Abstract

A new inverse modeling is investigated for identifying an effective seismic force at virtual interfaces and estimating the seismic wave motions in an interior domain surrounded by a domain reduction method (DRM) boundary from limited seismic measurement data. The two-dimensional domain is truncated by the highly efficient non-convolutional second-order complex-frequency-shifted perfectly matched layers (CFS-PML), and the DRM is utilized to model seismic input motions coming from the outside domain of the CFS-PML. A partial differential equation (PDE)-constrained optimization method aims at minimizing a misfit between measured ground motions at sparsely-distributed sensors on the surface induced by surface wave-dominant incident waves (or equivalent effective forces on a DRM layer) and their estimated counterparts induced by inverted effective forces. The numerical results show that the presented full-waveform inversion of seismic input motions can identify an effective seismic force at a DRM layer and reconstruct the seismic wave responses in a near-surface domain.