2-D acoustic wave equation inversion combining plane‐wave seismograms with well logs

Abstract

Seismic waves can be described approximately by an acoustic wave equation. An inversion procedure for obtaining velocities using well logs and plane‐wave reflection seismograms is described. The forward problem is based on the 2-D acoustic wave equation. The inversion is performed by minimizing the difference between the calculated data and the observed data using the least‐squares regularization method. The numerical example shows that the stability and the robustness of the algorithm to noisy data is improved by introducing well logs into the inversion process.