<p>This study develops and validates a meso-parameter prediction model for backfill materials in PFC3D, enabling efficient numerical construction under varying curing ages and mix ratios. A quantitative correlation was established between hydration degree of the backfill and macroscopic mechanical properties, facilitating prediction of performance evolution. Using the parallel bonded contact model, the effective modulus <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\overline{E}\)</EquationSource> </InlineEquation><sup><i>*</i></sup> was found to exhibit a linear relationship with the macroscopic elastic modulus <i>E</i>, while the stiffness ratio <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\overline{k}\)</EquationSource> </InlineEquation> <sub>n</sub>/<InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\overline{k}\)</EquationSource> </InlineEquation> <sub>s</sub> demonstrated a strong correlation with Poisson’s ratio <i>v</i>. Compressive strength <i>σ</i> was shown to depend on both <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\overline{k}\)</EquationSource> </InlineEquation> <sub>n</sub>/<InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(\overline{k}\)</EquationSource> </InlineEquation> <sub>s</sub> and the bonding parameter <i>σ</i><sub>n</sub>/<i>σ</i><sub>s</sub>. Based on these relationships, a coupled chemo-mechanical prediction framework was developed to integrate hydration, mechanical response, and meso-scale input parameters. Validation against uniaxial and biaxial simulations demonstrated good agreement with laboratory tests, with mean errors below 8.5% for strength and 10% for deformation. Simulated failure modes closely reproduced experimental observations, confirming model reliability. Application to real stope conditions further demonstrated its capability to evaluate backfill strength. This work provides a mechanistic foundation for efficient and accurate parameter determination, supporting predictive modeling of cemented backfill systems.</p>

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Research on PFC3D meso-parameters prediction model and strength simulation of backfill based on hemical-mechanical coupling

  • Yong Wang,
  • Chen Cao,
  • Defeng Wang,
  • Jiang Jiao,
  • Aixiang Wu

摘要

This study develops and validates a meso-parameter prediction model for backfill materials in PFC3D, enabling efficient numerical construction under varying curing ages and mix ratios. A quantitative correlation was established between hydration degree of the backfill and macroscopic mechanical properties, facilitating prediction of performance evolution. Using the parallel bonded contact model, the effective modulus \(\overline{E}\) * was found to exhibit a linear relationship with the macroscopic elastic modulus E, while the stiffness ratio \(\overline{k}\) n/ \(\overline{k}\) s demonstrated a strong correlation with Poisson’s ratio v. Compressive strength σ was shown to depend on both \(\overline{k}\) n/ \(\overline{k}\) s and the bonding parameter σn/σs. Based on these relationships, a coupled chemo-mechanical prediction framework was developed to integrate hydration, mechanical response, and meso-scale input parameters. Validation against uniaxial and biaxial simulations demonstrated good agreement with laboratory tests, with mean errors below 8.5% for strength and 10% for deformation. Simulated failure modes closely reproduced experimental observations, confirming model reliability. Application to real stope conditions further demonstrated its capability to evaluate backfill strength. This work provides a mechanistic foundation for efficient and accurate parameter determination, supporting predictive modeling of cemented backfill systems.