Unsaturated flow through spherical inclusions with contrasting sorptive numbers

Vadose Zone Journal

Volumn 4, Issue 2, 2005, Pages 255-263

  Furman, Alex ^a,b   Warrick, A W ^a  

^a UNIVERSITY OF ARIZONA   (United States)

^b VOLCANI CENTER   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC ELEMENT METHOD; HYDRAULIC PROPERTIES; INCLUSION MATERIAL; ITERATIVE SOLUTIONS; RICHARDS' EQUATION; SATURATED HYDRAULIC CONDUCTIVITY; SPHERICAL INCLUSION; STEADY STATE; SYSTEM OF EQUATIONS; UNSATURATED FLOWS; UNSATURATED HYDRAULIC CONDUCTIVITY;

COMPUTATIONAL EFFICIENCY; EQUATIONS OF STATE; HELMHOLTZ EQUATION; HYDRAULIC CONDUCTIVITY; SPHERES;

NONLINEAR EQUATIONS;

EID: 36749043614     PISSN: None     EISSN: 15391663     Source Type: Journal    
DOI: 10.2136/vzj2004.0076     Document Type: Article

References (23)

1. Abramowitz, M., and I.A. Stegun. 1964. Handbook of mathematical functions. Vol. 55. U.S. Gov. Print. Office, Washington, DC. 263
2. Bakker, M., and J.L. Nieber. 2004. Analytic element modeling of cylindrical drains and cylindrical inhomogeneities in steady two-dimensional unsaturated flow. Available at www.vadosezonejournal.org. Vadose Zone J. 3:1038-1049.
3. Bakker, M., and O.D.L. Strack. 2003. Analytic elements for multiaquifer flow. J. Hydrol. (Amsterdam) 271:119-129.
4. Barnes, R., and I. Janković.1999.Two-dimensionalflowthroughlarge numbers of circular inhomogeneities. J. Hydrol. (Amsterdam) 226: 204-210.
5. Bear, J. 1972. Dynamics of fluids in porous media. Dover Publications, New York.
6. Bystrov, K.N. 1959. On two-dimensional steady flows in a layer with exponentially varying thickness. (In Russian.) Trans. Moscow District Pedagogical Inst. 75:31-59.
7. Frenkel, Y.I. 1949. Theory of phenomena of atmospheric electricity. (In Russian.) Gostehizdat, Leningrad.
8. Furman, A., and S.P. Neuman. 2003. Laplace-transform analytic element solution of transient flow in porous media. Adv. Water Resour. 26:1229-1237.
9. Gardner, W.R. 1958. Some steady state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Sci. 85:228-232.
10. Irmay, S. 1964. Refraction of flow at the boundary between two different anisotropic porous media. (In French.) CRH Acad. Sci. 259:509-511.
11. Janković, I., and R. Barnes. 1999. Three-dimensional flow through large numbers of spheroidal inhomogeneities. J. Hydrol. (Amsterdam) 226:224-233.
12. Kacimov, A.R. 2004. Capillary fringe and unsaturated flow in a porous reservoir bank. J. Irrig. Drain. Div. Am. Soc. Civ. Eng. (in press).
13. Knight, J.H., J.R. Philip, and R.T. Waechter. 1989. The seepage exclusion problem for spherical cavities. Water Resour. Res. 25:29-37.
14. Maxwell, C. 1873. Treatise on electricity and magnetism. Vol. 1. Clarendon Press, Oxford.
15. Moon, P., and D.E. Spencer. 1961. Field theory handbook. SpringerVerlag, Berlin.
16. Philip, J.R. 1986. Linearized unsteady multidimensional infiltration. Water Resour. Res. 22:1717-1727.
17. Philip, J.R. 1998. Seepage shedding by parabolic capillary barriers and cavities. Water Resour. Res. 43(11):2827-2835.
18. Philip, J.R., J.H. Knight, and R.T. Waechter. 1989. Unsaturated seepage and subterranean holes: Conspectus, and exclusion problem for circular cylindrical cavities. Water Resour. Res. 25:16-28.
19. Schaap, M.G., and F.J. Leij. 1998. Database related accuracy and uncertainty of pedotransfer functions. Soil Sci. 163:765-779.
20. Strutt, J.W. (Lord Rayleigh). 1871. On the light from the sky, its polarisation and colour. Philos. Mag. 41:107-120, 274-279.
21. van Genuchten, M.Th. 1980. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44:892-898.
22. Warrick, A.W., and J.H. Knight. 2002. Two-dimensional unsaturated flow through a circular inclusion [Online]. Available at www.agu.org/journals/wr/.WaterResour. Res. 38(7). doi:10.1029/2001WR00 1041.
23. Warrick, A.W., and J.H. Knight. 2004. Unsaturated flow through a spherical inclusion [Online]. Available at www.agu.org/journals/wr/. Water Resour. Res. 40. W05101. doi:10.1029/2003WR002890.