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Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

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Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
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Intelligent calibration method for microscopic parameters in the discrete element method based on ensemble learning.

Yifan Jiang1,2, Jiapeng Pu1,2, Junfeng Sun1,2

  • 1School of Civil Engineering, Southwest Jiaotong University, Chengdu, 610031, China.

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|October 7, 2025
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Summary
This summary is machine-generated.

This study introduces an efficient Stacking ensemble learning model to calibrate microscopic parameters for the Block Discrete Element Method (BDEM) in fractured rock mass simulations. The method accurately predicts macroscopic rock properties, enhancing engineering applications.

Keywords:
Block discrete element methodCorrelation analysisMicroscopic parametersStacking ensemble learning

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Area of Science:

  • Geotechnical Engineering
  • Computational Mechanics
  • Machine Learning Applications

Background:

  • The Block Discrete Element Method (BDEM) is crucial for modeling fractured rock masses.
  • Accurate BDEM simulations require precise microscopic parameters, which are difficult to obtain directly from macroscopic tests.
  • Traditional calibration methods are inefficient and computationally intensive.

Purpose of the Study:

  • To develop an efficient and accurate method for calibrating microscopic parameters in BDEM simulations.
  • To establish a correlation between microscopic parameters and macroscopic rock behavior.
  • To validate the proposed method against experimental data.

Main Methods:

  • Random generation of microscopic parameters for discrete block elements.
  • Development and validation of computational models for various rock mechanics tests (uniaxial compression, Brazilian splitting, triaxial compression).
  • Construction of a macroscopic-microscopic parameter dataset and correlation analysis.
  • Application and optimization of a Stacking ensemble learning model.

Main Results:

  • The Stacking ensemble model demonstrated high accuracy in predicting macroscopic rock properties.
  • Achieved low prediction errors for uniaxial compressive strength (0.6%), elastic modulus (6.6%), indirect tensile strength (10.6%), friction angle (8.6%), and cohesion (5.1%).
  • The model's simulation results closely matched experimental values, confirming its reliability.

Conclusions:

  • The proposed Stacking ensemble learning method provides a highly accurate and reliable approach for predicting discrete element microscopic parameters.
  • This method significantly improves the efficiency of BDEM calibration compared to traditional techniques.
  • The findings offer valuable support for practical engineering applications involving fractured rock masses.