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Title: Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization

Authors:
ORCiD logo;
Publication Date:
Sponsoring Org.:
USDOE
OSTI Identifier:
1397822
Grant/Contract Number:
FG02-04ER25617
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 331; Journal Issue: C; Related Information: CHORUS Timestamp: 2017-10-04 22:13:46; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Country of Publication:
United States
Language:
English

Citation Formats

Lee, Sanghyun, and Wheeler, Mary F. Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. United States: N. p., 2017. Web. doi:10.1016/j.jcp.2016.10.072.
Lee, Sanghyun, & Wheeler, Mary F. Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization. United States. doi:10.1016/j.jcp.2016.10.072.
Lee, Sanghyun, and Wheeler, Mary F. Wed . "Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization". United States. doi:10.1016/j.jcp.2016.10.072.
@article{osti_1397822,
title = {Adaptive enriched Galerkin methods for miscible displacement problems with entropy residual stabilization},
author = {Lee, Sanghyun and Wheeler, Mary F.},
abstractNote = {},
doi = {10.1016/j.jcp.2016.10.072},
journal = {Journal of Computational Physics},
number = C,
volume = 331,
place = {United States},
year = {Wed Feb 01 00:00:00 EST 2017},
month = {Wed Feb 01 00:00:00 EST 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1016/j.jcp.2016.10.072

Citation Metrics:
Cited by: 2works
Citation information provided by
Web of Science

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  • A priori error estimates for Galerkin methods for numeric approximation of a coupled quasilinear system and appropriate Neumann boundary and initial conditions are considered. Equations of this type arise in models for the miscible displacement of one incompressible fluid by another in a porous medium. Estimates for both continuous time and fully discrete time Galerkin methods are presented.
  • The displacement of waterflood residual oil by a solvent drive has been studied with scaled physical models of a line drive. This work was a first step in an overall study of the displacement of residual oil by CO/sub 2/. Some results of the subsequent study are presented for comparison. The usefulness and limitations of scaled physical models for studying the behavior of solvent displacement is analyzed, and it is concluded that such models are very useful for elaborating the mechanism of such a recovery process. Also, because the results obtained with such models correspond with field results, we believemore » that certain factors, which of necessity have been neglected in the scaling, play only a minor role in the performance of the process. This study concludes that the efficiency of CO/sub 2/ to recover residual crude oil is influenced primarily by gravity and viscous instabilities resulting from CO/sub 2/'s low density and viscosity in comparison to water. It does not appear that CO/sub 2/ is any more efficient, in terms of reservoir volumes, than a hydrocarbon-miscible solvent.« less
  • Miscible flooding of oil from porous sedimentary formations by the injection of high-pressure solvents incorporates a complex interaction of heterogeneity, fingering, multiphase flow, and phase behavior. The objective of this work is to identify pore-scale mechanisms that lead to formation of a residual oil saturation in so-called miscible floods in the absence of water shielding. Oil displacements are carried out in two high-pressure, two-dimensional, transparent micromodels, which are simplified analogs of porous rocks. Displacement mechanisms are visualized for different solvents. Results show that the interaction of bypassing and phase behavior can lead to an immiscible residual with so-called first-contact misciblemore » solvents. An equimolar mixture of ethane, propane, and n-butane (C[sub 2]C[sub 3]C[sub 4]) recovers all the oil in one-dimensional flow, but can leave a nonzero residual in dead-end pores of micromodels. Ethane develops multicontact miscibility with this oil in one-dimensional flow. Three hydrocarbon phases appear during the oil displacement by the methane-diluted equimolar mixture of ethane, propane, and n-butane. Capillary-driven flow recovers oil out of dead-end pores in ethane- and methane-diluted equimolar C[sub 2]C[sub 3]C[sub 4] displacements. The interaction of viscous fingering and phase behavior can also contribute to miscible flood residuals in multiple contact displacements.« less
  • Effective numerical simulation of many EOR problems requires very accurate approximation of the Darcy velocities of the respective fluids. In this paper the authors describe a new method for the accurate determination of the Darcy velocity of the total fluid in the miscible displacement of one incompressible fluid by another in a porous medium. The new mixed finite-element procedure solves for both the pressure and velocity of the total fluid simultaneously as a system of first-order partial differential equations. By solving for u=(-K/..mu..) p as one term, we minimize the difficulties occurring in standard methods caused by differentiation or differencingmore » of p and multiplication by rough coefficients k/..mu... By using mixed finite elements for the pressure equation coupled in a sequential method with a finite element procedure for the concentration of the invading fluid, we are able to treat a variety of problems with variable permeabilities, different mobility ratios, and a fairly general location of injection and production wells. Mixed finite-element methods also produce minimal grid-orientation effect. Computational results on a variety of two-dimensional (2D) problems are presented.« less