A Markov chain model for subsurface characterization: Theory and applications

Mathematical Geology

Volumn 33, Issue 5, 2001, Pages 569-589

  Elfeki, Amro ^a,b   Dekking, Michel ^c  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b University of Mansoura   (Egypt)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Conditioning; Geological heterogeneity; Geostatistics; Markov chains; Reservoir characterization

Indexed keywords

EID: 0000939226     PISSN: 08828121     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011044812133     Document Type: Article

References (16)

1. Billingsley, P., 1995, Probability and measure: third edition: Wiley - Interscience, New York, 515 p.
2. Carle, S. F., 1996, A transition probability-based approach to geostatistical characterization of hydrostratigraphic architecture: unpubl. doctoral dissertation, University of California - Davis, 182 p.
3. Carle, S. F., and Pogg, G. E., 1996, Transition probability-based indicator geostatistics: Math. Geology, v. 28, no. 4, p. 453-477.
4. Chessa, A. G., 1995, Conditional simulation of spatial stochastic models for reservoir heterogeneity: unpubl. doctoral dissertation, Delft University of Technology, Delft University Press, Delft, The Netherlands, 174 p.
5. Chessa, A. G., and Martinius, A. W., 1992, Object-based modeling of the spatial distribution of fluvial sandstone deposits, in Christie, M. A., Da Silva, P. V., Farmer, C. L., Guillon, O., Heinemann, Z. E., Lemonnier, P., Regtien, J. M. M., and Van Spronsen, E., eds., Proc. 3rd Eur. Conf. on the Mathematics of Oil Recovery: Delft University Press, The Netherlands, p. 5-14.
6. Deutsch, C. V., and Journel, A. G., 1992, GSIB; Geostatistics Software Library and user's guide: Oxford University Press, New York, 340 p.
7. Elfeki, A. M. M., 1996, Stochastic characterization of geological heterogeneity and its impact on groundwater contaminant transport: unpubl. doctoral dissertation, Delft University of Technology, Balkema Publisher, The Netherlands, 301 p.
8. Galbraith, R. F., and Walley, D., 1976, On a two-dimensional binary process: Journal of Applied Probability, v. 13, p. 548-557.
9. Gozalo, M., and Martinus, A., 1993, Outcrop data-base for the geological characterization of fluvial reservoirs: An example from distal fluvial fan deposits in Loranca Basin, Spain, in North, C. P., and Prosser, D., eds., Characterization of fluvial and aeolian reservoirs: Geological Society Special Publication No. 73, London, p. 79-94.
10. Haldorsen, H. H., and Damsleth, E., 1990, Stochastic modeling: Journal of Petroleum Technology, v. 42, no. 4, April, p. 404-412.
11. Krumbein, W. C., 1967, Fortran computer programs for Markov chain experiments in geology: Computer Contribution 13, Kansas Geological Survey, Lawrence, KS.
12. Lin, C., and Harbaugh, J. W., 1984, Graphic display of two- and three-dimensional Markov computer models in geology: Van Nostrand Reinhold, New York, 180 p.
13. Martinius, A. W., 1996, The sedimentological characterization of Labyrinthine fluvial reservoir analogues: unpubl. doctoral dissertation, Delft, The Netherlands, 300 p.
14. Moss, B. P., 1990, Stochastic reservoir description: A methodology, in Hurst, A., Lovell, M. A., and Morton, A. C., eds., Geological applications of wireline logs: Geological Society of London, Special Publication 48, p. 57-75.
15. Neuman, S. P., 1980, A statistical characterization of aquifer heterogeneity: an overview, in Narasimhan, T. N., ed., Recent trends in hydrogeology, Special Paper Number 189, Geological Society of America, Boulder CO, p. 81-102.
16. Pickard, D. K., 1980, Unilateral Markov fields: Advances in Applied Probability, v. 12, p. 655-671.