We study coseismic and postseismic stress fields caused by a normal faultin
g earthquake in a self-gravitating, stratified, viscoelastic spherical Eart
h over distances from a few to hundreds of kilometers. We investigate the c
ontribution of postseismic relaxation on the induced Coulomb stress for ext
ensional tectonic settings accounting for the effects of the Earth stratifi
cation. We use a numerical code based on the spherical self-gravitating Ear
th model developed by Piersanti et al. [1995, 1997]. We study how postseism
ic relaxation can modify the state of stress at the base of the seismogenic
layer where large earthquakes are believed to nucleate. We compare our res
ults with those obtained by means of a three-dimensional dislocation model
in an elastic half-space, which does not account for the time-dependent pos
tseismic stress transfer. The viscoelastic relaxation process modifies the
coseismic stress changes during time periods from several decades to centur
ies. The postseismic stress is generally greater than the coseismic stress
change. Postseismic relaxation increases the Coulomb stress near the causat
ive faults and tends to reduce the stress shadow areas. The temporal evolut
ion of Coulomb stress reveals that in addition to the viscosity value, the
thickness of the elastic layer controls the time at which the relaxation pr
ocess is completed. A larger thickness of the elastic layer yields a faster
relaxation in the first few decades after the seismic event but smaller po
stseismic stress amplitudes at longer timescales. One of the most significa
nt results of this study is the extreme sensitivity of the timescales of th
e viscoelastic relaxation to small changes in the thickness and depth of th
e shallowest viscoelastic layer as well as in variation of the viscosity. S
uch a result suggests that the interpretation of the time evolution of the
postseismic signals only in terms of viscosity values could lead to mislead
ing conclusions.