Abstract
An algebraic dynamic multilevel method (ADM) is developed for fully-implicit (FIM) simulations of multiphase flow in heterogeneous porous media with strong non-linear physics. The fine-scale resolution is defined based on the heterogeneous geological one. Then, ADM constructs a space-time adaptive FIM system on a dynamically defined multilevel nested grid. The multilevel resolution is defined using an error estimate criterion, aiming to minimize the accuracy-cost trade-off. ADM is algebraically described by employing sequences of adaptive multilevel restriction and prolongation operators. Finite-volume conservative restriction operators are considered whereas different choices for prolongation operators are employed for different unknowns. The ADM method is applied to challenging heterogeneous test cases with strong nonlinear heterogeneous capillary effects. It is illustrated that ADM provides accurate solution by employing only a fraction of the total number of fine-scale grid cells. ADM is an important advancement for multiscale methods because it solves for all coupled unknowns (here, both pressure and saturation) simultaneously on arbitrary adaptive multilevel grids. At the same time, it is a significant step forward in the application of dynamic local grid refinement techniques to heterogeneous formations without relying on upscaled coarse-scale quantities
Original language | English |
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Title of host publication | 15th European Conference on the Mathematics of Oil Recovery |
Subtitle of host publication | Amsterdam, Netherlands |
Publisher | EAGE |
Pages | 1-11 |
Number of pages | 11 |
ISBN (Electronic) | 9462821933, 9789462821934 |
Publication status | Published - 2016 |
Event | ECMOR XV: 15th European Conference on the Mathematics of Oil Recovery - Amsterdam, Netherlands Duration: 29 Aug 2016 → 1 Sept 2016 https://www.eage.org/event/?eventid=1416 |
Conference
Conference | ECMOR XV |
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Abbreviated title | ECMOR XV |
Country/Territory | Netherlands |
City | Amsterdam |
Period | 29/08/16 → 1/09/16 |
Internet address |