Numerical Modeling of Biologically Reactive Transport near Nutrient Injection Well
Publication: Journal of Environmental Engineering
Volume 122, Issue 9
Abstract
A reactive, radial-transport model to simulate biological processes near a nutrient injection well is presented. An improved numerical procedure that incorporates the attractive features of Eulerian-Lagrangian and reaction-operator split methods is used to solve the model. The numerical procedure is efficient, stable, and mass conserving. An in-situ biostimulation model incorporating aerobic kinetics is solved to demonstrate the usefulness of the modeling procedure and to study the sensitivity of biomass distribution to variations in biokinetic parameters. The resulting mathematical model adequately describes near-well biological processes under varying conditions. The sensitivity analysis shows that the microbial detachment and attachment processes are important transport parameters that control biomass distribution in an aquifer. The results strongly suggest that other expressions that describe these processes and their relationship to growth rate should be examined.
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References
1.
Baveye, P., and Valocchi, V. A.(1989). “An evaluation of mathematical models of the transport of biologically reacting solutes in saturated soils and aquifers.”Water Resour. Res., 25, 1413–1421.
2.
Baveye, P., Vandevivere, P., and Lozada, D.(1992). “Comment on biofilm growth and the related changes in the physical properties of a porous medium, 1. Experimental investigation by S. W. Taylor and P. R. Jaffe.”Water Resour. Res., 28, 1481–1482.
3.
Bear, J. (1979). Hydraulics of groundwater . McGraw-Hill Book Co., Inc., New York, N.Y.
4.
Benefield, L. D., and Randall, C. W. (1980). Biological process design for wastewater treatment . Prentice-Hall Inc., Englewood Cliffs, N.J.
5.
Borden, R. C., and Bedient, P. B.(1986). “Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation.”Water Resour. Res., 22, 1973–1982.
6.
Chen, C. S.(1985). “Analytical and approximate solutions to radial dispersion form an injection well to a geological unit with simultaneous diffusion into adjacent strata.”Water Resour. Res., 21, 1069–1076.
7.
Cheng, R. T., Casulli, B., and Milford, S. N.(1984). “Eulerian-Lagrangian solution of the convection-dispersion equation in natural coordinates.”Water Resour. Res., 20, 944–952.
8.
Clement, T. P., Hooker, B. S., and Skeen, R. S. (1995). “Modeling biologically reactive transport in porous media.”Proc., of the Int. Conf. on Mathematics and Computations, Reactor Phys., and Envir. Analyses, Portland, Oreg., 192–201.
9.
Corapcioglu, M. Y., and Haridas, A.(1985). “Microbial transport in soils and groundwater: A numerical model.”Advanced Water Resour., 8, 188–200.
10.
Cunningham, A. B., Characklis, W. G., Abeeden, F., and Crawford, D.(1991). “Influence of biofilm on porous medial hydrodynamics.”Envir. Sci. and Technol., 25, 1304–1311.
11.
Harvey, C. F., Haggerty, R., and Gorelick, S. M.(1994). “Aquifer remediation: A method for estimating mass transfer rate coefficients and an evaluation of pulsed pumping.”Water Resour. Res., 30, 1979–1991.
12.
Hindmarsh, A. C., and Petzold, L. R.(1995). “Algorithms and software for ordinary differential equations and differential algebraic equations, Part II: Higher-order methods and software packages.”Computers in Phys., 9(2), 148–155.
13.
Hoopes, J. A., and Harleman, D. R. F.(1967). “Dispersion in radial flow from a recharge well.”J. Geophys. Res., 72, 3595–3607.
14.
Hornberger, G. M., Mills, A. L., and Herman, J. S.(1992). “Bacterial transport in porous media: Evaluation of a model using laboratory observations.”Water Resour. Res., 28, 915–938.
15.
Kindred, J. S., and Celia, M. A.(1989). “Contaminant transport and biodegradation, 2. Conceptual modal and test simulations.”Water Resour. Res., 25, 1149–1159.
16.
Kinzelbach, W., Schafer, W., and Herzer, J.(1991). “Numerical modeling of natural and enhanced denitrification processes in aquifers.”Water Resour. Res., 27, 1123–1135.
17.
Kissel, J. L., McCarty, P. L., and Street, R. L.(1984). “Numerical modeling of mixed-culture biofilm.”J. Envir. Engrg., ASCE, 110, 393–411.
18.
Molz, F. J., Widdowson, M. A., and Benefield, L. D.(1986). “Simulation of microbial growth dynamics coupled to nutrient oxygen transport in porous media.”Water Resour. Res., 22, 1207–1216.
19.
Peyton, B. M., and Characklis, W. G.(1993). “A statistical analysis of the effects of substrate utilization and shear stress on the kinetics of biofilm detachment.”Biotechnology and Bioengineering, 41, 728–735.
20.
Peyton, B. M., Skeen, R. S., Hooker, B. S., Ludman, R. W., and Cunningham, A. B.(1995). “Evaluation of bacterial detachment rates in porous media.”Appl. Biochemistry and Biotechnology, 51, 785–797.
21.
Rittmann, B. E.(1993). “The significance of biofilms in porous media.”Water Resour. Res., 29, 2195–2202.
22.
Semprini, L., and McCarty, P. L.(1991). “Comparison between model simulation and field results for in-situ biorestoration of chlorinated aliphatics: Part 1. Biostimulation of methanotropic bacteria.”Ground Water, 29, 365–374.
23.
Taylor, S. W., Milly, P. C. D., and Jaffe, P. R.(1990). “Biofilm growth and the related changes in the physical properties of a porous medium, 2. Permeability.”Water Resour. Res., 26, 2161–2169.
24.
Taylor, S. W., and Jaffe, P. R.(1990a). “Biofilm growth and the related changes in the physical properties of a porous medium, 1. Experimental investigations.”Water Resour. Res., 26, 2153–2159.
25.
Taylor, S. W., and Jaffe, P. R.(1990b). “Biofilm growth and the related changes in the physical properties of a porous medium, 1. Dispersivity and model verifications.”Water Resour. Res., 26, 2171–2180.
26.
Taylor, S. W., and Jaffe, P. R.(1990c). “Substrate and biomass transport in a porous medium.”Water Resour. Res., 26, 2181–2194.
27.
Taylor, S. W., and Jaffe, P. R.(1991). “Enhanced in-situ biodegradation and aquifer permeability reduction.”J. Envir. Engrg. Div., ASCE, 117, 25–45.
28.
Valocchi, A. J., and Malmstead, M.(1992). “Accuracy of operator splitting for advection-dispersion-reaction problems.”Water Resour. Res., 28, 1471–1476.
29.
Wheeler, M. F., and Dawson, C. N. (1987). “An operator-splitting method for advection-diffusion-reaction problems.”Tech. Rep., 87-9, Department of Mathematical Sciences, Rice Univ., Houston, Tex.
30.
Wheeler, M. F., Robertson, K. R., and Chilakapati, A. (1992). “Three-dimensional bioremediation modeling in heterogeneous porous media.”Computational Methods in Water Resour., Elsevier, Oxford, U.K., 299–315.
31.
Widdowson, M. A., Molz, F. J., and Benefield, L. D.(1988). “A numerical transport model for oxygenand nitrate-based respiration linked to substrate and nutrient availability in porous media.”Water Resour. Res., 24, 1553–1565.
32.
Yeh, G. T. (1992). “Application of hybrid Lagrangian-Eulerian finite element approach to contaminant transport.”Groundwater Modeling Workshop Notes, LEMETHOD.NTE, Department of Civil Engineering, The Pennsylvania State Univ., University Park, Pa., 1–24.
33.
Zysset, A., Stauffer, F., and Dracos, T.(1994). “Modeling of reactive groundwater transport governed by biodegradation.”Water Resour. Res., 30, 2423–2434.
Information & Authors
Information
Published In
Journal of Environmental Engineering
Volume 122 • Issue 9 • September 1996
Pages: 833 - 839
Copyright
Copyright © 1996 American Society of Civil Engineers.
History
Published online: Sep 1, 1996
Published in print: Sep 1996
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