Skip to main content
Log in

Probabilistic analysis of collapsing soil by indicator kriging

  • Articles
  • Published:
Mathematical Geology Aims and scope Submit manuscript

Abstract

Collapsing soils, which undergo a large decrease in bulk volume virtually instantaneously upon saturation and/or load application, are found in arid and semi-arid regions of the world. In the western and midwestern U.S., problems resulting from collapsing soils are being recognized due to rapid industrial and urban developments. A probabilistic analysis of the distribution of such soils would be a rational approach for quantifying risk involved for a project in an area where such soils are found. Indicator kriging was applied to seven sets of collapse and collapse-related soil parameters to obtain the probability that a certain parameter is more or less than a predefined critical value for low, medium, and high collapse susceptibility. Results are presented in the form of probability contour plots with known variance of estimation of the probability. The ability to predict the probability of occurrence of collapse and collapse-related soil parameters for different critical values with a known degree of certainty is invaluable to planners, developers, and geotechnical engineers.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Abdullatif, A. A. 1969, Physical Testing of Engineering Properties of Collapsing Soil in the City of Tucson, (unpublished) M.S. thesis, University of Arizona, 135 p.

  • Anderson, F., 1968, Collapsing Soils and Their Basic Parameters in an Area of the Tucson, Arizona Vicinity, (unpublished) M.S. thesis, University of Arizona, 104 p.

  • ASTM, 1980,Natural Building Stones: Soil and Rock: Annual Book of ASTM Standards, Part 19, American Society for Testing and Materials, Philadelphia, 634 p.

    Google Scholar 

  • Crossley, R. W., 1969, A Geologic Investigation of Foundation Failures in Small Buildings in Tucson, Arizona, (unpublished) M.S. thesis, University of Arizona, 58 p.

  • Journel, A. G., 1983, Non-Parametric Estimation of Spatial Distribution: Math. Geol., v. 15, p. 445–465.

    Google Scholar 

  • Mitchell, J. K., 1976,Fundamentals of Soil Behavior John Wiley & Sons, New York, 422 p.

    Google Scholar 

  • Sabbagh, A. O. 1982, Collapsing Soils and their Clay Mineralogy in Tucson, (unpublished) M.S. thesis, University of Arizona, 269 p.

  • Sullivan, J. A., 1984, Non-Parametric Estimation of Spatial Distribution, (unpublished) Ph.D. thesis, Stanford University, 281 p.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Alli, M.M., Nowatzki, E.A. & Myers, D.E. Probabilistic analysis of collapsing soil by indicator kriging. Math Geol 22, 15–38 (1990). https://doi.org/10.1007/BF00890295

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00890295

Key words

Navigation