Testing the randomness of lithostratigraphic successions with the Markov Chain methods

• Autorzy: Doktor M. , Krawczyk A. , Mastej W.
• Języki publikacji: EN

Abstrakty

EN

The crucial role in the studies on layer successions in lithostratigraphic sections with the application of stochastic model of depositional processes represented by the Markov chain is played by correct estimation of the matrix of transition numbers between lithofacies expected in a random sequence. Methods known from the literature are iteration procedures, which do not ensure quick, general solution. Hence, we propose a universal method based upon the Monte Carlo simulation technique. This method enables the researcher to estimate precisely and reliably the expected matrix of facies transitions.

Słowa kluczowe

EN

Markov chain methods; Monte Carlo methods; coal-bearing successions

• Wydawca: Polskie Towarzystwo Geologiczne
• Czasopismo: Annales Societatis Geologorum Poloniae
• Rocznik: 2010
• Tom: Vol. 80, No 2
• Strony: 163--166
• Opis fizyczny: Bibliogr. 13 poz., tab.

Twórcy

autor

Doktor M.

autor

Krawczyk A.

autor

Mastej W.

• AGH University of Science and Technology, Faculty of Geology, Geophysics and Environmental Protection, al. Mickiewicza 30, 30-059 Kraków, Poland,

Bibliografia

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• 3. Davis, J.C., 2002. Statistics and Data Analysis in Geology. Wiley & Sons, New York, 678pp.
• 4. Gingerich, P. D., 1969. Markov analysis of cyclic alluvial sediments. Journal of Sedimentary Petrology, 39(1): 330-332.
• 5. Goodman, L. A., 1968. The analysis of cross-classified data. Journal of the American Statistical Association, 63(324): 1091-1131.
• 6. Krumbein, W.C., 1967. FORTRAN IV computer programs for Markov chain experiments in geology. Kansas Geol. Survey Comp. Contr., 13, 38pp.
• 7. Krumbein, W. C. & Dacey, M.F., 1969. Markov chains and embedded Markov chains in geology. Journal of the International Association for Mathematical Geology, 1(1): 79-96.
• 8. Potter, P.E. & Blakely, R.G., 1967. Generation of a synthetic vertical profile of a fluvial sandstone body. Society of Petroleum Engineers Journal, 7: 243-251.
• 9. Potter, P.E. & Blakely, R.G., 1968. Random processes and lithologic transitions. Journal of Geology, 76(2): 154-170.
• 10. Powers, D. W. & Easterling, R.G., 1982. Improved methodology for using embedded Markov chains to describe cyclical sediments. Journal of Sedimentary Petrology, 52(3): 913-923.
• 11. Read, W. A., 1969. Analysis and simulalion of Namurian sediments in central Scotland using a Markov-process model. Journal of the International Association for Mathematical Geology, 1(2): 199-219.
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• 13. Vistelius, A.B. & Feygelson, T.S., 1965. Stratification theory. (In Russian, English summary). Doklady Akademii Nauk SSSR, 164: 20-22.