Research On Stability And Large Deformation Collapse Of Slope Based On Material Point Method And Random Field Theory

Influenced by complex geological conditions and human engineering activities,the problem of slope stability and deformation has become a long-term and complex research topic.How to consider the spatial variability of soil parameters in slope stability and deformation analysis has also become a research focus in geotechnical engineering.Based on the convected particle domain interpolation material point method and Random Field theory,this paper proposes the Random Field Convection Particle Domain Interpolation Material Point Method(CPDI-MPM-RF),and applies it to the slope stability and large deformation collapse research through MATLAB program.The main study contents and findings are as follows:(1)The numerical calculation methods applicable to the analysis of large deformation of slopes are investigated and determined.This article investigates and compares the advantages and disadvantages of various commonly used numerical calculation methods in geotechnical engineering,and determines to choose the material point method as the numerical calculation tool.and apply the convective proton domain interpolation material point method for slope stability and large deformation landslide research on the basis of previous research.The results of the calculation with the Material Point Method are compared to verify the feasibility of the improved method and its procedures.(2)The Random Field Convection Particle Domain Interpolation Material Point Method is proposed.In order to consider the influence of spatial variability of geotechnical strength parameters,this paper introduces the parameter random field theory into the convective particle domain interpolation material point method,proposes the CPDI-MPM-RF and implements the calculation procedure by MATLAB,and applied to the slope calculation example.(3)Combine Monte Carlo simulation to carry out the study of slope large deformation.This paper combined CPDI-MPM-FR and Monte Carlo simulation to carry out the calculation of slope large deformation hazard probability,and analyze the influence of relevant parameters on the landslide deformation.The results show that the probability of collapse hazard tends to a reference value with the increase of simulation times,and is affected by the correlation length of Random Field and the correlation coefficient of parameters.(4)The slope stability analysis combines the strength reduction method and Monte Carlo simulation.Combined with CPDI-MPM-RF,this paper calculates the slope safety factor by strength reduction method,and compares the calculation results based on different instability judgments,verified the feasibility of the proposed method.In addition,the distribution of safety factors was analyzed using Monte Carlo simulations.