Seismic wave propagation based on critical porosity model

A novel fluid saturated heterogeneous elastic porous media model was proposed based on the critical porosity model. It was used to study the seismic wave propagation in saturated porous media. Firstly, the target mechanical model and basic elements to construct it were introduced. The basic element contained critical porosity element C, beside elastic solid element S and elastic fluid model F. Then, the component form of constitutive relation of target porous media was derived. The constitutive relation's component forms were derived in two ways: from the component form of elastic parameters in stiffness tensor and from the stress-strain relation in the porous media. With this constitutive relation, wave equation in this porous media was obtained. Finally, wave propagation in this model was simulated with FDTD method, and the effect of porosity was discussed.