The Kappa model of probability and higher-order rock sequences

Computational Geosciences

Volumn 15, Issue 4, 2011, Pages 661-671

  Vargas Guzman J A ^a  

^a NONE   (Saudi Arabia)

Author keywords

Bayesian conditional probability; Categorical variables; Clastic reservoirs; Cumulants; Dunes; Facies; Geobodies; Higher order geostatistics; Multipoint statistics; Rock bodies; Sequence stratigraphy; Tau model; Transition probability

Indexed keywords

BAYESIAN ANALYSIS; CLASTIC ROCK; DEPOSITIONAL ENVIRONMENT; DUNE; FACIES ANALYSIS; GEOSTATISTICS; NUMERICAL MODEL; PROBABILITY; RESERVOIR ROCK; SEQUENCE STRATIGRAPHY;

EID: 80053113522     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10596-011-9234-6     Document Type: Article

References (13)

1. Fisher, R. A.: Moments-and-product moments of sampling distributions. Proc. Lond. Math. Soc. Ser. 2, vol. 30, pp. 199-238. University of Adelaide Press (1972) (Reprinted In: Bennett, J. H. (ed.) Collected Papers of RA Fisher, vol. 2, pp. 351-354 (1929)).
2. Galloway, W. E.: Process framework for describing the morphologic and stratigraphic evolution of deltaic depositional systems. In: Broussard M. L. (ed.) Deltas: Houston Geological Society, pp. 87-98 (1975).
3. Guardiano, F., Srivastava, R. M.: Multivariate geostatistics: beyond bivariate moments. In: Soares A (ed.) Geostatistics Troia, vol 1., pp. 133-144. Kluwer, Dordrecht (1993).
4. Journel, A. G., Alabert, F.: Non-Gaussian data expansion in the earth sciences. Terra Nova 1(1), 123-134 (1989).
5. Journel, A. G.: Combining knowledge from diverse sources: an alternative to traditional data independence hypotheses. Math. Geol. 34(4), 573-596 (2002).
6. Krumbein, W. C., Dacey, M. F.: Markov chains and embedded Markov chains in geology. Math. Geol. 1(1), 79-96 (1961).
7. Mitchum, R. M., van Wagoner, J. C.: High frequency sequences and their stacking patterns: sequence-stratigraphic evidence of higher-frequency eustatic cycles. J. Sediment. Geol. 70, 131-160 (1991).
8. Nikias, C. L., Petropulu, A. P.: Higher order spectra analysis: a nonlinear signal processing framework. Prentice Hall, New York (1993).
9. Ravenne, C., Galli, A., Dolingez, B., Beucher, H., Eschard, R.: Quantification of facies relationships via proportion curves. In: Armstrong, M., Bettini, C., Champigny, N., Galli, A., Remacre, A. (eds.) Geostatistics Rio 2000, pp. 19-39. Kluwer, Dordrecht (2002).
10. Strebelle, S.: Conditional simulation of complex geological structures using multiple-point statistics. Math. Geol. 34(1), 1-21 (2002).
11. VanWagoner, J. C., Mitchum, R. M., Campion, K. M., Rahmanian, V. D.: Siliciclastic sequence stratigraphy in well logs, cores, and outcrops: concepts for high-resolution correlation of time and facies. AAPG Methods in Exploration Series 7 (1990).
12. Vargas-Guzmán J. A., Qassab, H.: Spatial conditional simulation of facies objects for modeling complex clastic reservoirs. J. Petrol. Sci. Eng. 54, 1-9 (2006).
13. Vargas-Guzmán J. A.: Higher-order spatial estimation and stochastic simulation of continuous properties with cumulants and higher order non-Gaussian distributions. In: Ortiz J, Emery X. (eds.) Geostats 2008, pp. 429-438. Gecamin, University of Chile (2008).