To investigate the quasi-static mechanical equivalence between HMX-based granular explosives （JO-8） and its substitute materials （Ba（NO₃）₂-based PBX and Na₂SO₄-based PBX）， quasi-static compression experiments were conducted on three types of explosive column sample using a self-developed micro-compression testing apparatus. Parameters fitting was performed on the stress-strain curves obtained from the experiment based on the concrete constitutive model. To further evaluate the mechanical equivalence between JO-8 and the substitute materials， quasi-static compression tests were performed on their internal crystalline single particles HMX， Ba（NO₃）₂， and Na₂SO₄. The results indicate that the quasi-static mechanical behavior of JO-8 explosive column is better characterized by the true stress-strain curve. The good agreement between the fitting data from the constitutive model and the experimental results verifies the effectiveness of the constitutive model. Based on the combined experimental results of the three types of explosive column and their internal single crystal particles， as well as the data analysis of the constitutive model， it reveals that Ba（NO₃）₂-based granular explosive exhibits mechanical properties comparable to JO-8 explosive under quasi-static compression conditions， compared with Na₂SO₄-based granular explosive.