19–22 May 2026
Europe/Paris timezone

Discontinuous Galerkin Method for Flow in Enlarged Fractured Carbonates

21 May 2026, 12:05
15m
Oral Presentation (MS07) Mathematical and numerical methods for multi-scale multi-physics, nonlinear coupled processes MS07

Speaker

Dr Marcio Murad (Laboratorio Nacional de Computacao Cientifica)

Description

We consider flow in carbonate reservoirs containing karstified layers, characterized by partially enlarged fractures and high-permeability conduits formed through superimposed chemical dissolution along fracture intersections. The computational framework is based on a discontinuous Galerkin (dG) formulation applied to a modified system of mixed dimensional flow equations, which explicitly incorporates permeability enhancement due to localized fracture enlargement near intersections.
The formulation proves highly effective in capturing the complex, multidimensional flow dynamics induced by karstification, and in quantifying its influence on flow patterns and production curves.
Computational results illustrate the influence of fracture enlargement
near intersections upon geo fluid production and storage.

References [1[ P. F. Antonietti, C. Facciol`a, A. Russo, and M. Verani. Discontinuous Galerkin820 approximation of flows in fractured porous media on polytopic grids. SIAM J. Sci.821 Comput., 41(1):A109–A138, 2019.822 [2]W. M. Boon, J. M. Nordbotten, and I. Yotov. Robust Discretization of Flow in861 Fractured Porous Media. SIAM Journal on Numerical Analysis, 56(4):2203–2233,862 Jan. 2018.863
Country Brasil
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Authors

Prof. Igor Mozolevski (Departamento de Matematica, Universidade Federal de Santa Catarina,) Prof. Luciane Schuh (Departamento de Matematica, Universidade Federal de Santa Catarina) Prof. Edson Valmorbida (UNIVERSIDADE TECNOLOGICA FEDERAL DO PARANÁ) Dr Marcio Murad (Laboratorio Nacional de Computacao Cientifica) Dr Josue Barroso (Laboratorio Nacional de Computacao Cientifica)

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