Computing gravity-driven viscous fingering in complex subsurface geometries: A high-order discontinuous Galerkin approach
We present a formulation of the discontinuous Galerkin method aimed for simulations of gravity-driven viscous fingering instabilities occurring in porous media flow. Specifically, we are targeting applications characterized by complex geometrical features. Viscous fingering instabilities play a very...
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| Veröffentlicht in: | Computational geosciences 2013-04, Vol.17 (2), p.351-372 |
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| creator | Gerstenberger, A. Scovazzi, G. Collis, S. S. |
| description | We present a formulation of the discontinuous Galerkin method aimed for simulations of gravity-driven viscous fingering instabilities occurring in porous media flow. Specifically, we are targeting applications characterized by complex geometrical features. Viscous fingering instabilities play a very important role in carbon sequestration in brine aquifers. The proposed method has the ability to preserve high order of accuracy on completely unstructured meshes, a feature that makes it ideal for high-fidelity computations of the challenging fingering flow patterns and very complex geometries of actual reservoirs and aquifers. An extensive set of numerical computations is also included, to confirm the stability, accuracy, and robustness of the method. |
| doi_str_mv | 10.1007/s10596-012-9334-y |
| format | Article |
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S.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Computing gravity-driven viscous fingering in complex subsurface geometries: A high-order discontinuous Galerkin approach</atitle><jtitle>Computational geosciences</jtitle><stitle>Comput Geosci</stitle><date>2013-04-01</date><risdate>2013</risdate><volume>17</volume><issue>2</issue><spage>351</spage><epage>372</epage><pages>351-372</pages><issn>1420-0597</issn><eissn>1573-1499</eissn><abstract>We present a formulation of the discontinuous Galerkin method aimed for simulations of gravity-driven viscous fingering instabilities occurring in porous media flow. Specifically, we are targeting applications characterized by complex geometrical features. Viscous fingering instabilities play a very important role in carbon sequestration in brine aquifers. 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| subjects | Accuracy Aquifers Carbon sequestration Computation Earth and Environmental Science Earth Sciences Flow pattern Galerkin methods Geophysics Geostatistics Geotechnical Engineering & Applied Earth Sciences Gravity Hydrogeology Instability Mathematical Modeling and Industrial Mathematics Mathematical models Original Paper Porous media Robustness Simulation Soil Science & Conservation Stability Viscosity |
| title | Computing gravity-driven viscous fingering in complex subsurface geometries: A high-order discontinuous Galerkin approach |
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