An Analytical Model for Assessing Dynamic Stability of Bedding Rock Slope with Soil Interlayer Under Different Rain Patterns

This study investigated a dynamic stability analytical model for bedding rock slope with soil interlayer, considering various rain patterns. The critical rain intensities for anhydrous and water-filled fissure were derived, respectively. Rain coefficients (i.e., concentration and peak position coefficients) were subsequently introduced to investigate rain patterns. The evolving water head under different infiltration scenarios was derived based on Darcy's law and mass conversation law. Additionally, the time-varying water pressure along soil interlayer was obtained based on triangular distribution assumption. An analytical model incorporating time-varying water head was established to predict slope stability based on limit equilibrium method. Numerical simulations further validated the analytical solutions for time-varying water head and pressure. The evolving characteristic of slope stability was analyzed, and a failure threshold was proposed. Results demonstrated that rain patterns and rain coefficients significantly impact on the rainfall threshold corresponding to slope failure. For uniform rain-induced slope failure, rainfall threshold tends to increase as rain intensity decreases. For unimodal rain-induced slope failure, the rainfall threshold is the largest for post-peak rain corresponding to slope failure, followed by the medium-peak rain, and the smallest for forward-peak rain. These results and findings enhance our understanding of the dynamic stability of bedding rock slope with inclined soil interlayer and provide valuable insights into assessing the evolving slope stability under different rain patterns. An analytical model of dynamic slope stability coupling time-varying water head was established.Impacts of rain pattern and rainfall intensity on slope stability were systematically investigated.Rainfall threshold for slope failure considering different rain patterns was proposed based on analytical model.〹

Automated summary

This study investigated the dynamic stability analysis of bedding rock slopes with soil interlayer under different rain patterns. It derived the critical rain intensities for dry and water-filled fissures and introduced rain coefficients for investigating rain patterns. The study also analyzed the evolving water head and water pressure along the soil interlayer under different infiltration scenarios. Based on the analytical solutions, an analytical model incorporating time-varying water head was established to predict slope stability. Numerical simulations validated the analytical solutions and the study proposed a failure threshold based on the rainfall threshold for slope failure considering different rain patterns. The results showed that rain patterns and coefficients have a significant impact on the rainfall threshold for slope failure. The study provides valuable insights into assessing the evolving slope stability under different rain patterns and improves our understanding of the dynamic stability of bedding rock slopes with inclined soil interlayer.