Effects of hydrodynamic dispersion on plume lengths for instantaneous bimolecular reactions

Advances in Water Resources

Volumn 27, Issue 8, 2004, Pages 803-813

  Ham, Philip A S ^a   Schotting, Ruud J ^a   Prommer, Henning ^b   Davis, Greg B ^c  

^a UTRECHT UNIVERSITY   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c CSIRO   (Australia)

Author keywords

Longitudinal dispersivity; Mixing; Natural attenuation; Plume length; Transversal dispersivity

Indexed keywords

ALGEBRA; COMPUTER SIMULATION; HYDRODYNAMICS; MIXING;

BIMOLECULAR REACTIUONS; PLUME DEVELOPMENT;

WATER RESOURCES;

DISPERSIVITY; HYDRODYNAMICS; MIXING; NATURAL ATTENUATION; POROUS MEDIUM;

EID: 4344717158     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2004.05.008     Document Type: Article

References (28)

1. Abramowitz M, Stegun IS, editors. Handbook of mathematical functions With formulas, graphs and mathematical tables. New York: Dover Publications; 1964.
2. Bear J. Dynamics of fluids in porous media. New York: American Elsevier; 1972.
3. Barry DA, Prommer H, Miller CT, Engesgaard P, Zheng C. Modelling the fate of oxidizable organic contaminants in ground-water. Adv Water Resour 2002;25:899-937.
4. Borden RC, Bedient PB. Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation: 1. Theoretical development. Water Resour Res 1986;13:1973-82.
5. Borden RC, Bedient PB, Lee MD, Ward CH, Wilson JT. Transport of dissolved hydrocarbons influenced by oxygen-limited biodegradation: 2. Field application. Water Resour Res 1986;13:1983-90.
6. Carslaw, Jaeger, editors. Conduction of heat in solids. 2nd ed.. Oxford: Claredon Press; 1986.
7. Cirpka OA, Frind EO, Helmig R. Numerical simulation of biodegradation controlled by transverse mixing. J Contam Hydrol 1999;40:159-82.
8. Clement PT. A modular computer code for simulating reactive multi-species transport in 3-dimensional groundwater aquifers. Technical Report PNNL-SA-28967, Battelle Pacific Northwest National Laboratory Research Report, Richlands, Washington, September 1997.
9. Crank J. The mathematics of diffusion. 3rd ed.. Oxford: Clarendon Press; 1964.
10. Davis GB, Barber C, Power TR, Thierrin J, Patterson BM, Rayner JL, et al. The variability and intrinsic remediation of a BTEX plume in anaerobic sulphate-rich groundwater. J Contam Hydrol 1999;36:265-90.
11. Domenico PA. An analytical model for multidimensional ransport of a decaying contaminant species. J Hydrol 1987;91:49-58.
12. Dykaar BB, Kitanidis PK. Macrotransport of a biologically reacting solute through porous media. Water Resour Res 1996;32(2):307-20.
13. Gradshtey IS, Ryzhik IM. Table of integrals, series and products. 12th ed.. New York: Academic Press; 1979.
14. Gramling CM, Harvey CF, Meigs LC. Reactive transport in porous media: a comparison of model prediction with laboratory visualization. Environ Sci Technol 2002;36:2508-14.
15. Grathwohl P, Klenk ID, EBerhardt C, Maier U. Steady state plumes: mechanisms of transverse mixing in aquifers. In: Contaminant site remediation: from source zones to ecosystems. Proc. CRSC, Melbourne, Vic., 4-8 December, Centre for Groundwater Studies, CSIRO, Perth, Western Australia, 2000. p.459-66.
16. Grathwohl P, Klenk ID, Eberhardt C, Maier U. Steady state plumes: mechanisms of transverse mixing in aquifers. In: Seiler X, Wohnlich X, editors. New approaches characterizing groundwater flow. Proceedings IAH Congress, 2001. p. 89-94.
17. Huang WE, Oswald SE, Lerner DN, Smith CC, Zheng C. Dissolved oxygen imaging in a porous medium to investigate biodegradation in a plume with limited electron acceptor supply. Environ Sci Technol 2003;37:1905-11.
18. Klenk ID, Grathwohl P. Transverse vertical dispersio in groundwater and the capillary fringe. J Contam Hydrol 2002;58:111-28.
19. Koussis AD, Pesmajoglou S, Syriopoulou D. Modelling biodegradation of hydrocarbons: when is the use of the instantaneous reaction approximatio justified?. J Contam Hydrol 2003;60:287-305.
20. Leonard BP. Universal limiter for transient interpolatio modeling of the advective transport equations: the ULTIMATE conservative difference scheme. NASA Technical Memorandum 100916 ICOMP-88-11, Washington, DC.
21. Lu G, Clement TP, Zheng C, Wiedemeier TH. Natural attenuation of BTEX compounds, model development and field-scale application. Ground Water 1999;37(5):707-17.
22. Michaelis L, Menton MML. Die kinetik der invertinwerkung. Biochem Zeitschr 1913;49:333-69.
23. Parkhurst DL, Appelo CAJ. User's guide to PHREEQC (Version 2)-A computer program for speciation, batch-reaction, one-dimensional transport, and inverse geochemical calculations. US Geological Survey Water-Resources Investigations Report 99-4259, 1999.
24. Prommer H, Barry DA, Zheng C. MODFLOW/MT3DMS-based reactive multicomponent transport modelling. J Ground Water 2003;41(2):247-57.
25. Prommer H, Davis GB, Barry DA. Modelling of physical and reactive processes during biodegradation of a hydrocarbon plume under transient groundwater flow conditions. J Cont Hydrol 2002;59:113-31.
26. Trefry MG, Ruan FP, McLaughlin D. Numerical simulations of preasymptotic transport in heterogeneous porous media: departures from the Gaussian limit. Water Resour Res 2003;39(3) 10.1029/2001WR001101.
27. Wilson JL, Miller PJ. Two-dimensional plume in uniform ground-water flow. J Hydraul Div, ASCE 1978;104(HY4):503-12.
28. Zheng C, Wang PP. MT3DMS: a modular three-dimensional multispecies model for simulation of advection, dispersio and chemical reactions of contaminants in groundwater systems. Documentation and User' Guide. Contract Report SERDP-99-1, US Army Engineer Research and Development Center, Vicksburg, MS, 1999.