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Article
Open AccessNumerical Simulations of Viscous Fingering in Fractured Porous Media
The effect of heterogeneity induced by highly permeable fracture networks on viscous miscible fingering in porous media is examined using high-resolution numerical simulations. We consider the planar injection...
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Article
FluidFlower: A Meter-Scale Experimental Laboratory for Geological CO2 Storage
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Article
Open AccessPoroTwin: A Digital Twin for a FluidFlower Rig
We present a framework for integrated experiments and simulations of tracer transport in heterogeneous porous media using digital twin technology. The physical asset in our setup is a meter-scale FluidFlower r...
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Article
Direct Comparison of Numerical Simulations and Experiments of \(\hbox {CO}_2\) Injection and Migration in Geologic Media: Value of Local Data and Forecasting Capability
The accuracy and robustness of numerical models of geologic \(\hbox {CO}_2\) CO ...
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Article
Open AccessThe FluidFlower Validation Benchmark Study for the Storage of CO \(_2\)
Successful deployment of geological carbon storage (GCS) requires an extensive use of reservoir simulators for screening, ranking and optimization of storage sites. However, the time scales of GCS are such tha...
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Article
Open AccessFunctional analysis and exterior calculus on mixed-dimensional geometries
We are interested in differential forms on mixed-dimensional geometries, in the sense of a domain containing sets of d-dimensional manifolds, structured hierarchically so that each d-dimensional manifold is conta...
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Article
Open AccessA singularity removal method for coupled 1D–3D flow models
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 sourc...
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Chapter and Conference Paper
Convergence of a TPFA Finite Volume Scheme for Mixed-Dimensional Flow Problems
two-point flux approximation (TPFA) finite volume method is considered for mixed-dimensional fracture flow problems. Its construction is based on applying a face-based quadrature rule to a conforming, mix...
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Chapter and Conference Paper
Free Energy Diminishing Discretization of Darcy-Forchheimer Flow in Poroelastic Media
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 equations. The continuous m...
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Article
Open AccessA heterogeneous multiscale MPFA method for single-phase flows in porous media with inertial effects
Upscaling of flow from pore to Darcy scale is a long-standing research field within flow in porous media. It is well known that non-linearities can occur in near-well regions and high-porosity or fractured med...
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Chapter and Conference Paper
Mathematics and Medicine: How Mathematics, Modelling and Simulations Can Lead to Better Diagnosis and Treatments
Starting with the discovery of X-rays by Röntgen in 1895, the progress in medical imaging has been extraordinary and immensely beneficial to diagnosis and therapy. Parallel to the increase of imaging accuracy,...
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Article
Open AccessUpscaling of the Coupling of Hydromechanical and Thermal Processes in a Quasi-static Poroelastic Medium
We undertake a formal derivation of a linear poro-thermo-elastic system within the framework of quasi-static deformation. This work is based upon the well-known derivation of the quasi-static poroelastic equat...
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Article
Robust iterative schemes for non-linear poromechanics
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 st...
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Article
Modeling and Simulation of Microbial Enhanced Oil Recovery Including Interfacial Area
The focus of this paper is the derivation of a nonstandard model for microbial enhanced oil recovery (MEOR) that includes the interfacial area (IFA) between oil and water. We consider the continuity equations ...
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Article
Editorial
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Article
Open AccessTwo-Scale Preconditioning for Two-Phase Nonlinear Flows in Porous Media
Solving realistic problems related to flow in porous media to desired accuracy may be prohibitively expensive with available computing resources. Multiscale effects and nonlinearities in the governing equation...
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Article
Open AccessInexact linear solvers for control volume discretizations in porous media
We discuss the construction of multi-level inexact linear solvers for control volume discretizations for porous media. The methodology forms a contrast to standard iterative solvers by utilizing an algebraic h...
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Article
Convective mixing influenced by the capillary transition zone
Convective mixing of dissolved carbon dioxide (CO2) with formation brine has been shown to be a significant factor for the rate of dissolution of CO2 and thus for determining the viability of geological CO2 stora...
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Chapter and Conference Paper
Conservative Inexact Solvers for Porous Media Flow
The governing equations for flow and transport in porous media are derived assuming conservation of mass. To ensure stability of the simulations significant attention is given to ensure that the discrete syste...
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Article
Effect of Mean Network Coordination Number on Dispersivity Characteristics
In this study, we investigate the role of topology on the macroscopic (centimeter scale) dispersion characteristics derived from pore-network models. We consider 3D random porous networks extracted from a regu...
