STOCHASTIC MODELING OF ROCK SYSTEMS

Abstract

Observation of lithologic sequences which are repetitive in nature is very common. These are the direct manifestation of geologic history of the region concerned. Such repetition of sequence is highly prevailing in sedimentary rocks but have also although rarely been observed in igneous settings. The reason for this repetition of sequences can sometimes be the inter-relation between the concerned layers. The mathematical verification for this inter link can be done in variety of \ays. One such method is Markov chain analysis method. This method has extensively been used in sedimentary environment for variety to purposes like linding inter-relation, cyclicity, etc. But the method has rarely been applied to the igneous environments. So. the objective of the present work is to utilize Markov tools in Bushveld and Stiliwater Igneous complexes, which are layered igneous intrusion and mathematically verif' if there exists any inter-relation between the layers of these complexes. In order to check for the inter-relation the transitions in stratigraphy are transfirred to relevant matrices and ultimately chi-squared test is applied to test for the hypothesis that the layers are independent. Ihe results obtained indicated that although the two regions are similar as both are layered intrusion. but mathematically the layers of Bushveld complex are independent of each other on the other hand at Stiliwater layers show dependence of 1t order. i.e., there exist a statistical dependence between a layer and its immediate predecessor.