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Simulation of 2D Nonlinear Manifestations in a Layered-Block Medium with Hierarchical Inclusions

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Document pages: 7 pages

Abstract: The geological environment is an open system that can be influenced byexternal and internal factors. They can lead it to an unstable state, which, asa rule, manifests itself locally in the form of zones called dynamically activeelements, by which it is possible to identify, on the one hand, potentialcatastrophic sources that disrupt the technological process when mining therock massif; оn the other hand, when producing oil from wells,this process can contribute to improving the movement of oil inclusions in theplastic environment of the reservoir. These objects, both in the rock massifand in the oil reservoir, differ from the host geological environment in theirstructural forms, which are often hierarchical forms. The process of theirnonlinear activation can be observed using borehole monitoring of acousticlongitudinal and transversal waves, for the mathematical support of which new2D modeling algorithms have been developed in that paper using the method ofintegral and integro-differential equations with the inclusion of nonlinearterms in the dependence of the wave parameter on frequency. When interpretingthe results of acoustic monitoring, it is necessary to use the data of suchobservation systems that are configured to study the hierarchical structure ofthe environment.

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