GRK 1398: Non-Linearities and Upscaling in Porous Media
Final Report Abstract
Coping with non-linearities and the question of upscaling are outstanding challenges in environmental, technical, and biological applications within the field of flow and transport in porous media. A variety of characteristic (spatial and temporal) scales can be identified in porous media, generally related to the structure of their heterogeneities. The flow and transport phenomena in these media can be caused by coupled mechanisms resulting from the non-linear interplay of physical, chemical, and/or biological processes. To tackle the problems in this field, an interdisciplinary approach is crucial. The participating scientists excel in such diverse fields as applied mathematics, scientific computing, physics, environmental and civil engineering, geosciences, and petroleum engineering. Fundamental research (e.g. the development of stochastic methods and basic theories of flow and transport in porous media) and research on the optimisation of efficient numerical schemes were interlinked with applied research in various fields (e.g. the optimisation of fuel cells or the geological sequestration of carbon dioxide). One central aspect of the International Research Training Group on Non-linearities and Upscaling in PoroUS Media (NUPUS) was the study programme, which aimed at fostering a coherent combination of education of and research by young scientists. This was achieved by organising advanced courses which met the needs of the young scientists involved, implementing a local, biweekly ’graduate school seminar’ for discussing research results, and an exchange programme allowing the doctoral students to spend six to nine months in one of the partner countries. The biweekly seminar was made available to students and supervisors from the other universities via videoconferencing. The resulting international and interdisciplinary environment enabled the qualifying fellows as well as the doctoral and postdoctoral researchers to perform highly efficient work at a top level of scientific research in non-linearities and upscaling in porous media systems. With the help of the the International Research Training Group NUPUS, porous-media research and education has gained a high strategic and structural importance for the University of Stuttgart.
Publications
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CO2 leakage through an abandoned well: problem-oriented benchmarks. Computational Geosciences 11, 103-115, 2007
Ebigbo, A., Class, H. and Helmig, R.
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DuMuX: a multi-scale multi-physics toolbox for flow and transport processes in porous media. In: Ibrahimbegovic, A. and Dias, F. (eds.): ECCOMAS Thematic Conference on Multi-scale Computational Methods for Solids and Fluids (28.-30. November 2007, Paris, France). 2007, 82-87
Flemisch, B., Fritz, J., Helmig, R., Niessner, J. and Wohlmuth, B.I.
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Numerical modeling of CO2 storage in geological formations - recent developments and challenges. 1. French-German Symposium on Geological Storage of CO2. Science Report No. 9. Geoforschungszentrum Potsdam, 2007, 51-58
Class, H., Ebigbo, A. and Kopp, A.
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Simulation of multiphase multicomponent processes in the diffusion layer of PEM fuel cells. In: Qintard, M. (eds.): 2007. Proceedings of Eurotherm 81, 2007, Albi, France
Ochs, S.O., Class, H., Helmig, R. and Acosta, M.
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A two-scale operator splitting for flow problems in porous media. In Proceedings of ECMOR XI, Bergen, Norway, 2008
Cao, Y., Weiss, A. and Wohlmuth, B.
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Application of Copulas in Geostatistics, Proceedings of 7th International Conference on Geostatistics for Environmental Applications, Southampton, UK, September 6-10, 2008
Haslauer, C., Li, J. and Bárdossy, A
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Benchmark on anisotropic problems - a mimetic finite difference method, in Finite Volumes for Complex Applications V - Problems and Perspectives, J.-M. H. Robert Eymard, ed., ISTE Ltd and John Wiley & Sons Inc, 2008
Marnach, S.
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Flow Feature Visualization Using Logical Operators on Multivariate Field, Electronic Proceedings of the International Symposium on Flow Visualization, 2008
Botchen, R.P., Lauser, A., Weiskopf, D. and Ertl, T.
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Geostatistical interpolation using copulas. Water Resources Research, 44, W07412, 2008
Bárdossy, A. and Li, J.
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Macroscopic capillarity in two phase flow in porous media, CMWR Conference, San Francisco, CA, USA, 2008
Doster, F., Zegeling, P. and Hilfer, R.
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Numerical studies on a new theory on multiphase flow in porous media, DPG annual meeting, Berlin, Germany, 2008
Doster, F. and Hilfer, R.
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Numerische Untersuchung zur CO2 Sequestrierung in geologischen Formationen - problemorientierte Benchmarks. Scientific Report Nr. LH2 18, 10/2008. Institut für Wasserbau, Universität Stuttgart, 2008
Ebigbo, A., Class, H. and Helmig, R.
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Observation Network Design for Environmental Variables using a Copula based Approach, Proceedings of VIII International Geostatiscs Congress, Santiago de Chile, December 1-5, 2008
Bárdossy, A., Li, J. and de Guenni, L.B.
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The influence of the boundary discretization on the multipoint flux approximation L-method. In R. Eymard and J.M. Hérard, editors, Finite Volumes for Complex Applications V (Problems & Perspectives), 257-263. Wiley, 2008
Cao, Y., Helmig, R. and Wohlmuth, B.
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A benchmark study on problems related to CO2 storage in geologic formations. Computational Geosciences 13, 4, 409-434, 2009
Class, H., Ebigbo, A., Helmig, R., Dahle, H.K., Nordbotten, J.M., Celia, M.A., Audigane, P., Darcis, M., Ennis-King, J., Fan, Y., Flemisch, B., Gasda, S.E., Jin, M., Krug, S., Labregere, D., Naderi Beni, A., Pawar, R.J., Sbai, A., Thomas, S.G., Trenty, L. and Wei, L.
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Application of FFT-based Algorithms for Large-Scale Universal Kriging Problems. Mathematical Geosciences, 2009
Fritz, J., Nowak, W. and Neuweiler, I.
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Convergence of the multipoint flux approximation L- method for homogeneous media on uniform grids. Numer. Methods Partial Differential Equations, 2009
Cao, Y., Helmig, R. and Wohlmuth, B.
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Geometrical interpretation of the multi-point flux approximation L-method. Internat. J. Numer. Methods Fluids, 60:1173-1199, 2009
Cao, Y., Helmig, R. and Wohlmuth, B.
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Hysteresis in twophase flow in porous media - a numerical experiment, DPG annual meeting, Dresden, Germany, 2009
Doster, F., Zegeling, P. and Hilfer, R.
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Kinetic Decomposition for Singular Limits of Non-Local Conservation Laws, J. Diff. Eq. 247(12), 2009
Kissling, F., LeFloch, P. G. and Rohde, C.
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Modelling of biofilm growth and its influence on CO2 and water (two-phase) flow in porous media. Doctoral thesis, University of Stuttgart, 2009
Ebigbo, A.
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A decoupled model for compositional non-iso-thermal multiphase flow in porous media and multiphysics approaches for two-phase flow. Doctoral thesis, University of Stuttgart, Germany, 2010
Fritz, J.
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A model for transport of hydrogen sulphide in oil- and water-saturated porous media, Computing and Visualization in Science, 2010, Vol. 13, pp. 265-273, ISSN: 1432-9360
Skjælaaen, I., Ebigbo, A., Espedal, M. and Helmig, R.
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A Multiphasic Model Describing the CO2 Injection Problem. Proceedings in Applied Mathematics and Mechanics 10, 2010
Komarova, I. and Ehlers, W.
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A validation study of OpenFOAM using the supersonic flow in a mixed compression intake, Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 224 (6) :673-679, January 2010
Sudharsan, N.M., Jambhekar, V.and Babu, V.
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An effective model for biofilm growth in a thin strip, Water Resources Research, Volume 46, Issue 6, 2010
van Noorden, T.L., Pop, I.S., Ebigbo, A. and Helmig, R.
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Application of copulas as a new geostatistical tool. Doctoral thesis, University of Stuttgart, Germany, 2010
Li, J.
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Efficient Modeling of Multiphase Flow and Transport in Porous Media using Multi-Physics and Multi-Scale Approaches. Handbook of Geomathematics; Freeden, W., Nashed, Z., Sonar, T. (Eds.); Springer, 2010, ISBN: 978-3-642-01545-8
Helmig, R., Niessner, J., Flemisch, B., Wolff, M. and Fritz, J.
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Methods for predicting the spreading of steam below the water table during subsurface remediation. Water Resources Research (2010)
Ochs, S.O., Class, H., Färber, A. and Helmig, R.
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Modelling biofilm growth in the presence of carbon dioxide and water flow in the subsurface. Advances in Water Resources, Vol: 33, Pages: 762-781, ISSN: 0309-1708, 2010
Ebigbo, A., Helmig, R., Cunningham, A.B., Class, H. and Gerlach, R.
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Modelling Gas-Water Processes in Fractures with Fracture Flow Properties Obtained through Upscaling. Water Resources Research 46 (2010) W09528
Nuske, P., Faigle, B., Helmig, R., Niessner, J. and Neuweiler, I.
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Numerical solutions of ageneralized theory for macroscopic capillarity, Phys. Rev. E 81(3), 036307, 2010
Doster, F., Zegeling, P.A. and Hilfer, R.
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Percolation as a basic concept for macroscopic capillarity, Transport in Porous Media 82(3), 507-519, 2010
Hilfer, R. and Doster, F.
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Robust numerical algorithms based on corrected operator splitting for two-phase flow in porous media. Doctoral thesis, University of Stuttgart, Germany, 2010
Cao, Y.
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The Computation of Nonclassical Shock Waves with a Heterogeneous Multiscale Method, Netw. Heterog. Media, 2010, 5, 661-674
Kissling, F. and Rohde, C.
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A Copula based observation network design approach. Environmental Modelling & Software 26, 1349-1357, 2011
Li, J., Bárdossy, A., Guenni, L. and Liu, M.
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A new approach for phase transitions in miscible multi-phase flow in porous media. Advances in Water Resources 34,8 (2011) 957-966
Lauser, A., Hager, C., Helmig, R. and Wohlmuth, B.I.
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A two-scale operator-splitting method for two-phase flow in porous media, Advances in Water Resources 34, 12, 1581-1596, 2011
Cao, Y., Helmig, R. and Wohlmuth, B.
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Carbon dioxide storage in the subsurface: an approach including solid deformations and phase transition. Proceedings in Applied Mathematics and Mechanics, 11, 473–474, 2011
Häberle, K. and Ehlers, W.
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Die Bedeutung perkolierender und nichtperkolierender Phasen bei Mehrphasenströmungen in porösen Medien auf Laborskala. Doctoral thesis, University of Stuttgart, Germany, 2011
Doster, F.
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DuMuX: DUNE for multi-phase, component, scale, physics, ... flow and transport in porous media. Advances in Water Resources 34, 9, 1102- 1112, 2011
Flemisch, B., Darcis, M., Erbertseder, K., Faigle, B., Lauser, A., Mosthaf, K., Müthing, S., Nuske, P., Tatomir, A., Wolff, M. and Helmig, R.
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Experimental Investigation on front morphology for two-phase flow in heterogeneous porous media. Water Resources Research W10528, 2011
Heiß, V.I., Neuweiler, I., Ochs, S.O. and Färber, A.
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Generalized Buckley-Leverett theory for two-phase flow in porous media, New J. Phys. 13 123030, 2011
Doster, F. and Hilfer, R.
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Influence of soil structure and root water uptake on flow in the unsaturated zone. Doctoral thesis, University of Stuttgart, Germany, 2011
Kuhlmann, A.
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Analytical solutions for co- and countercurrent imbibition of sorbing, dispersive solutes in immiscible two-phase flow. Computational Geosciences 16, 2012
Schmid, K.S., Geiger, S. and Sorbie, K.S.
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Carbon dioxide storage in the subsurface: a fully coupled analysis of transport phenomena and solid deformation. Doctoral thesis, University of Stuttgart, Germany, 2012
Komarova,I.
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Carbon-dioxide storage and phase transitions: towards an understanding of crack development in the cap-rock layer. Proceedings in Applied Mathematics and Mechanics, 12, 377–378, 2012
Häberle, K. and Ehlers, W.
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Darcy-scale modeling of microbially induced carbonate mineral precipitation in sand columns. Water Resour. Res. 48(7):1-17, 2012
Ebigbo, A., Phillips, A., Gerlach, R., Helmig, R., Cunningham, A.B., Class, H. and Spangler, L.H.
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Decoupled and multiphysics models for non-isothermal compositional two-phase flow in porous media. International Journal of Numerical Analysis and Modeling, 9(1), pp. 17–28, 2012
Fritz, J., Flemisch, B. and Helmig, R.
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Flow topology and scalar mixing in spatially heterogeneous flow fields, Geophys. Res. Lett., 39, L08404, 2012
de Barros, F.P.J., Dentz, M., Koch, J.and Nowak, W.
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GIS-based modelling of topography-induced solar radiation variability in complex terrain for data sparse region. International Journal of Geographical Information Science 26, 2012
Liu, M., Bárdossy, A., Li, J. and Jiang, Y.
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Higher Order FE-FV Methods on Unstructured Grids for Transport and Two-Phase Flow with Variable Viscosity in Heterogeneous Porous Media, Journal of Computational Physics 241, 2012
Schmid, K.S., Geiger, S. and Sorbie, K.S.
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Horizontal flows and capillarity driven redistribution in porous media, Phys. Rev. E 86(1), 016317, 2012
Doster, F., Hönig, O.and Hilfer, R.
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Influence of soil structure and root water uptake strategy on unsaturated flow in heterogeneous media, Water Resources Research, Vol. 48, 2012
Kuhlmann, A., Neuweiler, I., van der Zee, S.E.A.T.M. and Helmig, R.
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Laufende Wellenlösungen von Systemen nichtlinearer partieller Differentialgleichungen am Beispiel von Mehrphasenströmungen in porösen Medien. Doctoral thesis, University of Stuttgart, Germany, 2012
Hönig, O.
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Mathematical analysis and numerical simulation of multi-phase multi-component flow in heterogeneous porous media. Current Opinion in Colloid & Interface Science, Volume 17, Issue 3, June 2012, Pages 147-155
Geiger, S., Schmid, K.S. and Zaretskiy, Y.
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Measurement of Capillary Pressure–Saturation Relationships Under Defined Compression Levels for Gas Diffusion Media of PEM Fuel Cells.Transport in Porous Media, 2012, Volume 91, Issue 1, pp. 281-294
Dwenger, S., Eigenberger, G. and Nieken, U.
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Nonmonotone saturation profiles for hydrostatic equilibrium in homogeneous porous media, Vadoze Zone J., 11(3), 2012
Hilfer, R., Doster, F. and Zegeling, P.A.
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Numerical investigations on two-phase flow in polymer electrolyte fuel cells. Doctoral thesis, Utrecht University, The Netherlands, 2012
Qin, C.Z.
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Numerical Simulation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method. In: T. Li and S. Jiang (Eds.): Hyperbolic Problems: Theory, Numerics and Applications, 2012
Kissling, F. and Rohde, C.
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Physically-based modeling of topographic effects on spatial evapotranspiration and soil moisture patterns through radiation and wind. Hydrology and Earth System Sciences (HESS) 16, 2012
Min, L., Bárdossy, A., Li, J. and Yuan, J.
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Reducing the number of MC runs with antithetic and common random fields, Internat. Advances in Water Resources 43, 1-13, 2012
Guthke, P. and Bárdossy, A.
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Simulation of Infiltration Processes in the Unsaturated Zone Using a Multi-Scale Approach. Vadose Zone Journal, 11, 3, 2012
Kissling, F., Helmig, R. and Rohde, C.
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Universal Scaling of Spontaneous Imbibition for Water Wet Rocks, Water Resources Research 48, 2012
Schmid, K.S. and Geiger, S.
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A fast and accurate adaptive solution strategy for two-scale models with continuous inter-scale dependencies, Journal of Computational Physics, 2013, 240, 268-283
Redeker, M. and Eck, C.
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A Fourth-Order Derivation for Smoothed Particle Hydrodynamics to Model Thermodynamically-based Phase Decomposition, III International Conference on Particle-Based Methods. Fundamentals and Applications, Particles 2013, Stuttgart, Germany, ISBN: 978-84-941531-8-1 (18.-20.09.2013)
Hirschler, M., Huber, M., Säckel, W. and Nieken, U.
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Analysis and numerics for nonclassical wave fronts in porous media. Doctoral thesis, University of Stuttgart, Germany, 2013
Kissling, F.
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Carbon-dioxide storage and phase transitions: on the numerical modelling of injection and leakage. Proceedings in Applied Mathematics and Mechanics, 13, 195–196, 2013
Häberle, K. and Ehlers, W.
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Chaos expansion based Bootstrap filter to calibrate CO2 injection models, Energy Procedia, Elsevier, N.40, 398-407, 2013
Oladyshkin, S., Schröder, P., Class, H. and Nowak, W.
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Colloid transport, retention, and remobilization during two-phase flow; micro-model investigation and modeling. Doctoral thesis, Utrecht University, The Netherlands, 2013
Zhang, Q.
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Ein gitterfreies Berechnungsverfahren zur Simulation von Koaleszenz in Mehrphasensystemen, Chem-Ing-Tech, 85: 1099-1106, 2013
Hirschler, M., Keller, F., Huber, M., Säckel, W. and Nieken, U.
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Low emission conversion of fossil fuels with simultaneous or consecutive storage of carbon dioxide. Doctoral thesis, Delft University of Technology, The Netherlands, 2013
Eftekhari, A.A.
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Model coupling for multiphase flow inporousmedia. Advances in WaterResources 51 (2013) 52-66
Helmig, R., Flemisch, B., Wolff, M., Ebigbo, A. and Class, H.
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Modeling of Phase Decomposition Using a Fourth-Order Derivation for SPH, 8th International SPHERIC Workshop, Trondheim, Norway (04.-06.06.2013)
Hirschler, M., Huber, M., Säckel, W. and Nieken, U.
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Modeling the dynamics of partial wetting, III International Conference on Particle-Based Methods. Fundamentals and Applications, Particles 2013, Stuttgart, Germany, ISBN: 978-84-941531-8-1 (18.-20.09.2013)
Huber, M., Säckel, W., Hirschler, M., Hassanizadeh, S.M. and Nieken, U.
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Multi-point flux approximation L-method in 3D: Numerical convergence and application to two-phase flow through porous media. In: Bastian, P., Kraus, J., Scheichl, R. & Wheeler, M. (eds.): Radon Series on Computational and Applied Mathematics 12. De Gruyter, 7, 2013
Wolff, M., Cao, Y., Flemisch, B., Helmig, R. and Wohlmuth, B.
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Non-multi-Gaussian spatial structures: process-driven natural genesis, manifestation, modeling approaches, and influences on dependent processes. Doctoral thesis, University of Stuttgart, Germany, 2013
Guthke, P.
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Numerical Investigation of Microbially Induced Calcite Precipitation as a Leakage Mitigation Technology. Energy Procedia 40, (2013) 392-397
Hommel, J., Cunningham, A.B., Helmig, R., Ebigbo, A. and Class, H.
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On the singular limit of a two-phase flow equation with heterogeneities and dynamic capillary pressure. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, WILEY-VCH Verlag, 2013
Kissling, F. and Karlsen, K.H.
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Particle simulation of granular media and homogenisation towards continuum quantities. Proceedings in Applied Mathematics and Mechanics, 13, 575-576, 2013
Bidier, S. and Ehlers, W.
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Universal Scaling of Spontaneous Imbibition for Arbitrary Petrophysical Properties: Water-Wet and Mixed-Wet States and Handy’s Conjecture, Journal of Petroleum Science and Engineering 101, 2013
Schmid, K.S. and Geiger, S.
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Volume reformulation of spatially varying interactions using the example of moving contact lines for a complete surface tension description, 8th International SPHERIC Workshop, Trondheim, Norway (04.-06.06.2013)
Huber, M., Säckel, W., Hirschler, M., Hassanizadeh, S.M. and Nieken, U.
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A method for implementing Dirichlet and third-type boundary conditions in PTRW simulations, Water Resour. Res., 50 (2014)
Koch, J. and Nowak, W.
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A POD-EIM reduced two-scale model for crystal growth, Advances in Computational Mathematics, 2014
Redeker, M.and Haasdonk, B.
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Adaptive modelling of compositional multi-phase flow with capillary pressure. Doctoral thesis, University of Stuttgart, Germany, 2014
Faigle, B.
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Adaptive two-scale models for processes with evolution of microstructures. Doctoral thesis, University of Stuttgart, Germany, 2014
Redeker, M.
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An Application of the Cahn- Hilliard Approach to Smoothed Particle Hydrodynamics, Math. probl. eng., vol. 2014
Hirschler, M., Huber, M., Säckel, W., Kunz, P. and Nieken, U.
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Chemical osmosis in two-phase flow and salinity-dependent capillary pressures in rocks with microporosity, Wat. Res. Res.
Schmid, K.S., Groß, J. and Helmig, R.
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Comparison between a homo- and a hetero-segmented group contribution approach based on the perturbed-chain polarstatistical associating fluid theory equation of state, Ind. Eng. Chem. Res, 53(38), 14854-64, 2014
Sauer, E., Stavrou, M. and Groß, J.
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Constitutive relation for the mass transfer during a gas-liquid phase transition in porous media. Proceedings in Applied Mathematics and Mechanics, 14, 445–446, 2014
Häberle, K. and Ehlers, W.
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Efficient multiphysics modelling with adaptive grid-refinement using a MPFA method. Computational Geosciences 18, 625–636, 2014
Faigle, B., Helmig, R., Aavatsmark, I. and Flemisch, B.
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Localisation in granular media: Particle approach, homogenisation and continuum modelling. Proceedings in Applied Mathematics and Mechanics, 14, 575-576, 2014
Bidier, S. and Ehlers, W.
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Modelling the impact of heterogeneous rootzone water distribution on the regulation of transpiration by hormone transport and/or hydraulic pressures, Plant and Soil Journal 2014
Huber, K., Vanderborght J., Javaux, M., Schröder, N., Dodd, I.C., Vereecken, H.
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Particle-based modelling and computational homogenisation of granular media. Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI), 2014
Bidier, S. and Ehlers, W.
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Process Simulation of an Adsorption Chiller: True Moving Bed Approximation, Chemie Ingenieur Technik, 86(1-2), 112-118, 2014
Günther, P., Kunz, P., Stierle, R., Eigenberger, G. and Nieken, U.
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Saturation overshoot and hysteresis for twophase flow in porous media, The European Physical Journal Special Topics 223, 2323-2338, 2014
Hilfer, R. and Steinle, R.
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Simulation, identification and characterization of contaminant source architectures in the subsurface. Doctoral thesis, University of Stuttgart, Germany, 2014
Koch, J.
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Theory and numerical applications of compositional multi-phase flow in porous media. Doctoral thesis, University of Stuttgart, Germany, 2014
Lauser, A.
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A Multi-objective Optimization Concept for Risk-based Early-warning Monitoring Networks in Well Catchments, Procedia Environmental Sciences, 25, 191- 198, 2015
Nowak, W., Bode, F. and Loschko, M.
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A revised model for microbially induced calcite precipitation: Improvements and new insights based on recent experiments. Water Resources Research 51 (2015) 3695-3715
Hommel, J., Lauchnor, E., Phillips, A., Gerlach, R., Cunningham, A.B., Helmig, R., Ebigbo, A. and Class, H.
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An XFEM-based model for fluid flow in fractured porous media. Doctoral thesis, University of Stuttgart, Germany, 2015
Schwenck, N.
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Droplet dynamics: Comparison of Smoothed Particle Hydrodynamics and experimental results, 7th International Berlin Workshop on Transport Phenomena with Moving Boundaries and More, Fortschr. Ber. VDI Reihe 3 Nr. 947. Düsseldorf, VDI Verlag 2015, ISBN 978-3-18-394703-4 (30.-31.10.2014)
Hirschler, M., Kunz, P., Säckel, W., Huber, M. and Nieken, U.
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Free-flow-porous-media coupling for evaporation-driven transport and precipitation of salt, Transport in Porous Media, 2015, 110(2):251- 28
Jambhekar, V., Helmig, R., Schröder, N. and Shokri, N.
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Grain-scale-based simulation of granular material. Proceedings in Applied Mathematics and Mechanics, 15, 449-450, 2015
Bidier, S.andEhlers, W.
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Modeling of quantitative droplet dynamics with coalescence-bouncing transition in a pseudo-single-phase system using ISPH and WCSPH, 10th International SPHERIC Workshop, Parma, Italy (16.-18.06.2015)
Hirschler, M., Huber, M., Oger, G., Kunz, P., Le Touzé, D. and Nieken, U.
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Multi-physics modeling of non-isothermal compositional flow on adaptive grids, Computer Methods in Applied Mechanics and Engineering 292, 1, 16-34, 2015
Faigle, B., Ahmed, M.E., Helmig, R., Becker, B., Flemisch, B. and Geiger, S.
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Novel approach for modeling kinetic interface-sensitive (KIS) tracers with respect to time-dependent interfacial area change for the optimization of supercritical carbon dioxide injection into deep saline aquifers, International Journal of Greenhouse Gas Control 33 (2015) 145-153
Tatomir, A., Schaffer, M., Kissinger, A., Hommel, J., Nuske, P., Licha, T., Helmig, R. and Sauter, M.
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Numerical Modelling of Evaporation in a Ceramic Layer in the Tape Casting Process, 13th International Conference of Numerical Analysis and Applied Mathematics, 23.-29. September 2015, Rodos Palace Hotel, Rhodes, Greece
Jabbari, M., Jambhekar, V., Hattel, J. and Helmig, R.
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Numerical Modelling of the Flow in the Resin Infusion Process on the REV Scale: A Feasibility Study, 13th International Conference of Numerical Analysis and Applied Mathematics, 23.-29. September 2015, Rodos Palace Hotel, Rhodes, Greece
Jabbari, M., Jambhekar, V., Gersborg, A.V., Spangenberg, J., Hattel, J.andHelmig, R.
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Predicting DNAPL mass discharge and contaminated site longevity probabilities: Conceptual model and high-resolution stochastic simulation, Water Resour. Res., 51 (2015)
Koch, J. and Nowak, W.
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Random Mixing - An approach to inverse modeling for groundwater flow and transport problems. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2015
Bárdossy, A. and Hörning, S.
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The Computation of Nonclassical Shock Waves in Porous Media with a Heterogeneous Multiscale Method: The Multidimensional Case. Multiscale Model. Simul., 2015, 13 no. 4, 1507-1541
Kissling, F. and Rohde, C.
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Thermodynamically consistent description of mass transfer in porous media by a singular surface. Proceedings in Applied Mathematics and Mechanics, 15, 391–382, 2015
Häberle, K. and Ehlers, W.
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Transport interactions between gas and water in thin hydrophobic porous layers. Doctoral thesis, University of Stuttgart, Germany, 2015
Dwenger, S.
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Effect of Turbulence and Roughness on Coupled Porous- Medium/Free Flow Exchange Processes. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Fetzer, T., Smits, K.M. and Helmig, R.
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Gaussian and non-Gaussian inverse modeling of groundwater flow using copulas and random mixing, Water Resources Research, 52, 2016
Bárdossy, A. and Hörning, S.
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Identification of contaminant source architectures—A statistical inversion that emulates multiphase physics in a computationally practicable manner, Water Resour. Res., 52 (2016)
Koch, J.and Nowak, W.
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Interfacial mass transfer during gas-liquid phase change in deformable porous media with heat transfer. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Ehlers, W. and Häberle, K.
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Investigating the influence of the initial biomass distribution and injection strategies on biofilmmediated calcite precipitation in porous media. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Hommel, J., Lauchnor, E., Gerlach, R., Cunningham, A.B., Ebigbo, A., Helmig, R. and Class, H.
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Influence of Initial Conditions on Propagation, Growth and Decay of Saturation Overshoot, Transport in Porous Media 111, 369 (2016)
Steinle, R. and Hilfer, R.
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Influence of orifice type and wetting properties on bubble formation at bubble column reactors, Chemical Engineering Sciences 152 (2016) 151-162
Huber, M., Dobesch, D., Kunz, P., Hirschler, M., Nieken, U.
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Kinetic approach to model reactive transport and mixed salt precipitation in a coupled free-flow-porous-media system. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Jambhekar, V., Mejri, E., Schröder, N., Helmig, R. and Shokri, N.
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Modeling biogeochemical and mass transport processes in the subsurface: investigation of microbially induced calcite precipitation. Doctoral thesis, University of Stuttgart, Germany, 2016
Hommel, J.
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Non-Monotonic Travelling Wave Fronts in a System of Fractional Flow Equations from Porous Media. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Hilfer, R., Hönig, O., Doster, F. and Zegeling, P.
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Numerical Investigation on the Benefits of Preheating for an Increased Thermal Radius of Influence during Steam Injection in Saturated Soil. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Weishaupt, K., Bordenave, A., Attei, O. and Class, H.
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On the physically based modeling of surface tension and moving contact lines with dynamic contact angles on the continuum scale. Journal of Computational Physics, 310 (2016), 459–477
Huber, M., Keller, F., Säckel, W., Hirschler, M., Kunz, P., Hassanizadeh, S.M. and Nieken, U.
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Open Boundary Conditions for ISPH and their Application to Micro-Flow. Journal of Computational Physics, 2016
Hirschler, M., Kunz, P., Huber, M., Hahn, F. and Nieken, U.
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Optimization for early-warning monitoring networks in well catchments should be multi-objective, risk-prioritized and robust against uncertainty. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Bode, F., Nowak, W. and Loschko, M.
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Study of multi-phase flow in porous media: Comparison of SPH simulations with micro-model experiments. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Kunz, P., Zarikos, I.M., Karadimitriou, N.K., Huber, M., Nieken, U. and Hassanizadeh, S.M.
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Upscaling of a Tri-Phase Phase-Field Model for Precipitation in Porous Media, IMA J. Appl. Math. 81, Issue 5, 1 October 2016, Pages 898–939
Redeker, M., Rohde, C., Pop, I.
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Volume-based modelling of fault reactivation in porous media using a visco-elastic proxy model. In: Special Issue “Nonlinearities and upscaling in porous media”, Transport in Porous Media, 2016
Beck, M., Seitz, G., and Class, H.