An application of extension theory to the evaluation of slope stability

The slope stability is affected by multiple factors. The comprehensive evaluation of the slope stability is a complicate problem. The principles of extension theory have been used in this paper to establish the matter-element model for the evaluation of slope stability. The quantitative evaluated results have been given through the calculation of the mutter-element dependent degree. The case analysis has indicated that the application of extension theory to the evaluation of slope stability is feasible. The matter-element model established can comprehensively reflect the influences of the multiple factors on slope stability. These factors are mainly the compressive strength of rocks, the quality index of rocks RQD, the velocity of elastic wave of rock mass, the slope height, the annual rainfall, and the structural character grade of rock mass. The conclusions obtained are basically consistent with the engineering practice and have the significance of reference for solving similar problems in rocksoil engineering.