Effects of digital elevation model errors on spatially distributed seismic slope stability calculations: An example from Seattle, Washington

Research output: Contribution to journalArticlepeer-review

33 Scopus citations

Abstract

More than 1,600 centimeter-accurate differential GPS measurements show that elevation errors in a 10-m digital elevation model (DEM) covering an 18-km 2 portion of Seattle can have significant effects on calculated values of slope angle, static factor of safety, Newmark acceleration, and slope displacement. Declustered error data from the study area have a mean of -0.92 m and a standard deviation of ±2.36 m, comparable to results reported by others. Conditional Gaussian simulation and normal score back-transformation were used to create 25 error realizations with the same statistical distribution and spatial correlation as the measured errors, and the error realizations were subsequently used to create elevation, slope angle, static factor of safety, Newmark acceleration, and displacement realizations. The maximum slope angle uncertainty magnitude decreases from more than 10° to about 4° as slope angle increases, but the minimum slope angle uncertainty varies between ±1° and ±2° regardless of slope angle. Typical slope angle standard deviations arising from DEM errors are in the range of ±3° to ±4°. The resulting uncertainties in calculated Newmark displacements as the consequence of a hypothetical large earthquake affecting the study area (Arias intensity of 4 m/s) are in most cases less than ±3 cm, but some values are greater than ±10 cm. If the acceptable maximum probability of misclassifying a potentially unstable area as stable is decreased from 50 to 5 percent, incorporation of displacement uncertainty into the calculus of hazard increases from 0.6 to 4.1 percent the portion of the study area that may be susceptible to landsliding as a result of the hypothetical earthquake.

Original languageEnglish
Pages (from-to)247-260
Number of pages14
JournalEnvironmental and Engineering Geoscience
Volume12
Issue number3
DOIs
StatePublished - Aug 2006

Keywords

  • Digital elevation model
  • Earthquake
  • GPS
  • Landslide
  • Seattle
  • Stochastic

ASJC Scopus subject areas

  • Environmental Engineering
  • Geotechnical Engineering and Engineering Geology
  • Earth and Planetary Sciences (miscellaneous)

Fingerprint

Dive into the research topics of 'Effects of digital elevation model errors on spatially distributed seismic slope stability calculations: An example from Seattle, Washington'. Together they form a unique fingerprint.

Cite this