Influences of aperture size and hierarchical model of turbulence on weighting functions are discussed. Based on these, using singular value decomposition, vertical turbulence profiles for different aperture sizes and hierarchical models of turbulence are inversed and influences of hierarchical models of turbulence and aperture sizes on inversion results are discussed. The results indicate that vertical turbulence profiles are more reasonable based on weighting functions of smaller aperture ratio and geometric hierarchical model of turbulence.