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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Velocity postprocessing schemes for multiscale mixed methods applied to contaminant transport in subsurface flows

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Author(s):
Guiraldello, Rafael T. [1] ; Ausas, Roberto F. [1] ; Sousa, Fabricio S. [1] ; Pereira, Felipe [2] ; Buscaglia, Gustavo [1]
Total Authors: 5
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Av Trabalhador Sao Carlense 400, BR-13566590 Sao Carlos, SP - Brazil
[2] Univ Texas Dallas, Dept Math Sci, 800 W Campbell Rd, Richardson, TX 75080 - USA
Total Affiliations: 2
Document type: Journal article
Source: COMPUTATIONAL GEOSCIENCES; v. 24, n. 3 FEB 2020.
Web of Science Citations: 1
Abstract

We propose two postprocessing procedures (Patch method and Stitch method) to recover local conservation of velocity fields produced by multiscale approximations that are only conservative in coarse scales. These procedures operate on small overlapping regions and are designed to be implemented in parallel, which makes them relatively inexpensive. We investigate the applicability of such methods when tested on single-phase flow problems using the Multiscale Robin Coupled Method (MRCM) in highly heterogeneous permeability fields for modeling the contaminant transport in the subsurface. Numerical simulations are presented aiming to illustrate and compare the performance of the new methods with a standard procedure, the Mean method, in terms of accuracy in contaminant concentration. We show that for a collection of permeability fields taken as log-normal fields, the new postprocessing procedures provide similar or better accuracy than the Mean method. Then, we turn our attention to flows in high-contrast channelized porous formations, where the new methods robustly yield more accurate results and should thus be favored. (AU)

FAPESP's process: 13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry
Grantee:Francisco Louzada Neto
Support Opportunities: Research Grants - Research, Innovation and Dissemination Centers - RIDC
FAPESP's process: 15/02649-0 - New methods for microscale multiphase flows: application to separation processes
Grantee:Fabrício Simeoni de Sousa
Support Opportunities: Regular Research Grants
FAPESP's process: 16/08115-0 - Implicit multiscale methods for multiphase flows in porous media
Grantee:Fabrício Simeoni de Sousa
Support Opportunities: Scholarships abroad - Research