ESTABLISHMENT AND DEVELOPMENT OF NON-CLASSICAL LINEARIZED APPROACH FOR STUDYING OF THE EARTH SCIENCES PROBLEMS (Review)

Abstract

The work was devoted to the review of publications dedicated to the new non-classical approach of studies of various problems of the Earth Sciences. The integrated interdisciplinary approach was based on the nonlinear theory of deformation of continuous solid media. Various specific tasks of mining mechanics, the internal structure and dynamics of the Earth, seismology, geophysics, seismic exploration were studied using the established approach. The deformation process of three-dimensional bodies with fractures and cavities of non-circular cross section was studied. The mathematical three-dimensional theory of stability of wells was established. The theoretical bases of studies on the problem of geodynamic-tectonic and structural evolution of the
Earth were developed. The basic principles of construction of the non-classical approach were given. The problems of different scale structure formations were studied from the standpoint of the new approach. The processes of structure formations in the sedimentary cover due to the prediction of oil and gas content were studied. Near-surface and near-fault structure formations were considered. The features of the deformation processes in the formation of internal structures and dynamics of the Earth
were shown. Geodynamic aspects of earthquakes and destruction mechanics of deformable solids were studied within the concept of instability. Theoretical bases of seismogelogical model of the geological medium were developed on the base of
propagation of elastic waves in the stress nonlinear anisotropic media. The seismic anisotropy and influence of deformation on values of elastic parameters of the geological medium were studied on the basis of seismic and well data considering the current geodynamics.