P. Wu et Hs. Hasegawa, INDUCED STRESSES AND FAULT POTENTIAL IN EASTERN CANADA DUE TO A DISC LOAD - A PRELIMINARY-ANALYSIS, Geophysical journal international, 125(2), 1996, pp. 415-430
In order to understand the causal relation between postglacial rebound
and earthquakes, a simple disc load model is used to: (1) calculate s
tresses induced in the lithosphere and mantle by glacial loading, melt
ing and postglacial rebound; and (2) evaluate the effect of glacial lo
ading/rebound on the failure potential for earthquakes in the upper cr
ust. The dependence of the failure potential and the actual mode of fa
ilure on the coefficient of friction, the ambient tectonic stress magn
itude/direction the stress due to the overlying rocks, and lithospheri
c thickness are investigated. Prominent features of this paper are the
inclusion of: (1) a viscoelastic mantle and thus the migration of str
ess; and (2) the ambient tectonic stress and overburden stress contrib
utions in the calculation of the total stress field. It is assumed tha
t, throughout the Earth, there are optimally oriented pre-existing vir
tual faults that are initially close to but not at failure; thus, a ti
me-dependent quantity called dFSM (related to the Coulomb-Mohr failure
criterion) can be defined such that a negative value of dFSM would ad
vocate faulting or earthquake activities whereas a positive value of d
FSM would promote stability. The results indicate that, under all comb
inations of tectonic stress magnitude and overburden stress, crustal l
oading promotes fault stability directly underneath the load. Upon the
removal of the load, thrust faulting is predicted within the ice marg
in if the horizontal stress (S-h) induced by the overburden is greater
than or equal to the vertical component (S-v) of the overburden stres
s (zeta greater than or equal to 1, where zeta = S-h/S-v). Under this
condition, theory predicts that faulting or earthquake activity should
have reached a maximum immediately after deglaciation. If the horizon
tal stress induced by the overburden is less than the vertical compone
nt of the overburden stress (zeta < 1), then theory predicts fault sta
bility within the ice margin. The theory predicts fault instability bo
th north and south of the ice margin. The mode of failure, however, is
completely determined by the value of zeta. The trade-off between the
tectonic stress magnitude and the overburden stress parameter (zeta)
is also investigated. It is shown that a larger tectonic stress magnit
ude can be used to compensate a smaller value of zeta. The results of
this analysis show that variations in the coefficient of friction, lit
hospheric thickness and a ductile zone below the upper crust do not si
gnificantly affect the above conclusions.