Abstract: The attrition rate of a TBM cutter connects with the economical benefits of the TBM application and digging efficiency.The main influence factor of the attrition rate of the TBM cutter is rock abrastivity.The rock abrastivity is in contact with the physical and mechanical indexes of rock and rock attributes.The relationship between the rock abrastivity and the physical and mechanical indexes of rock is studied by experiments and mathematical statistics.The experimental samples are collected in the tunnel and done rock mechanics room experimentation and rock abrastivity experimentation separately in the lab.Based on calculation and analyses of the test data,we obtain a mathematic model describing the relationship between rock abrastivity and physical and mechanical indexes of rock and summarize and interpret the correlativity between them.