Summary
This paper reports the results provided by the propagation of elastic waves in porous media, simulated by using a generalization of the Biot equations which describe the behavior of acoustic and shear waves. The set of equations was discretized using the finite differences method and coded in C++ algorithms, which were applied to isotropic homogeneous porous models with two immiscible fluids such as water and gas. To determine the independent effects of porosity and saturation on the amplitude attenuation and the phase shift of acoustic waves, simulations in two separated cases were performed. In the first case, the models were fully saturated each one with a different porosity whereas in the second case, the porosity was kept constant while the saturation on each model was different. The propagating wave was observed in different points in depth and the recorded wavelets were spectrally analyzed. Due to fluids were considered no viscous, the wave elastic propagation equations do not include terms related with this phenomenon.
