Kirchhoff Integral Forward Modeling Algorithm

This article explores the Kirchhoff integral forward modeling algorithm, a powerful tool widely used in seismic exploration imaging. While the Kirchhoff migration algorithm has not yet been implemented in the current codebase, ongoing research by geotechnical engineers and geophysicists aims to deepen the algorithmic understanding and practical applications. The implementation typically involves numerical integration of seismic wavefields over specified surfaces, utilizing Green's functions to simulate wave propagation. Key computational aspects include handling singularities in integral equations and optimizing summation operations across geological interfaces. We believe that further investigation of the Kirchhoff integral forward algorithm will enhance comprehension of its underlying principles—particularly regarding wavefield reconstruction and amplitude preservation—leading to more accurate and reliable seismic imaging techniques. Such advancements will ultimately improve subsurface resource detection capabilities, contributing to sustainable development through better geological resource utilization.