We present numerical analysis of the wave induced fluid flows in porous-fractured media with different levels of percolation. We generated such models using discrete fracture network technique together with the simulated annealing, so that we control the percolation of the fracture system. To characterize the formed meso-scale structures we developed an algorithm based on the computational geometry. Among other parameters, we estimated the distribution of the branches lengths with respect to angle and observed that relation between them and the characteristic percolation length is not linear. The higher the percolation the smaller the changes in the structure due to the increase of the percolation. At the same time, the WIFF is extremely sensitive to the structure size, increasing with the increase of the branch lengths, not to the percolation itself.