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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">sustain</journal-id><journal-title-group><journal-title xml:lang="ru">Надежность</journal-title><trans-title-group xml:lang="en"><trans-title>Dependability</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1729-2646</issn><issn pub-type="epub">2500-3909</issn><publisher><publisher-name>RAMS Journal Limited liability company</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21683/1729-2646-2021-21-2-9-16</article-id><article-id custom-type="elpub" pub-id-type="custom">sustain-415</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>СИСТЕМНЫЙ АНАЛИЗ В ЗАДАЧАХ НАДЕЖНОСТИ И БЕЗОПАСНОСТИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>SYSTEM ANALYSIS IN DEPENDABILITY AND SAFETY</subject></subj-group></article-categories><title-group><article-title>Особенности развития процесса повреждения сетевых  структур систем трубопроводного транспорта</article-title><trans-title-group xml:lang="en"><trans-title>Specificity of the development of the damage process  to network structures of pipeline transportation systems</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Тарарычкин</surname><given-names>И. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Tararychkin</surname><given-names>I. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>Игорь Александрович Тарарычкин – доктор технических наук, профессор</p><p>Луганск</p></bio><bio xml:lang="en"><p>Igor A. Tararychkin, Doctor of Engineering, Professor</p><p>Lugansk</p></bio><email xlink:type="simple">donbass_8888@mail.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Луганский государственный университет им. В.Даля</institution><country>Украина</country></aff><aff xml:lang="en"><institution>V. Dahl Lugansk State University</institution><country>Ukraine</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>01</day><month>06</month><year>2021</year></pub-date><volume>21</volume><issue>2</issue><fpage>9</fpage><lpage>16</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Тарарычкин И.А., 2021</copyright-statement><copyright-year>2021</copyright-year><copyright-holder xml:lang="ru">Тарарычкин И.А.</copyright-holder><copyright-holder xml:lang="en">Tararychkin I.A.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://www.dependability.ru/jour/article/view/415">https://www.dependability.ru/jour/article/view/415</self-uri><abstract><sec><title>Введение</title><p>Введение. Системы промышленного трубопроводного транспорта представляют собой сложные потенциально опасные инженерные объекты, обеспечивающие доставку потребителям заданных объемов целевого продукта. Развитие нештатных ситуаций, связанных с переходом в состояние неработоспособности некоторого количества трубопроводов, может привести к отключению от источника части или всех потребителей продукта. Если переход в состояние неработоспособности линейных элементов системы происходит в случайном порядке, то такой процесс изменения структуры сети называется прогрессирующим повреждением. Особую опасность прогрессирующее повреждение представляет в том случае, если при выполнении ремонтных работ отключается фрагмент системы или некоторая совокупность технологических трубопроводов. </p><p>Целью работы является выявление закономерностей изменения стойкости трубопроводных систем при развитии процесса прогрессирующего повреждения и разработка практических рекомендаций по обеспечению стойкости таких систем в условиях эксплуатации и выполнения ремонтных операций. </p></sec><sec><title>Методы исследования</title><p>Методы исследования. Стойкость систем как способность противостоять развитию процесса прогрессирующего повреждения оценивалась при помощи показателя, представляющего собой среднюю долю трубопроводов, случайный переход которых в состояние неработоспособности приводит к отключению от источника всех потребителей продукта. Значения показателя стойкости устанавливались с использованием метода имитационного компьютерного моделирования. Структура сети и характер действующих внутрисистемных связей задавались при помощи матрицы смежности. </p></sec><sec><title>Результаты</title><p>Результаты. Повреждение структуры транспортной сети рассматривается как результат развития двухэтапного процесса. На этапе целевой трансформации из состава структуры, построенной на основе полного графа, целенаправленно исключаются линейные элементы с приведением сети к некоторому исходному состоянию. На втором этапе происходит трансформация исходной структуры в соответствии с механизмом прогрессирующего повреждения. Такой подход позволяет корректно оценивать изменение стойкости сложных сетевых структур и их способность противостоять развитию деструктивных процессов повреждения. Предложены расчетные характеристики, позволяющие прогнозировать поведение трубопроводных сетей в условиях возможного развития не[<xref ref-type="bibr" rid="cit1">1</xref>]штатных ситуаций. Показано существование предельных сетевых структур, которые оказываются весьма уязвимыми к возможному развитию прогрессирующего повреждения. </p></sec><sec><title>Выводы</title><p>Выводы. По мере развития процесса целевой трансформации способность вновь образованных сетевых структур противостоять развитию процесса прогрессирующего повреждения непрерывно снижается. Минимальный уровень стойкости трубопроводной системы к развитию процесса прогрессирующего повреждения наблюдается в случае приближения структуры сети к предельному состоянию. При подготовке ремонтных работ и плановом исключении из состава действующей трубопроводной системы некоторого количества линейных элементов следует оценивать близость структуры вновь образованного сетевого объекта к предельному состоянию, а также стойкость восстанавливаемой системы к возможному развитию процесса прогрессирующего повреждения.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Introduction</title><p>Introduction. Industrial pipeline transportation systems are complex, potentially hazardous engineering facilities that ensure the delivery of specified amounts of a target product to consumers. The development of emergencies associated with the transition to the down state of a certain number of pipelines may result in the disconnection of some or all the product consumers from the source. If the system’s linear elements transition to the down state in a random order, such a change of the network structure is called a progressive damage. A progressive damage is especially hazardous if, in the course of maintenance activities, a part of the system or a set of process pipelines is disconnected.</p><p>The Aim of the work is to identify the change patterns of pipeline system resilience when affected by progressive damage and to develop practical recommendations for ensuring the resilience of such systems in operation and during maintenance operations.</p></sec><sec><title>Methods of research</title><p>Methods of research. The resilience of systems as the capability to resist progressive damage was evaluated with an indicator that represents the average fraction of pipelines whose transition into the down state causes the disconnection of all consumers from the source of the product. The resilience values were defined by means of computer simulation. The network structure and the nature of the existing intersystem communications were defined using an adjacency matrix.</p></sec><sec><title>Results</title><p>Results. Damage to a transportation network structure is regarded as a result of a two-stage process. At the stage of target transformation, linear elements are purposefully excluded from a full graph-based structure, bringing the network to a certain initial state. At the second stage, the original structure is transformed according to the mechanism of progressive damage. Such approach allows correctly assessing the changes in the resilience of complex network structures and their ability to resist the development of the processes of damage. The paper sets forth calculated characteristics that allow predicting the behaviour of pipeline networks affected by emergencies. The existence of limit network structures is demonstrated that prove to be very vulnerable to the development of progressive damage.</p></sec><sec><title>Conclusions</title><p>Conclusions. As the process of targeted transformation goes on, the ability of newly formed network structures to resist the development of progressive damage progressively diminishes. The lowest level of pipeline system resilience against the development of the process of progressive damage can be observed as the structure of the network nears the limit state. When preparing maintenance activities with scheduled exclusion of a number of linear elements from an active pipeline system, the proximity of the newly built network structure to the limit state should be assessed along with the resilience of the restored system to possible development of progressive damage.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>система</kwd><kwd>трубопровод</kwd><kwd>структура</kwd><kwd>ремонт</kwd><kwd>повреждение</kwd><kwd>стойкость</kwd></kwd-group><kwd-group xml:lang="en"><kwd>system</kwd><kwd>pipeline</kwd><kwd>structure</kwd><kwd>repairs</kwd><kwd>damage</kwd><kwd>resilience</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Murali Sambasivan, Sekar Gopal. Handbook of Oil and Gas Piping. 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