Motion equations of the dynamic theory of consolidation from the point of view of the theory of transient pipe flows |
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Authors: | Jan A Kołodziej Mariusz Kaczmarek |
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Institution: | (1) Institute of Applied Mechanics, Technical University of Poznan, Piotrowo 3, Post Box 5, 60-965 Poznan, Poland;(2) Institute of Fundamental Technological Research, Mielynskiego 27/29, 61-725 Poznan, Poland |
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Abstract: | An elastic fluid-saturated porous medium is modeled as a bundle of parallel cylindrical tubes aligned in a direction parallel to the fluid movement. The pore space is filled with viscous compressible liquid. A cell model and the theory of transient pipe flow are used to derive one-dimensional governing equations in such media. All macroscopic constants in these equations are defined by the individual material constants of the fluid and solid. The interaction force includes an additional term not found in Biot's theory. |
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Keywords: | Fluid-saturated porous media Biot's theory cell model transient pipe flow macroscopic constants |
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