Random slope model as a model with heteroscedasticity

Example of random slope model

Holcomb example

Spaghetti plot of random slopes

Slope and intercept relationship

Covariance between intercept and slope

Summary

Random slope model as moderation model

When not to use random slope models

Correlated random effects approach

What is an Infinite Slope?

Symmetry Argument

Shears Forces

Effective Stress Formulation

Forces on the Slope

Solving for Tau

Factor of Safety of Submerged Slopes

Flow Lines & Equipotential Lines

Horizontal Seepage Example

Arbitrarily Inclined Seepage

Overview

Poor Water Pressure

Materials

Sleep Surface

Graphs

Analysis

Spencer method

General overview

Differences between a 2D and 3D model

Slip surface searching method

Review of slip surface results

Review of slip surfaces

Critical slip surface

River bank analysis

Results of 3D analysis

Open pit model

Conclusion

Example description

Model setup

Slope stability settings

Create geometry

Create new region polygon

Enter material properties

Apply material to regions

Piezometric Lines

Results and analysis

Outro

Set Up the Analysis Settings

Examples

Add a 3d Limit Equilibrium Analysis

Convergence Tab

Draw Slip Surface Entry Exit

Radius Increments

Define the Piezometric Surface

Convert the Background Mesh

A Background Mesh

Cuckoo Method

Factor of Safety

Low Transfer Curves

Limit Equilibrium

Soil Displacement

Define the Layering

Define Supports

Soil Layers

Defining Slope Limits

Concluding Remarks

Failure Modes

Interoperability

Step 1 Export the Cross-Section from Leapfrog

Step 2

Step 3 Export the Slope Stability Simulation and Import It Back into Leapfrog

Agenda

Geometry Definitions

Layer Cake

Draw Region Polygon

External Sources

Surface Geometry

Adjust Overlaps

Find Regions 2

Dam Core

Geometrication Paradigm

Intro

Pilbara Iron Ore Mine

Critical factor of safety map

Gecko's 3D modeling services

Papua New Guinea example

Conclusion

What is the slope of the line and what does it represent?

Interpreting the Slope

What is the y-intercept and what does it represent?

What is the Altitude After 3 Minutes?

Fourth prediction: Once the plane starts to descend, how long will it take to land?

Converting Seconds to Minutes

Discrete Fracture Network Modeling

Final Thoughts

Trace Length of Structures against Cumulative Counts

Build a Dfn Model

Failure Pathways

Model Scale Results

Block Failure Percentage

How Long Do these Dfn Models Typically Take To Build and Run

Can the Same Method Be Applied to Underground Excavation Stability Assessments

Can the Dfn Approach Also Be Used for Bent Scale Analysis and Design

Bentley Software Workflow

Advanced tools for intersecting surfaces

Drawing geometric information in PLAXIS Designer

Combined scenario: Layered cake + material volume meshes

Surface intersections

Open Pit Example

Case Study 2: Tailings Dam

3D Model generation

Interpolation between boreholes

Importing water table data in PLAXIS 3D LE

Introduction

Getting contours from our 3D surface to the 2D surface

Adding your road path

Stamping our road onto our terrain

Removing/cleaning up stamped geometry

Adding retaining walls

Adding slope to your flat road

Adding a surface to your sloped road

Aligning retaining walls to road height

Hiding exposed edge geometry