Finite element simulation of viscous fingering in miscible displacements at high mobility-ratios
Numerical simulations of viscous fingering instabilities in miscible displacements at high mobility-ratios are presented. Anisotropic dispersion and monotonic viscosity profiles are considered. The coupled set of partial differential equations is approximated by the semi-discrete SUPG stabilized finite element formulation plus a discontinuity capturing technique to improve stability around the moving sharp fronts. The pressure equation is discretized by the standard Galerkin method, and a post-processing scheme is used to improve the numerical evaluation of Darcy's velocity. In the resulting scheme all variables (concentration, pressure and velocity) are approximated by equal order linear triangular elements. A homogeneous channel and a radial system were studied. Complex nonlinear viscous fingering mechanisms for high mobility-ratio miscible displacements were observed.
| Main Authors: | , , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Associação Brasileira de Engenharia e Ciências Mecânicas - ABCM
2010
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| Online Access: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1678-58782010000300013 |
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