Механика очага землятресения. Спецкурс. Воронина Е.В. - 60 стр.

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58
() ()
∂∂
µ+=µ
∂∂
, (12.6)
()
β
∂∆
τ=µ =µ
∂π
. (12.7)
.
()
β
∂∆
=⋅
∂π

−+


β

. (12.8)
=


β

Ω= ω




. (12.9)
y ω
()() ()

+− =


, (12.10)
= =
+
v
58

     GZijy`_gby ijb i_j_oh^_ q_j_a iehkdhklv jZaju\Z kqblZ_lky g_ij_
ju\guf lZd qlh \lhjh_ ]jZgbqgh_ mkeh\b_
                         ∂Z                 ∂Z
                     µ      ( [ + W ) = µ ( [ − W ) ,            (12.6)
                         ∂\                 ∂\
                                                    
                                               −
                                                  Y
                            ∂Z   ∆Z       β
hldm^Z ke_^m_l qlh τ \] = µ = µ               .                       (12.7)
                            ∂\   π ( [ − Y\ )

     GZijy`_gb_ h[jZsZ_lky \ gmev dh]^Z Y = β .
      Kdhjhklv kf_s_gby qZklbp
                                                  
                                                Y
                                          \Y  − 
                     ∂Z ∆Z                       β
                       =    ⋅                                 .        (12.8)
                     ∂W π                            Y  
                                  ( [ − YW ) + \   −  
                                                    β 
      HgZ [m^_l ^hklb]Zlv fZdkbfZevgh]h agZq_gby ijb [ = YW
      OZjZdl_j ihey kf_s_gbc \ [eb`g_c ahg_ jZkijhkljZgyxs_cky ^bk
ehdZpbb emqr_ \k_]h ijhy\ey_lky \ ki_dljZevghc h[eZklb Ki_dlj kdhjh
klb kf_s_gby jZ\_g
                                                    Y 
                                               −
                       ∆Z                         β 
                    Ω=    H[S −
                                        \⋅ω            .              (12.9)
                        
                             
                                                  Y 
                                                     
                                                     
      Hlkx^Z ke_^m_l qlh bf__l f_klh aZlmoZgb_ dZd ih y lZd b ih ω mdZ
au\Zxs__ gZ lh qlh ihe_ ij_^klZ\e_gh g_h^ghjh^gufb iehkdbfb \hegZ
fb Ihe_ [eb`g_c ahgu [ukljh aZlmoZ_l ijb m^Ze_gbb hl iehkdhklb jZa
ju\Z
      ?keb \\_klb nmgdpby gZqZeZ jZaju\Z lh ]jZgbqgh_ mkeh\b_ 
ijbf_l \b^
                Z ( [ + W ) − Z ( [ − W ) = ∆Z+  W − [  + ( [ ) , (12.10)
                                                 Y
                                     



qlh khhl\_lkl\m_l ih^\b`d_ \ \b^_ klmi_gqZlhc nmgdpbb gZqbgZxs_cky
ijb [ = \ fhf_gl W = b jZkijhkljZgyxs_cky \ gZijZ\e_gbb + [ kh kdh
                        

jhklvx v L_i_jv kf_s_gb_ g_ y\ey_lky klZpbhgZjguf \ ^\b`ms_cky kbk
l_f_ dhhj^bgZl >ey ihemq_gby j_r_gby g_h[oh^bfh \\_klb ij_h[jZah\Z