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Slope Stability Analysis: Slide3 Module 2B When to model in 3D? 1. If pit slope geometry is 3D 2. If failure mechanism is 3D 3. If material strength is anisotropic and not aligned (is oblique) to 2D cross-section 4. If spatial variation in material and other properties is 3D 5. If challenging to identify ‘critical’ or ‘representative’ 2D cross-section 6. If factors of safety of 2D (closely-spaced) cross-sections vary significantly • If one chooses most conservative FoS design might be too conservative • If one chooses least conservative FoS design might be too optimistic 7. If challenging to ‘smear’ influence of discrete support/structural elements • when supports (such as soil nails) are oriented in different directions or spacing varies 8. If end effects are important Model Generation Workflow 3 1. Import and clean geometry 2. Define material properties 3. Create external 4. Divide all 5. Assign material properties 6. Collapse small volumes 7. Assign roles to surfaces 8. Select analysis method 9. Select slip surface options 10. Add search limits 11. Compute 12. Interpret 13. Additional analysis Interface • View can be enlarged by double clicking in individual viewport window • Viewport settings can be customised (View > Display options > Viewports) LOCKED TOP VIEW ROTATE LOCKED FRONT VIEW LOCKED RIGHT VIEW Model Requirements The following model parameters need to be defined before Computing a Slide3 model: • Geometry (import surfaces, volumes, create geometry within Slide3 and Divide All to create 3D model) • Loading (if applicable) • Support (if applicable) • Groundwater (if applicable) • Material strengths • Analysis method • Search method • Search limits Geometry • Full 3D geometry • Geometry can be created from scratch or imported from a variety of file formats • Boundary surfaces can be interpolated from borehole data using the Borehole Manager • Import from Slide • 2D models can be created in Slide and imported into Slide3. The 2D model will automatically be converted into an equivalent 3D model. You can then compare the results to see the effect of 2D vs 3D. 3D model of open pit mine Analysis Methods The following LE methods have been adapted for 3D analysis: • Bishop (moment equilibrium) • Janbu (force equilibrium) • Spencer (force and moment equilibrium) • GLE (force and moment equilibrium with interslice force function) 3D critical slip surface Slip Surfaces & Search Methods The 3D slip surface shapes which can be generated are: • Spherical • Ellipsoidal • Spline (NEW) • Mutli-Planar • Wedge Spherical slip surface Ellipsoid surface with Spline optimization Slip Surfaces & Search Methods Traditional methods • Grid Search • Auto Refine Advanced methods optimized for speed and efficiency • Cuckoo search • Particle swarm Slip surfaces can conform to the shape of bedrock using an Infinite Strength material Main: 2D view of slip surface sliding on bedrock (infinite strength material) Top: 3D view of slip surface sliding on bedrock Loading Loads can be added as: • Point loads • Distributed loads • Seismic loads Loads can be applied at any 3D orientation or location. Loads can only be applied once an external boundary has been defined. Groundwater Pore pressure can be defined using: • Water surfaces (water table or piezo line) • Water pressure grids • Ru coefficients • Groundwater > Add Water Surface Loading & Support Options Slide3 offers all support types found in Slide2 • End Anchored • GeoTextile • Grouted Tieback • Grouted Tieback with Friction • Pile/Micro Pile • Soil Nail • User Defined Support can be applied at any 3D orientation Bolt pattern applied to slope face Loading & Support Options • Loading options include • Point Loads • Distributed Loads • Seismic Loads • Loads can be applied at any 3D orientation or location Uniform surcharge load at crest of curved slope section Groundwater Definition Groundwater pore pressure can be defined using • Water surfaces (Water Table or Piezo Line) • Water Pressure Grids • Ru coefficients Pore pressure grids from RS3 finite element analysis can be imported into Slide3 Water table above ground surface at toe creates ponded water Material Models • Mohr-Coulomb • Undrained • Infinite Strength • Anisotropic Strength • Shear/Normal Function • C/Phi Function • Generalized Hoek-Brown • Power Curve • Vertical Stress Ratio • Barton-Bandis • Hyperbolic • Discrete Function • Drained- Undrained • Generalized Anisotropic • SHANSEP Slide3 offers a wide variety of strength models for soil and rock: The Generalized Anisotropic Strength option allows you to create virtually any customized anisotropic material model incorporating multiple failure criteria applied over user-defined 3D orientations. Results and Data Interpretation Global minimum 3D surface Contour any input or output data on surface Show all surfaces, pick surfaces, export surfaces Show results on 2D cutting planes Filter output by safety factor Advanced Features • Excess Pore Pressure • Rapid Drawdown Analysis • Unsaturated Shear Strength • Anisotropic regions • Tension cracks Tension Crack • If a slip surface intersects a Tension Crack surface, the slip surface will be truncated by the Tension Crack surface. • The tension crack essentially terminates the slip surface, thereby removing the tensile stresses from the calculations. Symmetry • If model geometry is symmetric and the material model is not anisotropic, it can be expected that the critical slip surface is symmetric • This symmetry can be enforced in engine computations by enabling the symmetry option within project settings Slide2 Section Cut Results – Interpretation Review • Global minimum/s (for all analysis methods calculated) • Show all slip surfaces (to ensure adequate coverage across area of interest) • Surface safety maps (readily highlights low FOS areas) • Column Viewer (check for tension, review material properties assigned to column bases) • Contour plots e.g. of stress, strength, pore pressure, etc. (validate results) • Use Slide2 Section Creator (to compare results with 2D) • Import and overlay monitoring data if available (reconcile results with slope monitoring data) Results – Global Minimum Results – Show All Surfaces Interpretation – Surface Safety Map Interpretation – Surface Safety Map FOS = 1.48 ~ 800 slip surfaces FOS = 1.33 ~ 5000 slip surfaces The number of slip surfaces calculated will have an impact on the results. Interpretation – Column Viewer Interpretation – Contour Plots Interpretation – Slide2 Comparison Interpretation – Slide2 Comparison 3D FOS 2D FOS Calibration with Radar Monitoring Data Probabilistic Analysis Probabilistic analysis uses distribution of material strength/s to see the range in FOS values that are calculated from combinations of different strengths sampled from within the distribution. Sampling methods: • Monte-Carlo: Input distribution is sampled at random • Latin-Hypercube: Distribution is divided into sections and each section is sampled, to ensure distribution is covered • Response Surface: FOS is predicted using a small number of strategically placed samples Analysis types: • Global Minimum: The global minimum surface for a deterministic analysis is used. The new samples are input, and the FOS is calculated using that same surface • Overall Slope: For each simulation (new sample), the slip surface search is repeated, and new global minimums may be found • Multiple Minima: The surfaces searched in the deterministic analysis to determine the global minimum are used, and the samples are changed for each surface 𝑃𝑟𝑜𝑏𝑎𝑏𝑖𝑙𝑖𝑡𝑦 𝑜𝑓 𝐹𝑎𝑖𝑙𝑖𝑢𝑟𝑒 𝑃𝐹 = # 𝑜𝑓 𝑠𝑖𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛𝑠 𝑤𝑖𝑡ℎ 𝐹𝑆 < 1 𝑇𝑜𝑡𝑎𝑙 # 𝑜𝑓 𝑠𝑖𝑚𝑢𝑙𝑎𝑡𝑖𝑜𝑛𝑠Back Analysis • Activate the Probabilistic Analysis in Project Settings to complete a back analysis in Slide3 • Enter the distribution of material strengths for each material to be back analysed Back Analysis – Example Initial FOS = 1.66 View Scatter Plot in Results Back Analysis – Example Select combination of material strength that is estimated to provide a FOS < 1 Back Analysis – Example Modify material parameters in new Slide3 model Back analysed FOS = 0.96 Simple Methods to Importing and Extruding Slide 2D Models Introduction The model analyzes the slope stability of a soil (yellow) with a weak layer (green) to see the effect of geometry • The factor of safety is affected by the size of model and the loading force Example Model 1 Base model with continuous loading 200 m 95 m Example Model 2 Base model with centered load 200 m 95 m 20 m 10 m Step 3: Applying New Loading The resulted model should look like below Results Comparison Slide3 Example 1: GLE FS 1.03 Slide3 Example 2: GLE FS 1.1Slide2 result : GLE FS 1.01 Base Normal Stress Contours Model Creation by Importing Geometry Files (DXF, STL) Open Pit Geometry and Geology of the open pit mine Step 5: Check Results Interpret > Refresh Results Slope Limits Using Slope limits option, find the factor of safety on the opposite side of the pit End of Module Slide 1: Slope Stability Analysis: Slide3 Slide 2: When to model in 3D? Slide 3: Model Generation Workflow Slide 7: Interface Slide 8: Model Requirements Slide 9: Geometry Slide 10: Analysis Methods Slide 11: Slip Surfaces & Search Methods Slide 12: Slip Surfaces & Search Methods Slide 13: Loading Slide 14: Groundwater Slide 15: Loading & Support Options Slide 16: Loading & Support Options Slide 17: Groundwater Definition Slide 18: Material Models Slide 19: Results and Data Interpretation Slide 20: Advanced Features Slide 21: Tension Crack Slide 22: Symmetry Slide 23: Slide2 Section Cut Slide 24: Results – Interpretation Slide 25: Results – Global Minimum Slide 26: Results – Show All Surfaces Slide 27: Interpretation – Surface Safety Map Slide 28: Interpretation – Surface Safety Map Slide 29: Interpretation – Column Viewer Slide 30: Interpretation – Contour Plots Slide 31: Interpretation – Slide2 Comparison Slide 32: Interpretation – Slide2 Comparison Slide 33: Calibration with Radar Monitoring Data Slide 34: Probabilistic Analysis Slide 35: Back Analysis Slide 36: Back Analysis – Example Slide 37: Back Analysis – Example Slide 38: Back Analysis – Example Slide 39: Simple Methods to Importing and Extruding Slide 2D Models Slide 40: Introduction Slide 41: Example Model 1 Slide 42: Example Model 2 Slide 43: Step 3: Applying New Loading Slide 44: Results Comparison Slide 45: Model Creation by Importing Geometry Files (DXF, STL) Slide 46: Open Pit Slide 47: Step 5: Check Results Slide 48: Slope Limits Slide 49: End of Module