LOGIN TO YOUR ACCOUNT

Username
Password
Remember Me
Or use your Academic/Social account:

CREATE AN ACCOUNT

Or use your Academic/Social account:

Congratulations!

You have just completed your registration at OpenAire.

Before you can login to the site, you will need to activate your account. An e-mail will be sent to you with the proper instructions.

Important!

Please note that this site is currently undergoing Beta testing.
Any new content you create is not guaranteed to be present to the final version of the site upon release.

Thank you for your patience,
OpenAire Dev Team.

Close This Message

CREATE AN ACCOUNT

Name:
Username:
Password:
Verify Password:
E-mail:
Verify E-mail:
*All Fields Are Required.
Please Verify You Are Human:
fbtwitterlinkedinvimeoflicker grey 14rssslideshare1
Li, Y.; Cleall, Peter John (2010)
Publisher: ASCE
Languages: English
Types: Article
Subjects: TA
Analytical solutions for conservative solute diffusion in one-dimensional double-layered porous media are presented in this paper. These solutions are applicable to various combinations of fixed solute concentration and zero-flux boundary conditions (BC) applied at each end of a finite one-dimensional domain and can consider arbitrary initial solute concentration distributions throughout the media. Several analytical solutions based on several initial and BCs are presented based on typical contaminant transport problems found in geoenvironmental engineering including (1) leachate diffusion in a compacted clay liner (CCL) and an underlying stratum; (2) contaminant removal from soil layers; and (3) contaminant diffusion in a capping layer and underlying contaminated sediments. The analytical solutions are verified against numerical solutions from a finite-element method based model. Problems related to leachate transport in a CCL and an underlying stratum of a landfill and contaminant transport through a capping layer over contaminated sediments are then investigated, and the suitable definition of the average degree of diffusion is considered.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Alshawabkeh, A. N., Rahbar, N., and Sheahan, T. 2005 . “A model for contaminant mass flux in capped sediment under consolidation.” J. Contam. Hydrol., 78 3 , 147-165.
    • Arega, F., and Hayter, E. 2008 . “Coupled consolidation and contaminant transport model for simulating migration of contaminants through the sediment and a cap.” Appl. Math. Model., 32 11 , 2413- 2428.
    • Benson, C. H., and Daniel, D. E. 1994 . “Minimum thickness of compacted soil liners. 2. Analysis and case-histories.” J. Geotech. Engrg., 120 1 , 153-172.
    • Carslaw, H. S., and Jaeger, J. C. 1959 . Conduction of heat in solids, Oxford University Press, New York.
    • Chapra, S. C., and Canale, R. P. 2006 . Numerical methods for engineers, McGraw-Hill Higher Education, Boston.
    • Chen, Y., Xie, H., Ke, H., and Chen, R. 2009 . “An analytical solution for one-dimensional contaminant diffusion through multi-layered system and its applications.” Environ. Geol., 58 5 , 1083-1094.
    • Cleall, P. J., Seetharam, S. C., and Thomas, H. R. 2007 . “Inclusion of some aspects of chemical behavior of unsaturated soil in thermo/ hydro/chemical/mechanical models. I: Model development.” J. Eng. Mech., 133 3 , 338-347.
    • Crank, J. 1956 . The mathematics of diffusion, Oxford University Press, New York.
    • Foose, G. J., Benson, C. H., and Edil, T. B. 1999 . “Equivalency of composite geosynthetic clay liners as a barrier to volatile organic compounds.” Geosynthetics 99, Industrial Fabrics Association International, Roseville, Minn., 321-334.
    • Freeze, R. A., and Cherry, J. A. 1979 . Groundwater, Prentice-Hall, Englewood Cliffs, N.J.
    • Lampert, D. J., and Reible, D. 2009 . “An analytical modeling approach for evaluation of capping of contaminated sediments.” Soil Sediment Contam., 18 4 , 470-488.
    • Lee, P. K. K., Xie, K. H., and Cheung, Y. K. 1992 . “A study on onedimensional consolidation of layered systems.” Int. J. Numer. Analyt. Meth. Geomech., 16 11 , 815-831.
    • Leij, F. J., Dane, J. H., and van Genuchten, M. T. 1991 . “Mathematicalanalysis of one-dimensional solute transport in a layered soil-profile.” Soil Sci. Soc. Am. J., 55 4 , 944-953.
    • Leij, F. J., and van Genuchten, M. T. 1995 . “Approximate analytical solutions for solute transport in two-layer porous-media.” Transp. Porous Media, 18 1 , 65-85.
    • Lewis, T. W., Pivonka, P., Fityus, S. G., and Smith, D. W. 2009 . “Parametric sensitivity analysis of coupled mechanical consolidation and contaminant transport through clay barriers.” Comput. Geotech., 36 1-2 , 31-40.
    • Liu, C., and Ball, W. P. 1998 . “Analytical modeling of diffusion-limited contamination and decontamination in a two-layer porous medium.” Adv. Water Resour., 21 4 , 297-313.
    • Liu, C., Ball, W. P., and Ellis, J. H. 1998 . “An analytical solution to the one-dimensional solute advection-dispersion equation in multi-layer porous media.” Transp. Porous Media, 30 1 , 25-43.
    • Palermo, M. R., et al. 1998a . Guidance for subaqueous dredged material capping, U.S. Army Corps of Engineers, Vicksburg, Miss.
    • Palermo, M. R., Maynord, S., Miller, J., and Reible, D. D. 1998b . Guidance for in-situ subaqueous capping of contaminated sediments, Great Lakes National Program Office, Chicago.
    • Rowe, R. K., Quigley, R. M., Brachman, R. W. I., and Booker, J. R. 2004 . Barrier systems for waste disposal facilities, Taylor & Francis, Oxford, U.K.
    • Seetharam, S. C., Thomas, H. R., and Cleall, P. J. 2007 . “Coupled thermo/hydro/chemical/mechanical model for unsaturated soilsNumerical algorithm.” Int. J. Numer. Methods Eng., 70, 1480-1511.
    • Shackelford, C. D. 1991 . “Laboratory diffusion testing for waste disposal: A review.” J. Contam. Hydrol., 7 3 , 177-217.
    • Shackelford, C. D., and Daniel, D. E. 1991 . “Diffusion in saturated soil. I: Background.” J. Geotech. Geoenviron. Eng., 117 3 , 467-484.
    • Shackelford, C. D., and Lee, J. M. 2005 . “Analyzing diffusion by analogy with consolidation.” J. Geotech. Geoenviron. Eng., 131 11 , 1345-1359.
    • Sharma, H. D., and Reddy, K. R. 2004 . Geoenvironmental engineering: Site remediation, waste containment, and emerging waste management technologies, Wiley, New York.
    • Taylor, D. W. 1948 . Fundamentals of soil mechanics, Wiley, New York.
    • Terzaghi, K. 1943 . Theoretical soil mechanics, Wiley, New York.
    • Thoma, G. J., Reible, D. D., Valsaraj, K. T., and Thibodeaux, L. J. 1993 . “Efficiency of capping contaminated sediments in-situ. 2. Mathematics of diffusion adsorption in the capping layer.” Environ. Sci. Technol., 27 12 , 2412-2419.
    • Xie, K. H. 1994 . “Theory of one dimensional consolidation of doublelayered ground and its applications.” Chinese J. Geotech. Eng., 16 5 , 26-38.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article