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Generalized Solution of Dieterich Earthquake Triggering Mechanism under the Coulomb Stress Changes/Perturbations
详细信息   
摘要
Based on the spring-slide block model,earthquake nucleation related fault self-acceleration to failure could be intuitively and quantitatively described by the rate/state-dependent friction law.In the earthquake triggering model,Dieterich(1994) first proposed that the temporal and spatial evolutions of the seismicity vary with the static shear stress change or perturbation caused by moderate to large earthquakes,which has been used in the physics-based explanation of the Omori′s law.Recent studies also show that the Dieterich′s model can be further extended to time-dependent earthquake forecast modeling.From fault-population-modeling point of view,in this study we have derived a generalized Dieterich solution related to the aftershock triggering process in which the effects of the fault normal and shear stress changes have been involved in the current consideration.Compared with previous Dieterich′s solution,the Coulomb stress change of ΔCFFG=Δτ-(μ0-α)Δσ has been introduced in our solution instead of the only shear stress change of Δτ used in the Dieterich′s model.The results also imply that the normal stress change,Δσ,plays an important role relating to the aftershock seismicity.In addition,we discussed the possible limitations in the calculation of earthquake occurrence rate by using a simple Coulomb Stress Change Model without involving time-dependent non-linear phenomenon in the fault evolution.Using the solution obtained in this study,we fitted the time-dependent seismic variation around Tangshan region due to the 1976 MS7.8 Tangshan earthquake.The results indicated that,around the main fault,the shear stress rate change before and after the mainshock could exhibit a significant impact on the early aftershock rate change,as well as the Coulomb stress change.

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