The joint PP- and PS-waves inversion method based on the exact reflection coefficient equation for transversely isotropic medium

Most inversions of the VTI medium anisotropy parameter rely on approximations of the reflection coefficient. However, it is essential to address the differences between the approximate and exact solutions for high-precision inversions. The importance of utilizing the exact solution is initially illustrated by comparing the approximate solution with the exact solution derived from the VTI medium reflection coefficient equation. Subsequently, a hybrid genetic grey wolf algorithm is developed by integrating the genetic algorithm with the grey wolf algorithm, enhancing local search capabilities while maintaining the global search efficiency of the genetic algorithm. This approach facilitates the joint inversion of PP- and PS-waves based on the exact reflection coefficient equation for VTI medium. Applying this inversion methodology to logging models and seismic data with varying noise levels indicates that the joint inversion of PP- and PS-waves using the hybrid genetic grey wolf algorithm yields reduced errors and improved noise resilience, thereby validating the method's practicality. Furthermore, field data is processed, and inversion tests are conducted after consistently compressing the time domains of the PP-wave and PS-wave profiles. The resulting profiles exhibit higher resolution and minimal errors, underscoring the method's efficacy. The findings of this research will contribute to enhancing the accuracy and reliability of seismic data inversion.