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

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.