A boundary element method for analysis of contaminant transport in porous media I: Homogeneous porous media

International Journal for Numerical and Analytical Methods in Geomechanics

Volumn 23, Issue 14 SPEC. ISS., 1999, Pages 1681-1699

  Leo, Chin Jian ^a   Booker, J R ^b  

^a UNIVERSITY OF WESTERN SYDNEY   (Australia)

^b NONE

Author keywords

Boundary element method; Contaminant migration; Homogeneous porous media; Mass transport

Indexed keywords

POLLUTANT TRANSPORT; POROUS MEDIUM;

BOUNDARY ELEMENT METHOD; MASS TRANSPORT; POLLUTANT TRANSPORT; POROUS MEDIUM;

CONTAMINANT TRANSPORT; HOMOGENEOUS POROUS MEDIA;

BOUNDARY ELEMENT METHOD; INTEGRAL EQUATIONS; LAPLACE TRANSFORMS; MASS TRANSFER; MATHEMATICAL MODELS; POROUS MATERIALS;

SOIL POLLUTION;

EID: 0033544470     PISSN: 03639061     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1096-9853(19991210)23:14<1681::AID-NAG971>3.0.CO;2-U     Document Type: Article

References (25)

1. A. Taigbenu and J. A. Liggett, 'An integral solution for the diffusion-advection equation', Water Resour. Res., 22, 1237-1246 (1986).
2. R. M. Khanbilvardi, S. Ahmed and A. M. Sadegh, 'Boundary integral solutions to the unsaturated moisture flow equations', Water Resour. Res. 29(5), 1425-1434 (1993).
3. M. S. Rahman, J. R. Booker and C. W. Hwang, 'A boundary integral formulation for modelling pollutant migration in groundwater', Proc. Int. Conf. 'Solving Groundwater Problems with Models', Indianapolis, 1989.
4. T. A. Cruse and F. J. Rizzo, 'A direct formulation and numerical solution in the general transient elasto-dynamic problems I', J. Math. Analyt. Appl., 22, 244-259 (1968)
5. D. W. Smith, 'Boundary element analysis of heat flow and consolidation for geotechnical applications', Ph.D. Thesis, University of Sydney, 1990.
6. D. W. Smith and J. R. Booker, 'Boundary element analysis of time dependent thermoelasticity', Proc. Conf. on Finite Element Methods in Engineering, Melbourne, 1987, pp. 346-350.
7. D. W. Smith and J. R. Booker, 'Boundary element analysis of linear quasi-static coupled transient thermoelasticity', Proc. 6th Int. Conf. on Numerical Methods in Geomechanics, Innsbruck, 1988, pp. 1017-1022.
8. D. W. Smith and J. R. Booker, 'Boundary integral analysis of transient thermoelasticity', Int. J. Numer. Analyt. Meth. Geomech., 13, 283-302 (1989).
9. D. W. Smith and J. R. Booker, 'Applications of boundary integral analysis involving thermoporoelastic materials', Proc. 2nd Asia Pacific Conf. on Computational Methods, Sydney, 1983, pp. 627-633.
10. J. Bear, Hydraulics of Groundwater, McGraw-Hill, New York, 1979.
11. A. R. Freeze and J. A. Chery, Groundwater, Prentice-Hall, Englewood Cliffs, NJ.
12. R. K. Rowe, R. M. Quigley and J. R. Booker, 'Clayey barrier systems for waste disposal facilities', E & F N Spon, 1995.
13. C. C. Travis and E. L. Etnier, A survey of sorption relationships for reactive solutes in soils, J. Environ. Qual., 10, 8-17 (1981).
14. W. J. Weber, Jr., P. M. McGinley and L. E. Katz 'The nature and effects of sorption processes in subsurface systems', in J. Bear and M.Y. Corapcioglu, (eds), Transport Processes in Porous Media, Kluwer Academic Publishers, Dordrecht, 1991.
15. R. K. Rowe and J. R. Booker 'The analysis of pollutant migration in a non-homogeneous soil', Geotechnique, 34(4), 601-612 (1984).
16. R. K. Rowe and J. R. Booker, 'Two-dimensional pollutant migration in soils of finite depth', Canadian Geotechn. J., 22, 429-436 (1985).
17. R. K. Rowe and J. R. Booker, 'A Finite layer technique for solving general 3-D pollutant migration problems', Geotechnique, 36, 205-214 (1986).
18. C. C. Travis, Mathematical description of adsorption and transport of reactive solutes in soil: a review of selected literature, Oak Ridge National Laboratory, Oak Ridge, Tennessee, 1978.
19. L. Luckner and W. M. Schestakow, Migration Processes in the Soil and Groundwater Zone, Lewis Publishers, 1991.
20. C. J. Leo and J. R. Booker, 'A note on co-ordinate transform and fundamental solutions of the equations of contaminant migration in porous media', Working Paper, University of Sydney, 1997.
21. A. Talbott, 'The accurate numerical integration of Laplace transforms', J. Inst. Math. Appl., 23, 97-120 (1979).
22. Q. Huang and T. A. Cruse, 'Some notes on singular integral techniques in boundary element analysis', Int. J. Numer. Meth. Engng., 36, 2643-2659 (1993).
23. L. W. Gelhar and J. L. Wilson, 'Ground-water quality modelling', Groundwater, 3, 7-17 (1974).
24. S. Sharp and S. L. Crouch, 'Boundary integral methods for themoelastic problems', J. Appl. Mech., 53, 298-302 (1986).
25. M. S. Rahman and J. R. Booker, 'Pollutant migration from deeply buried repositories', Int. J. Numer. Anal. Meth. Geomech., 13, 37-51 (1989).