Petroleum Science >2020,??Issue 1:??1-15 DOI: https://doi.org/10.1007/s12182-019-00382-4
Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence Open?Access
文章信息
作者：Nicolás Echebarrena, Pablo D. Mininni, Gustavo A. Moreno
作者單位：
YPF-Technology, Ensenada, Argentina; CONICET, Buenos Aires, Argentina; Physics Department, IFIBA, School of Exact and Natural Sciences, University of Buenos Aires, CONICET, Buenos Aires, Argentina;
投稿時(shí)間：2018-12-08
引用方式：Echebarrena, N., Mininni, P.D. & Moreno, G.A. Pet. Sci. (2019). https://doi.org/10.1007/s12182-019-00382-4
文章摘要
We apply a proper orthogonal decomposition (POD) to data stemming from numerical simulations of a fingering instability in a multiphase flow passing through obstacles in a porous medium, to study water injection processes in the production of hydrocarbon reservoirs. We show that the time evolution of a properly defined flow correlation length can be used to identify the onset of the fingering instability. Computation of characteristic lengths for each of the modes resulting from the POD provides further information on the dynamics of the system. Finally, using numerical simulations with different viscosity ratios, we show that the convergence of the POD depends non-trivially on whether the fingering instability develops or not. This result has implications on proposed methods to decrease the dimensionality of the problem by deriving reduced dynamical systems after truncating the system’s governing equations to a few POD modes.
關(guān)鍵詞
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Two-phase flow, Empirical mode decomposition, Viscous fingering, Porous media