Darcy’s and Forchheimer’s laws in practice. Part 1. The experiment

• Autorzy: Sobieski W. , Trykozko A.
• Języki publikacji: EN

Abstrakty

EN

The aim of this study is to derive flow parameters, which are permeability and Forchheimer coefficient, based on experimentally measured flow rates and pressure drops. When flow rates used in measurements exceed the limits of linear Darcy’s flow regime we discuss what needs to be taken into account while processing the measurements. The study consists of two parts. In this part we briefly recall Darcy’s and Forchheimer’s laws and address the issue of detecting transition between ranges of their applicability. Then we describe the experiment and discuss 8 different ways to process measurement data, four for Darcy’s, and four for Forchheimer’s models. The main topic of the second part is to provide recommendations for the best ways to process data, so that the results obtained with numerical models are in the best agreement with the experimental data. The results shown in the two papers belong to a larger work devoted to modeling fluid flows through porous media, with a special interest in granular beds.

Słowa kluczowe

EN

Darcy’s law; Forchheimer's law; Forchheimer Plot Method; porous media; permeability

• Wydawca: Wydawnictwo Uniwersytetu Warmińsko-Mazurskiego w Olsztynie
• Czasopismo: Technical Sciences / University of Warmia and Mazury in Olsztyn
• Rocznik: 2014
• Tom: nr 17(4)
• Strony: 321--335
• Opis fizyczny: Bibliogr. 17 poz., rys., tab., wykr.

Twórcy

autor

Sobieski W.

• Department of Mechanics and Machine Design, University of Warmia and Mazury in Olsztyn

autor

Trykozko A.

• Interdisciplinary Centre for Mathematical and Computational Modeling, University of Warsaw

Bibliografia

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• BATENBURG D. VAN, MILTON-TAYLER D. 2005. Discussion on SPE 89325, Beyond beta factors: a complete model for Darcy, Forchheimer, and trans-Forchheimer flow in porous media. JPT, 57(8): 72-73.
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• SOBIESKI W., TRYKOZKO A. 2011. Sensitivity aspects of Forchheimer’s approximation. Transport in Porous Media, 89(2): 155-164.
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• TINDALL J.A., KUNKEL J.R., ANDERSON D.E. 1998. Unsaturated Zone Hydrology for Scientist and Engineers. Pearson Education, New Jersey.