Numerical and analytical amplitude comparison on acoustic modeling

This paper presents the comparison of amplitudes response of P wave calculated by a finite difference algorithm for 2D acoustic modeling, 2D AM, and analytically calculated amplitudes. For the comparison a simple model containing 3 horizontal layers was built. It was given a single shot in the middle part of the model and direct and reflected P wave behavior were analyzed. It was observed that geometric spreading amplitudes calculated by 2D acoustic finite difference algorithm exhibited smaller values than the ones calculated with cylindrical divergence formula. The same behavior was observed on reflected amplitudes when compared with Zoepprittz equation results. Both, direct and reflected waves calculated with finite difference routine are linearly related to analytical amplitudes. Such linear relation permits us to improve numerical results in studies that ask for more accuracy.