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

Autor(es)

Guiraldello, Rafael T. ^[1] ; Ausas, Roberto F. ^[1] ; Sousa, Fabricio S. ^[1] ; Pereira, Felipe ^[2] ; Buscaglia, Gustavo ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: COMPUTATIONAL GEOSCIENCES; FEB 2020.
• Citações Web of Science: 0

Resumo

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)

• Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
• Beneficiário: José Alberto Cuminato
• Linha de fomento: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs
• Processo FAPESP: 16/08115-0 - Métodos multiescala implícitos para escoamentos multifásicos em meios porosos
• Beneficiário: Fabrício Simeoni de Sousa
• Linha de fomento: Bolsas no Exterior - Pesquisa
• Processo FAPESP: 15/02649-0 - Novos métodos para escoamentos multifásicos em microescala: aplicação em processos de separação
• Beneficiário: Fabrício Simeoni de Sousa
• Linha de fomento: Auxílio à Pesquisa - Regular