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

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Abstract

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.

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Acknowledgments

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

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Authors and Affiliations

  1. Faculty of Management, Department of Quantitative Methods in Management, Lublin University of Technology, Nadbystrzycka 38D, 20-618, Lublin, Poland

    Kozłowski Edward

  2. Faculty of Environmental Engineering, Department of Water Supply and Wastewater Disposal, Lublin University of Technology, Nadbystrzycka 40B, 20-618, Lublin, Poland

    Kowalska Beata & Kowalski Dariusz

  3. Faculty of Mechanical Engineering, Department of Production Engineering, Lublin University of Technology, Nadbystrzycka 36, 20-618, Lublin, Poland

    Mazurkiewicz Dariusz

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  1. Kozłowski Edward
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  2. Kowalska Beata
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  3. Kowalski Dariusz
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  4. Mazurkiewicz Dariusz
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Correspondence to Kowalski Dariusz.

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Edward, K., Beata, K., Dariusz, K. et al. Survival Function in the Analysis of the Factors Influencing the Reliability of Water Wells Operation. Water Resour Manage 33, 4909–4921 (2019). https://doi.org/10.1007/s11269-019-02419-0

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