Linking hierarchical stratal architecture to plume spreading in a Lagrangian-based transport model

Water Resources Research

Volumn 44, Issue 4, 2008, Pages

  Ramanathan, Ramya ^a   Ritzi Jr , Robert W ^a   Huang, Chaocheng ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY;

COVARIANCE EXPRESSION; LAGRANGIAN-BASED TRANSPORT MODEL;

SOLUTE TRANSPORT;

COMPUTATIONAL GEOMETRY; LAGRANGE MULTIPLIERS; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; SOLUTE TRANSPORT;

DISPERSION; LAGRANGIAN ANALYSIS; PERMEABILITY; PLUME; PROBABILITY; SOLUTE TRANSPORT;

EID: 44349094796     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007WR006282     Document Type: Article

References (24)

1. Barrash, W., and T. Clemo (2002), Hierarchical geostatistics and multifacies systems: Boise Hydrogeophysical Research Site, Boise, Idaho, Water Resour. Res., 38(10), 1196, doi:10.1029/2002WR001436.
2. Benjamin, J. R., and A. C. Cornell (1970), Probability, Statistic, and Decision for Civil Engineers, 684 pp., McGraw-Hill, New York.
3. Dagan, G. (1982), Stochastic modeling of groundwater flow by unconditional and conditional probabilities: 2. The solute transport, Water Resour. Res., 18(4), 835-848, doi:10.1029/WR018i004p00835.
4. Dagan, G. (1984), Solute transport in heterogeneous porous media, J. Fluid Mech., 145, 151-177, doi:10.1017/S0022112084002858.
5. Dagan, G. (1989), Flow and Transport in Porous Formations, 465 pp., Springer, New York.
6. Dai, Z., R. W. Ritzi, C. C. Huang, D. F. Dominic, and Y. N. Rubin (2004), Transport in heterogeneous sediments with multimodal conductivity and hierarchical organization across scales, J. Hydrol. 294(1-3), 68-86, doi:10.1016/j.jhydrol.2003.10.024.
7. Dai, Z., R. W. Ritzi, and D. F. Dominic (2005), Improving permeability semivariograms with transition probability models of hierarchical sedimentary architecture derived from outcrop analog studies, Water Resour. Res., 41, W07032, doi:10.1029/2004WR003515.
8. Freyberg, D. L. (1986), A natural gradient experiment on solute transport in a sand aquifer: 2. Spatial moments and the advection and dispersion of nonreactive tracers, Water Resour. Res., 22(13), 2031-2046.
9. Lu, Z., and D. Zhang (2002), On stochastic modeling of flow in multimodal heterogeneous formations, Water Resour. Res., 38(10), 1190, doi:10.1029/2001WR001026.
10. Neuman, S. P. (2003), Relationship between juxtaposed, overlapping, and fractal representations of multimodal spatial variability, Water Resour. Res., 39(8), 1205, doi:10.1029/2002WR001755.
11. Neuman, S. P. (2006), Comment on "Spatial correlation of permeability in cross-stratified sediment with hierarchical architecture" by Robert W. Ritzi, Zhenxue Dai, David F. Dominic, and Yoram N. Rubin, Water Resour. Res., 42, W05601, doi:10.1029/2005WR004256.
12. Proce, C. J., R. W. Ritzi, D. F. Dominic, and Z. Dai (2004), Modeling multiscale heterogeneity and aquifer interconnectivity, Ground Water, 42(5), 658-670, doi:10.1111/j.1745-6584.2004.tb02720.x.
13. Rajaram, H., and L. W. Gelhar (1991), Three-dimensional spatial moments analysis of the Borden tracer test, Water Resour. Res., 27(6), 1239-1251.
14. Ritzi, R. W. (2000), Behavior of indicator variograms and transition probabilities in relation to the variance in lengths of hydrofacies, Water Resour. Res., 36(11), 3375-3381, doi:10.1029/2000WR900139.
15. Ritzi, R. W., Jr., and R. M. Allen-King (2007), Why did Sudicky [1986] find an exponential-like spatial correlation structure for hydraulic conductivity at the Borden research site?, Water Resour. Res., 43, W01406, doi:10.1029/2006WR004935.
16. Ritzi, R. W., Z. Dai, D. F. Dominic, and Y. N. Rubin (2004), Spatial correlation of permeability in cross-stratified sediment with hierarchical architecture, Water Resour. Res., 40(3), W03513, doi:10.1029/ 2003WR002420.
17. Ritzi, R. W., Z. Dai, D. F. Dominic, and Y. N. Rubin (2006), Reply to comment by Shlomo P. Neuman on "Spatial correlation of permeability in cross-stratified sediment with hierarchical architecture" by Robert W. Ritzi, Zhenxue Dai, David F. Dominic, and Yoram N. Rubin, Water Resour. Res., 42, W05602, doi:10.1029/2005WR004402.
18. Rubin, Y. (1995), Flow and transport in bimodal heterogeneous formations, Water Resour. Res., 31(10), 2461-2468, doi:10.1029/95WR01953.
19. Rubin, Y. (2003), Applied Stochastic Hydrogeology, Oxford Univ. Press, Oxford, U. K.
20. Rubin, Y., I. A. Lunt, and J. S. Bridge (2006), Spatial variability in river sediments and its link with river channel geometry, Water Resour. Res., 42, W06D16, doi:10.1029/2005WR004853.
21. Sudicky, E. A. (1986), A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in the dispersion process, Water Resour. Res., 22(13), 2069-2082, doi:10.1029/WR022i013p02069.
22. Weissmann, G. S., and G. E. Fogg (1999), Multi-scale alluvial fan heterogeneity modeled with transition probability geostatistics in a sequence stratigraphic framework, J. Hydrol., 226(1-2), 48-65, doi:10.1016/S0022-1694(99)00160-2.
23. Weissmann, G. S., S. F. Carle, and G. E. Fogg (1999), Three dimensional hydrofacies modeling based on soil surveys and transition probability geostatistics, Water Resour. Res., 35(6), 1761-1770, doi:10.1029/ 1999WR900048.
24. Woodbury, A. D., and E. A. Sudicky (1991), The geostatistical characteristics of the Borden aquifer, Water Resour. Res., 24(7), 533-546, doi:10.1029/90WR02545.