Механика очага землятресения. Спецкурс. Воронина Е.В. - 71 стр.

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69
d
yz
σ
()
1
c
x
σ
1
0
dx
−<
d
()
0
1
2
2
2
c
d
c
K x dx d
σ
=
π
π
. (16.2)
1
2
2
2
2
1
c
dv
G

σ
=−


µπ
β

. (16.3)
,,
c
Gd
σ
2
2
1
2
G
c
v
d
t
vv
πµ
β
==
σ
. (16.4)
3
10
G
=
2
, 10
c
σ=
9 2
9
10
t
=
                                                                                   69

]^_ σ yz d — gZijy`_gby \hagbdZxsb_
ih \k_c ^ebg_ lj_sbgu aZ kq_l ^bgZ
fbq_kdh]h lj_gby σc ( x1′ ) — gZijy`_
gb_ aZ kq_l kbe kp_ie_gby ^_ckl\mx
sb_ lhevdh gZ dhgp_ lj_sbgu
− d < x1′ ≤ 0  ?keb d — fZeh lh mijm]h_
ihe_ h[mkeh\e_ggh_ kbeZfb kp_ie_gby
gZ dhgp_ lj_sbgu g_ hdZau\Z_l kms_
kl\_ggh]h \ebygby gZ ihe_ \g_ wlhc
h[eZklb
       >ey ]jm[hc hp_gdb \ukhdbo qZk
lhl \ ki_dljZo k_ckfbq_kdbo dhe_[Z
gbc \ua\Zgguo jZkijhkljZg_gb_f
lj_sbgu [m^_f kqblZlv qlh kbeu kp_                       Jbk D hij_^_e_gbx kbe kp_i
                                                                                     

                                                            e_gby gZ jZaju\_
ie_gby jZ\ghf_jgh jZkij_^_e_gu \
dhgp_\hc ahg_ Lh]^Z dhwnnbpb_gl
bgl_gkb\ghklb
                          2
                                 0           2σc
                                   (   )
                          π −∫d
                       K=       σ c 1x  dx =     2d .                           (16.2)
                                               π
      Ih\_joghklgZy wg_j]by ijboh^ysZyky gZ _^bgbpm iehsZ^b
                                                        1
                                                   2 − 2
                                  2σc d         v
                            G=          1 −               .                   (16.3)
                                   µπ  β2 

      <_ebqbgu G, σc , d aZ\bkyl hl kdhjhklb jZkijhkljZg_gby jZajmr_gby
< h[s_f kemqZ_ fu agZ_f h gbo hq_gv fZeh
      Q_f [hevr_ ^ebgZ dhgp_\hc qZklb lj_sbgu l_f f_^e_gg_c b^_l
kdhev`_gb_ gZ gZqZevghc klZ^bb ijhp_kkZ IhklhyggZy \j_f_gb dhgljh
ebjmxsZy ih\_^_gb_ ki_dljZ k_ckfbq_kdbo dhe_[Zgbc \ h[eZklb \ukhdbo
qZklhl hij_^_ey_lky dZd
                                                      v2
                                           πµG   1−
                                     d                β2
                             t=        =                    .                   (16.4)
                                     v       2σ c v
     KlZlbq_kdb_ wdki_jbf_glu gZ h[jZapZo ]hjguo ihjh^ ^Zxl agZq_gby
\_ebqbg ihjy^dZ G = 103 wj]kf2, σc = 10 9^bgkf2 Ijb wlhf t = 10−9 k
Ki_dlj k_ckfbq_kdbo \heg ijhklbjZ_lky ^h ^bZiZahgZ ]b]Z]_jp