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Direct imaging for the moment tensor point sources of elastic waves (2101.10557v1)
Published 26 Jan 2021 in math.NA, cs.NA, math-ph, and math.MP
Abstract: We investigate an inverse source problem of the time-harmonic elastic wave equation. Some novel sampling-type numerical schemes are proposed to identify the moment tensor point sources in the Lam\'e system from near-field measurements. Rigorous theoretical justifications are provided to show that the locations and moment tensors of the elastic sources can be uniquely determined from the multi-frequency displacement data. Several numerical examples are also presented to illustrate the validity and robustness of the proposed method.