Investigation of flow and transport processes at the MADE site using ensemble Kalman filter

Advances in Water Resources

Volumn 31, Issue 7, 2008, Pages 975-986

  Liu, Gaisheng ^a   Chen, Yan ^b   Zhang, Dongxiao ^c,d  

^a UNIVERSITY OF KANSAS   (United States)

^b UNIVERSITY OF OKLAHOMA   (United States)

^c Department of Civil and Environmental Engineering and Mork Family   (United States)

^d PEKING UNIVERSITY   (China)

Author keywords

Advection dispersion; Ensemble Kalman filter; MADE; Mass transfer; Solute transport

Indexed keywords

ADVECTION; COMPUTER SIMULATION; FLOWMETERS; HYDRAULIC CONDUCTIVITY; MASS TRANSFER; MATHEMATICAL MODELS; POROSITY; SOLUTE TRANSPORT;

ADVECTION-DISPERSION; DUAL-DOMAIN MASS TRANSFER (DDMT); ENSEMBLE KALMAN FILTER; POROSITY RATIO;

KALMAN FILTERS;

ADVECTION; COMPUTER SIMULATION; FLOWMETERS; HYDRAULIC CONDUCTIVITY; KALMAN FILTERS; MASS TRANSFER; MATHEMATICAL MODELS; POROSITY; SOLUTE TRANSPORT;

ADVECTION; DATA ASSIMILATION; ESTIMATION METHOD; HYDRAULIC CONDUCTIVITY; KALMAN FILTER; MASS TRANSFER; PLUME; SOLUTE TRANSPORT; TRANSPORT PROCESS;

EID: 44649116372     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.03.006     Document Type: Article

References (39)

1. Adams E.E., and Gelhar L.W. Field study of dispersion in a heterogeneous aquifer, 2: Spatial moment analysis. Water Resour. Res. 28 12 (1992) 3293-3307
2. Baeumer B., Benson D.A., Meerschaert M.M., and Wheatcraft S.W. Subordinated advection-dispersion equation for contaminant transport. Water Resour. Res. 37 6 (2001) 1543-1550
3. Barlebo H.C., Hill M.C., and Rosbjerg D. Investigating the macrodispersion experiment (MADE) site in Columbus, Mississippi, using a three-dimensional inverse flow and transport model. Water Resour. Res. 40 4 (2004) W04211, 1-W04211, 18
4. Bear J. Dynamics of fluids in porous media (1972), Dover Publications Inc., New York
5. Benson D.A., Wheatcraft S.W., and Meerschaert M.M. The fractional-order governing equation of Levy motion. Water Resour. Res. 36 6 (2000) 1413-1423
6. Berkowitz B., and Scher H. Theory of anomalous chemical transport in fracture networks. Phys. Rev. E 57 5 (1998) 5858-5869
7. Berkowitz B., Cortis A., Dentz M., and Scher H. Modeling non-Fickian transport in geological formations as a continuous time random walk. Rev. Geophys. 44 (2006) RG2003 10.1029/2005RG000178
8. Boggs J.M., and Adams E.E. Field study of dispersion in a heterogeneous aquifer, 4, Investigation of adsorption and sampling bias. Water Resour. Res. 28 12 (1992) 3325-3336
9. Boggs JM, Beard LM, Long SE, McGee MP, MacIntyre WG, Antworth CP, Stauffer TB. Database for the second macrodispersion experiment (MADE-2). Tech. Rep. TR-102072, Electric Power Res. Inst., Palo Alto, California. 1993.
10. Boggs J.M., Young S.C., Beard L.M., Gelhar L.W., Rehfeldt K.R., and Adams E.E. Field study of dispersion in a heterogeneous aquifer, 1, Overview and site description. Water Resour. Res. 28 12 (1992) 3281-3291
11. Bowling J.C., Rodriguez A.B., Harry D.L., and Zheng C. Delineating alluvial aquifer heterogeneity using resistivity and GPR data. Ground Water 43 6 (2005) 890-903
12. Burgers G., Leeuwen P., and Evensen G. Analysis scheme in the ensemble Kalman filter. Monthly Weather Rev. 23 4 (1998) 126:1719-724
13. Burnett R.D., and Frind E.O. An alternating direction Galerkin technique for simulation of groundwater contaminant transport in three dimensions, 2: dimensionality effects. Water Resour. Res. 23 4 (1987) 695-705
14. Chen Y., and Zhang D. Data assimilation for transient flow in geologic formations via ensemble Kalman filter. Adv. Water Resour. 29 8 (2006) 1107-1122
15. Deutsch C.V., and Journel A.G. GSLIB, Geostatistical software library and user's guide. 2nd ed. (1998), Oxford University Press, New York
16. Evensen G. Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error Statistics. J. Geophys. Res. 99 C5 (1994) 10143-10162
17. Evensen G. The ensemble Kalman filter: theoretical formulation and practical implementation. Ocean Dynam. 53 (2003) 343-367
18. Feehley C.E., Zheng C., and Molz F.J. A dual-domain mass transfer approach for modeling solute transport in heterogeneous porous media, application to the MADE site. Water Resour. Res. 36 9 (2000) 2051-2515
19. Gelhar L.W., Mantoglou A., Welty C., and Rehfeldt H.R. A critical review of data on field-scale dispersion in aquifers. Water Resour. Res. 28 7 (1992) 1955-1974
20. Gorelick S.M., Liu G., and Zheng C. Quantifying mass transfer in permeable media containing conductive dendritic networks. Geophys. Res. Lett. 32 (2005) L18402 10.1029/2005GL023512
21. Harbaugh AW, Banta ER, Hill MC, McDonald MG. MODFLOW-2000, the U.S. Geological Survey Modular Ground-Water Model - User Guide to Modularization Concepts and the Ground-Water Flow Processes. U.S. Geological Survey Open-File Report 00-92, 121p.
22. Haggerty R., Harvey C.F., Freiherr von Schwerin C., and Meigs L.C. What controls the apparent timescale of solute mass transfer in aquifers and soils? A comparison of experimental results. Water Resour. Res. 40 (2004) W01510 10.1029/2002WR001716
23. Harvey C.F., and Gorelick S.M. Rate-limited mass transfer or macrodispersion: which dominates plume evolution at the macrodispersion experiment (MADE) site?. Water Resour. Res. 36 3 (2000) 637-650
24. Hill M.C., Barlebo H.C., and Rosbjerg D. Reply to comment by F. Molz et al. on "Investigating the macrodispersion experiment (MADE) site in Columbus, Mississippi, using a three-dimensional inverse flow and transport model". Water Resour. Res. 42 (2006) W06604 10.1029/2005WR004624
25. Kalman R.E. A new approach to linear filtering and prediction problems. Trans. Amer. Soc. Mech. Eng. J. Basic Eng. Ser. D 82 (1960) 35-45
26. Lu S., Molz F.J., and Fix G.J. Possible problems of scale dependency in applications of the three-dimensional fractional advection-dispersion equation to natural porous media. Water Resour. Res. 38 9 (2002) 1165 10.1029/2001WR000624
27. Margulis S.A., McLaughlin D., Entekhabi D., and Dunne S. Land data assimilation and estimation of soil moisture using measurements from the Southern Great Plains 1997 Field Experiment. Water Resour. Res. 38 12 (2002) 1299 10.1029/2001WR001114
28. McLaughlin D., and Townley L.R. A reassessment of the groundwater inverse problem. Water Resour. Res. 32 5 (1996) 1131-1162
29. Molz F.J., Zheng C., Gorelick S.M., and Harvey C.F. Comment on "Investigating the macrodispersion experiment (MADE) site in Columbus, Mississippi, using a three-dimensional inverse flow and transport model" by H.C. Barlebo, Mary C. Hill, and D. Rosbjerg. Water Resour. Res. 42 (2006) W06603 10.1029/2005WR004265
30. Rehfeldt K.R., Boggs J.M., and Gelhar L.W. Field study of dispersion in a heterogeneous aquifer, 3, Geostatistical analysis of hydraulic conductivity. Water Resour. Res. 28 12 (1992) 3309-3324
31. Reichle R.H., McLaughlin D.B., and Entekhabi D. Hydrologic data assimilation with the ensemble Kalman filter. Monthly Weather Rev. (2002) 103-130
32. Salamon P., Fernàndez-Garcia D., and Gómez-Hernández J.J. Modeling tracer transport at the MADE site: the importance of heterogeneity. Water Resour. Res. 43 (2007) W08404 10.1029/2006WR005522
33. Sun N.Z. Inverse problems in groundwater modeling (1994), Kluwer Academic, Norwell, MA
34. Zhang D., and Kang Q. Pore scale simulation of solute transport in fractured porous media. Geophys. Res. Lett. 31 (2004) L12504 10.1029/2004GL019886
35. Zhang Y., Benson D.A., Meerschaert M.M., and LaBolle E.M. Space-fractional advection-dispersion equations with variable parameters: diverse formulas, numerical solutions, and application to the macrodispersion experiment site data. Water Resour. Res. 43 5 (2007) W05439 10.1029/2006WR004912
36. Zheng C. MT3DMS v5.2 Supplemental User's Guide. Department of Geological Sciences, University of Alabama, Tuscaloosa, AL. 2006.
37. Zheng C., and Bennett G.D. Applied contaminant transport modeling. 2nd ed. (2002), Wiley, New York 621 p
38. Zheng C., and Jiao J.J. Numerical simulation of tracer tests in a heterogeneous aquifer. J. Environ. Eng. 124 6 (1998) 510-516
39. Zheng C, Wang PP. MT3DMS: Documentation and User's Guide, Contract Report SERDP-99-1. U.S. Army Engineer Research and Development Center, Vicksburg, MS, 1999.