Tortuosity—A Novel Approach to Quantifying Variability of Rockfall Paths

Rockfall poses a significant hazard in steep terrain, where complex ground interactions cause falling boulders to deviate from straight-line paths. While lateral dispersion is commonly used to describe the distribution of deposited boulders from rockfall events, it does not provide any insight into...

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Main Authors: Lucas Arsenith, Grant Goertzen, Nick Hudyma
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Geotechnics
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Online Access:https://www.mdpi.com/2673-7094/5/2/36
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author Lucas Arsenith
Grant Goertzen
Nick Hudyma
author_facet Lucas Arsenith
Grant Goertzen
Nick Hudyma
author_sort Lucas Arsenith
collection DOAJ
description Rockfall poses a significant hazard in steep terrain, where complex ground interactions cause falling boulders to deviate from straight-line paths. While lateral dispersion is commonly used to describe the distribution of deposited boulders from rockfall events, it does not provide any insight into the complexity of boulder trajectories while in motion. This study introduces tortuosity, a metric typically applied in porous media hydraulic analysis, as a novel approach for quantifying the deviation of rockfall paths from linearity. Using high-resolution UAV-based LiDAR data and RocFall3 (Version 1.017) simulation software, this research investigates the effects of terrain model resolution, boulder shape, and boulder mass on tortuosity values for 20,000 simulated rockfalls on a columnar jointed basalt slope in Boise, ID, USA. Results show that increasing terrain resolution leads to higher tortuosity values due to the increased presence of terrain asperities. Spherical boulders exhibited higher tortuosity than hexagonal ones, and tortuosity decreased with increasing mass for spheres, likely due to their momentum overcoming minor terrain features. Hexagonal boulders, constrained by their angular shape, showed less variability in tortuosity across resolutions and sizes. These findings emphasize the limitations of low-resolution publicly available LiDAR data and highlight the critical influence of accurate boulder representation in simulation models.
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spelling doaj-art-2c48b40ced604436bd6b282578bedd322025-08-20T03:24:33ZengMDPI AGGeotechnics2673-70942025-06-01523610.3390/geotechnics5020036Tortuosity—A Novel Approach to Quantifying Variability of Rockfall PathsLucas Arsenith0Grant Goertzen1Nick Hudyma2Department of Civil Engineering, Boise State University, Boise, ID 83725, USADepartment of Civil Engineering, Boise State University, Boise, ID 83725, USADepartment of Civil Engineering, Boise State University, Boise, ID 83725, USARockfall poses a significant hazard in steep terrain, where complex ground interactions cause falling boulders to deviate from straight-line paths. While lateral dispersion is commonly used to describe the distribution of deposited boulders from rockfall events, it does not provide any insight into the complexity of boulder trajectories while in motion. This study introduces tortuosity, a metric typically applied in porous media hydraulic analysis, as a novel approach for quantifying the deviation of rockfall paths from linearity. Using high-resolution UAV-based LiDAR data and RocFall3 (Version 1.017) simulation software, this research investigates the effects of terrain model resolution, boulder shape, and boulder mass on tortuosity values for 20,000 simulated rockfalls on a columnar jointed basalt slope in Boise, ID, USA. Results show that increasing terrain resolution leads to higher tortuosity values due to the increased presence of terrain asperities. Spherical boulders exhibited higher tortuosity than hexagonal ones, and tortuosity decreased with increasing mass for spheres, likely due to their momentum overcoming minor terrain features. Hexagonal boulders, constrained by their angular shape, showed less variability in tortuosity across resolutions and sizes. These findings emphasize the limitations of low-resolution publicly available LiDAR data and highlight the critical influence of accurate boulder representation in simulation models.https://www.mdpi.com/2673-7094/5/2/36tortuosityrockfall trajectorydispersionterrain resolutionrockfall simulationUAV-based LiDAR
spellingShingle Lucas Arsenith
Grant Goertzen
Nick Hudyma
Tortuosity—A Novel Approach to Quantifying Variability of Rockfall Paths
Geotechnics
tortuosity
rockfall trajectory
dispersion
terrain resolution
rockfall simulation
UAV-based LiDAR
title Tortuosity—A Novel Approach to Quantifying Variability of Rockfall Paths
title_full Tortuosity—A Novel Approach to Quantifying Variability of Rockfall Paths
title_fullStr Tortuosity—A Novel Approach to Quantifying Variability of Rockfall Paths
title_full_unstemmed Tortuosity—A Novel Approach to Quantifying Variability of Rockfall Paths
title_short Tortuosity—A Novel Approach to Quantifying Variability of Rockfall Paths
title_sort tortuosity a novel approach to quantifying variability of rockfall paths
topic tortuosity
rockfall trajectory
dispersion
terrain resolution
rockfall simulation
UAV-based LiDAR
url https://www.mdpi.com/2673-7094/5/2/36
work_keys_str_mv AT lucasarsenith tortuosityanovelapproachtoquantifyingvariabilityofrockfallpaths
AT grantgoertzen tortuosityanovelapproachtoquantifyingvariabilityofrockfallpaths
AT nickhudyma tortuosityanovelapproachtoquantifyingvariabilityofrockfallpaths