Patent RU-2565390-C2 (RU)
Inventor: KHRUSTALEV EVGENIJ NIKOLAEVICH
IPC: E02D1/00
Filed: 2013-12-03
Granted: 2015-10-20
Abstract: FIELD: physics. 
     SUBSTANCE: invention refers to physics of material contact interaction of a both natural, and damaged ponderable medium in mass and at a crest of slopes. The parameters of an angle of internal friction φ str  and a specific cohesion с str  of the sampled medium taken at a depth h of the ponderable material mass are determined in the laboratory environment. The dependences φ d =arcsin[2sinφ str /(1+sin 2 φ str )]- φ str , c d =c str [2-tgφ d /tgφ str ] are used to derive the parameters of an angle of internal friction and a specific cohesion of the structurally damaged medium at a survey depth respectively, wherein p n =(γ str h-c str )ctgφ str  is a natural pressure at the depth h. A tangential natural pressure at the depth h is defined as τ xy =p x =p y =γ str h·cos 2 φ str . The dependence derived by the author is used to determine the parameters of a coefficient of general lateral pressure of the medium at rest          ζ   0     s   t   r       =   0,5   sin   2     φ     s   t   r       ,         
 at damaged natural mass structure          ζ   0   d     =   0,5   sin   2     φ   d     ,         
 in open pit walls          ζ     0   a   t   m       s   t   r       =     γ     s   t   r       h   ⋅   cos     φ     s   t   r       /     [       (       γ     s   t   r       h   −     c     s   t   r         )     c   t   g     φ     s   t   r       +     p     a   t   m         ]     =         c     s   t   r           cos     2       φ     s   t   r         (     1   +   sin     φ     s   t   r         )           c     s   t   r       cos     φ     s   t   r         (     1   −   sin     φ     s   t   r         )     +     p     a   t   m         (     1   +       sin     2       φ     s   t   r         )               
 and in open pit walls with damaged structure          ζ     0   a   t   m     d     =     γ   d     h   ⋅       cos     2       φ   d     /     [       (       γ   d     h   −     c   d       )     c   t   g     φ   d     +     p     a   t   m         ]     =         c   d         cos     2       φ   d       (     1   +   sin     φ   d       )           c   d     cos     φ   d       (     1   −   sin     φ   d       )     +     p     a   t   m         (     1   +       sin     2       φ   d       )         .         
 Coefficients of general relative lateral distortion of the medium mass are determined according to the dependence derived by the author          ν   0     s   t   r       =   sin   2     φ     s   t   r       /     (     2   +   sin   2     φ     s   t   r         )     ,                   ν   0   d     =   sin   2     φ   d     /     (     2   +   sin   2     φ   d       )           
 respectively,              ν     0   a   t   m       s   t   r       =     γ     s   t   r       h   ⋅   cos     φ     s   t   r       /     [       (       γ     s   t   r       h   −     c     s   t   r         )     c   t   g     φ     s   t   r       +     γ     s   t   r       h   ⋅       cos     2       φ     s   t   r       +     p     a   t   m         ]     =           =         c     s   t   r           cos     2       φ     s   t   r         (     1   +   sin     φ     s   t   r         )           c     s   t   r       cos     φ     s   t   r         (     1   −   sin     φ     s   t   r         )     +     c     s   t   r           cos     2       φ     s   t   r         (     1   +   sin     φ     s   t   r         )     +     p     a   t   m         (     1   +       sin     2       φ     s   t   r         )                   
 in side walls of an open pit,              ν     0   a   t   m     d     =     γ   d     h   ⋅   cos     φ   d     /     [       (       γ   d     h   −     c   d       )     c   t   g     φ   d     +     γ   d     h   ⋅       cos     2       φ   d     +     p     a   t   m         ]     =           =         c   d         cos     2       φ   d       (     1   +   sin     φ   d       )           c   d     cos     φ   d       (     1   −   sin     φ   d       )     +     c   d         cos     2       φ   d       (     1   +   sin     φ   d       )     +     p     a   t   m         (     1   +       sin     2       φ   d       )         ,             
 wherein p atm =1.033 kg/cm 2  is a normal atmospheric pressure on the material medium,          γ   d     =         p   n     t   g     φ   d     +     c   d       h           
 is a specific gravity of the damaged medium. 
     EFFECT: more informative and reliable determination is achieved. 
     3 cl, 3 ex, 2 dwg