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A new summation-by-parts finite-difference method improves seismic waveform simulation accuracy. This method effectively handles non-rectangular grids common in complex subsurface models, enabling more flexible and accurate seismic imaging.

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Area of Science:

  • Geophysics
  • Computational Seismology

Background:

  • Subsurface interface properties significantly impact seismic wave propagation.
  • Accurate numerical models require precise representation of Earth's irregular surfaces and interfaces.
  • Conventional finite-difference methods struggle with non-rectangular meshes common in body-fitted gridding.

Purpose of the Study:

  • To investigate the efficacy of the summation-by-parts (SBP) finite-difference method for seismic waveform simulation with non-rectangular meshes.
  • To determine if SBP methods can maintain accuracy despite grid non-orthogonality across fluctuating subsurface interfaces.

Main Methods:

  • Implementation of a summation-by-parts (SBP) finite-difference method.
  • Modeling subsurface interfaces with body-fitted gridding, resulting in non-rectangular meshes.
  • Analysis of waveform simulation accuracy with varying degrees of mesh non-orthogonality.

Main Results:

  • The SBP finite-difference method successfully handles non-rectangular meshes across fluctuating interfaces.
  • Desirable simulation accuracy is achieved even with acute mesh angles (down to 47°) and significant cell size variations (up to 30%).
  • The impact of grid non-orthogonality on waveform simulation accuracy is significantly reduced.

Conclusions:

  • The SBP finite-difference method offers a robust solution for accurate seismic waveform simulation in complex geological models.
  • Increased flexibility in model discretization allows for better fitting of fluctuating boundaries.
  • This advancement enables explicit inclusion of fluctuating interfaces in seismic waveform inversion.