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Adaptive Pore Network Model With Localization Of Time-Step
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, ECMOR XVI - 16th European Conference on the Mathematics of Oil Recovery, Sep 2018, Volume 2018, p.1 - 19
Abstract
Pore scale simulation is used to study phenomena that cannot be reproduced by conventional Darcy-based simulators. Dynamic Pore Network Modeling simulators (PNM) are still relatively slow and constrained by small time-steps to simulate Representative Elementary Volumes (REV) and small scale physics in a reasonable time. In a previous work ( Regaieg et al., 2017 ), an adaptive approach has been proposed to localize the pressure computations only in viscous dominated regions and use a fast quasi-static algorithm for the rest of the domain. We propose to extend this adaptive pore network model by introducing three levels of pressure computations. The domain is divided into sub-networks. We introduce a first level of pressure computation solving fine-scale dynamics effects on local sub-networks. A second intermediate level of pressure computation is used to solve pressure interactions between the sub-networks. The third level is used to solve the pressure on the entire pore network and to update the boundary conditions of the sub-networks. We define automatic criteria to decide when intermediate or global pressure solutions are needed.
We first describe our adaptive pore network model with the different levels of pressure solution. Subsequently, we present several test cases of this algorithm for different viscosity ratios, injection rates and wettability scenarios. Finally, we report speed-ups obtained for simulations on networks of different sizes.