Permanent displacement derived from strong-motion records is a key indicator for assessing surface deformation and the performance of fault-crossing structures, but is highly sensitive to baseline drift in acceleration time histories. This study proposes a fully automated baseline-correction scheme that combines Variational Mode Decomposition (VMD) with a three-segment fitting strategy. The velocity record is first decomposed by VMD, and the long-period residual component is used to identify the baseline drift. Optimal segmentation times in the pre-event, strong-motion and post-event windows are then searched on the residual, and a first- or second-order three-segment baseline is constructed, yielding mutually consistent acceleration, velocity and displacement time histories. The method is applied to near-fault records from four large earthquakes (the 1999 Chi–Chi, 2008 Wenchuan, 2011 Tohoku and 2023 Turkey events) and validated against co-seismic displacements from nearby GPS stations. For both single-pulse and double-pulse records, the corrected velocity tails converge to zero and the permanent displacements agree well with GPS, while the recovered multi-step displacement of double-pulse records is better preserved than with the widely used eBASCO procedure. The permanent displacement fields reconstructed for thrust-type events exhibit clear fault-normal offsets and pronounced hanging-wall effects, whereas the strike-slip event is characterized by fault-parallel motions with smaller vertical components, consistently reflecting the underlying source mechanisms. Overall, the proposed method offers a robust solution for strong motion records baseline correction and permanent displacement estimation, with potential applications in ground motion analysis, damage assessment, and resilient infrastructure design.
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