Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence

Abstract 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 ev...

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Autores principales:	Nicolás Echebarrena, Pablo D. Mininni, Gustavo A. Moreno
Formato:	article
Lenguaje:	EN
Publicado:	KeAi Communications Co., Ltd. 2019
Materias:	Two-phase flow Empirical mode decomposition Viscous fingering Porous media Science Q Petrology QE420-499
Acceso en línea:	https://doaj.org/article/ddaa194582d744ba996a1ff04cf32932
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spelling	oai:doaj.org-article:ddaa194582d744ba996a1ff04cf329322021-12-02T11:24:56ZEmpirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence10.1007/s12182-019-00382-41672-51071995-8226https://doaj.org/article/ddaa194582d744ba996a1ff04cf329322019-10-01T00:00:00Zhttp://link.springer.com/article/10.1007/s12182-019-00382-4https://doaj.org/toc/1672-5107https://doaj.org/toc/1995-8226Abstract 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.Nicolás EchebarrenaPablo D. MininniGustavo A. MorenoKeAi Communications Co., Ltd.articleTwo-phase flowEmpirical mode decompositionViscous fingeringPorous mediaScienceQPetrologyQE420-499ENPetroleum Science, Vol 17, Iss 1, Pp 153-167 (2019)
institution	DOAJ
collection	DOAJ
language	EN
topic	Two-phase flow Empirical mode decomposition Viscous fingering Porous media Science Q Petrology QE420-499
spellingShingle	Two-phase flow Empirical mode decomposition Viscous fingering Porous media Science Q Petrology QE420-499 Nicolás Echebarrena Pablo D. Mininni Gustavo A. Moreno Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence
description	Abstract 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.
format	article
author	Nicolás Echebarrena Pablo D. Mininni Gustavo A. Moreno
author_facet	Nicolás Echebarrena Pablo D. Mininni Gustavo A. Moreno
author_sort	Nicolás Echebarrena
title	Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence
title_short	Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence
title_full	Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence
title_fullStr	Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence
title_full_unstemmed	Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence
title_sort	empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence
publisher	KeAi Communications Co., Ltd.
publishDate	2019
url	https://doaj.org/article/ddaa194582d744ba996a1ff04cf32932
work_keys_str_mv	AT nicolasechebarrena empiricalmodedecompositionofmultiphaseflowsinporousmediacharacteristicscalesandspeedofconvergence AT pablodmininni empiricalmodedecompositionofmultiphaseflowsinporousmediacharacteristicscalesandspeedofconvergence AT gustavoamoreno empiricalmodedecompositionofmultiphaseflowsinporousmediacharacteristicscalesandspeedofconvergence
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Empirical mode decomposition of multiphase flows in porous media: characteristic scales and speed of convergence

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