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A kinematic model for evolution of island arc-trench systems 总被引:1,自引:0,他引:1
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We developed an inversion method to estimate the stress fields related to earthquake generation (seismogenic stress fields) from the centroid moment tensors (CMT) of seismic events by using Akaike's Bayesian information criterion (ABIC). On the idea that the occurrence of an earthquake releases some part of the seismogenic stress field around its hypocentre, we define the CMT of a seismic event by a weighted volume integral of the true but unknown seismogenic stress field. Representing each component of the seismogenic stress field by the superposition of a finite number of 3-D basis functions (tri-cubic B-splines), we obtain a set of linear observation equations to be solved for the expansion coefficients (model parameters). We introduce prior constraint on the roughness of the seismogenic stress field and combine it with observed data to construct a Bayesian model with hierarchic, highly flexible structure controlled by hyper-parameters. The optimum values of the hyper-parameters are objectively determined form observed data by using ABIC. Given the optimum values of the hyper-parameters, we can obtain the best estimates of model parameters by using a maximum likelihood algorithm. We tested the validity of the inversion method through numerical experiments on two synthetic CMT data sets, assuming the distribution of fault orientations to be aligned with the maximum shear stress plane in one case and to be random in the other case. Then we applied the inversion method to actual CMT data in northeast Japan, and obtained the pattern of the seismogenic stress field consistent with geophysical and geological observations. 相似文献
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The evidence of east-west compression in northeast Japan has been reported by many investigators on the basis of geodetic,
geologic and geomorphic data, but its origin still remains far from understood. In the present study we have proposed a mechanical
model of tectonic loading at convergent plate boundary zones, and demonstrated its validity through the numerical simulation
of internal stress fields in northeast Japan with realistic 3-D geometry of plate interfaces. At convergent plate boundary
zones, in general, a part of plate convergence is consumed by steady slip along plate interfaces, and the remaining part by
inelastic deformation (seismic faulting, aseismic faulting, and active folding) of overriding plates. Such a plate boundary
process to be called ``partial collision' can be quantitatively described by introducing a collision rate defined as c = 1 − steady slip rate at plate interfaces/plate convergence rate. By this definition, we can simply represent the mechanical process of partial collision, which includes total subduction
(c = 0) and total collision (c = 1) as two extreme cases, in terms of steady slip rates at plate interfaces. On the basis of elastic dislocation theory,
first, we numerically computed the internal stress fields in northeast Japan produced by the total subduction of the Pacific
plate beneath the North American plate, however the computed stress pattern was opposite in sense to observations. Then, we
computed the internal stress fields by taking c = 0.1 on average, and succeeded in reproducing the observed east-west compression in northeast Japan. This indicates that
the concept of partial collision is essential to understand the mechanism of intraplate tectonic loading. 相似文献