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Adaptive Double-Diffusion Model and Comparison to a Highly Heterogeneous Micro-Model

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https://ir.library.oregonstate.edu/concern/articles/g732d9705

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Abstract
  • Double-diffusion model is used to simulate slightly compressible fluid flow in periodic porous media as a macro-model in place of the original highly heterogeneous micro-model. In this paper, we formulate an adaptive two-grid numerical finite element discretization of the double-diffusion system and perform a comparison between the micro- and macro-model. Our numerical results show that the micro-model solutions appear to converge to the macro-model linearly with the parameter e of periodic geometry. For the two-grid discretization, the a priori and a posteriori error estimates are proved, and we show how to adapt the grid for each component independently.
  • This is the publisher’s final pdf. The published article is copyrighted by Hindawi Publishing Corporation and can be found at: http://www.hindawi.com/.
  • Keywords: Discretizations, Coal, Finite elements, Posteriori error estimators, Single phase flow, CO2 injection, Equations, Desorption, Media
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  • Klein, V., & Peszynska, M. (2012). Adaptive double-diffusion model and comparison to a highly heterogeneous micro-model. Journal of Applied Mathematics, 2012 doi: 10.1155/2012/938727
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  • 2012
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  • This work was partially supported by the Grants NSF DMS-0511190, DMS-1115827, DOE 98089, and by FAPESP/Brazil.
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