title: Two-Phase Compositional Flow Simulation with Persistent Variables creator: Cuveland, Rebecca de subject: ddc-510 subject: 510 Mathematics description: Carbon capture and storage (CSS) is a recently discussed new technology, aimed at allow- ing an ongoing use of fossil fuels while preventing the produced CO2 from being released into the atmosphere. A suitable mathematical model to simulate this process is com- positional multiphase flow with equilibrium phase exchange. It is able to represent the important process of solubility trapping. One of the big problems arising in two-phase two-component flow simulations is the disappearance of the nonwetting phase, where the saturation cannot be used as independent variable. In this thesis, a persistent variable formulation is presented, which has the important advantage that only one set of primary variables can be used for the biphasic as well as the monophasic case. Using a modified Newton solver, also developed in the course of this work, the convergence at the single-phase/two-phase interface can be greatly improved. The persistent variable formulation is implemented in the DUNE simulation framework with capillary pressure and nonwetting phase pressure as primary variables. The presented method is verified by numerical test simulations of CO2 injection in saline aquifers. A fine grid resolution for these large-scale simulations can only be achieved by the use of heavy parallelization. The numerical results for the recent MoMas benchmark agree with the output of other groups. For several test cases, grid convergence and scalability are analyzed numerically. The method scales well and converges with the optimal order of convergence. date: 2015 type: Dissertation type: info:eu-repo/semantics/doctoralThesis type: NonPeerReviewed format: application/pdf identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/18629/1/thesis_final.pdf identifier: DOI:10.11588/heidok.00018629 identifier: urn:nbn:de:bsz:16-heidok-186294 identifier: Cuveland, Rebecca de (2015) Two-Phase Compositional Flow Simulation with Persistent Variables. [Dissertation] relation: https://archiv.ub.uni-heidelberg.de/volltextserver/18629/ rights: info:eu-repo/semantics/openAccess rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html language: eng