{"id":{"repo_id":"heid-diss","oai_identifier":"oai:archiv.ub.uni-heidelberg.de:4433"},"canonical_url":"https://search.dev.ndltd.org/etd/heid-diss/oai:archiv.ub.uni-heidelberg.de:4433","repository":{"repo_id":"heid-diss","name":"Universität Heidelberg","base_url":"http://archiv.ub.uni-heidelberg.de/volltextserver/cgi/oai2"},"display":{"title":"Numerical Simulation of Multiphase Flow in Fractured Porous Media","abstract":"Fractures provide preferred paths for flow and transport in many porous media. They have a significant influence on process behavior in groundwater remediation, reservoir engineering and safety analysis for waste repositories. We present a finite volume method for the numerical solution of the multiphase flow equations in fractured porous media. The capillary pressure is treated by an extended capillary pressure interface condition. The method is fully coupled and fully implicit and employs a mixed-dimensional formulation with lower dimensional elements in the fractures. The method features unstructured grids, adaptive refinement and multigrid methods. It is implemented for twodimensional and threedimensional complex problems with several million unknowns. Additionally, a discontinuous Galerkin method for the groundwater flow equation and its multigrid treatment is presented.","abstract_html":"Fractures provide preferred paths for flow and transport in many porous media. They have a significant influence on process behavior in groundwater remediation, reservoir engineering and safety analysis for waste repositories. We present a finite volume method for the numerical solution of the multiphase flow equations in fractured porous media. The capillary pressure is treated by an extended capillary pressure interface condition. The method is fully coupled and fully implicit and employs a mixed-dimensional formulation with lower dimensional elements in the fractures. The method features unstructured grids, adaptive refinement and multigrid methods. It is implemented for twodimensional and threedimensional complex problems with several million unknowns. Additionally, a discontinuous Galerkin method for the groundwater flow equation and its multigrid treatment is presented.","abstract_has_math":false,"creators":["Reichenberger, Volker"],"institution":"Universität Heidelberg","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Bastian, Peter"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2004,"date_issued":"2004-01-20","date_published":"2004-01-20","updated_at":"2026-07-24T02:29:42Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://www.ub.uni-heidelberg.de/archiv/4433","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Bastian, Peter"]},{"key":"dc:creator","label":"Author","values":["Reichenberger, Volker"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Universitätsbibliothek Heidelberg"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Universität Heidelberg"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Fractures provide preferred paths for flow and transport in many porous media. They have a significant influence on process behavior in groundwater remediation, reservoir engineering and safety analysis for waste repositories. We present a finite volume method for the numerical solution of the multiphase flow equations in fractured porous media. The capillary pressure is treated by an extended capillary pressure interface condition. The method is fully coupled and fully implicit and employs a mixed-dimensional formulation with lower dimensional elements in the fractures. The method features unstructured grids, adaptive refinement and multigrid methods. It is implemented for twodimensional and threedimensional complex problems with several million unknowns. Additionally, a discontinuous Galerkin method for the groundwater flow equation and its multigrid treatment is presented.","Klüfte stellen Hauptfließpfade in vielen porösen Medien dar und haben einen entscheidenden Einfluss auf Prozesse in der Bodensanierung, Erdölförderung und Sicherheitsanalyse für Endlager. Die vorliegende Arbeit stellt ein Finite-Volumen-Verfahren zur Behandlung der Mehrphasengleichungen in geklüfteten Medien vor. Der Kapillardruck an Heterogenitäten und an der Schnittstelle zwischen Kluft und Gesteinsmatrix wird mit einer erweiterten Kapillardruckbedingung erfasst. Das Verfahren ist voll gekoppelt und voll implizit und verwendet einen gemischtdimensionalen Ansatz, mit niederdimensionalen Elementen in der Kluft. Weiterhin verwendet die Methode unstrukturierte Gitter, adaptive Gitterverfeinerung und Mehrgitterverfahren. Das Verfahren ist für zweidimensionale und dreidimensionale Gebiete implementiert und parallelisiert und ist geeignet zur Simulation komplexer Anwendungen mit mehreren Millionen Unbekannten. Daneben wird ein Discontinuous Galerkin Verfahren für die Grundwassergleichung und dessen Behandlung mit Mehrgitterverfahren beschrieben."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["Numerical Simulation of Multiphase Flow in Fractured Porous Media","Numerische Simulation von Mehrphasenströmungen in geklüftet-porösen Medien"]}]}],"canonical_facts":{"dc:contributor":["Bastian, Peter"],"dc:creator":["Reichenberger, Volker"],"dc:description.abstract":["Fractures provide preferred paths for flow and transport in many porous media. They have a significant influence on process behavior in groundwater remediation, reservoir engineering and safety analysis for waste repositories. We present a finite volume method for the numerical solution of the multiphase flow equations in fractured porous media. The capillary pressure is treated by an extended capillary pressure interface condition. The method is fully coupled and fully implicit and employs a mixed-dimensional formulation with lower dimensional elements in the fractures. The method features unstructured grids, adaptive refinement and multigrid methods. It is implemented for twodimensional and threedimensional complex problems with several million unknowns. Additionally, a discontinuous Galerkin method for the groundwater flow equation and its multigrid treatment is presented.","Klüfte stellen Hauptfließpfade in vielen porösen Medien dar und haben einen entscheidenden Einfluss auf Prozesse in der Bodensanierung, Erdölförderung und Sicherheitsanalyse für Endlager. Die vorliegende Arbeit stellt ein Finite-Volumen-Verfahren zur Behandlung der Mehrphasengleichungen in geklüfteten Medien vor. Der Kapillardruck an Heterogenitäten und an der Schnittstelle zwischen Kluft und Gesteinsmatrix wird mit einer erweiterten Kapillardruckbedingung erfasst. Das Verfahren ist voll gekoppelt und voll implizit und verwendet einen gemischtdimensionalen Ansatz, mit niederdimensionalen Elementen in der Kluft. Weiterhin verwendet die Methode unstrukturierte Gitter, adaptive Gitterverfeinerung und Mehrgitterverfahren. Das Verfahren ist für zweidimensionale und dreidimensionale Gebiete implementiert und parallelisiert und ist geeignet zur Simulation komplexer Anwendungen mit mehreren Millionen Unbekannten. Daneben wird ein Discontinuous Galerkin Verfahren für die Grundwassergleichung und dessen Behandlung mit Mehrgitterverfahren beschrieben."],"dc:format.medium":["application/pdf"],"dc:publisher":["Universitätsbibliothek Heidelberg"],"dc:title":["Numerical Simulation of Multiphase Flow in Fractured Porous Media","Numerische Simulation von Mehrphasenströmungen in geklüftet-porösen Medien"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Universität Heidelberg"]},"updated_at":"2026-07-24T02:29:42Z"}