An analytical solution for transient radial flow through unsaturated fractured porous media

Water Resources Research

Volumn 41, Issue 2, 2005, Pages 1-6

  Wu, Yu Shu ^a   Pan, Lehua ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY FLOW; COMPUTER SIMULATION; CORRELATION METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA;

CAPILLARY PRESSURE; FRACTURE-MATRIX INTERACTION; RICHARDS' EQUATION; TRANSIENT RADIAL FLOWS;

POROUS MATERIALS;

FRACTURED MEDIUM; POROUS MEDIUM; RADIAL FLOW; RICHARDS EQUATION; TRANSIENT FLOW; UNSATURATED MEDIUM;

EID: 15444365700     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2004WR003107     Document Type: Article

References (14)

1. Basha, H. A. (1999), Multidimensional linearized nonsteady infiltration with prescribed boundary conditions at the soil surface, Water Resour. Res., 35(1), 75-83.
2. Honarpour, M., L. Koederitz, and A. H. Harvey (1986), Relative Permeability of Petroleum Reservoirs, CRC Press, Boca Raton, Fla.
3. Lai, C. H., G. S. Bodvarsson, C. F. Tsang, and P. A. Witherspoon (1983), A new model for well test data analysis for naturally fractured reservoirs, SPE paper 11688 presented at the 1983 California Regional Meeting, Soc. of Petrol. Eng., Ventura, California, March.
4. Philips, J. R. (1969), Theory of Infiltration, Adv. Hydrosci., 5, 215-296.
5. Pruess, K., and T. N. Narasimhan (1985), A practical method for modeling fluid and heat flow in fractured porous media, Soc. Pet. Eng. J., 25, 14-26.
6. Pullan, A. J. (1990), The quasilinear approximation for unsaturated porous media flow, Water Resour. Res., 26(6), 1219-1234.
7. Stehfest, H. (1970), Numerical inversion of Laplace transforms, Commun. ACM, 13(1), 47-49.
8. Streltsova, T. D. (1983), Well pressure behavior of a naturally fractured reservoir, Soc. Pet. Eng. J., Oct., 769-780.
9. Warren, J. E., and P. J. Root (1963), The behavior of naturally fractured reservoirs, Soc. Pet. Eng. J., Sept., 245-255.
10. Warrick, A. W., and G. W. Parkin (1995), Analytical solution for one-dimensional drainage: Burgers' and simplified forms, Water Resour. Res., 31(11), 2891-2894.
11. Wu, Y. S., and L. Pan (2003), Special relative permeability functions with analytical solutions for transient flow into unsaturated rock matrix, Water Resour. Res., 39(4), 1104, doi:10.1029/2002WR001495.
12. Wu, Y. S., and K. Pruess (1988), A multiple-porosity method for simulation of naturally fractured petroleum reservoirs, SPE Reservoir Eng., 3, 327-336.
13. Wu, Y. S., C. F. Ahlers, P. Fraser, A. Simmons, and K. Pruess (1996), Software qualification of selected TOUGH2 modules, Rep. LBNL-39490, Lawrence Berkeley Natl. Lab., Berkeley, Calif.
14. Zimmerman, R. W., and G. S. Bodvarsson (1995), Effective block size for imbibition or adsorption in dual-porosity media, Geophys. Res. Lett., 22(11), 1461-1464.