Information entropy to measure temporal and spatial complexity of unsaturated flow in heterogeneous media

Water Resources Research

Volumn 38, Issue 12, 2002, Pages 49-1-49-11

  Mays, David C ^a,b   Faybishenko, Boris A ^a   Finsterle, Stefan ^a  

^a LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

^b Berkeley   (United States)

Author keywords

Complexity; Information entropy; Unsaturated flow

Indexed keywords

CAPILLARITY; GEOLOGY; GRAVITATION; POROUS MATERIALS; PROBABILITY DISTRIBUTIONS; ROCKS;

INFORMATION ENTROPY;

FLOW OF FLUIDS;

ENTROPY; HETEROGENEOUS MEDIUM; POROUS MEDIUM; UNSATURATED FLOW;

COMPLEXITY; ENTROPY; HETEROGENEOUS MEDIUM; SPATIOTEMPORAL ANALYSIS; UNSATURATED FLOW;

EID: 0036998849     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2001wr001185     Document Type: Article

References (27)

1. Amorocho, J., and B. Espildora, Entropy in the assessment of uncertainty in hydrologic systems and models, Water Resour. Res., 9(6), 1511-1522, 1973.
2. Chapman, T. G., Entropy as a measure of hydrologic data uncertainty, J. Hydrol., 85, 111-126, 1986.
3. Crepeau, J. C., and L. K. Isaacson, On the spectral entropy behavior of self-organizing systems, J. Non Equil. Thermodyn., 15, 115-126, 1990.
4. Dahan, O., R. Nativ, E. Adar, B. Berkowitz, and N. Weisbrod, On fracture structure and preferential flow in unsaturated chalk, Ground Water, 38(3), 444-451, 2000.
5. Delay, F., and J. L. Lamotte, Numerical simulations of geological reservoirs: Improving their conditioning through the use of entropy, Math. Comput. Simulat., 52, 311-331, 2000.
6. Deutsch, C. V., and A. G. Journel, GSLIB: Geostatistical Software Library' and User's Guide, Oxford Univ. Press, New York, 1992.
7. Domenico, P. A., Concepts and Models in Groundwater Hydrology, pp. 57-72, McGraw-Hill, New York, 1972.
8. Faybishenko, B. A., Scientific-methodological justification for the investigation of water-salt budget in soils on irrigated areas (in Russian), D.Sc. thesis, Moscow State Univ. of Environ. Eng., Moscow, 1988.
9. Faybishenko, B. A., C. Doughty, M. Steiger, J. Long, T. Wood, J. Jacobsen, J. Lore, and P. Zawislanski, Conceptual model of the geometry and physics of water flow in a fractured basalt vadose zone, Water Resour. Res., 36(12), 3499-3522, 2000.
10. Fischer, H. B., J. L. List, N. H. Brooks, J. I. Imberger, and R. C. Y. Koh, Mixing in Inland and Coastal Waters, Academic, San Diego, Calif., 1979.
11. Glass, R. J., and M. J. Nicholl, Physics of gravity fingering of immiscible fluids within porous media: An overview of current understanding and selected complicating factors, Geoderma, 70(2-4), 133-163, 1996.
12. Husain, T., Hydrologic uncertainty measure and network design, Water Resour. Res., 25(3), 527-534, 1989.
13. Jury, W. A., and Z. Wang, Unresolved problems in vadose zone hydrology and contaminant transport, in Dynamics of Fluids in Fractured Rock, Geophys. Monogr. Ser., vol. 122, edited by B. Faybishenko, P. A. Witherspoon, and S. M. Benson, pp. 67-72, AGU, Washington, D. C., 2000.
14. Lee, Y. M., and J. H. Ellis, On the equivalence of kriging and maximum entropy estimators, Math. Geol., 29(1), 131-152, 1997.
15. Leverett, M. C., Capillary behavior in porous solids, T. Soc. Petrol. Eng., 142, 152-169, 1941.
16. Luckner, L., M. T. van Genuchten, and D. Nielsen, A consistent set of parametric models for the two-phase flow if immiscible fluids in the subsurface, Water Resour. Res., 25(10), 2187-2193, 1989.
17. Nativ, R., E. Adar, O. Dahan, and M. Geyh, Water recharge and solute transport through the vadose zone of fractured chalk under desert conditions, Water Resour. Res., 31(2), 253-261, 1995.
18. Persoff, P., and K. Pruess, Two-phase flow visualization and relative permeability measurement in natural rough-walled rock fractures, Water Resour. Res., 31(5), 1175-1186, 1995.
19. Podgomey, R., T. Wood, B. Faybishenko, and T. Stoops, Spatial and temporal instabilities in water flow through variably saturated fractured basalt on a one-meter scale, in Dynamics of Fluids in Fractured Rock, Geophys. Monogr. Ser., vol. 122, edited by B. Faybishenko, P. A. Witherspoon, and S. M. Benson, pp. 129-146, AGU, Washington, D. C., 2000.
20. Pruess, K., C. Oldenburg, and G. Moridis, TOUGH2 user's guide, version 2.0, LBNL-43134, Lawrence Berkeley Natl. Lab., Berkeley, Calif., 1999.
21. Shannon, C. E., and W. Weaver, The Mathematical Theory of Communication, Univ. of Ill. Press, Urbana, 1949.
22. Shaw, R., The Dripping Faucet as a Model Chaotic System, Aerial, Santa Cruz, Calif., 1984.
23. Singh, V. P., and M. Fiorentino, A historical perspective of entropy application in water resources, in Entropy and Energy Dissipation in Water Resources, edited by V. P. Singh and M. Fiorentino, pp. 21-61, Kluwer Acad., Norwell, Mass., 1992.
24. Su, G. W., J. T. Geller, K. Pruess, and F. Wen, Experimental studies of water seepage and intermittent flow in unsaturated, rough-walled fractures, Water Resour. Res., 35(4), 1019-1037, 1999.
25. Tsonis, A. A., Chaos: From Theory to Applications, Plenum, New York, 1992.
26. Woodbury, A. D., and T. J. Ulrych, Minimum relative entropy inversion: Theory and application to recovering the release history of a groundwater contaminant, Water Resour. Res., 32(9), 2671-2681, 1996.
27. Woodbury, A. D., and T. J. Ulrych, Reply to comment by Z. J. Kabala and T. H. Skaggs on "Minimum relative entropy inversion: Theory and application to recovering the release history of a groundwater contaminant", Water Resour. Res., 34(8), 2077-2079, 1998.