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The effect of a finite response time upon the propagation of sinusoidal oscillations of fluids in porous media

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Zusammenfassung

In dieser Arbeit wird die Fortpflanzung sinusoidaler Druckschwankungen in einem porösen Körper mit complexer Struktur betrachtet.

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References

  1. G. I. Barenblatt andYu. P. Zheltov,Fundamental Equations of Filtration of Homogeneous Liquids in Fissured Rocks, Doklady Akademii Nauk SSSR132, 545–548 [English translation, 522–525] (1960).

    Google Scholar 

  2. G. I. Barenblatt, Yu. P. Zheltov andI. N. Kochina,Basic Concepts in the Theory of Seepage of Homogeneous Liquids in Fissured Rocks [Strata], Priklad. Mat. Mekh.24, 852–864 [English translation, 1286–1303] (1960).

    Google Scholar 

  3. R. C. Goodknight, W. A. Klikoff andI. Fatt,Non-steady-state Fluid Flow and Diffusion in Porous Media Containing Dead-end Pore Volume, J. Phys. Chem. (Ithaca)64, 1162–1168 (1960).

    Google Scholar 

  4. J. E. Warren andP. J. Root,The Behavior of Naturally Fractured Reservoirs, Trans. Soc. Petrol. Engin.228, 245–255 (1963).

    Google Scholar 

  5. J. R. Philip,Diffusion, Dead-end Pores and Linearized Absorption in Aggregated Media, Austral. J. Soil Res.6, 21–30 (1968).

    Google Scholar 

  6. J. H. Steggewentz,De invloed van de getijbeweging van zeeën en getijrivieren op de stijghoogte van het grondwater (The Influence of the Tidal Motion of Seas and Tidal Rivers on the Height of Rise of the Groundwater), Thesis (Delft, The Netherlands 1933).

  7. J. Wesseling,The Transmission of Tidal Waves in Elastic Artesian Basins, Neth. J. Agr. Sci.7, 22–32 (1959).

    Google Scholar 

  8. P. A. C. Raats,Horizontal Transmission of Pressure Fluctuations in Structured Porous Media (in preparation).

  9. J. A. Currie,Gaseous Diffusion in the Aeration of Aggregated Soils, Soil Sci.92, 40–45 (1961).

    Google Scholar 

  10. B. Klepper,Diurnal Pattern of Water Potential in Woody Plants, Plant Phys.43, 1931–1934 (1968).

    Google Scholar 

  11. C. Truesdell,The Natural Time of a Visco-elastic Fluid: its Significance and Measurement, Phys. Fluids7, 1134–1142 (1964).

    Google Scholar 

  12. C. Truesdell andW. Noll,The Non-linear Field Theories of Mechanics, in:Handbuch der Physik (S. Flügge, ed.) III/3 (Springer, Berlin), p. 1–602 (in particular section 123) (1965).

    Google Scholar 

  13. H. Markovitz andB. D. Coleman,Nonsteady Helical Flows of Second-order Fluids, Phys. Fluids7, 833–841 (1964).

    Google Scholar 

  14. P. J. Chen andM. E. Gurtin,On a Theory of Heat Conduction Involving two Temperatures, Z. angew. Math. Phys.19, 614–627 (1968).

    Google Scholar 

  15. H. S. Carslaw andJ. C. Jaeger,Conduction of Heat in Solids (Oxford at the Clarendon Press), 510 p. (1959).

  16. A. J. Angström,Neue Methode, das Wärmeleitungsvermögen der Körper zu bestimmen, Ann. Phys. und Chem. (Poggendorff) (4)24, 513–530 (1861) [English translation:New Method of Determining the Thermal Conductibility of Bodies, The London, Edinburgh and Dublin Phil. Mag. J. Sci. (4),25, 130–142 (1863)]

    Google Scholar 

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Authors and Affiliations

  1. Agricultural Research Service, United States Department of Agriculture, Madison, Wisconsin, USA

    A. C. Raats

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  1. A. C. Raats
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Raats, A.C. The effect of a finite response time upon the propagation of sinusoidal oscillations of fluids in porous media. Journal of Applied Mathematics and Physics (ZAMP) 20, 936–946 (1969). https://doi.org/10.1007/BF01592302

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  • DOI: https://doi.org/10.1007/BF01592302

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