Improving permeability semivariograms with transition probability models of hierarchical sedimentary architecture derived from outcrop analog studies

Water Resources Research

Volumn 41, Issue 7, 2005, Pages 1-13

  Dai, Zhenxue ^a   Ritzi Jr , Robert W ^a   Dominic, David F ^a  

^a WRIGHT STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

HIERARCHICAL SYSTEMS; LINEAR SYSTEMS; MAPPING; MECHANICAL PERMEABILITY; PROBABILITY; SEDIMENTS;

DATA REFLECTION; OUTCROP; SEDIMENTARY DEPOSITS; VARIANCE;

AQUIFERS;

AQUIFER; PERMEABILITY; SEDIMENTARY FEATURE; VARIOGRAM;

EID: 23944458528     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2004WR003515     Document Type: Article

References (23)

1. Allen-King, R. M., R. M. Halket, D. R. Gaylord, and M. J. L. Robin (1998), Characterizing the heterogeneity and correlation of perchloroethene sorption and hydraulic conductivity using a facies-based approach, Water Resour. Res., 34(3), 385-396.
2. Barrash, W., and T. Clemo (2002), Hierarchical geostatistics, multifacies systems, and stationarity: Boise Hydrogeophysical Research Site, Boise, Idaho, Water Resour. Res., 38(10), 1196, doi:10.1029/2002WR001436.
3. Carle, S. F., and G. E. Fogg (1996), Transition probability-based geostatistics, Math. Geol., 28(4), 453-476.
4. Carle, S. F., and G. E. Fogg (1997), Modeling spatial variability with one-and multi-dimensional continuous Markov chains, Math. Geol., 29(7), 891-918.
5. Dai, Z., R. W. Ritzi, D. F. Dominic, and Y. N. Rubin (2003), Estimating spatial correlation structure for permeability in sediments with hierarchical organization, in Probability Approaches and Groundwater Modeling, edited by S. Mishra, pp. 83-100, Am. Soc. of Civ. Eng., Reston, Va.
6. Dai, Z., R. W. Ritzi, and D. F. Dominic (2004a), Estimating parameters for hierarchical permeability correlation models, in Aquifer Characterization, edited by J. Bridge and D. Hyndman, Spec. Publ. SEPM Soc. Sediment. Geol., 80, 41-54.
7. Dai, Z., R. W. Ritzi, C. Huang, Y. Rubin, and D. F. Dominic (2004b), Transport in heterogeneous sediments with multimodal conductivity and hierarchical organization across scales, J. Hydrol., 294, 68-86.
8. Davis, J. M., R. C. Lohmann, F. M. Phillips, J. L. Wilson, and D. W. Love (1993), Architecture of the Sierra Ladrones Formation, central New Mexico: Depositional controls on the permeability correlation structure, Geol. Soc. Am. Bull., 105, 998-1007.
9. Davis, J. M., J. L. Wilson, F. M. Phillips, and M. B. Gotkowitz (1997), Relationship between fluvial bounding surfaces and the permeability correlation structure, Water Resour. Res., 33(8), 1843-1854.
10. Deutsch, C. V., and A. G. Journel (1998), GSLIB: Geostatistical Software Library and User's Guide, 2nd ed., 369 pp., Oxford Univ. Press, New York.
11. Gaud, M. N., G. A. Smith, and S. A. McKenna (2004), Relating small-scale permeability heterogeneity to lithofacies distribution, in Aquifer Characterization, edited by J. Bridge and D. Hyndman, Spec. Publ. SEPM Soc. Sediment. Geol., 80, 55-66.
12. Goggin, D. J., M. A. Chandler, G. Kocurek, and L. W. Lake (1992), Permeability transects of eolian sands and their use in generating random permeability fields, SPE Form. Eval., 7, 7-16.
13. Kuhle, A. J., and G. A. Smith (2001), Alluvial-slope deposition of the Skull Ridge member of the Tesuque Formation, Española Basin, New Mexico, N. M. Geol., 23, 30-37.
14. 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.
15. Ritzi, R. W. (2000), Behavior of indicator semivariograms and transition probabilities in relation to the variance in lengths of hydrofacies, Water Resour. Res., 36(11), 3375-3381.
16. Ritzi, R. W., Z. Dai, D. F. Dominic, and Y. Rubin (2002), Spatial structure of permeability in relation to hierarchical sedimentary architecture in buried-valley aquifers: Centimeter to kilometer scales, in Bridging the Gap Between Measurements and Modeling in Heterogeneous Media [CD-ROM], edited by A. Findikakis, Lawrence Berkeley Natl. Lab., Berkeley, Calif.
17. Ritzi, R. W., Z. Dai, D. F. Dominic, and Y. Rubin (2004), Spatial correlation of permeability in cross-stratified sediment with hierarchical architecture, Water Resour. Res., 40, W03513, doi:10.1029/2003WR002420.
18. Rubin, Y. (1995), Flow and transport in bimodal heterogeneous formations, Water Resour. Res., 31(10), 2461-2468.
19. Rubin, Y. (1997), Transport of inert solutes by groundwater: Recent developments and current issues, in Subsurface Flow and Transport: A Stochastic Approach, edited by G. Dagan and S. P. Neuman, pp. 115-132, Cambridge Univ. Press, New York.
20. Smith, G. A. (2000), Recognition and significance of streamflow-dominated piedmont facies in extensional basins, Basin Res., 12, 399-412.
21. White, C. D., and B. J. Willis (2000), A method to estimate length distributions from outcrop data, Math. Geol., 32, 389-419.
22. Woodbury, A. D., and E. A. Sudicky (1991), The geostatistical characteristics of the Borden aquifer, Water Resour. Res., 27(4), 533-546.
23. Zhang, D. (2002), Stochastic Methods for Flow in Porous Media: Coping With Uncertainties, 350 pp., Elsevier, New York.