A 3D material point discretization approach for complex terrain and geological body: Numerical implementation and application

Abstract

The construction of three-dimensional numerical models for complex terrains and geological bodies has always posed a challenge in geoengineering. This study introduces an efficient discretization approach that facilitates the establishment of material point models for three-dimensional complex terrain and geological conditions. The proposed approach incorporates three structural components and employs an efficient algorithm for data processing to characterize terrain and geological bodies within the model. This enables the construction of complex, heterogeneous discrete models using elevation and material information as input data. A detailed procedure for implementing the proposed three-dimensional material point discretization approach is outlined. Additionally, robust metrics for discretization deviation and efficiency evaluation are introduced to assess the accuracy and efficiency of the constructed discretized models. The efficacy of the proposed approach is verified and evaluated through both two-dimensional and three-dimensional examples, demonstrating its accuracy and effectiveness.