Место издания:Samarkand State University, Uzbekistan
Первая страница:54
Последняя страница:54
Аннотация:The presentation will be devoted to an overview of mathematical models [1-3] and applied problems in mathematical modeling of geomechanical processes occurring in rocks during exploration and development of reservoirs, mining and geotechnical works. These problems were solved using CAE Fidesys [4], which allows solving static and dynamic problems of geomechanics and geotechnics using spectral element method (SEM) of variable order of space approximation [5]. High-precision modeling of the interaction of rock and the saturating fluid (FSI) during the development of a reservoir and geotechnical works plays an important role in modeling various multiscale and multiphysical processes, such as deformation of geological layers, subsidence of the free surface, stability of the wellbore and quarry walls, sand flow, closure/opening of pores, shear deformation along a fault, methane release during mining operations and hydrocarbon production.In the modeling of hydrocarbon production, the following main areas can be distinguished, in which the consideration of geomechanical processes and their correct description based on modern numerical methods can significantly improve the efficiency of technological operations carried out at the fields: modeling of drilling processes, hydraulic fracturing and geomechanical modeling of the reservoir during its development. The presentation will consider models and methods for multiscale geomechanical modeling that allow describing elastic, thermoelastic, thermoelastoplastic and poroelastoplastic deformations in the reservoir, which are integrated into the engineering analysis software CAE Fidesys for solving various problems in the field of geotechnical, oil and gas and mining engineering. Examples of solved problems using the Drucker-Prager, Mohr-Coulomb, Hooke-Brown mathematical models used in practice to describe the deformation of rocks and soils will be considered. Also a modification of the elastic-plastic mathematical model and a numerical algorithm based on it with the inclusion of poroelastic characteristics of the rock and the possibility of specifying pore pressure in the model will be discussed. This modification allows more accurate modeling of the stress-strain state of the rock formation taking into account the pressure of the saturating fluid and assessing its stability. The relevance and practical significance of this modeling is due to the need to avoid instability of the wellbore/quarry wall, as well as to reduce the risks of spontaneous collapse, the formation of excess and reduced pressure during drilling.
