Estimated structure function (km² s⁻²) averaged over 100 different observations of a velocity field generated with the same underlying turbulent velocity power spectrum as a function of the separation s (kpc). Left: raw structure function recovered for k_inj = 1/200 kpc⁻¹ and k_dis = 1/20 kpc⁻¹. Different theoretical structure functions are also shown, the one associated to the run is given by red solid line. Right: same as left panel but the data points are corrected for the statistical bias and the binning projection effects (see CL19 for more information on the latter). Error bars indicate the ±1σ deviation within the 100 iterations.