Finding an effective medium for an original medium that contains small-scale heterogeneties is valuable for both efficient wavefield modelling and better parameterization of the inverse problem. With a review on a two-scales homogenization theory, we derive its application to the special case of 1D trans- versely isotropic fine-layered models. We perform seismic wave simulations in a 1D realistic hydraulic fracturing model to show that its effective medium is equivalent to the original medium when proper parameter ε0 is used for relative long-period waves. We also compare this homogenization technique to the averaging technique in Backus (1962), and show that under these two techniques, a few elements of the elastic tensor have slightly different effective parameters which leads to slightly different simulation results. Backus’s results behave slightly better than the homogenization technique in constructing the direct waves and surface waves, while both of them have slight phase misfit for coda waves.