Use of Lognormal Distribution for Processing the Results of Soil Testing by Piles

Soil Mechanics and Foundation Engineering - Tập 58 - Trang 185-189 - 2021
V. I. Sheinin1, A. M. Dzagov1
1Gersevanov Research Institute of Bases and Underground Structures (NIIOSP), Moscow, Russia

Tóm tắt

The article shows that the use of the normal distribution for statistical processing of the results of mechanical testing of soils, in particular, when determining the bearing capacity of piles in terms of soil, can lead, in case of a small number of tests and the presence of outliers in the experimental data, to an illegal underestimation of the calculated indicator to values less than the minimum values obtained in the tests performed. It is proposed to replace this distribution with a lognormal one that allows avoiding “implausible” conclusions.

Tài liệu tham khảo

Regulations SP 24.13330.2011, Pile Foundations, Updated Edition of SNiP 2.02.03-85 [in Russian], Moscow (2011).

GOST 20522-2012, Soils. Methods for Statistical Processing of Test Results [in Russian], Standartinform, Moscow (2013).

M. A. Avdusheva and A. L. Nevzorov, “About one peculiarity of statistical processing of pile test results,” Materials of the All-Russian National Conference with International Participation “Deep Foundations and Geotechnical Problems of Territories,” Izd-vo PNIPU, Perm, 477-480 (2017).

V. I. Sheinin and A. M. Dzagov, “On the necessity to correct the rules for rejection of “gross errors” in the statistical processing of soil test results,” Osnov. Fundam. Mekh. Gruntov, No. 3, 26-29 (2019).

V. I. Sheinin, “Use of the lognormal distribution for processing the results of mechanical testing of soils,” Osnov. Fundam. Mekh. Gruntov, No. 5, 2-6 (2020).

V. S. Pugachev, Probability Theory and Mathematical Statistics: Textbook, 2nd Ed. [in Russian], Fizmatlit, Moscow (2002).

U. Olsson, “Confidence intervals for the mean of a log-normal distribution,” J. Stat. Educ., 13, No. 1 (2005).

G. Y. Zou, C. Y. Huo, and J. Taleban, “Simple confidence intervals for lognormal means and their differences with environmental applications,” Environmetrics, 20, No. 2, 172-180 (2009).

K. Krishnamoorthy, Handbook of Statistical Distributions with Applications, CRC Press, Boca Raton (2016).

C. E. Land, “An evaluation of approximate confidence interval estimation methods for lognormal means,” Technometrics, 14, No. 1, 145-158 (1972).

K. Krishnamoorthy and T. Mathew, “Inferences on the means of lognormal distributions using generalized p-values and generalized confidence intervals,” J. Stat. Plan. Infer., 115, No. 1, 103-121 (2003).

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Thông tin xuất bản

Soil Mechanics and Foundation Engineering

Tập 58

185-189

Thông tin tác giả