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
J.-S. Chen; C.-P. Liang; C.-W. Liu; L. Y. Li (2016)
Publisher: Copernicus Publications
Journal: Hydrology and Earth System Sciences
Languages: English
Types: Article
Subjects: T, G, GE1-350, Geography. Anthropology. Recreation, Environmental technology. Sanitary engineering, Environmental sciences, Technology, TD1-1066
The two-dimensional advection-dispersion equations coupled with sequential first-order decay reactions involving arbitrary number of species in groundwater system is considered to predict the two-dimensional plume behavior of decaying contaminant such as radionuclide and dissolved chlorinated solvent. Generalized analytical solutions in compact format are derived through the sequential application of the Laplace, finite Fourier cosine, and generalized integral transform to reduce the coupled partial differential equation system to a set of linear algebraic equations. The system of algebraic equations is next solved for each species in the transformed domain, and the solutions in the original domain are then obtained through consecutive integral transform inversions. Explicit form solutions for a special case are derived using the generalized analytical solutions and are compared with the numerical solutions. The analytical results indicate that the analytical solutions are robust, accurate and useful for simulation or screening tools to assess plume behaviors of decaying contaminants.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

    • Aziz, C. E., Newell, C. J., Gonzales, J. R., Haas P., Clement, T. P., and Sun, Y.: BIOCHLOR-Natural attenuation decision support system v1.0, User's Manual, US EPA Report, EPA 600/R00/008, 2000.
    • Barry, D. A. and Sposito, G.: Application of the convectiondispersion model to solute transport in finite soil columns, Soil Sci. Soc. Am. J., 52, 3-9, 1988.
    • Batu, V.: A generalized two-dimensional analytical solution for hydrodynamic dispersion in bounded media with the first-type boundary condition at the source, Water Resour. Res., 25, 1125- 1132, 1989.
    • Batu, V.: A generalized two-dimensional analytical solute transport model in bounded media for flux-type finite multiple sources, Water Resour. Res., 29, 2881-2892, 1993.
    • Batu, V.: A generalized three-dimensional analytical solute transport model for multiple rectangular first-type sources, J. Hydrol., 174, 57-82, 1996.
    • Bauer, P., Attinger, S., and Kinzelbach, W.: Transport of a decay chain in homogeneous porous media: analytical solutions, J. Contam. Hydrol., 49, 217-239, 2001.
    • Chen, J. S., Ni, C. F., Liang, C. P., and Chiang, C. C.: Analytical power series solution for contaminant transport with hyperbolic asymptotic distance-dependent dispersivity, J. Hydrol., 362, 142-149, 2008a.
    • Chen, J. S., Ni, C. F., and Liang, C. P.: Analytical power series solutions to the two-dimensional advection-dispersion equation with distance-dependent dispersivities, Hydrol. Process., 22, 670-4678, 2008b.
    • Chen, J.-S. and Liu, C.-W.: Generalized analytical solution for advection-dispersion equation in finite spatial domain with arbitrary time-dependent inlet boundary condition, Hydrol. Earth Syst. Sci., 15, 2471-2479, doi:10.5194/hess-15-2471- 2011, 2011.
    • Chen, J. S., Chen, J. T., Liu, C. W., Liang, C. P., and Lin, C. M.: Analytical solutions to two-dimensional advection-dispersion equation in cylindrical coordinates in finite domain subject to firstand third-type inlet boundary conditions, J. Hydrol., 405, 522- 531, 2011.
    • Chen, J. S., Lai, K. H., Liu, C. W., and Ni, C. F.: A novel method for analytically solving multi-species advective-dispersive transport equations sequentially coupled with first-order decay reactions, J. Hydrol., 420-421, 191-204, 2012a.
    • Chen, J. S., Liu, C. W., Liang, C. P., and Lai, K. H.: Generalized analytical solutions to sequentially coupled multi-species advectivedispersive transport equations in a finite domain subject to an arbitrary time-dependent source boundary condition, J. Hydrol., 456-457, 101-109, 2012b.
    • Cho, C. M.: Convective transport of ammonium with nitrification in soil, Can. J. Soil Sci., 51, 339-350, 1971.
    • Clement, T. P.: Generalized solution to multispecies transport equations coupled with a first-order reaction-network, Water Resour. Res., 37, 157-163, 2001.
    • Gao, G., Zhan, H., Feng, S., Fu, B., Ma, Y., and Huang, G.: A new mobile-immobile model for reactive solute transport with scale-dependent dispersion, Water Resour. Res., 46, W08533, doi:10.1029/2009WR008707, 2010.
    • Gao, G., Zhan, H., Feng, S., Huang, G., and Fu, B.: A mobileimmobile model with an asymptotic scale-dependent dispersion function, J. Hydrol., 424-425, 172-183, 2012.
    • Gao, G., Fu, B., Zhan, H., and Ma, Y.: Contaminant transport in soil with depth-dependent reaction coefficients and time-dependent boundary conditions, Water Res., 47, 2507-2522, 2013.
    • Higashi, K. and Pigford, T.: Analytical models for migration of radionuclides in geological sorbing media, J. Nucl. Sci. Technol., 17, 700-709, 1980.
    • Leij, F. J., Skaggs, T. H., and Van Genuchten, M. T.: Analytical solution for solute transport in three-dimensional semi-infinite porous media, Water Resour. Res., 27, 2719-2733, 1991.
    • Leij, F. J., Toride, N., and van Genuchten, M. T.: Analytical solutions for non-eq uilibrium solute transport in three-dimensional porous media, J. Hydrol., 151, 193-228, 1993.
    • Lunn, M., Lunn. R. J., and Mackay, R.: Determining analytic solution of multiple species contaminant transport with sorption and decay, J. Hydrol., 180, 195-210, 1996.
    • McGuire, T. M., Newell, C. J., Looney, B. B., Vangeas, K. M., and Sink, C. H.: Historical analysis of monitored natural attenuation: A survey of 191 chlorinated solvent site and 45 solvent plumes, Remiat. J., 15, 99-122, 2004.
    • Mieles, J. and Zhan, H.: Analytical solutions of one-dimensional multispecies reactive transport in a permeable reactive barrieraquifer system, J. Contam. Hydrol., 134-135, 54-68, 2012.
    • Montas, H. J.: An analytical solution of the three-component transport equation with application to third-order transport, Water Resour. Res., 39, 1036, doi:10.1029/2002WR001288, 2003.
    • Moridis, G. J. and Reddell, D. L.: The Laplace transform finite difference method for simulation of flow through porous media, Water Resour. Res., 27, 1873-1884, 1991.
    • Ozisik, M. N.: Boundary Value Problems of Heat Conduction, Dover Publications, Inc., New York, 504 pp., 1989.
    • Parlange, J. Y., Starr, J. L., van Genuchten, M. T., Barry, D. A., and Parker, J. C.: Exit condition for miscible displacement experiments in finite columns, Soil Sci., 153, 165-171, 1992.
    • Park, E. and Zhan, H.: Analytical solutions of contaminant transport from finite one-, two, three-dimensional sources in a finitethickness aquifer, J. Contam. Hydrol., 53, 41-61, 2001.
    • Pérez Guerrero, J. S. and Skaggs, T. H.: Analytical solution for one-dimensional advection-dispersion transport equation with distance-dependent coefficients, J. Hydrol., 390, 57-65, 2010.
    • Pérez Guerrero, J. S., Pimentel, L. G. G., Skaggs, T. H., and van Genuchten, M. T.: Analytical solution for multi-species contaminant transport subject to sequential first-order decay reactions in finite media, Transport Porous Med., 80, 357-373, 2009.
    • Pérez Guerrero, J. S., Skaggs, T. H., and van Genuchten, M. T.: Analytical solution for multi-species contaminant transport in finite media with time-varying boundary condition, Transport Porous Med., 85, 171-188, 2010.
    • Pérez Guerrero, J. S., Pontedeiro, E. M., van Genuchten, M. T., and Skaggs, T. H.: Analytical solutions of the one-dimensional advection-dispersion solute transport equation subject to timedependent boundary conditions, Chem. Eng. J., 221, 487-491, 2013.
    • Quezada, C. R., Clement, T. P., and Lee, K. K.: Generalized solution to multi-dimensional multi-species transport equations coupled with a first-order reaction network involving distinct retardation factors, Adv. Water Res., 27, 507-520, 2004.
    • Sneddon, I. H.: The Use of Integral Transforms, McGraw-Hill, New York, 1972.
    • Srinivasan, V. and Clememt, T. P.: Analytical solutions for sequentially coupled one-dimensional reactive transport problems-Part I: Mathematical derivations, Adv. Water Resour., 31, 203-218, 2008a.
    • Srinivasan, V. and Clememt, T. P.: Analytical solutions for sequentially coupled one-dimensional reactive transport problems-Part II: Special cases, implementation and testing, Adv. Water Resour., 31, 219-232, 2008b.
    • Sudicky, E. A., Hwang, H. T., Illman, W. A., and Wu, Y. S.: A semianalytical solution for simulating contaminant transport subject to chain-decay reactions, J. Contam. Hydrol., 144, 20-45, 2013.
    • Sun, Y. and Clement, T. P.: A decomposition method for solving coupled multi-species reactive transport problems, Transport Porous Med., 37, 327-346, 1999.
    • Sun, Y., Peterson, J. N., and Clement, T. P.: A new analytical solution for multiple species reactive transport in multiple dimensions, J. Contam. Hydrol., 35, 429-440, 1999a.
    • Sun, Y., Petersen, J. N., Clement, T. P., and Skeen, R. S.: Development of analytical solutions for multi-species transport with serial and parallel reactions, Water Resour. Res., 35, 185-190, 1999b.
    • van Genuchten, M. T.: Convective-dispersive transport of solutes involved in sequential first-order decay reactions, Comput. Geosci., 11, 129-147, 1985.
    • van Genuchten, M. T. and Alves, W. J.: Analytical solutions of the one-dimensional convective-dispersive solute transport equation, US Department of Agriculture Technical Bulletin No. 1661, 151 pp., 1982.
    • Yeh, G. T.: AT123D: Analytical Transient One-, Two-, and ThreeDimensional Simulation of Waste Transport in the Aquifer System, ORNL-5602, Oak Ridge National Laboratory, 1981.
    • Zhan, H., Wen, Z. and Gao, G.: An analytical solution of two-dimensional reactive solute transport in an aquiferaquitard system, Water Resour. Res., 45, W10501, doi:10.1029/2008WR007479, 2009.
    • Ziskind, G., Shmueli, H., and Gitis, V.: An analytical solution of the convection-dispersion-reaction equation for a ?nite region with a pulse boundary condition, Chem. Eng. J., 167, 403-408, 2011.
  • No related research data.
  • No similar publications.

Share - Bookmark

Cite this article