Principles of the non-Euclidian model application to the problem of dissipative mesocracking structures of highly compressed rock and massifs modelling

Mikhail Guzev,Vladimir Makarov,I Rasskazov,S Tkach,S Kornilkov

doi:10.1051/e3sconf/20185602001

Abstract

New experimental results such as “zonal disintegration” around deep openings and “reversible deformations” of highly compressed rock samples cannot be described correctly from contemporary rock mechanics, which is based on the principals of classical Continuum Mechanics theory. A new approach to rock mechanics mathematical models consists of the application of non-Euclidian modelling to the problem of the description of anomalous experimental results. This leads to the formation of the “Geomechanics of Highly Compressed Rock and Rock Massifs” - a new branch of the existing theory of Geomechanics - in which framework a radical rise in geodynamical phenomena forecasting can be achieved. Principles of the geomechanics of highly compressed rock and rock massifs are discussed in this paper. The effectiveness of the application of non-Euclidian modelling to the anomalous experimental effects observed in research is demonstrated on two hierarchical geomedia block levels such as rock samples and rock massif around underground openings.

Highlights

Research on the deformation and failure relationships of rock massifs, which are in conditions of high compression – exceeding the strength by one half – has shown two noteworthy experimentally determined abnormal phenomena: the reversible deformation of rock samples [1,2,3] and the zonal character of the deformation and failure of the rock massif around underground openings [4, 5] (Fig. 1)
The method of the Geomechanics of Highly Compressed Rock and Rock Massifs consists of the representation of hierarchical block geomedia by a system of non-Euclidian models and the replacement of mesodefective structures in each hierarchical level of the defective media by a model of the continuous media in which the presence of defects is replaced with a condition of curvature of the model space [21, 22], and the occurrence of macrodefects is defined by a system of strength criteria [20]
Main principle of geomechanics of highly compressed rock and rock mass is the principle of non-Euclidian hierarchy of geomedium, i.e. replacement of block hierarchical medium by continuous hierarchically structured medium with the non-Euclidian metrics, where transition between structural levels is defined by condition criteria corresponding to the meso-macro-meso process

Summary

Introduction

Research on the deformation and failure relationships of rock massifs, which are in conditions of high compression – exceeding the strength by one half – has shown two noteworthy experimentally determined abnormal phenomena: the reversible deformation of rock samples [1,2,3] and the zonal character of the deformation and failure of the rock massif around underground openings [4, 5] (Fig. 1). Localization of the defect appearance processes, in turn, has led to the mesomechanics representation in which attention has been focussed on the processes of formation and development of the various types mesostructures in a continuum media with defects, which are the areas prepared for the occurrence of macrodefects [13,14,15]. A rock massif under the conditions found at great depths can be represented as an open nonequilibrium thermodynamics system of defective media [16, 17]. The development of a new model of a rock massif, which is under the conditions found at great depths, has demanded the creation of a theoretical base corresponding to the new requirements, discovering new, abnormal from the point of view of the existing theory, the phenomena of deformation and destruction of rock

Non-Euclidian model to simulate anomalous geomedia phenomena

Principles of the Geomechanics of Highly Compressed Rock and Rock Massifs

Formation of a new scientific branch of Geomechanics

Findings

Conclusion