Offset-Controlled Localized Velocity Inversion in the τ-p Domain Using Acoustic Traveltimes: Modeling and Application

Abstract

Understanding the properties of rocks surrounding boreholes is crucial for industries such as oil and gas exploration. This article presents an offset-controlled localized velocity inversion method in the $\tau -p$ domain, aimed at enhancing the accuracy and computational efficiency of velocity imaging around boreholes. By incorporating positional information from receiver arrays into velocity inversion process, the method more accurately reflects depth and radial variations in acoustic velocity. Numerical models validate the applicability of the method, showing that receiver arrays with a near-to-far configuration should be selected for logging observation systems to effectively capture radial velocity variations. Additionally, considering the offset improves the accuracy of estimating formation velocity variations, particularly for sudden changes such as thin layers. The effectiveness of this approach is further verified using actual borehole logging data, demonstrating its ability to capture velocity variations around wells and providing a new means for interpreting logging data.