Skip to main content
Log in

Modelling gas release event behaviour in hazardous waste tanks

  • Papers
  • Published:
Environmental and Ecological Statistics Aims and scope Submit manuscript

Abstract

Certain radioactive waste storage tanks at the United States Department of Energy Hanford facilities continuously generate gases as a result of radiolysis and chemical reactions. The congealed sludge in these tanks traps the gases beneath it and causes the level of the waste within the tanks to rise. The waste level continues to rise until the sludge loses its buoyancy and rolls over, changing places with fluid on top. During a rollover, the trapped gases are released, resulting in a sudden drop in the waste level. This is known as a gas release event (GRE). After a GRE, the waste re-congeals and gas again accumulates, leading to another GRE. We are interested in the time between consecutive GREs. Understanding the probabilistic behaviour of the time between consecutive GREs is important because the hydrogen and nitrous oxide gases released during a GRE are flammable and the ammonia that is released is a health risk. From a safety perspective, activity around such waste tanks should be halted when a GRE is imminent. With a credible probability model for the time between consecutive GREs, we can establish time windows in which waste tank research and maintenance activities can be safely performed. We discuss the application of non-linear time series models to this problem.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

  • Anderson, D.N. (1990) Some time series models with non-additive structure. Unpublished Ph. D. Thesis, University of California, Riverside.

    Google Scholar 

  • Anderson, D.N. and Arnold, B.C. (1993) Linnik distribution and processes. Journal of Applied Probability, 30, 330–40.

    Google Scholar 

  • Arnold, B.C. (1993) Logistic processes involving Markovian minimization. Communications in Statistics A, 22, 1699–707.

    Google Scholar 

  • Arnold, B.C. (1989) A logistic process constructed using geometric minimization. Statistics and Probability Letters, 7, 253–7.

    Google Scholar 

  • Arnold, B.C. and Robertson, C.A. (1989) Autoregressive logistic processes. Journal of Applied Probability, 26, 524–31.

    Google Scholar 

  • Arnold, B.C. and Strauss, D.J. (1991) Pseudolikelihood estimation: some examples. Sankhya B, 53, 233–43.

    Google Scholar 

  • Box, G.E.P. and Cox, D.R. (1964) An analysis of transformations. Journal of the Royal Statistical Society, Series B, 26, 211–52.

    Google Scholar 

  • Gaver, D.P. and Lewis, P.A.W. (1980) First-order auto regressive gamma sequences and point processes. Advances in Applied Probability, 12, 727–45.

    Google Scholar 

  • Klimko, L.A. and Nelson, P.I. (1978) On conditional least squares estimation for stochastic processes. Annals of Statistics, 6, 629–42.

    Google Scholar 

  • Lawrance, A.J. and Lewis, P.A.W. (1981) A new autoregressive time series model in exponential variables (NEAR(1)). Advances in Applied Probability, 13, 826–45.

    Google Scholar 

  • Tavares, L.V. (1980) An exponential Markovian stationary process. Journal of Applied Probability, 17, 1117–20.

    Google Scholar 

  • Yeh, H., Arnold, B.C. and Robertson, C.A. (1988) Pareto processes., Journal of Applied Probability, 25, 291–301.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Anderson, D.N., Arnold, B.C. Modelling gas release event behaviour in hazardous waste tanks. Environ Ecol Stat 3, 281–290 (1996). https://doi.org/10.1007/BF00539367

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00539367

Keywords

Navigation