Slow Compressional Wave in Porous Media - Finite Difference Simulations on Micro-Scale

We perform wave propagation simulations in porous media on microscale in which<br>a slow compressional wave can be observed. Since the theory of dynamic<br>poroelasticity was developed by Biot (1956), the existence of the type II or<br>Biot's slow compressional wave (SCW) remains the most controversial of its<br>predictions. However, this prediction was confirmed experimentally in ultrasonic<br>experiments. The purpose of this paper is to observe the SCW by applying a recently<br>developed viscoelastic displacement-stress rotated staggered finite-difference (FD)<br>grid technique to solve the elastodynamic wave equation. To our knowledge this is<br>the first time that the slow compressional wave is simulated on first principles.