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Modeling of in-situ biorestoration of organic compounds in groundwater

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Abstract

A convergent numerical method for modeling in situ biorestoration of contaminated groundwater is outlined. This method treats systems of transport-biodegradation equations by operator splitting in time. Transport is approximated by a finite element modified method of characteristics. The biodegradation terms are split from the transport terms and treated as a system of ordinary differential equations. Numerical results for vertical cross-sectional flow are presented. The effects of variable hydraulic conductivity and variable linear adsorption are studied.

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References

  1. Borden, R. C. and P. B. Bedient, Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation 1. Theoretical development, Water Resour. Res. 22, pp. 1973–1982, 1986.

    Google Scholar 

  2. Celia, M. A., J. S. Kindred, and I. Herrera, Contaminant transport and biodegradation, 1. A numerical model for reactive transport in porous media, Water Resour. Res. 25, pp. 1141–1148, 1989.

    Google Scholar 

  3. Chiang, C. Y., J. P. Salanitro, E. Y. Chai, J. D. Colthart, and C. L. Klein, Aerobic biodegradation of benzene, toluene, and xylene in a sandy aquifer-data analysis and computer modelling, Ground Water 27, pp. 823–834, 1989.

    Google Scholar 

  4. Chiang, C. Y., M. F. Wheeler, and P. B. Bedient, A modified method of characteristics technique and a mixed finite element method for simulation of groundwater solute transport, Water Resour. Res. 25, pp. 1541–1549, 1989.

    Google Scholar 

  5. Dawson, C. N., T. F. Russell, and M. F. Wheeler, Some improved error estimates for the modified method of characteristics, SIAM J. Numer. Anal. 26, pp. 1487–1512 (1989).

    Google Scholar 

  6. Dawson, C. N., M. F. Wheeler and P. B. Bedient, Numerical modeling of subsurface contaminant transport with biodegradation kinetics, Proceedings of National Water Wells Meeting, Houston, Texas, 1987, pp. 329–344.

  7. Dawson, C. N., M. F. Wheeler, T. M. Nguyen, and S. W. Poole, Simulation of hydrocarbon biodegradation in groundwater, CRAY Channels 8, 3, pp. 14–19, 1986.

    Google Scholar 

  8. Dawson, C. N., M. F. Wheeler, T. M. Nguyen, and S. W. Poole, Simulation of subsurface contaminant transport with biodegradation kinetics, Proceedings of Third International Symposium on Science and Engineering on CRAY Supercomputers, Mendota Heights, Minnesota, pp. 75–86, 1987.

    Google Scholar 

  9. Douglas, J. Jr., R. E. Ewing, and M. F. Wheeler, Approximation of the pressure by a mixed finite element method in the simulation of miscible displacement, RAIRO Anal. 17, pp. 17–33, 1983.

    Google Scholar 

  10. Douglas, J. Jr. and T. F. Russell, Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. Numer. Anal. 19, pp. 871–885, 1982.

    Google Scholar 

  11. Douglas, J., T. F. Dupont, H. H. Rachford, and M. F. Wheeler, Local H -1 Galerkin and adjoint local H -1 Galerkin procedures for elliptic equations, RAIRO Anal. Numer. 11, pp. 3–12, 1977.

    Google Scholar 

  12. Freeze, R. A. and J. A. Cherry, Groundwater, Prentice-Hall, Englewood Cliffs, New Jersey, 1979.

    Google Scholar 

  13. Karickhoff, S. W., D. S. Brown, and T. A. Scott, Sorption of hydrophobic pollutants on natural sediments, Water Research 13, pp. 241–248, 1979.

    Google Scholar 

  14. Kindred, J. S. and M. A. Celia, Contaminant transport and biodegradation 2. Conceptual model and test simulations, Water Resour. Res. 25, pp. 1149–1159, 1989.

    Google Scholar 

  15. Konikow, L. F. and J. D. Bredeheoft, Computer model of two-dimensional solute transport and dispersion in groundwater. Automated data processing and computations. Techniques of Water Resources Investigations of the United States Geological Survey, Washington, D. C., 1978.

    Google Scholar 

  16. MacQuarrie, K. T. B., E. A. Sudicky, and E. O. Frind, Simulation of biodegradablev organic contaminants in groundwater 1, numerical formulation in principal directions, Water Resour. Res. 26, pp. 207–222.

  17. MacQuarrie, K. T. B. and E. A. Sudicky, Simulation of biodegradable organic contaminants in groundwater 2, plume behavior in uniform and random flow fields, Water Resour. Res. 26, pp. 223–240.

  18. Miller, M. M., S. P. Wasik, G. L. Huang, W. Y. Shiu, and D. Mackay, Relationship between octanol-water partition coefficient and aqueous solubility, Environmental Science and Technology 19, pp. 522–529, 1985.

    Google Scholar 

  19. Moissis, David, Simulation of viscous fingering during miscible displacement in nonuniform porous media, Ph. D. Thesis, Rice University, 1988.

  20. Molz, F. J., M. A. Widdowson, and L. D. Benefield, Simulation of microbial growth dynamics coupled to nutrient and oxygen transport in porous media, Water Resour. Res. 22, pp. 1207–1216, 1986.

    Google Scholar 

  21. Nakata, M., A. Weiser, and M. F. Wheeler, Some superconvergence results for mixed finite element methods for elliptic problems on rectangular domains, MAFELAP Proceedings V, J. A. Whiteman, ed., Academic Press, New York, pp. 367–390, 1985.

    Google Scholar 

  22. Raymond, R. L., Jamison, V. W., and Hudson, J. D., Final report on beneficial stimulation of bacterial activity in ground water containing petroleum products, Committee on Environmental Affairs, Americal Petroleum Institute, Washington, D. C., 1975.

    Google Scholar 

  23. Rifai, H. S., Numerical techniques for modeling in situ biorestoration and biodegradation of organic contaminants in ground water, Ph. D. Thesis, Rice University, 1989.

  24. Rittman, B. E. and P. L. McCarty, Model of steady state biofilm kinetics, Biotech. Bioeng. 22, pp. 2343–2357, 1980.

    Google Scholar 

  25. Russell, T. F., Time-stepping along characteristics with incomplete iteration for a Galerkin approximation of miscible displacement in porous media, SIAM J. Numer. Anal. 22, pp. 970–1013, 1985.

    Google Scholar 

  26. Russell, T. F., M. F. Wheeler, and C. Y. Chiang, Large-scale simulation of miscible displacement, Proceedings of SEG/SIAM/SPE Conference on Mathematical and Computational Methods in Seismic Exploration and Reservoir Modeling, W. E. Fitzgibbon, ed., Society for Industrial and Applied Mathematics, Philadelphia, pp. 85–107, 1986.

    Google Scholar 

  27. Thomas, J. M., M. D. Lee, P. B. Bedient, R. C. Borden, L. W. Canter, and C. H. Ward, Leaking underground storate tanks: remediation with emphasis on in situ biorestoration, Environmental Protection Agency, 600-87,008, January, 1987.

  28. United States Department of Energy, Site-directed subsurface environmental initiative, five year summary and plan for fundamental research in subsoils and in groundwater, FY1989–FY1993, DOE/ER 034411, Office of Energy Research, April 1988.

  29. United States Department of Energy, Review of intermediate-scale experiments for sub-surface microbiology and chemistry, DOE/ER-0383, Proceedings of an OHER/DOE Sponsored Workshop at University of Delaware's Virden Center, April 12–14, 1987.

  30. M. F. Wheeler and C. N. Dawson, An operator-splitting method for advection-diffusion-reaction problems, MAFELAP Proceedings VI, J. A. Whiteman, ed., Academic Press, pp. 463–482, 1988.

  31. M. F. Wheeler, C. N. Dawson, P. B. Bedient, C. Y. Chiang, R. C. Borden, and H. S. Rifai, Numerical simulation of microbial biodegradation of hydrocarbons in groundwater, Proceedings AGWSE/IGWMCH Conference on Solving Ground Water Problems with Models, National Water Wells Association, pp. 92–108, 1987.

  32. Widdowson, M. A., F. J. Molz, and L. D. Benefield, Development and application of a model for simulating microbial growth dynamics coupled to nutrient and oxygen transport in porous media, Proceedings AGWSE/IGWMCH Conference on Solving Ground Water Problems with Models, National Water Wells Association, pp. 28–51, 1987.

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Chiang, C.Y., Dawson, C.N. & Wheeler, M.F. Modeling of in-situ biorestoration of organic compounds in groundwater. Transp Porous Med 6, 667–702 (1991). https://doi.org/10.1007/BF00137855

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