Summary
This paper is devoted to a rigorous derivation of the fundamental laws governing the macroscopic flow of fluids in a porous medium. The derivation is given within the framework of classical continuum mechanics and the resulting equations contain the continuity equation and the Euler equations of motion of hydrodynamics as well as Darcy's law as special cases.
Zusammenfassung
Diese Arbeit behandelt die strenge Ableitung der Fundamentalsätze für makroskopische Strömungen in einem porösen Medium. Die Ableitung wird innerhalb der klassischen Mechanik der Kontinua gegeben, und die daraus gewonnenen Gleichungen enthalten die Kontinuitätsgeichung und die Eulerschen Bewegungsgleichungen der Hydrodynamik und das Darcysche Gesetz als Spezialfälle.
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This work was partially supported by Marathon Oil Company, Littleton, Colorado, U.S.A.
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Fulks, W.B., Guenther, R.B. & Roetman, E.L. Equations of motion and continuity for fluid flow in a porous medium. Acta Mechanica 12, 121–129 (1971). https://doi.org/10.1007/BF01178393
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DOI: https://doi.org/10.1007/BF01178393