Research on analytic calculation model for mining induced stress in multi-layered floor rock

Abstract

Considering the layered structure of floor rock masses, the calculation model for mining induced stress of multi-layered floor rock is established.First, the transfer matrix relating the abutment pressure and stress and displacement components of floor rock is obtained by using the Fourier transform.The stress for multi-layered floor in the integral transform domain was obtained from the global stiffness matrix, which is established based on the transfer matrix.Based on discrete fast Fourier transform (DFFT) method, the analytical solution of stress at the deep of floor is carried out by means of Matlab programming.Eventually the calculated results of the proposed model are compared with traditional method.The results show that layered characteristic of floor strata has a significant effect on the stress distribution of mining floor.The proposed theoretical model considers the influence of deformation parameters form different rock strata,result in the computation results are more close to the actual condition.Therefore, it is of certain theoretical significance to accurately calculate the distribution of floor stress and the failure depth of mining floor at failure.

Keywords

• multi-layered floor rock
• stiffness matrix
• abutment pressure
• fourier transform