Open AccessApplication of a quasi-linear visco-elastic model for the creep of a non-heterogeneous geological media prediction
Author(s) -
B. P. Maslov
Publication year - 2019
Publication title -
vìsnik. serìâ fìziko-matematičnì nauki/vìsnik kiì̈vsʹkogo nacìonalʹnogo unìversitetu ìmenì tarasa ševčenka. serìâ fìziko-matematičnì nauki
Language(s) - English
Resource type - Journals
eISSN - 2218-2055
pISSN - 1812-5409
DOI - 10.17721/1812-5409.2019/1.28
Subject(s) - viscoelasticity , creep , rheology , nonlinear system , porous medium , laplace transform , permeability (electromagnetism) , fourier transform , mechanics , geology , basis (linear algebra) , computer science , geotechnical engineering , materials science , statistical physics , porosity , mathematics , mathematical analysis , physics , geometry , membrane , quantum mechanics , biology , composite material , genetics
The problem of computer modeling of physical and mechanical processes in geological environments whose properties change in time is considered. The theoretical substantiation of approaches to the method of constructing micromechanical geophysical models of a porous medium with a liquid is proposed. The analysis of the current state of the problem of construction of calculated nonlinear models of multiphase geological environments is carried out and the necessity of using nonlinear rheology approaches is indicated. The results obtained earlier within the elastic linear and nonlinear domains of the behavior of the medium are generalized to the case of visco-elastic quasilinear behavior. The method of identification of creep parameters and permeability of multiphase porous medium and forecasting algorithms is proposed on the basis of developed numerical-analytical modeling of effective physical and mechanical properties of fluid-saturated rocks. Considered variants of random or periodic microstructure. The model is based on the use of the fundamental relations of the mechanics of the viscoelastic continuous medium, integral Fourier transforms and Laplace-Carson using the corresponding numerical algorithms.