Login | Register

A Random Field Model for the Prediction of Changes in the Undrained Shear Strength of Petroleum Contaminated Clay Soils


A Random Field Model for the Prediction of Changes in the Undrained Shear Strength of Petroleum Contaminated Clay Soils

Kristof, Joseph William (2010) A Random Field Model for the Prediction of Changes in the Undrained Shear Strength of Petroleum Contaminated Clay Soils. PhD thesis, Concordia University.

PDF - Accepted Version


Quite often grounds in urban areas are subjected to contamination due to leaks from underground storage tanks of gas stations and of heating oil, as well as from spills of trucks and tankers carrying crude oil, heating oil or gasoline. Moreover the ever growing urban population pushes city boundaries to areas where industries had operated and the ground is heavily contaminated by petroleum and/or its derivatives. These contaminants reduce the load carrying capacity of the soil, thus compromising the stability of structures.
A laboratory investigation has been carried out to determine the undrained shear strength of completely saturated contaminated clay. The undrained shear strength, Su, is the parameter required in the total stress analysis (TSA) of foundations emphasis is placed on the experimental determination of the undrained total stress analyses (short term analysis) parameters. Specifically, the effect of contaminants on the undrained shear strength Su, must be determined in order to verify the following two requirements:
1. A foundation must not collapse or become unstable under any conceivable loading.
2. Settlement of the structure must be within tolerable serviceability limits.
Indeed experimental tests, as well as a statistical model developed in this study confirm that contaminants deteriorate the undrained shear strength of the soil and have significant effects on the elastic moduli. Consequently the immediate bearing capacity of the soil is affected and the integrity or serviceability of the foundation may be jeopardized.
A statistical random field model, based on the undrained shear strengths obtained in the laboratory, was used to model the contaminated soil. A method was developed to predict the statistical properties of the excursion set of the Gaussian random field above high thresholds. A new heavy tailed random field called the Student Random Field was also introduced, for which the distribution of the size of one cluster of its excursion set was derived. The tail distribution of its supremum was also approximated. Finally, as previously mentioned, this random field theory is applied to real data obtained from a series of triaxial tests with 2, 4 and 6% crude oil, heating oil and gasoline contaminated soil.

Divisions:Concordia University > Faculty of Engineering and Computer Science > Building, Civil and Environmental Engineering
Item Type:Thesis (PhD)
Authors:Kristof, Joseph William
Institution:Concordia University
Degree Name:Ph. D.
Program:Civil Engineering
Date:13 December 2010
Thesis Supervisor(s):Fazio, Paul and Foriero, Adolfo
Keywords:shear strength; clay soil; sweet brute,heating oil, gasoline contamination; random field model
ID Code:7391
Deposited On:13 Jun 2011 13:43
Last Modified:13 Jun 2011 13:43
Adler, R. 1981. The Geometry of Random Fields. John Wiley and Sons, New York.
Al-Hattemleh, O. 1995. Experimental Evaluation of the Subsurface Contamination by Kerosine on Soil Pile Interaction in Clayey Soil, Ph.D. Thesis, Jordan University of Science and Technology, pp 29-30.
Alodat, M. 2006. Size Distribution of One Connected Component of Elliptic Random Field, Journal of The Korean Statistical Society, 36, pp. 479-489.
Aldous, D. 1989. Probability approximation via the Poisson clumping heuristic. Springer-Verlag, New York.
Alternative Fuels Data Center, U.S. Department of Energy, www.afdc.energy.gov/afdc/pdfs/fueltable.pdf
Annual Book of ASTM Standards, 2010, Volume 04.08, Section 4 Construction: Soil and Rock, ASTM International, West Conshohocken, PA, USA
Briaud, J-L, 2001. Introduction to soil moduli, Geotechnical News, BiTech Publishers, B.C., Canada
Budho M., 2007. Soil Mechanics and Foundations, John Wiley&Sons USA, pp 263-265.
Canada Mortgage and Housing Corporation, 1993. Soil Gases and Housing, pp. 3-4.
Cao, J., Worsley, K. 1999. The detection of local shape changes via the geometry of Hotelling’s T fields, Ann. Statist., 27(3), pp. 925-942.
Connor, J. 2000, Positive Impact of ASTM Risk-Based Corrective Action Standard, Standardization News, ASTM
Das B., 2005 Laboratory Manual, Soil Mechanics, 6th edition, Oxford University Press, New York, NY, USA, pp 129-133.
Devi, D., Singh, A., 2008, On Finite Element Implementation for Cam Clay Model, International Association for Computer Methods and Advances in Geomechanics (IACMAG).
Domask, 1984, Gasoline - Production, Import, Use and Disposal, www.atsdr.cdc.gov/ToxProfiles/tp72-c4.pdf, United States
Evgin, E. and Das, B. 1992. Mechanical behavior of oil contaminated sand, Environmental and Geotechnical Proceedings of Mediterranean Conference, Balkema Publisher, Rotterdam, The Netherlands, pp. 101-108
Hasofer, A. 1978. Upcrossings of random fields. Suppl. Journal of Advances in Applied Probability, No.10, School of Mathematics and Statistics, University of Sheffield, United Kingdom, pp 14-21
Hassan, A., Walid, K. and Nabi, F., 1995. Geotechnical Properties of Oil Contaminated Kuwaiti Sand, Journal of Geotechnical Engineering, vol. 121, No 5, ASCE
Hydro-Crude Oil Canada, (www.hydro.com/cgi-bin)
International Agency For Research On Cancer (IARC),1989, Crude Oil and Major Petroleum Fuels. Geneva Switzerland.VOL.: 45, p. 159
Kaolin Company, Sandersville, GA, USA
Katatbeh, Q., Alodat, M. and Kristof, J. 2007. Predicting the Excursion Set of Gaussian Random Field, World Applied Sciences Journal, 2, IDOSI, pp. 1-4 (2),
Lorincz, J., 1984. Effect of Infiltrating Hydrocarbons on the Soil Shear Strength, Proceedings of Sixth Conference on soil mechanics and Foundation Engineering, Budapest, Hungary.
Meegoda, N. and Ratnawecra, P., 1994. Compressibility of Contaminated Fine Grained Soil, Geotechnical Testing Journal. Vol.17/1, ASTM, Philadelphia, PA. pp 101-112.
Mallinckrodt Chemicals, 2008, MSDS, NJ, USA (www.vwrsp.com/msds/10)
Piterbarg, V. (1996). Asymptotic methods in the theory of Gaussian processes and fields. American Mathematical Society, Providence, RI, USA
Photos, Courtesy of Property Owner, 2004.
Schofield, A., Wroth, C. 1968. Critical State Soil Mechanics. McGraw-Hill, London.
Worsley, K. and Friston, K. 2000. A test for a conjunction. Statistics and Probability Letters, 47, Elsevier B.V., Amsterdam, The Netherlands, pp135-140.
All items in Spectrum are protected by copyright, with all rights reserved. The use of items is governed by Spectrum's terms of access.

Repository Staff Only: item control page


Downloads per month over past year

Back to top Back to top