TITLE:
Simulation of 2D Nonlinear Manifestations in a Layered-Block Medium with Hierarchical Inclusions
AUTHORS:
Olga Hachay, Andrey Khachay
KEYWORDS:
New Algorithms, Nonlinear Terms, Hierarchical Inclusions, Acoustic Waves
JOURNAL NAME:
Open Journal of Geology,
Vol.10 No.11,
November
9,
2020
ABSTRACT: The geological environment is an open system that can be influenced by
external and internal factors. They can lead it to an unstable state, which, as
a rule, manifests itself locally in the form of zones called dynamically active
elements, by which it is possible to identify, on the one hand, potential
catastrophic sources that disrupt the technological process when mining the
rock massif; оn the other hand, when producing oil from wells,
this process can contribute to improving the movement of oil inclusions in the
plastic environment of the reservoir. These objects, both in the rock massif
and in the oil reservoir, differ from the host geological environment in their
structural forms, which are often hierarchical forms. The process of their
nonlinear activation can be observed using borehole monitoring of acoustic
longitudinal and transversal waves, for the mathematical support of which new
2D modeling algorithms have been developed in that paper using the method of
integral and integro-differential equations with the inclusion of nonlinear
terms in the dependence of the wave parameter on frequency. When interpreting
the results of acoustic monitoring, it is necessary to use the data of such
observation systems that are configured to study the hierarchical structure of
the environment.