Multiphase Flow and Transport Processes in the Subsurface: A Contribution to the Modeling of Hydrosystems

By Rainer Helmig. 2011

1,078 citations recorded by the source corpus.

Subfields: Environmental Engineering, Mechanical Engineering, Ocean Engineering

View Paper: https://www.semanticscholar.org/paper/eafe7de808939557bf5f2bdcc758e2e112f6649b

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Citations in the corpus

Dynamic capillary effects in heterogeneous porous media (2007, background): “We start with the discussion of the static capillarypressure relationship, i.e., τ = 0, and recall the basic results, which are given in, e.g., [ 11 ].”
Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures (2010, neutral): “, in [6, 13, 15, 25].”
Mathematical study of a petroleum-engineering scheme (2003, background): “A review of the models for oil reservoir engineering may also be found in [10, 31].”
Numerical Solution of Richards' Equation: A Review of Advances and Challenges (2017, background): “are important usually demand a full two-phase formulation (Helmig, 2011; Smits et al., 2013), while more recent work on thermodynamically constrained averaging theory has focused on developing a consistent upscaling framework for deriving extensions to Richards’ equation (Bronson, 2014; Gray and”
Numerical methods for unsaturated flow with dynamic capillary pressure in heterogeneous porous media (2008, methodology): “Furthermore, there exist a plethora of methods applicable to two-phase flow formulation of unsaturated flow, see [25, 43, 22, 23, 21]; however, similarly to the case of Richards’ equation, those results have been formulated for transformed variables or for smooth regime(s).”
Modelling biofilm growth in the presence of carbon dioxide and water flow in the subsurface (2010, positive): “Both continua are treated as porous media in which the Darcy equation is valid (conditions for validity of the Darcy equation, e.g., low Reynolds numbers, can be found, e.g., in Helmig (1997)).”
Anisotropic Mesh Adaptivity and Control Volume Finite Element Methods for Numerical Simulation of Multiphase Flow in Porous Media (2015, background): “The main advantage is that it yields a mass-conservative velocity field while retaining the flexibility of the finite element approach (Bergamaschi et al. 1999; Helmig 1997; Geiger et al. 2004).”