Stokes Flow in a Slowly Varying Two-Dimensional Periodic Pore

Transport in Porous Media

Volumn 26, Issue 1, 1997, Pages 89-98

  Kitanidis, Peter K ^a   Dykaar, Bruce B ^a,b  

^a STANFORD UNIVERSITY   (United States)

^b U S ENVIRONMENTAL PROTECTION AGENCY   (United States)

Author keywords

Analytical solution; Biharmonic equation; Multiple scales method; Periodic flow; Pore scale hydrodynamics; Stokes flow; Stream function

Indexed keywords

CHANNEL FLOW; FUNCTION EVALUATION; HYDRODYNAMICS; MASS TRANSFER; NAVIER STOKES EQUATIONS; NUMERICAL METHODS; POROUS MATERIALS; PROBLEM SOLVING;

STOKES FLOW; STREAM FUNCTION FORMULATION; TWO DIMENSIONAL PERIODIC PORE;

FLOW OF WATER;

POROUS MEDIA-FLOW THROUGH; STOKES FLOW; TWO-PHASE FLOW(LIQUID/SOLID);

EID: 0030918292     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006575028391     Document Type: Article

References (18)

1. Bear, J.: 1972, Dynamics of Fluids in Porous Media, American Elsevier, New York.
2. Brenner, H., and Edwards, D. A.: 1993, Macrotransport Processes, Butterworth-Heinemann, Boston.
3. Chen, B., Cunningham, A., Ewing, R., Peralta, R. and Visser, E.: 1994, Two-dimensional modeling of microscale transport and biotransformation in porous media, Numer. Methods Partial Differential Equations 10, 65-83.
4. Hasegawa, E. and Izuchi, H.: 1983, On steady flow through a channel consisting of an uneven wall and a plane wall. Part 1. Case of no relative motion in two walls, Bull. JSME 26(214), 514-520.
5. Dykaar, B. B.: 1994, Macroflow and macrotransport in heterogeneous porous media, PhD Thesis, Stanford Univ. Civ. Eng.
6. Dykaar, B. B. and Kitanidis, P. K.: 1996, Macrotransport of a biologically reacting solute through porous media, Water Resour. Res. 32(2), 307-320.
7. Edwards, D.A., Shapiro, M., Bar-Yoseph, P. and Shapira, M.: 1990, The influence of Reynolds number upon the apparent permeability of spatially periodic arrays of cylinders, Phys. Fluids A 2(1), 45-55.
8. Edwards, R. A., Shapiro, M., Brenner, H. and Shapira, M.: 1991, Dispersion of inert solute in spatially periodic two-dimensional model porous media, Transport in Porous Media 6, 337-358.
9. Freeze, R. A. and Cherry, J. A.: 1979, Groundwater, Prentice-Hall, New York.
10. Gale, J. E., Rouleau, A. and Atkinson, L. C.: 1985, Hydraulic properties of fractures, in Memoires. Hydrogeology of Rocks of Low Permeability, International Association of Hydrogeologists, Tucson, AZ, pp. 1-11.
11. Happel, J. and Brenner, H.: 1983, Low-Reynolds Number Hydrodynamics, Kluwer, Boston.
12. Hinch, E. J.: 1991, Perturbation Methods, Cambridge Univ. Press, Cambridge.
13. Hull, L. C., Miller, J. D. and Clemo, T. M.: 1987, Laboratory and simulation studies of solute transport in fracture networks, Water Resour. Res. 23(8), 1505-1513.
14. Kundu, P. K.: 1990, Fluid Mechanics, Academic Press, San Diego.
15. Pozrikidis, C.: 1987, Creeping flow in two-dimensional channels, J. Fluid Mech. 180, 495-514.
16. Pozrikidis, C.: 1992, Boundary Integral and Singularity Methods for Linearized Viscous Flow, Cambridge Univ. Press.
17. Raven, K. G., Novakowski, K. S. and Lapcevic, P. A.: 1998, Interpretation of field tracer tests of a single fracture using a transient solute storage model, Water Resour. Res. 24(12), 2019-2032.
18. Zimmerman, R. W., Kumar, S. and Bodvarsson, G. S.: 1991, Lubrication theory analysis of the permeability of rough-walled fractures, Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 28(4), 325-331.