Theories of Probability, Information and Graphs in Applied Geophysics

The possible ways for formalization of geophysical-geological investigations are outlined. It is shown that all the available geophysical-geological information can be represented by the classic three-level model. The main aim of the paper is a
problem of determination of set of means composing the notion Prime Archives in Applied Mathematics 2 www.videleaf.com “geophysical-geological prospecting” (relative to some fixed feature) by assumed reliabilities of the means. The reliability of geological prospecting means is considered at the level of local
determination. Reliabilities of information obtaining by separate mean and set of means are analyzed in detail. Suggested procedure of determining reliability for means and sets of means relative to feature are based on improved methodology of conditional probability utilization. The ways providing the increment of reliability of geological means are proposed. The applicability of proposed methods is shown on simplified examples. Estimating the efficiency of individual geophysical methods and their combination is analyzed. Practical employment of probabilities of type I and type II errors are shown. A selection of number of geophysical methods to solving different problems usually has no theoretical substantiation. The solution to this “four color” mathematical problem enables to
assume that two independent geophysical methods are sufficient theoretically to characterize the geological-geophysical peculiarities of the area under study.