GRK 1398:  Non-Linearities and Upscaling in Porous Media

• Subject Area: Water Research
• Term: from 2007 to 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 20025736

• Final Report Year: 2016

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

• CO2 leakage through an abandoned well: problem-oriented benchmarks. Computational Geosciences 11, 103-115, 2007
  Ebigbo, A., Class, H. and Helmig, R.
  
• 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.
  
• 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.
  
• 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.
  
• 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.
  
• 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
  
• 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.
  
• 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.
  
• Geostatistical interpolation using copulas. Water Resources Research, 44, W07412, 2008
  Bárdossy, A. and Li, J.
  (See online at https://dx.doi.org/10.1029/2007WR006115)
• Macroscopic capillarity in two phase flow in porous media, CMWR Conference, San Francisco, CA, USA, 2008
  Doster, F., Zegeling, P. and Hilfer, R.
  
• Numerical studies on a new theory on multiphase flow in porous media, DPG annual meeting, Berlin, Germany, 2008
  Doster, F. and Hilfer, R.
  
• 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.
  
• 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.
  
• 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.
  
• 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.
  
• Application of FFT-based Algorithms for Large-Scale Universal Kriging Problems. Mathematical Geosciences, 2009
  Fritz, J., Nowak, W. and Neuweiler, I.
  (See online at https://dx.doi.org/10.1007/s11004-009-9220-x)
• 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.
  (See online at https://dx.doi.org/10.1002/num.20525)
• 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.
  
• Hysteresis in twophase flow in porous media - a numerical experiment, DPG annual meeting, Dresden, Germany, 2009
  Doster, F., Zegeling, P. and Hilfer, R.
  
• Kinetic Decomposition for Singular Limits of Non-Local Conservation Laws, J. Diff. Eq. 247(12), 2009
  Kissling, F., LeFloch, P. G. and Rohde, C.
  
• 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.
  
• 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.
  
• 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.
  
• A Multiphasic Model Describing the CO2 Injection Problem. Proceedings in Applied Mathematics and Mechanics 10, 2010
  Komarova, I. and Ehlers, W.
  
• 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.
  (See online at https://dx.doi.org/10.1243/09544100JAERO651)
• 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.
  (See online at https://dx.doi.org/10.1029/2009WR008217)
• Application of copulas as a new geostatistical tool. Doctoral thesis, University of Stuttgart, Germany, 2010
  Li, J.
  
• 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.
  
• 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.
  (See online at https://dx.doi.org/10.1029/2007WR006401)
• 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.
  (See online at https://dx.doi.org/10.1016/j.advwatres.2010.04.004)
• 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.
  
• Numerical solutions of ageneralized theory for macroscopic capillarity, Phys. Rev. E 81(3), 036307, 2010
  Doster, F., Zegeling, P.A. and Hilfer, R.
  
• Percolation as a basic concept for macroscopic capillarity, Transport in Porous Media 82(3), 507-519, 2010
  Hilfer, R. and Doster, F.
  (See online at https://dx.doi.org/10.1007/s11242-009-9395-0)
• Robust numerical algorithms based on corrected operator splitting for two-phase flow in porous media. Doctoral thesis, University of Stuttgart, Germany, 2010
  Cao, Y.
  
• The Computation of Nonclassical Shock Waves with a Heterogeneous Multiscale Method, Netw. Heterog. Media, 2010, 5, 661-674
  Kissling, F. and Rohde, C.
  (See online at https://dx.doi.org/10.3934/nhm.2010.5.661)
• A Copula based observation network design approach. Environmental Modelling & Software 26, 1349-1357, 2011
  Li, J., Bárdossy, A., Guenni, L. and Liu, M.
  
• 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.
  (See online at https://dx.doi.org/10.1016, j.advwaters.2011.04.021)
• 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.
  
• 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.
  
• Die Bedeutung perkolierender und nichtperkolierender Phasen bei Mehrphasenströmungen in porösen Medien auf Laborskala. Doctoral thesis, University of Stuttgart, Germany, 2011
  Doster, F.
  
• 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.
  
• 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.
  (See online at https://dx.doi.org/10.1029/2011WR010612)
• Generalized Buckley-Leverett theory for two-phase flow in porous media, New J. Phys. 13 123030, 2011
  Doster, F. and Hilfer, R.
  
• Influence of soil structure and root water uptake on flow in the unsaturated zone. Doctoral thesis, University of Stuttgart, Germany, 2011
  Kuhlmann, A.
  
• 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.
  
• 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.
  
• 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.
  
• 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.
  (See online at https://doi.org/10.1029/2011WR011714)
• 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.
  
• 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.
  (See online at https://doi.org/10.1029/2012GL051302)
• 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.
  (See online at https://doi.org/10.1080/13658816.2011.641969)
• 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.
  (See online at https://doi.org/10.1016/j.jcp.2012.12.017)
• Horizontal flows and capillarity driven redistribution in porous media, Phys. Rev. E 86(1), 016317, 2012
  Doster, F., Hönig, O.and Hilfer, R.
  (See online at https://doi.org/10.1103/PhysRevE.86.016317)
• 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.
  (See online at https://doi.org/10.1029/2011WR010651)
• Laufende Wellenlösungen von Systemen nichtlinearer partieller Differentialgleichungen am Beispiel von Mehrphasenströmungen in porösen Medien. Doctoral thesis, University of Stuttgart, Germany, 2012
  Hönig, O.
  
• 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.
  (See online at https://doi.org/10.1016/j.cocis.2012.01.003)
• 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.
  (See online at https://doi.org/10.1007/s11242-011-9844-4)
• Nonmonotone saturation profiles for hydrostatic equilibrium in homogeneous porous media, Vadoze Zone J., 11(3), 2012
  Hilfer, R., Doster, F. and Zegeling, P.A.
  (See online at https://doi.org/10.2136/vzj2012.0021)
• Numerical investigations on two-phase flow in polymer electrolyte fuel cells. Doctoral thesis, Utrecht University, The Netherlands, 2012
  Qin, C.Z.
  
• 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.
  
• 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.
  (See online at https://doi.org/10.5194/hess-16-357-2012)
• 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.
  (See online at https://doi.org/10.1016/j.advwatres.2012.03.014)
• 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.
  (See online at https://doi.org/10.2136/vzj2011.0193)
• Universal Scaling of Spontaneous Imbibition for Water Wet Rocks, Water Resources Research 48, 2012
  Schmid, K.S. and Geiger, S.
  (See online at https://doi.org/10.1029/2011WR011566)
• 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.
  (See online at https://doi.org/10.1016/j.jcp.2012.12.025)
• 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.
  
• Analysis and numerics for nonclassical wave fronts in porous media. Doctoral thesis, University of Stuttgart, Germany, 2013
  Kissling, F.
  
• 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.
  
• 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.
  
• Colloid transport, retention, and remobilization during two-phase flow; micro-model investigation and modeling. Doctoral thesis, Utrecht University, The Netherlands, 2013
  Zhang, Q.
  
• 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.
  (See online at https://dx.doi.org/10.1002/cite.201200211)
• 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.
  
• Model coupling for multiphase flow inporousmedia. Advances in WaterResources 51 (2013) 52-66
  Helmig, R., Flemisch, B., Wolff, M., Ebigbo, A. and Class, H.
  (See online at https://doi.org/10.1016/j.advwatres.2012.07.003)
• 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.
  
• 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.
  
• 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.
  
• 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.
  
• 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.
  
• 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.
  (See online at https://doi.org/10.1002/zamm.201200141)
• 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.
  
• 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.
  (See online at https://doi.org/10.1016/j.petrol.2012.11.015)
• 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.
  
• A method for implementing Dirichlet and third-type boundary conditions in PTRW simulations, Water Resour. Res., 50 (2014)
  Koch, J. and Nowak, W.
  (See online at https://doi.org/10.1002/2013WR013796)
• A POD-EIM reduced two-scale model for crystal growth, Advances in Computational Mathematics, 2014
  Redeker, M.and Haasdonk, B.
  (See online at https://doi.org/10.1007/s10444-014-9367-y)
• Adaptive modelling of compositional multi-phase flow with capillary pressure. Doctoral thesis, University of Stuttgart, Germany, 2014
  Faigle, B.
  
• Adaptive two-scale models for processes with evolution of microstructures. Doctoral thesis, University of Stuttgart, Germany, 2014
  Redeker, M.
  
• 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.
  (See online at https://doi.org/10.1155/2014/694894)
• 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.
  (See online at https://doi.org/10.1002/2013WR013848)
• 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.
  (See online at https://doi.org/10.1021/ie502203w)
• 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.
  (See online at https://doi.org/10.1002/pamm.201410210)
• 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.
  (See online at https://doi.org/10.1007/s10596-014-9407-1)
• 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.
  (See online at https://doi.org/10.1002/pamm.201410275)
• 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.
  (See online at https://doi.org/10.1007/s11104-014-2188-4)
• 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.
  
• 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.
  (See online at https://dx.doi.org/10.1002/cite.201300073)
• 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.
  (See online at https://doi.org/10.1140/epjst/e2014-02267-x)
• Simulation, identification and characterization of contaminant source architectures in the subsurface. Doctoral thesis, University of Stuttgart, Germany, 2014
  Koch, J.
  
• Theory and numerical applications of compositional multi-phase flow in porous media. Doctoral thesis, University of Stuttgart, Germany, 2014
  Lauser, A.
  
• 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.
  (See online at https://doi.org/10.1016/j.proenv.2015.04.026)
• 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.
  (See online at https://doi.org/10.1002/2014WR016503)
• An XFEM-based model for fluid flow in fractured porous media. Doctoral thesis, University of Stuttgart, Germany, 2015
  Schwenck, N.
  
• 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.
  
• 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.
  (See online at https://doi.org/10.1007/s11242-015-0516-7)
• Grain-scale-based simulation of granular material. Proceedings in Applied Mathematics and Mechanics, 15, 449-450, 2015
  Bidier, S.andEhlers, W.
  (See online at https://doi.org/10.1002/pamm.201510215)
• 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.
  
• 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.
  (See online at https://doi.org/10.1016/j.cma.2014.11.030)
• 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.
  (See online at https://doi.org/10.1016/j.ijggc.2014.11.020)
• 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.
  (See online at https://doi.org/10.1063/1.4951796)
• 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.
  (See online at https://doi.org/10.1063/1.4951807)
• 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.
  (See online at https://doi.org/10.1002/2014WR015478)
• 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.
  (See online at https://doi.org/10.1007/s11242-015-0608-4)
• 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.
  (See online at https://doi.org/10.1137/120899236)
• 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.
  (See online at https://doi.org/10.1002/pamm.201510186)
• Transport interactions between gas and water in thin hydrophobic porous layers. Doctoral thesis, University of Stuttgart, Germany, 2015
  Dwenger, S.
  
• 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.
  (See online at https://doi.org/10.1007/s11242-016-0654-6)
• Gaussian and non-Gaussian inverse modeling of groundwater flow using copulas and random mixing, Water Resources Research, 52, 2016
  Bárdossy, A. and Hörning, S.
  (See online at https://doi.org/10.1002/2014WR016820)
• 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.
  (See online at https://doi.org/10.1002/2015WR017894)
• 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.
  (See online at https://doi.org/10.1007/s11242-016-0674-2)
• 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.
  (See online at https://doi.org/10.1007/s11242-015-0617-3)
• Influence of Initial Conditions on Propagation, Growth and Decay of Saturation Overshoot, Transport in Porous Media 111, 369 (2016)
  Steinle, R. and Hilfer, R.
  (See online at https://doi.org/10.1007/s11242-015-0598-2)
• 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.
  (See online at https://doi.org/10.1016/j.ces.2016.06.002)
• 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.
  (See online at https://doi.org/10.1007/s11242-016-0665-3)
• Modeling biogeochemical and mass transport processes in the subsurface: investigation of microbially induced calcite precipitation. Doctoral thesis, University of Stuttgart, Germany, 2016
  Hommel, J.
  
• 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.
  (See online at https://doi.org/10.1007/s11242-015-0618-2)
• 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.
  (See online at https://doi.org/10.1007/s11242-016-0624-z)
• 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.
  (See online at https://doi.org/10.1016/j.jcp.2016.01.030)
• 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.
  (See online at https://doi.org/10.1016/j.jcp.2015.12.024)
• 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.
  (See online at https://doi.org/10.1007/s11242-015-0586-6)
• 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.
  (See online at https://doi.org/10.1007/s11242-015-0599-1)
• 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.
  (See online at https://doi.org/10.1093/imamat/hxw023)
• 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.
  (See online at https://doi.org/10.1007/s11242-016-0663-5)