Advective transport from a penny-shaped crack in a porous medium and an associated uniqueness theorem

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 28, Issue 2, 2004, Pages 191-208

  Selvadurai, A P S ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

Advective transport; Transport from a penny shaped cavity; Transport from an elongated cavity; Uniqueness theorem for advective transport

Indexed keywords

FLOW OF FLUIDS; POROUS MATERIALS; TRANSPORT PROPERTIES;

DARCY FLOW; PENNY-SHAPED CRACK;

CRACKS;

ADVECTION; FRACTURED MEDIUM; POLLUTANT TRANSPORT; POROUS MEDIUM;

ADVECTION; FRACTURE FLOW; HYDROGEOLOGY; POLLUTANT TRANSPORT;

EID: 1142268780     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/nag.331     Document Type: Article

References (21)

1. Bear J. Dynamics of Fluids in Porous Media, Dover: New York, 1972.
2. Bear J, Verruijt A. Modelling of Groundwater Flow and Pollution, Reidel: Dordrecht, The Netherlands, 1990.
3. Bear J, Bachmat Y. Introduction to the Modelling of Transport Phenomena in Porous Media. Reidel: Dordrecht. The Netherlands, 1992.
4. Domenico PA, Schwartz FW. Physical and Chemical Hydrogeology. Wiley: New York, 1998.
5. Zijl W, Nawalany M. Natural Groundwater Flow. Lewis Publishers, CRC Press: Boca Raton, FL, 2000.
6. Selvadurai APS. Partial Differential Equations in Mechanics: Fundamentals, Laplace's equation, Diffusion equation, Wave equation, vol. 1. Springer: Berlin, 2000.
7. Zheng C, Bennett GD. Applied Contaminant Transport Modelling. Wiley-Interscience: New York, 2002.
8. Werner P. The contribution of natural attenuation processes for the remediation of contaminated sites. Groundwater Engineering-Recent Advances. In Proceedings of the International Symposium on Groundwater Problems Related to the Geo-Environment. Kono I, Nishigaki M, Komatsu M (eds). Okayama, A.A. Balkema: Lisse, 2003, 37-40.
9. Weinberger HF. A First Course in Partial Differential Equations. Dover: New York, 1965.
10. Sneddon IN. The Use of Integral Transforms. McGraw-Hill: New York, 1972.
11. Selvadurai APS. Partial Differential Equations in Mechanics: The Biharmonic equation, Poisson's equation, vol. 2. Springer: Berlin, 2000.
12. Hobson EW. The Theory of Spherical and Ellipsoidal Harmonics. Cambridge University Press: Cambridge. 1931.
13. Moon P, Spencer DE. Field Theory Handbook. Springer: Berlin, 1988.
14. Lapidus L. Pinder GF. Numerical Solution of Partial Differential Equations in Engineering. Wiley: New York, 1982.
15. Ninomiya H, Onishi K. Flow Analysis Using a PC. CRC Press: Boca Raton, FL, 1991.
16. Hill JM. Differential Equations and Group Methods for Scientists and Engineers. CRC Press: Boca Raton, FL, 1992.
17. Banks RB. Growth and Diffusion Phenomena: Mathematical Frameworks ana Applications. Springer: Berlin, 1994.
18. Melikyan AA. Generalized Characteristics of First Order PDEs: Applications in Optimal Control and Differential Games. Birkhauser: Boston, 1998.
19. Selvadurai APS. Advective transport of a chemical from a cavity in a porous medium. Computers and Geotechnics 2000; 29:525-546.
20. Selvadurai APS. Contaminant migration from an axisymmetric source in a porous medium. Water Resources Research 2003; 39(8):1204.
21. Aalto J. Finite element seepage flow nets. International Journal for Numerical and Analytical Methods in Geomechanics 1989: 8:297-303.