<p>The Fast Sweeping Method based on equivalent slowness is an improved algorithm for solving seismic wave traveltime, aiming to address the significant errors caused by the large wavefront curvature near the source point in traditional methods. The core of this method lies in transferring part of the complex curvature information of the traveltime field to the distance term of the analytical solution, thereby simplifying the calculation process of the traveltime field. Specifically, by defining the equivalent slowness as the ratio of traveltime to the straight-line distance from a point to the source point, using a finite difference scheme to discretely solve the equivalent slowness, and then converting it into traveltime values, this approach can significantly enhance computational accuracy and efficiency. In this study, numerical examples are employed to verify the effectiveness and superiority of the Fast Sweeping Method based on equivalent slowness in handling complex seismic wave traveltime calculations.</p>

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Fast Sweeping Method Based on Equivalent Slowness for Solving the Eikonal Equation

  • Hong-Yi Jiang,
  • Jian-Xun Yang,
  • Yong-ming Lu,
  • Jun-xin Guo,
  • Hao Zhang,
  • Li-chan Wang

摘要

The Fast Sweeping Method based on equivalent slowness is an improved algorithm for solving seismic wave traveltime, aiming to address the significant errors caused by the large wavefront curvature near the source point in traditional methods. The core of this method lies in transferring part of the complex curvature information of the traveltime field to the distance term of the analytical solution, thereby simplifying the calculation process of the traveltime field. Specifically, by defining the equivalent slowness as the ratio of traveltime to the straight-line distance from a point to the source point, using a finite difference scheme to discretely solve the equivalent slowness, and then converting it into traveltime values, this approach can significantly enhance computational accuracy and efficiency. In this study, numerical examples are employed to verify the effectiveness and superiority of the Fast Sweeping Method based on equivalent slowness in handling complex seismic wave traveltime calculations.