Direct imaging for the moment tensor point sources of elastic waves. (English) Zbl 1537.65161
Summary: 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 Lamé 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.
MSC:
| 65N21 | Numerical methods for inverse problems for boundary value problems involving PDEs |
| 74J25 | Inverse problems for waves in solid mechanics |
| 86A15 | Seismology (including tsunami modeling), earthquakes |
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