This paper develops a collocation-based 3D time-domain BEM for poroelastic media, addressing key challenges in singularity handling and computational efficiency. The proposed method сombines spatial boundary element discretization with CQM-based time-stepping for stable, efficient computation. Validation via 1D column tests and half-space problems confirms the method’s accuracy and robustness. Benchmark comparisons against numerical-analytical solutions demonstrate its superior computational performance, particularly in eliminating time-stepping instabilities while maintaining efficiency. This work provides a reliable framework for transient poroelastic analysis, with potential applications in geomechanics and wave propagation modeling.

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Boundary Element Analysis for Partially Saturated Poroelastic Solids via Time-Stepping Method

  • Andrey N. Petrov,
  • Aleksandr A. Belov,
  • Elena A. Kumagina

摘要

This paper develops a collocation-based 3D time-domain BEM for poroelastic media, addressing key challenges in singularity handling and computational efficiency. The proposed method сombines spatial boundary element discretization with CQM-based time-stepping for stable, efficient computation. Validation via 1D column tests and half-space problems confirms the method’s accuracy and robustness. Benchmark comparisons against numerical-analytical solutions demonstrate its superior computational performance, particularly in eliminating time-stepping instabilities while maintaining efficiency. This work provides a reliable framework for transient poroelastic analysis, with potential applications in geomechanics and wave propagation modeling.