mathematical modeling

The article reviews an actual problem of informative possibility of AVO-analysis based on synthetic model with close approximation to the real geological media. The data obtained by mathematical modeling of effective elastic and acoustic properties of granite with different structure of fractures demonstrate the possibility of AVO-analysis for exploration deconsolidated gas saturated and oil-saturated zones of basement.

Purpose. The aim of this work was to evaluate changes in the transfer characteristics of the seismic environment with additional loading of massive engineering structures. This analysis will help to more accurately assess the characteristics of sedimentary layer in the study of the transfer characteristics of environment under the engineering structures already at the design stage of construction. Methodology. Frequency characteristic of environment was obtained by solving the direct dynamic seismic problem.

The paper suggests a logical mathematical method for evaluation factors of developing water erosive processes. The basis of this the determination of priority relations through a set of alternatives in case of constructing a mathematical model of real situation.