A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media

Gläser, Dennis; Flemisch, Bernd; Helmig, Rainer; Class, Holger

doi:10.1007/s13137-019-0116-8

Cited by 20 publications

(13 citation statements)

References 34 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…All classes and functions related to this approach can be found in the dumux/multidomain/facet folder of the DuMu x repository. For further details on the numerical scheme, we refer to [15,52].…”

Section: Two-phase Flow Through Fractured Porous Mediamentioning

confidence: 99%

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

Koch

Gläser

Weishaupt

et al. 2021

Computers & Mathematics with Applications

Self Cite

132

View full text Add to dashboard Cite

We present version 3 of the open-source simulator for flow and transport processes in porous media DuMu x . DuMu x is based on the modular C++ framework Dune (Distributed and Unified Numerics Environment) and is developed as a research code with a focus on modularity and reusability. We describe recent efforts in improving the transparency and efficiency of the development process and community-building, as well as efforts towards quality assurance and reproducible research. In addition to a major redesign of many simulation components in order to facilitate setting up complex simulations in DuMu x , version 3 introduces a more consistent abstraction of finite volume schemes. Finally, the new framework for multi-domain simulations is described, and three numerical examples demonstrate its flexibility.

show abstract

Section: Two-phase Flow Through Fractured Porous Mediamentioning

confidence: 99%

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

Koch

Gläser

Weishaupt

et al. 2021

Computers & Mathematics with Applications

Self Cite

132

View full text Add to dashboard Cite

show abstract

“…For instance, the open-source simulator DuMuX [B. Flemisch et al (2011); Koch et al (2020); dumux.org] contains a module for conforming dfm simulations of single-and multi-phase flow through fractured porous media, which has been used in several works (Andrianov & Nick, 2019;Gläser et al, 2017Gläser et al, , 2019. It supports the Gmsh file format, and thus, Frackit can be used in a fully opensource toolchain with Gmsh and DuMuX to generate random fracture networks, construct computational meshes, and perform analyses on them by means of numerical simulations.…”

Section: Statement Of Needmentioning

confidence: 99%

Frackit: a framework for stochastic fracture network generation and analysis

Gläser¹,

Flemisch²,

Class³

et al. 2020

JOSS

Self Cite

View full text Add to dashboard Cite

“…For the full set of 54,134 states the LM represented by Equations (13)-(15) produces a fit with an R 2 of 0.9430 while a natural spline (NS) fit represented by Equations (13), (16) and (17) increases the R 2 to 0.9634. An NS fit was implemented instead of the previously used GAM out of necessity as an eight parameter GAM over tens of thousands of data points is intractable.…”

Section: Resistance Coefficient State Equationsmentioning

confidence: 99%

“…refer to this as the traditional model and details are available in the literature [6]. Thousands of papers have been written on various aspects of the traditional model for two-fluid flow through a porous medium systems, including forms of the closure relations [7,8], mathematical analysis of the solution characteristics [9,10], numerical approximation methods intended to approximate the resultant model [11][12][13], computational science algorithms intended to produce efficient solution methods [14], and application to many different systems [15,16]. Much less work has been accomplished to advance the theory of two-fluid-phase flow, although significant shortcomings exist with the traditional approach.The traditional model for two-fluid-phase flow in porous media is formulated phenomenologically at the macroscale where a point represents averaged conditions over a region that includes all phases.…”

mentioning

confidence: 99%

Toward a New Generation of Two-Fluid Flow Models Based on the Thermodynamically-Constrained Averaging Theory

Bruning

Miller

2019

Water

View full text Add to dashboard Cite

Traditional models of two-fluid flow through porous media at the macroscale have existed for nearly a century. These phenomenological models are not firmly connected to the microscale; thermodynamic constraints are not enforced; empirical closure relations are well known to be hysteretic; fluid pressures are typically assumed to be in a local equilibrium state with fluid saturations; and important quantities such as interfacial and curvilinear geometric extents, tensions, and curvatures, known to be important from microscale studies, do not explicitly appear in traditional macroscale models. Despite these shortcomings, the traditional model for two-fluid flow in porous media has been extensively studied to develop efficient numerical approximation methods, experimental and surrogate measure parameterization approaches, and convenient pre- and post-processing environments; and they have been applied in a large number of applications from a variety of fields. The thermodynamically constrained averaging theory (TCAT) was developed to overcome the limitations associated with traditional approaches, and we consider here issues associated with the closure of this new generation of models. It has been shown that a hysteretic-free state equation exists based upon integral geometry that relates changes in volume fractions, capillary pressure, interfacial areas, and the Euler characteristic. We show an analysis of how this state equation can be parameterized with a relatively small amount of data. We also formulate a state equation for resistance coefficients that we show to be hysteretic free, unlike traditional relative permeability models. Lastly, we comment on the open issues remaining for this new generation of models.

show abstract

A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media

Cited by 20 publications

References 34 publications

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

DuMux 3 – an open-source simulator for solving flow and transport problems in porous media with a focus on model coupling

Frackit: a framework for stochastic fracture network generation and analysis

Toward a New Generation of Two-Fluid Flow Models Based on the Thermodynamically-Constrained Averaging Theory

Contact Info

Product

Resources

About