Mathematical Search Procedures in Facies Modeling in Sedimentary Rocks
Lack of a standard or generally accepted method of mathematically defining facies from a set of attributes in sedimentary rocks makes a priori selection of a particular method difficult. It is proposed that different combinations of alternative classificatory techniques, leading to competitive classifications, be used to arrive at the first approximations of the facies model. An assessment of these models then can be made, and the “best” one selected further improved on the basis of intuitively appealing objective criteria. These search procedures relieve the investigator of the rigidity of a particular method and also place his empirical facies model on a more rational basis in retrospect, allowing more meaningful interpretations. These principles are illustrated in a facies study of Pennsylvanian carbonate rocks (from southeastern Utah) in which principal component analysis, Euclidean distance function, standardization, and weighted and unweighted pair-group methods, are among the classificatory schemes employed in facies construction.
KeywordsSearch Procedure Variable Variable Preliminary Model Score Matrix Left Margin
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