By using the time-dependent propagation computer code, adaptive compensation for thermal blooming effects, which are induced by collimated high-energy laser (HEL) beam propagation through the atmosphere, is numerically calculated and analyzed under different conditions. The numerical results show that, with the definite adaptive optics (AO) system, the scaling parameter NJY'NFB is available to evaluate the effect of adaptive compensation efficiently. Moreover, we get the scaling relation between the scaling parameter ND/NFB and the far-field Strehi ratio, which is can be described by Strehl=1/[1+AND/NFB+B (ND/NFB) C] where A, B and C are fitting parameters. We also get the threshold of adaptive phase compensation instability (PCI) through analysis ofthe scaling relation above. In addition, we discuss the difference between adaptive compensation and whole-beam compensation.