Viscous drag, driving forces, and their reduction to Darcy's law

Water Resources Research

Volumn 34, Issue 7, 1998, Pages 1675-1684

  Li, Jiang ^a   Helm, Donald ^a  

^a Center of Excellence for Tactical and Advanced Communications Technologies   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AQUIFER; FLUID DYNAMICS;

AQUIFER; DARCY'S LAW; PORE WATER FLOW; SATURATED FLOW;

AQUIFERS; DRAG; FLOW OF WATER; GROUNDWATER FLOW; LAMINAR FLOW; SEEPAGE;

CONSERVATION OF MOMENTUM; DRIVING FORCES; DYNAMIC CONDITION; FLUID-PHASE; INERTIAL TERMS; SOLID-PHASE; TRANSIENT CONDITIONS; VISCOUS DRAG;

FLOW OF FLUIDS;

EID: 0031863835     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/98WR01208     Document Type: Article

References (31)

1. Bear, J., Dynamics of Fluid in Porous Media, Elsevier, New York, 1972.
2. Bear, J., and Y. Bachmat, Introduction to Modeling of Transport Phenomena in Porous Media, D. Reidel, Norwell, Mass., 1990.
3. Bear, J., and S. Sorek, Evolution of governing mass and momentum balance following an abrupt pressure impact in a porous medium, Transp. Porous Media, 5, 169-187, 1990.
4. Biot, M. A., General theory of three-dimensional consolidation, J. Appl. Phys., 12(2), 155-164, 1941.
5. Biot, M. A., Mechanics of deformation and acoustic propagation in porous media, J. Appl. Phys., 33(4), 1483-1498, 1962.
6. Cooper, H. H., The equation of groundwater flow in fixed and deforming coordinates, J. Geophys. Res., 71(28), 4785-4790, 1966.
7. De Wiest, R. J. M., On the storage coefficient and the equations of groundwater flow, J. Geophys. Res., 71(4), 1117-1122, 1966.
8. Fukuo, Y., Visco-elastic theory of the deformation of a confined aquifer, in Land Subsidence, Proceedings of the Tokyo Symposium, vol. 2, IAHS Publ., 88, 547-562, 1969.
9. Gersevanov, N. M., The Foundations of Dynamics of Soils (in Russian), Stroiizdat, St. Petersburg, 1934.
10. Helm, D. C., A postulated relation between granular movement and Darcy's law for transient flow, in Evaluation and Prediction of Subsidence, edited by S. K. Saxena, pp. 417-440, Am. Soc. of Civ. Eng., New York, 1979.
11. Helm, D. C., Three-dimensional consolidation theory in terms of the velocity of solids, Geotechnique, 37, 369-392, 1987.
12. Hubbert, M. K., The Theory of Ground-Water Motion and Related Papers, Hafner, New York, 1969.
13. Jacob, C. E., The flow of water in an elastic artesian aquifer, Eos Trans. AGU, 21, 574-586, 1940.
14. Jacob, C. E., Flow of groundwater, in Engineering Hydraulics, edited by H. Rouse, pp. 321-386, John Wiley, New York, 1950.
15. Klausner, Y., Fundamentals of Continuum Mechanics of Soils, Springer-Verlag, New York, 1991.
16. Lamb, T. W., and R. V. Whitman, Soil Mechanics, John Wiley, New York, 1969.
17. Landau, L. D., and E. M. Lifshitz, Fluid Mechanics, translated from the Russian by J. B. Sykes and W. H. Reid, Pergamon, Tarrytown, N. Y., 1975.
18. Li, J., Fundamentals of aquifer multiphase flow in response to inertial forces, Ph.D. dissertation, Univ. of Nev., Reno, 1994.
19. Li, J., and D. C. Helm, A general formulation for saturated aquifer deformation under dynamic and viscous conditions, in Land Subsidence, edited by F. B. J. Barends, F. J. J. Brouwer, and F. H. Schroder, IAHS Publ., 234, 323-332, 1995.
20. Malvern, L. E., Introduction to the Mechanics of a Continuous Medium, Prentice-Hall, Englewood Cliffs, N. J., 1969.
21. Mase, G. E., Theory and Problems of Continuum Mechanics, McGraw-Hill, New York, 1970.
22. Mikasa, M., The consolidation of soft clay - A new consolidation theory and its application, in Civil Engineering in Japan, pp. 21-26, Jpn. Soc. of Eng., Tokyo, 1965.
23. Poland, J. F., and G. H. Davis, Land subsidence due to withdrawal of fluids, in Reviews in Engineering Geology, vol. 2, pp. 187-269, Geol. Soc. of Am., Boulder, Colo., 1969.
24. Polubarinova-Kochina, P. Y., Theory of Ground Water Movement, translated from the Russian by R. J. M. De Wiest, Princeton Univ. Press, Princeton, N. J., 1962.
25. Shenoy, A. V., Darcy-Forchheimer natural, forced and mixed convection heat transfer in non-Newtonian power-law fluid-saturated porous media, Transp. Porous Media, 11, 219-241, 1993.
26. Taylor, D. W., Fundamentals of Soil Mechanics, John Wiley, New York, 1948.
27. Terzaghi, K., Principles of soil mechanics, IV, Settlement and consolidation of clay, Eng. News Rec., 95, 874-878, 1925.
28. Terzaghi, K., Theoretical Soil Mechanics, John Wiley, New York, 1943.
29. Theis, C. V., The relation between the lowering of the piezometric surface and the rate and the duration of discharge of a well using ground water storage, Eos Trans. AGU, 16, 519-524, 1935.
30. Whitaker, S., Flow in porous media, I, A theoretical derivation of Darcy's law, Transp. Porous Media, 1, 3-25, 1986.
31. Zienkiewicz, O. C., and P. Bettess, Soil and other saturated media under transient, dynamic conditions: General formulation and the validity of various simplifying assumptions, in Soil Mechanics -Transient and Cyclic Loads, Constitutive Relation and Numerical Treatment, edited by G. N. Pande and O. C. Zienkiewicz, pp. 1-8, John Wiley, New York, 1982.