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Sensitivity Aspects of Forchheimer’s Approximation

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Abstract

Forchheimer’s equation, considered to be a nonlinear extension of the linear Darcy’s law, applies to a broader range of velocities for flows through porous media. In this article, we examine sensitivity of the Forchheimer model to permeability κ and a nonlinear coefficient β, using both experimental and computational data for validation. In addition to the direct observations, we were able to identify the role of temperature which influences the model by means of viscosity and density of the fluid. To get a quantifiable answer, we introduce a sensitivity index. Our results reveal a significant impact of the temperature to the model behavior.

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Authors and Affiliations

  1. Faculty of Technical Sciences, University of Warmia and Mazury in Olsztyn, M. Oczapowskiego 11, Olsztyn, 10-957, Poland

    Wojciech Sobieski

  2. University of Warsaw, ICM (Interdisciplinary Centre for Mathematical and Computational Modelling), Pawinskiego 5a, Warszawa, 02-106, Poland

    Anna Trykozko

Authors
  1. Wojciech Sobieski
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  2. Anna Trykozko
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Correspondence to Wojciech Sobieski.

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Sobieski, W., Trykozko, A. Sensitivity Aspects of Forchheimer’s Approximation. Transp Porous Med 89, 155–164 (2011). https://doi.org/10.1007/s11242-011-9760-7

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  • DOI: https://doi.org/10.1007/s11242-011-9760-7

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