| Full text | |
| 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 multiscale domain decomposition methods for flows in porous media |
| 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 |