Re-expressing frequency dependent reflection and transmission coefficients for P-waves incident on porous fluid-filled media

Steven M. Kim, Kristopher A. H. Innanen

There are various parameterizations of reflection and transmission coefficients for poroelastic media. These expressions are also typically non-linear. From the perspective of petrophysical inversion, non-linearity can cause an undesired extra complexity to the problem which may cause an ineffective prediction of poroelasticity. Therefore, we would like to present a framework of equations based off of previous findings of normal incidence, frequency dependent reflection and transmission coefficients. A linearized form for these coefficients would provide a computationally faster measure of inverted poroelastic parameters. Future investigations of the accuracy and precision of these inverted parameters would show particular circumstances where these inversions may be useful.