Testing the randomness of lithostratigraphic successions with the Markov Chain methods

Abstract

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.