Project reliability management of petroleum reservoirs

Authors

DOI:

https://doi.org/10.32347/2410-2547.2019.103.165-176

Keywords:

petroleum reservoir, technical diagnostics, mathematical model, reliability management

Abstract

Raising of the problem. According to the regulatory documents in Ukraine [7,9], petroleum reservoirs (RVS) are designed on the basis of the limit state method.  Using this method ensures the reliability of tanks in the conditions and modes of operation stipulated by regulatory documents [6,7].  However, issues related to ensuring the reliability of RVS designed for a service life exceeding the normative, as well as questions of the economic efficiency of the design decisions made, require further scientific study.  This article provides a general methodology for assessing the reliability of the RVS over a given operating time.  A model of optimal design of RVS is proposed according to the criterion of the minimum project cost while ensuring a given level of reliability over the required service life.  This model is formulated in terms of a non-linear mathematical programming problem, and a special algorithm has been developed for its numerical implementation, based on the principles of constructing "greedy" algorithms.  The economically rational design values of the thickness of the structural elements of the reservoir with a volume of 5000 m3 depending on the required level of reliability are given as a result of numerical experiments. Purpose of the article is to develop a method for rationally ensuring a given level of design reliability of the RVS over the required service life within the framework of the existing design standards and taking into account the available data of the technical diagnostics of the RVS. Conclusions. The proposed optimization model allows you to manage the design reliability of the RVS by the criterion of the minimum initial cost for a given period of operation.  The parameters of this model are determined (and can be adjusted for a single tank or a fleet of tanks) based on the results of statistical processing of data from field surveys of similar objects, which improves the accuracy of the forecast in each individual case.  As a result, the considered models and algorithms can serve as a rather effective mathematical tool in the study of the problems of reliability and durability of the RVS. 

Author Biographies

Serhii Semenets, Pridneprovska State Academy of Civil Engineering and Architecture

Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Applied Mathematics and Information Technology

Svitlana Nasonova, Ukrainian State University of Chemical Technology

Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Higher Mathematics

Viktor Olevskyi, Ukrainian State University of Chemical Technology

Doctor of Technical Sciences, Head of the Department of Higher Mathematics

Denys Volchok, Prydniprovska State Academy of Civil Engineering and Architecture

Candidate of Technical Sciences, Associate Professor, Associate Professor of the Department of Structural Mechanics and Strength of Materials, Deputy Dean of the Faculty of Industrial and Civil Engineering

References

Gaysin E.Sh. and Gaysin M.Sh. Sovremennoe sostoyanie problemy obespecheniya nadezhnosti reservuarov dlia nefti i nefteproduktov [The current state of the problem of ensuring the reliability of petroleum reservoirs]. Transport i khranenie nefteproduktov i uglevodorodnogo syria [Transportation and storage of petroleum products and hydrocarbons]. Moscow: Obrakademnauka Publ., 2016. - №2. - pp. 31-40 (in Russian).

Gaysin E.Sh. and Frolov Yu.A. Otsenka nadezhnosti reservuarov vertikalnykh stalnykh po kriteriyu veroyatnosti bezavariynoy raboty [Evaluation of the reliability of vertical steel reservoirs by the criterion of the probability of trouble-free operation]. Transport i khranenie nefteproduktov i uglevodorodnogo syria [Transportation and storage of petroleum products and hydrocarbons]. Moscow: Obrakademnauka Publ., 2014. - №4. - pp. 11-15 (in Russian).

Egorov E.A. Issledovaniye i metody raschetnoy otsenki prochnosti, ustoychivosti i ostatochnogo resursa stalnykh reservuarov, nakhodiashchikhsia v ekspluatstsii [Research and methods of calculation estimation of durability, stability and remaining resource of steel reservoirs being in exploitation]: Sb. nauch. trudov [Coll. scientific. works], 1999, 99 p. (in Russian).

Kapur K. and Lamberson L. Nadezhnost i proektirovaniye sistem [Reliability and designing systems]. Moscow: Mir Publ., 1980, 604p. (in Russian).

Kashtanov V.A. and Medvedev A.I. Teoriya nadezhnosti slozhnykh system [Theory of reliability of complex system]. Moscow: Fizmatlit Publ., 2010, 606 p. (in Russian).

Pravyla tekhnichnoi ekspluatatsii reservuariv ta instruktsii po yikh remontu . Dopovnennia ta sminy [Rules of technical exploitation of reservoirs and instruction are on their repair. Addition and changes]. Кyiv: Ukrnaftoprodukt Publ., 1997, 297 p. (in Ukrainian).

Reservuary vertikalni stalevi dlia sberigannia nafty i naftoproduktiv s tyskom nasychenykh pariv ne vyshche 93.3 kPa [Reservoirs are vertical steel for storage oils and oil products with pressure of saturated парів not higher 93.3 кПа]. VBN 2.2-58.2-94 [Department building norms of Ukraine VBN 2.2-58.2-94]. Кyiv: 1994, 98 p. (in Ukrainian).

Semenets S.N., Nasonova S.S., Vlasenko Y.E. and Krivencova L.Y. Raschetniye modeli nadezhnosti neftianykh reservuarov [Calculation models of reliability of petroleum reservoirs]. Visnyk PDABA [Newspaper of Pridneprovsk State Academy of Civil Engineering and Architecture]. Dnipropetrovsk: PDABA, 2018. - №1. pp. 60-67 (in Russian).

Stalevi construktsii. Normy proektuvannia. [Steel construction. Design standards]. DBN V.2.6-198:2014. [State building norms of Ukraine DBN V.2.6-198:2014]. Кyiv: Minregion Ukraine Publ., 2014, 205p. (in Ukrainian).

Andrianov I. V., Olevskyi V. I. and Olevska Yu. B. Estimation of parameter-dependent plates vibrations on the basis of the asymptotic method in AMiTaNS’18, AIP Conference Proceedings. – 2018, 2025, edited by M. D. Todorov (American Institute of Physics, Melville, NY), P. 070001. doi: 10.1063/1.5064913.

Olevskyi V.I. Asymptotic estimation of free vibrations of nonlinear plates with complicated boundary conditions / I. V. Andrianov, V. I. Olevskyi, Yu. B. Olevska / AIP Conference Proceedings. – 2017, 1895, P. 080001-1–080001-10. doi: 10.1063/1.5007395.

Olevska Yu. Mathematical models of magnetite desliming for automated quality control systems / Yu. Olevska, V. Mishchenko and V. Olevskyi / AIP Conference Proceedings. –2016, 1773, P.040007-1–040007-6. doi: 10.1063/1.4964970

Published

2019-10-01

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