Survival Function in the Analysis of the Factors Influencing the Reliability of Water Wells Operation

  • Kozłowski Edward
  • Kowalska Beata
  • Kowalski DariuszEmail author
  • Mazurkiewicz Dariusz


In common studies on the groundwater intake reliability, suitable methods of statistical interference are usually employed in order to use the analysis and modelling results in relation to the entire population. Exponential distribution of random variables and events, Weibull distribution, normal, log-normal distribution as well as Poisson distribution are used most frequently. The distribution type of failure duration is identified on the basis of the data collected from a random investigated sample. The data collected for this purpose, apart from the object identification, usually pertain to the information on damages, service activities and intervals in operation. However, in some cases, additional data is required, because the reliability of water intakes is also influenced by the quality and quantity of water in the source. This is why, this paper will present an analysis of reliability data from a water supply sources consisting of deep wells taking into consideration additional, potential failure reasons. The aim of the study is to provide a tool of comparison of deep wells reliability, considering that the biggest differences between survival functions is a measure of reliability between objects.


Water intakes Water wells Reliability Survival function 



Paper financed by statutory activity of Faculty of Environmental Engineering, Lublin University of Technology.

Compliance with Ethical Standards

Conflict of Interests

There is no conflict of interest.


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© Springer Nature B.V. 2019

Authors and Affiliations

  1. 1.Faculty of Management, Department of Quantitative Methods in ManagementLublin University of TechnologyLublinPoland
  2. 2.Faculty of Environmental Engineering, Department of Water Supply and Wastewater DisposalLublin University of TechnologyLublinPoland
  3. 3.Faculty of Mechanical Engineering, Department of Production EngineeringLublin University of TechnologyLublinPoland

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