Its been shown that the statistical properties of a reflected seismic wavefield can be related to the statistical properties of the crust. In this paper, we report on a method to invert a reflected seismic wavefield for vertical stochastic parameters. The method is founded on a deconvolution, thresholding, and numerical integration procedure to estimate the Earth's bi-modal velocity perturbation. We then fit a von K¿rm¿n autocorrelation function to the autocorrelation of the estimated velocity perturbation and record the von K¿rm¿n parameters which result in the minimum misfit. Tests show that our scheme is successful at recovering the vertical characteristic length in synthetic seismic reflection data.