Abstract: Physical similarity model test is an effective method to study complex and difficult mining technology, and the investigation of physical and mechanical properties of rock-like materials is the prerequisite for successful experiments. Based on similarity principle and mechanical properties of rock, mechanical representativeness of uniaxial compressive strength for rock-like materials is demonstrated. On the basis of the statistics and analysis of the influential factors which are closely related to uniaxial compressive strength of rock-like materials, a dimensionless calculation model has been constructed with dimensional analysis. Combined with proportioning tests of rock-like materials, the quantitative relations have been set up to correlate compressive strength with sand diameter, total amount of rock-like materials, filling materials（sand）dosage, water usage, curing approach, etc. The calculation expression of compressive strength is verified by 3 group proportioning tests of rock-like materials which are representative. The average error between computed results of compressive strength and the measured results at laboratory is 4.20%. The calculation model is suitable for investigating parameters of rock-like materials. The results provide references for predicting physical and mechanical parameters of rock-like materials and efficiently selecting similar rock-like materials for physical model test in geotechnical engineering.

Key words: dimensional analysis, rock-like materials, compressive strength, calculation model