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Seismic waveform tomography with shot-encoding using a restarted L-BFGS algorithm.

Ying Rao1,2, Yanghua Wang3

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Summary
This summary is machine-generated.

A new restarted L-BFGS algorithm enhances seismic full-waveform inversion (FWI) stability and efficiency. This method overcomes computational challenges, enabling advanced 3D seismic data analysis.

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Area of Science:

  • Geophysics
  • Computational Seismology

Background:

  • Full-waveform inversion (FWI) is crucial for seismic imaging.
  • Shot-encoding reduces computational cost in FWI but can cause instability.
  • Standard L-BFGS algorithms struggle with shot-encoding-induced instabilities.

Purpose of the Study:

  • To develop a stable and efficient algorithm for full-waveform inversion (FWI).
  • To enable the application of advanced FWI to 3D seismic field data.
  • To address the crosstalk effect and convergence issues in L-BFGS with shot-encoding.

Main Methods:

  • Proposed a restarted limited-memory BFGS (L-BFGS) algorithm.
  • Implemented shot-encoding with random re-coding within iterative segments.
  • Balanced invariant and random encoding strategies in each segment.

Main Results:

  • The restarted L-BFGS algorithm demonstrates improved stability and efficiency.
  • Successfully suppressed crosstalk effects inherent in standard shot-encoding.
  • Enabled the first application of advanced FWI to 3D seismic field data.

Conclusions:

  • The restarted L-BFGS algorithm is a breakthrough for 3D seismic FWI.
  • This method effectively balances computational efficiency, convergence stability, and inversion quality.
  • Paves the way for more robust and accurate seismic imaging techniques.