenges. Although monolithic approaches offer possibly the best solution…
A robust solution strategy for the Cahn-Larché equations
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
In this paper we propose a solution strategy for the Cahn-Larché equations, which is a model for linearized elasticity in a medium with two elastic phases that evolve subject to a…
Convergence of a continuous Galerkin method for hyperbolic-parabolic systems
Markus Bause, Mathias Anselmann, Uwe Köcher +1
We study the numerical approximation by space-time finite element methods of a multi-physics system coupling hyperbolic elastodynamics with parabolic transport and modeling poro- a…
Space-time upscaling of reactive transport in porous media
Nicolae Suciu, Florin A. Radu, Iuliu S. Pop
Reactive transport in saturated/unsaturated porous media is numerically upscaled to the space-time scale of a hypothetical measurement through coarse-grained space-time (CGST) aver…
A Cahn-Hilliard-Biot system and its generalized gradient flow structure
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
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 poro…
Global random walk solvers for reactive transport and biodegradation processes in heterogeneous porous media
Nicolae Suciu, Florin A. Radu
Flow and multicomponent reactive transport in saturated/unsaturated porous media are modeled by ensembles of computational particles moving on regular lattices according to specifi…
Towards Hybrid Two-Phase Modelling Using Linear Domain Decomposition
David Seus, Florin A. Radu, Christian Rohde
The viscous flow of two immiscible fluids in a porous medium on the Darcy scale is governed by a system of nonlinear parabolic equations. If infinite mobility of one phase can be a…
Free energy diminishing discretization of Darcy-Forchheimer flow in poroelastic media
Jakub Wiktor Both, Jan Martin Nordbotten, Florin Adrian Radu
In this paper, we develop a discretization for the non-linear coupled model of classical Darcy-Forchheimer flow in deformable porous media, an extension of the quasi-static Biot eq…
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations
Jhabriel Varela, Elyes Ahmed, Eirik Keilegavlen +2
Mixed-dimensional elliptic equations exhibiting a hierarchical structure are commonly used to model problems with high aspect ratio inclusions, such as flow in fractured porous med…
Efficient Solvers for Nonstandard Models for Flow and Transport in Unsaturated Porous Media
Davide Illiano, Jakub Wiktor Both, Iuliu Sorin Pop +1
We study several iterative methods for fully coupled flow and reactive transport in porous media. The resulting mathematical model is a coupled, nonlinear evolution system. The flo…
Iterative splitting schemes for a soft material poromechanics model
Jakub W. Both, Nicolas A. Barnafi, Florin A. Radu +2
We address numerical solvers for a poromechanics model particularly adapted for soft materials, as it generally respects thermodynamics principles and energy balance. Considering t…
Global random walk solvers for fully coupled flow and transport in saturated/unsaturated porous media (extended version)
Nicolae Suciu, Davide Illiano, Alexander Prechtel +1
In this article, we present new random walk methods to solve flow and transport problems in unsaturated/saturated porous media, including coupled flow and transport processes in so…
An accelerated staggered scheme for phase-field modeling of brittle fracture
Erlend Storvik, Jakub Wiktor Both, Juan Michael Sargado +2
There is currently an increasing interest in developing efficient solvers for phase-field modeling of brittle fracture. The governing equations for this problem originate from a co…
Mathematical Modeling, Laboratory Experiments, and Sensitivity Analysis of Bioplug Technology at Darcy Scale
David Landa-Marbán, Gunhild Bødtker, Bartek Florczyk Vik +4
In this paper we study a Darcy-scale mathematical model for biofilm formation in porous media. The pores in the core are divided into three phases: water, oil, and biofilm. The wat…
Iterative Coupling for Fully Dynamic Poroelasticity
Markus Bause, Jakub W. Both, Florin A. Radu
We present an iterative coupling scheme for the numerical approximation of the mixed hyperbolic-parabolic system of fully dynamic poroelasticity. We prove its convergence in the Ba…
An efficient numerical scheme for fully coupled flow and reactive transport in variably saturated porous media including dynamic capillary effects
Davide Illiano, Iuliu Sorin Pop, Florin Adrian Radu
In this paper, we study a model for the transport of an external component, e.g., a surfactant, in variably saturated porous media. We discretize the model in time and space by com…
The fixed-stress splitting scheme for Biot's equations as a modified Richardson iteration: Implications for optimal convergence
Erlend Storvik, Jakub Wiktor Both, Jan Martin Nordbotten +1
The fixed-stress splitting scheme is a popular method for iteratively solving the Biot equations. The method successively solves the flow and mechanic subproblems while adding a st…
Implicit linearization method for non-standard two-phase flow in porous media
Abay M. Kassa, Kundan Kumar, Sarah E. Gasda +1
In this paper, we consider a non-local (in time) two-phase flow model. The non-locality is introduced through the wettability alteration induced dynamic capillary pressure function…
The gradient flow structures of thermo-poro-visco-elastic processes in porous media
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten +1
In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in porous media are examined for the first time. In the first part, a modelling framewor…
Robust linear domain decomposition schemes for reduced non-linear fracture flow models
Elyes Ahmed, Alessio Fumagalli, Ana Budiša +3
In this work, we consider compressible single-phase flow problems in a porous media containing a fracture. In the latter, a non-linear pressure-velocity relation is prescribed. Usi…
Iterative schemes for surfactant transport in porous media
Davide Illiano, Iuliu Sorin Pop, Florin Adrian Radu
In this work we consider the transport of a surfactant in a variably saturated porous media. The water flow is modelled by the Richards equations and it is fully coupled with the t…
Iterative solvers for Biot model under small and large deformation
Manuel Antonio Borregales, Kundan Kumar, Jan Martin Nordbotten +1
We consider L-scheme and Newton based solvers for Biot model under small or large deformation. The mechanical deformation follows the Saint Venant-Kirchoff constitutive law. Furthe…