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Deformation during the 12 November 1999 Düzce, Turkey, Earthquake, from GPS and InSAR Data

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Only 87 days after the M w 7.5, 17 August 1999 I ˙ zmit earthquake, the Düzce earthquake ruptured a ca. 40-km-long adjoining strand of the North Anatolian fault (NAF) system to the east. We used displacements of 50 Global Positioning System (GPS) sites together with interferometric synthetic aperture radar (InSAR) range-change data spanning the event to estimate the geometry and slip distribution of the coseismic rupture. Postseismic deformation transients from the Düzce earth-quake and the preceding I ˙ zmit event that are included in some of the measurements are corrected for using dislocation models fit to GPS data spanning the various time periods. Nonlinear inversions for fault geometry indicate that the rupture occurred on a ca. 54 north-dipping oblique normal, right-lateral fault. Distributed-slip inver-sions indicate maximum strike slip near the center of the Düzce fault close to the earthquake hypocenter. Slip magnitude and depth of faulting decrease to the west and east of the hypocenter. Both GPS and InSAR data suggest that normal slip is restricted to the shallow portion of the rupture. The Düzce earthquake had the highest slip-to-rupture-length ratio of any historic earthquake along the NAF.
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... The depth of the fault is set within 0-20 km; the rake is set within −30 • -30 • ; and the dip of the fault is set within 30 • -90 • according to the background of the regional structure. Under the above parameter settings, the multiple peak particle swarm optimization (MPSO) algorithm searched for the optimal uniform sliding fault parameters (Table 1), and then the error of the uniform sliding inversion fault geometry parameters was estimated using Monte Carlo correlation noise simulation [19,25,38,39]. During the inversion, the function between the InSAR observations and the fault parameters is first established: ...
... where κ 2 is the smooth factor; L is the Laplace second-order smoothing operator; and S is the sliding amount on each fault sheet. Since the inclination of the uniform sliding fault model obtained by previous inversion is not the optimal inclination [39] corresponding to the distributed sliding model, the method that comprehensively considers the roughness and model fit residual needs to search for the optimal inclination. Based on the InSAR line-of-sight deformation results obtained by inversion, the Levenberg-Marquardt [40] least squares optimization algorithm is used to iterate until the Remote Sens. 2023, 15, 3753 7 of 17 convergence of the objective function at the global minimum. ...
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