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Local algorithm for computing complex travel time based on the complex eikonal equation.

Xingguo Huang1, Jianguo Sun1, Zhangqing Sun1

  • 1Department of Geophysics, College for Geoexploration Science and Technology, Jilin University, No. 938, Ximinzhu Street, Changchun, Jilin 130026, China.

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Summary
This summary is machine-generated.

This study introduces a novel finite difference scheme to accurately compute complex travel times, avoiding paraxial approximations. The method enhances seismic imaging in complex geological areas by efficiently handling velocity variations.

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Area of Science:

  • Geophysics
  • Computational Seismology

Background:

  • Traditional dynamic ray tracing relies on paraxial ray approximation, limiting accuracy in areas with significant velocity changes.
  • Solving the complex eikonal equation directly avoids approximations but is computationally intensive.

Purpose of the Study:

  • To develop an accurate and efficient method for computing complex travel times.
  • To address limitations of existing methods in handling velocity variations and computational cost.

Main Methods:

  • A nonuniform grid-based finite difference scheme is proposed to solve curved boundary problems for evanescent waves.
  • Limited-memory Broyden-Fletcher-Goldfarb-Shanno (L-BFGS) technology is employed to determine imaginary slowness.
  • The central ray is treated as a curved boundary to satisfy the zero imaginary part condition.

Main Results:

  • Numerical experiments demonstrate the accuracy of the proposed finite difference scheme.
  • The method effectively computes complex travel times, outperforming or matching traditional and other advanced techniques.

Conclusions:

  • The developed method provides an accurate and efficient alternative for complex travel time computation.
  • This approach improves seismic imaging capabilities in geologically complex subsurface structures.