Abstract
In this manuscript, we consider a transport system with a dechlorination reaction network, in which tetrachloroethylene (PCE) reacts to produce trichloroethylene (TCE), TCE reacts to form three daughter products, cis-1,2-dichloroethylene (cis-1,2-DCE), trans-1,2-dichloroethylene (trans-1,2-DCE), and 1,1-dichloroethylene (1,1-DCE), three DCEs further react to produce vinyl chloride (VC), finally VC reacts to produce ethylene (ETH). Because the partial differential equation describing the reactive transport of VC, is coupled by three reactant concentrations, currently the problem must be solved numerically. Following Lu et al. (2003), we extend the analytical solution from five species to the entire PCE reaction network. Using the singular value decomposition (SVD) the system of transport equations with convergent reactions is decoupled into seven orthogonal subsystems. Previously published analytical solutions of single species transport become the basic solutions in the transformed domain for each independent subsystem. The solutions in real concentration domain are obtained using the inverse transform. The solution derived in this study can then be used instead of Sun et al. (1999) in BIOCHLOR for simulating more realistic systems of biodegradation and reactive transport.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Aziz, C. E., Newell, C. J., Gonzales, G. R., Haas, P. E., Clement, T. P. and Sun, Y.: 1999, BIOCHLOR - Natural attenuation decision support system, Beta version 1.0, User's Manual, Subsurface Protection and Remediation Division, National Risk Management Research Laboratory, Ada, Oklahoma, U.S.A.
Bear, J.: 1979, Groundwater Hydraulics, McGraw-Hill, New York.
Clement, T. P.: 2001, Generalized solution to multispecies transport equations coupled with a firstorder reaction network, Water Resour. Res. 37(1), 157-163.
Lu, X., Sun, Y. and Petersen, J. N.: 2003. Analytical solutions of TCE transport with convergent reactions, Transp. Porous Media 51, 211-225.
MathWorks: 2000, MATLAB high-performance numeric computation and visualization software, Natick, MA, U.S.A. www.mathwroks.com.
Semprini, L., Roberts, P. V., Hopkins, G. D. and McCarty, P. L.: 1990, A field evaluation of in situ biodegradation of chlorinated ethenes. Part 2. Results of biostimulation and biotransformation experiments, Ground Water 28(5), 715-727.
Sun, Y., Petersen, J. N., Clement, T. P. and Skeen, R. S.: 1999, Development of analytical solutions for multi-species transport with serial and parallel reactions, Water Resour. Res. 35(1), 185-190.
Wiedemeier, T. H., Swanson, M. A., Moutoux, D. E., Gordon, E. K., Wilson, J. T., Wilson, B. H., Kampbel, D. H., Hansen, J., Haas, P. and Chapelle, F. H.: 1996, Technical protocol for evaluating natural attenuation of chlorinated solvents in groundwater, Air Force Center for Environmental Excellence, Technology Transfer Division, Brooks AFB, San Antonio, TX, U.S.A.
Wiedemeier, T. H., Rifai, H. S., Newell, C. J. and Wilson, J. T.: 1999, Natural Attenuation of Fuels and Chlorinated Solvents in the Subsurface, Wiley, New York.
Zhang, K. and Woodbury, A. D.: 2002, A Krylov finite-element approach for multispecies contaminant transport in discretely fractured porous media, Adv. Water Resour. 25, 705-721.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Sun, Y., Lu, X., Petersen, J.N. et al. An Analytical Solution of Tetrachloroethylene Transport and Biodegradation. Transport in Porous Media 55, 301–308 (2004). https://doi.org/10.1023/B:TIPM.0000013327.32136.52
Issue Date:
DOI: https://doi.org/10.1023/B:TIPM.0000013327.32136.52