Pendulum waves and basics of «geomechanical thermodynamics»

作     者：V.N.Oparin 

作者机构：N.A.Chinakal Institute of Mining SB RASNovosibirsk630091Russia 

出 版 物：《Geohazard Mechanics》 (岩土灾变力学（英文）)

年 卷 期：2023年第1卷第1期

页      面：38-52页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：support of Russian Foundation for Basic Research(project No.20-05-00051) 

主　　题：Geomechanical thermodynamics Pendulum waves Energy approach Geomechanical and thermodynamic stages Geomechanical temperature Block-hierarchical structure 

摘      要：It is shown that modern achievements in the field of experimental and theoretical researches and developments of innovative measuring systems for monitoring of non-linear dynamic and kinematic characteristics allow to formulate basics of new academic discipline,designated as“geomechanical thermodynamics.The following circumstances can be considered as the most important prerequisites for development of this new discipline.(1)Practical completeness of the classical thermodynamics,based on kinetic gas theory and molecular movements in solid bodies;(2)Creation of“formular construction toolfor the description of dynamic and kinematic characteristics of pendulum waves and energy conditions of their occurrence and propagation from dynamic sources,located in multi-phased stressed rock mass and geomaterials with block-hierarchical structure;(3)Principal opportunity to establish formal relations between substantial energy carriers of“packagesof nonlinear pendulum waves(geoblocks of certain hierarchical levels according to their diameters)and“molecules:their movement,velocity and acceleration of the“molecules↔“geoblock;“force interactions between molecules↔“non-linear elastic interaction between geoblocks,*** term of“geomechanical temperatureis introduced and its analytical expression,which is proportional to kinetic energy of movement of geoblocks with defined volume for their hierarchical subsequence at“confinedconditions of the stressed rock mass,is *** similar aspects are discussed,when emission acousticelectromagnetic fields are fixed using corresponding coefficients of mechanical-electrical and mechanicalacoustic *** order to quantitively describe the evolution of energy state of local zones of stressstrain concentration and surroundings of their non-linear influence from catastrophic events at the natural and mine-engineering systems(earthquakes,rock bursts,etc.),the terms of their geomechanical and thermodynamic stages are introduced