Structural Constraint Elastic Frequency Controllable Envelope Inversion Based on Automatic Differentiation

Aiming to construct accurate long-wavelength velocity models with high structural consistency at a lower computational cost, a novel structural constraint elastic frequency controllable envelope inversion (SC-EFCEI) is proposed in this paper. SC-EFCEI implements multi-scale envelope inversion incorporating structural constraints. The constraint is implemented through automatic differentiation. The numerical experiments using the elastic Overthrust model demonstrate that SC-EFCEI successfully recovers accurate long-wavelength P-wave and S-wave velocity models with high-structure consistency. When achieving the same inversion accuracy, models recovered by SC-EFCEI enable EFWI to reduce the number of iterations by approximately 70\% on average compared to those recovered by SC-EFCEI without structural constraint.