Journal of Soil and Groundwater Environment (한국지하수토양환경학회지:지하수토양환경)

Korean Society of Soil and Groundwater Environment (한국지하수토양환경학회)
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Analytical Solution of Multi-species Transport Equations Coupled with a First-order Reaction Network Under Various Boundary Conditions

다양한 경계조건을 가진 일차 반응 네트워크로 결합된 다종 오염물 거동 해석해

  • Received : 2011.09.21
  • Accepted : 2011.10.23
  • Published : 2011.12.31
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Abstract

In this study, analytical solution of multip-species transport equations coupled with a first-order reaction network under constant concentration boundary condition or total flux boundary condition is obtained using similarity transformation approach of Clement et al. (2000). The study shows the schematic process about how multi-species transport equations with first-order sequential reaction network is transformed through the similarity transformation approach into independent and uncoupled single species transport equations with first-order reaction. The analytical solution was verified through the comparison with popular commercial programs such as 2DFATMIC and RT3D. The analytical solution can be utilized in nuclear waste sites where radioactive contaminants and their daughter products occur and in industrial complex cities where chlorinated solvent such as PCE, TCE, and its biodegradation products produces. In addition, it can help the verification of the developed numerical code.

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References

  1. Bear, J., 1979, Hydraulics of Groundwater, McGraw-Hill, Inc., New York, pp. 268-269.
  2. Chilakapati, A. and Yabisaki, S., 1999, Nonlinear reactions and nonuniform flows, Water Resour. Res., 35(8), 2427-2438. https://doi.org/10.1029/1999WR900146
  3. Clement, T.P., 2001a, Generalized solution to multispecies transport equations coupled with a first-order reaction network, Water Resour. Res., 37(1), 157-163. https://doi.org/10.1029/2000WR900239
  4. Clement, T.P., 2001b, RT3D v2.5: A Modular Computer code for Simulating Reactive Multi-species Transport in 3-Dimensional groundwater systems. Pacific Northwest National Laboratory, Rihland, WA 99352, USA, PNNL-SA-11720, Found online at http://bioprocess.pnl.gov/rt3d.htm.
  5. Clement, T.P., Johnson, C.D., Sun, Y., Klecka, G.M., and Bartlett, C., 2000, Natural attenuation of chlorinated ethene compounds: model development and field-scale application, J.contam. Hydrol., 42, 113-140. https://doi.org/10.1016/S0169-7722(99)00098-4
  6. Domenico, P.A., 1987, An analytical model for multidimensional transport of a decaying contaminant species, J. Hydrol., 91, 49-58. https://doi.org/10.1016/0022-1694(87)90127-2
  7. Domenico, P.A. and Robbins, G.A., 1985, A new method of contaminant plume analysis, Groundwater, 23, 476-485 https://doi.org/10.1111/j.1745-6584.1985.tb01497.x
  8. Lunn, M., Lunn, R.J., and Mackay, R., 1996, Determining analytic solution of multiple species contaminant transport, with sorption and decay, J. Hydrol., 180, 195-210. https://doi.org/10.1016/0022-1694(95)02891-9
  9. Manoranjan, V. and Stauffer, T., 1996, Exact solution for contaminant transport with kinetic Langmuir sorption, Water Resour. Res., 32, 749-752. https://doi.org/10.1029/95WR03240
  10. Rabideau, A.J., Suribhatla, R., and Craig, J.R., 2005, Analytical models for the design of iron-based permeable reactive barriers, J. Environ. Eng., 131(11), 1589-1597. https://doi.org/10.1061/(ASCE)0733-9372(2005)131:11(1589)
  11. Sun, Y. and Clement, T.P., 1999, A generalized decomposition method for solving coupled multi-species reactive transpor problems, Transp. Porous Media, 37(3), 327-346. https://doi.org/10.1023/A:1006507514019
  12. Sun, Y., Petersen, J.N., and Clement, T.P., 1999a, Analytical solution for multiple species reative transport in multiple dimensions, J. Com. Hydrol. 35(4), 429-440. https://doi.org/10.1016/S0169-7722(98)00105-3
  13. Sun, Y., Petersen, J.N., and Clement, T.P., 1999b, Development of analytical solutions for multiple-species transport with serial and parallel reactions, Water Resour. Res, 35(1), 185-190. https://doi.org/10.1029/1998WR900003
  14. van Genuchten, M.T., 1985, Convextive-dispersive transport of solutes involved in sequential first-order decay reactions, Comput. Geosci., 11(2). 129-147. https://doi.org/10.1016/0098-3004(85)90003-2
  15. Yeh, G.-T., Cheng, J.-R., and Short, T.E., 1997, 2DFATMIC: User's manual of a two-dimensional subsurface flow, fate and transport of microbes and chemical model version 1.0, EPA/600/ R-97/052, US EPA.
  16. Zheng, C. and Wang, P.P., 1999, MT3DMS: A modular threedimensional multispecies model for simulation of advection, dispersion and chemical reactions of contaminants in groundwater systems; Documentation and User's Guide, Contract Report SERDP-99-1, U.S. Army Engineer Research and Development Center,Vicksburg, MS.