Nazar Prytula

@utg.ua

Department of Development of Systems for Optimal Planning and Forecasting of Underground Gas Storage Modes
Research and Design Institute of Gas Transport

RESEARCH, TEACHING, or OTHER INTERESTS

Modeling and Simulation, Computational Theory and Mathematics, Energy, Filtration and Separation
14

Scopus Publications

247

Scholar Citations

8

Scholar h-index

8

Scholar i10-index

Scopus Publications

  • Methods of Analysis of Integrity of Gas Facilities
    Yaroslav Pyanylo, Nazar Prytula, Nazariy Lopuh, Myroslav Prytula, Zoia Prytula, et al.
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2025
  • Numerical Analysis Of The Relationship Between Gas Filtration Model Parameters In Underground Gas Storage
    Nazariy Lopuh, Myroslav Prytula, Zoia Prytula, Yaroslav Pyanylo, Nazar Prytula, et al.
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2025
  • Integrity and Environmental Safety of Gas Networks
    Olga Khymko, Мyroslav Prytula, Nazar Prytula, Zoia Prytula
    Lecture Notes in Civil Engineering, 2024
  • Optimal Planning of Operation Modes of Gas Transmission Systems
    Yaroslav Pyanylo, Nazar Prytula, Olga Khymko, Myroslav Prytula, Zoia Prytula
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2024
    The object of the study is the gas transmission system (GTS) and underground gas storage facilities (UGSF). The problem to be solved is the planning of optimal modes of their operation. In the process of studying the operation of GTS and UGS, a significant potential for their joint optimization was revealed. The factors affecting the optimal operation of the GTS and UGS and the problems of implementing optimal modes are analyzed. The developed and implemented combinatorial optimization methods of minimum complexity ensured a quick calculation of optimal modes according to the energy and mode stability criteria. The developed software has been tested and is used by dispatch services as a decision support system.
  • Methods of Optimal Development and Modernization of Existing Distribution Networks for Gas-Hydrogen Mixtures
    Olga Khymko, Myroslav Prytula, Nazar Prytula, Zoia Prytula
    Lecture Notes in Civil Engineering, 2023
  • REVEALING PATTERNS IN THE INFLUENCE OF VARIABLE PERMEABILITY OF WELL BOTTOMHOLE ZONES ON THE OPERATIONAL MODES OF UNDERGROUND GAS STORAGE FACILITIES
    Myroslav Prytula, Nazar Prytula, Yaroslav Pyanylo, Zoia Prytula, Olga Khymko
    Eastern European Journal of Enterprise Technologies, 2023
    The object of this study is underground gas storage facilities (UGSF). The main problem being solved is to ensure effective management of the operation process of underground gas storage facilities (UGSF) at operational and forecast time intervals. One of the main factors that affect the operating modes of UGSF is significantly non-stationary filtration processes that take place in the bottomhole zones of wells. The complexity of assessing the multifactorial impact on depression/repression around the wells affects both the speed and accuracy of calculating the mode parameters of UGSF operation. Analysis of the results of well studies revealed a significant area of uncertainty in the calculation of the filtration resistance coefficients of their bottomhole zones. A satisfactory accuracy of the result in the expected time was achieved by building a model of integrated consideration of the influence of the parameters of all the bottomhole zones of the wells on the mode of UGSF operation. It turned out that the integrated consideration of the impact on the parameters of the bottomhole zones of the wells neutralized the effect of significant changes in the filtration resistance coefficients of the wells and ensured a sufficient speed of calculation of UGSF operation modes. Simultaneous simulation of ten operating UGSFs under the peak mode of withdrawal the entire available volume of active gas takes no more than six minutes. The speed of simulation of filtration processes in the bottomhole zones of wells ensured finding the best of them according to one or another criterion of operation mode quality. As a result of the research, a model was built and implemented by software, which was tested under real operating conditions and provides optimal planning of UGSF operating modes for given time intervals. Its use is an effective tool for the operational calculation of current modes and technical capacity of UGSF for a given pressure distribution in the system of main gas pipelines. The performance of the constructed mathematical methods has been confirmed by the results of numerical experiments
  • Hydrodynamic Studies of Underground Gas Storages
    Yaroslav Pyanylo, Zoia Prytula, Myroslav Prytula, Olha Hymko, Nazar Prytula, et al.
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2023
    Problems of research of underground gas storage (UGS) wells are given. The analysis of the results of well research is carried out and the constant variability of filtration resistance coefficients of bottomhole zones of wells is substantiated. Studies of the influence of bottomhole pressures of wells on the calculated pressure at gas gathering stations (GGS) of underground storage facilities have been carried out. It was found that the calculated filtration resistance coefficients do not allow to calculate the pressures at the gas gathering stations of the underground storage plant with sufficient accuracy. The magnitude of the discrepancy between the measured and calculated pressures on the GGS varies depending on the flow rate and operating time of wells. It is established that the calculation of depression (repression) of pressure in the bottomhole zones of wells in non-stationary conditions of their operation gives underestimated results.
  • Modeling of Gas Flows in Underground Gas Storage Facilities
    Natalia Iwaszczuk, Myroslav Prytula, Nazar Prytula, Yaroslav Pyanylo, Aleksander Iwaszczuk
    Energies, 2022
    The object of this study is the underground gas storage facilities of Ukraine, with the aim of developing a systematic mathematical model to describe the flow of gas in complex underground gas storage systems. This model will enable to development of effective methods and algorithms for calculating the modes of operation of such systems. The proposed systematic mathematical model connects the model of the structure of underground gas storage in terms of graph theory with variable topology and various mathematical models of gas flows in facilities with concentrated and distributed parameters. We set the models of gas flows in UGS facilities in the form of analytical relations, differential equations and algorithmically described systems. In order to automate the process of model construction (for given boundary conditions), we developed a system of formation, analysis and synthesis of graphs for underground gas storage facilities, as well as a set of information and mathematical models of facilities.
  • PLANNING OPTIMAL OPERATING MODES OF UNDERGROUND GAS STORAGE FACILITIES AS PART OF THE GAS TRANSMISSION SYSTEM
    Myroslav Prytula, Nazar Prytula, Yaroslav Pyanylo, Zoia Prytula, Olga Khymko
    Eastern European Journal of Enterprise Technologies, 2022
    The object of this study is underground gas storage facilities (UGSF) as part of the gas transmission system (GTS), in the process of joint operation of which a significant synergistic effect is achieved. The problem under consideration is to ensure the joint effective operation of the integrated UGSF and GTS complex as a single thermal-hydraulic one. A method of daily calculation of the maximum productivity of underground gas storage facilities has been devised. The optimization potential of UGSF operating modes has been studied. It is shown to range within 11‒20 %. The problems of planning the operation of UGSF have been stated and solved both under gas pumping modes and gas withdrawal modes. An algorithm for planning gas withdrawal modes at intervals of peak-free UGSF operation been developed. The achieved computational complexity of problem-solving algorithms is in the range of 2‒10 seconds. The problem of combining simultaneous operation of UGSF under an optimal mode for fuel gas and ensuring the necessary peak operation of UGSF at projected time intervals has also been considered. The joint UGSF performance was calculated at the projected time intervals according to the established criteria. At the same time, thermal-hydraulic coordination of UGSF operating modes with the operation of the GTS main gas pipeline system with which they are integrated was ensured. The problem was solved as a result of the implementation of a universal approach to the construction of functional models of complex systems – a single information support, the representation of the structure of the system in terms of graphs, the statement of proper mathematical problems, the development of methods for guaranteed convergence of systems with different mathematical representations of equations, the development of computational algorithms for combinatorial optimization of minimum complexity processes with discrete and irregular influences on their behavior
  • On an invariant of a non-stationary model of pipelines gas flow
    Ya. Pyanylo, N. Prytula, M. Prytula, O. Khymko, and
    Mathematical Modeling and Computing, 2019
  • Optimal scheduling of operating modes of the gas transmission system
    N. Prytula, V. Frolov, M. Prytula, and
    Mathematical Modeling and Computing, 2017
  • Optimization of unsteady operating modes of gas mains
    N. Prytula, Ya. Pyanylo, M. Prytula, and
    Mathematical Modeling and Computing, 2016
  • Simulation of nonstationary regimes of gas transmission systems operation
    N. Prytula, O. Gryniv, V. Dmytruk, and
    Mathematical Modeling and Computing, 2014
  • Models of mass transfer in gas transmission systems
    Mathematical Modeling and Computing, 2014

RECENT SCHOLAR PUBLICATIONS

  • Methods of Analysis of Integrity of Gas Facilities
    Y Pyanylo, N Prytula, N Lopuh, M Prytula, Z Prytula, O Khymko
    2025 15th International Conference on Advanced Computer Information … , 2025
    2025
  • Numerical Analysis Of The Relationship Between Gas Filtration Model Parameters In Underground Gas Storage
    N Lopuh, M Prytula, Z Prytula, Y Pyanylo, N Prytula, O Khymko
    2025 15th International Conference on Advanced Computer Information … , 2025
    2025
  • Дослідження екстремальних експлуатаційних характеристик підземних сховищ газу в складі газотранспортної системи
    M Prytula, Z Prytula, N Prytula, O Khymko
    INFORMATION TECHNOLOGIES AND COMPUTER MODELLING, 219-222 , 2025
    2025
  • Method of calculating operation models of underground gas storage
    A Iwaszczuk, М Prytula, N Prytula, K Prytula, N Iwaszczuk
    University of Piraeus. International Strategic Management Association , 2025
    2025
  • Системний аналіз режимів руху газу в трубопровідних системах.
    Y Pyanylo, N Prytula, M Prytula
    ФІЗИКО-МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ ТА ІНФОРМАЦІЙНІ ТЕХНОЛОГІЇ, 72-83 , 2024
    2024
  • Optimal Planning of Operation Modes of Gas Transmission Systems
    Y Pyanylo, N Prytula, O Khymko, M Prytula, Z Prytula
    2024 14th International Conference on Advanced Computer Information … , 2024
    2024
  • Integrity and Environmental Safety of Gas Networks
    O Khymko, М Prytula, N Prytula, Z Prytula
    International Scientific Conference EcoComfort and Current Issues of Civil … , 2024
    2024
  • Integrity and Environmental Safety of Gas
    O Khymko, M Prytula, N Prytula, Z Prytula
    Proceedings of EcoComfort 2024 604, 204 , 2024
    2024
  • Energy-efficient control of underground gas storage
    A Iwaszczuk, М Prytula, N Prytula, K Prytula, N Iwaszczuk
    University of Piraeus. International Strategic Management Association , 2024
    2024
    Citations: 2
  • Revealing patterns in the influence of variable permeability of well bottomhole zones on the operational modes of underground gas storage facilities
    O Prytula, M., Prytula, N., Pyanylo, Y., Prytula, Z., & Khymko
    Eastern-European Journal of Enterprise Technologies 6 (1(126)), 98-112 , 2023
    2023
    Citations: 8
  • Hydrodynamic Studies of Underground Gas Storages
    Y Pyanylo, Z Prytula, M Prytula, O Hymko, N Prytula, H Pyanylo
    2023 13th International Conference on Advanced Computer Information … , 2023
    2023
  • Оптимальні режими роботи підземних сховищ газу
    М Prytula, Z Prytula, N Prytula, O Hymko
    INFORMATION TECHNOLOGIES AND COMPUTER MODELLING, 202-204 , 2023
    2023
  • Modeling of gas flows in underground gas storage facilities
    N Iwaszczuk, M Prytula, N Prytula, Y Pyanylo, A Iwaszczuk
    Energies 15 (19), 7216 , 2022
    2022
    Citations: 16
  • Methods of Optimal Development and Modernization of Existing Distribution Networks for Gas-Hydrogen Mixtures
    O Khymko, M Prytula, N Prytula, Z Prytula
    International Scientific Conference EcoComfort and Current Issues of Civil … , 2022
    2022
    Citations: 2
  • Planning optimal operating modes of underground gas storage facilities as part of the gas transmission system
    O Prytula, M., Prytula, N., Pyanylo, Y., Prytula, Z., & Khymko
    Eastern-European Journal of Enterprise Technologies 3 (2(117)), 76–91 , 2022
    2022
    Citations: 12
  • Аналіз Режимів Руху Газу в Трубопровідних Системах за Наявності Витоків
    Y Pyanylo, N Prytula, M Prytula
    INFORMATION TECHNOLOGIES AND COMPUTER MODELLING, 156-159 , 2021
    2021
  • Аналіз Режимів Руху Газу в Трубопровідних Системах за Наявності Витоків
    Я П’янило, Н Притула, М Притула
    Інформаційні технології в технічних, системах спеціального призначення … , 2021
    2021
  • Керування Гідродинамічним Режимом Магістрального Аміакопроводу
    YPY Pyanylo, N Prytula, M Prytula
    INFORMATION TECHNOLOGIES AND COMPUTER MODELLING, 192-195 , 2020
    2020
  • Математичне моделювання нерівноважних процесів у складних системах
    ПН П’янило Я., Притула М.
    Растр-7 , 2019
    2019
  • On an invariant of a non-stationary model of pipelines gas flow
    Y Pyanylo, N Prytula, M Prytula, O Khymko
    Mathematical modeling and computing, 116-128 , 2019
    2019
    Citations: 6

MOST CITED SCHOLAR PUBLICATIONS

  • Models of mass transfer in gas transmission systems
    YD Pyanylo, MG Prytula, NM Prytula, NB Lopuh
    Mathematical modeling and computing, 84-96 , 2014
    2014.0
    Citations: 18
  • Modeling of gas flows in underground gas storage facilities
    N Iwaszczuk, M Prytula, N Prytula, Y Pyanylo, A Iwaszczuk
    Energies 15 (19), 7216 , 2022
    2022.0
    Citations: 16
  • Mathematical modelling of operating modes of underground gas storage facilities
    N Prytula, M Prytula, R Boyko
    Технологический аудит и резервы производства 4 (1 (36)), 35-42 , 2017
    2017.0
    Citations: 13
  • Розрахунок початково-граничних умов у задачах фільтрації газу в пористих середовищах
    Н Лопух, М Притула, Н Притула, Я П’янило
    Видавництво Національного університету" Львівська політехніка" , 2009
    2009.0
    Citations: 13
  • Planning optimal operating modes of underground gas storage facilities as part of the gas transmission system
    O Prytula, M., Prytula, N., Pyanylo, Y., Prytula, Z., & Khymko
    Eastern-European Journal of Enterprise Technologies 3 (2(117)), 76–91 , 2022
    2022.0
    Citations: 12
  • Development of software for analysis and optimization of operating modes of underground gas stores
    N Prytula, M Prytula, R Boyko
    Технологический аудит и резервы производства 2 (3 (40)), 17-25 , 2018
    2018.0
    Citations: 12
  • Неусталений рух газу в трубопроводах і пористих середовищах
    ЯД П’янило, МГ Притула, НМ Притула
    Фізикоматематичне моделювання та інформаційні технології.–2006.–Вип 4, 72-80 , 2006
    2006.0
    Citations: 12
  • Підземне зберігання газу (математичні моделі та методи)
    НМ Притула, ЯД П'янило, МГ Притула
    Львів : Растр-7 , 2015
    2015.0
    Citations: 11
  • Revealing patterns in the influence of variable permeability of well bottomhole zones on the operational modes of underground gas storage facilities
    O Prytula, M., Prytula, N., Pyanylo, Y., Prytula, Z., & Khymko
    Eastern-European Journal of Enterprise Technologies 6 (1(126)), 98-112 , 2023
    2023.0
    Citations: 8
  • Трубопроводные системы энергетики
    НН Новицкий, МГ Сухарев, АД Тевяшев, ВС Смирнова, ВЯ Рудяк, ...
    Новосибирский филиал Федерального государственного унитарного предприятия … , 2015
    2015.0
    Citations: 7
  • Simulation of nonstationary regimes of gas transmission systems operation
    NM Prytula, OD Gryniv, VA Dmytruk
    Mathematical modeling and computing, 224-233 , 2014
    2014.0
    Citations: 7
  • Розрахунок параметрів потокорозподілу газу в газотранспортній системі (стаціонарний випадок)
    Н Притула
    Фізико-математичне моделювання та інформаційні технології, 146-155 , 2007
    2007.0
    Citations: 7
  • Development of software for analysis and optimization of operating modes of underground gas stores, Technology Audit and Production Reserves 2/3 (40)(2017) 17-25
    N Prytula, M Prytula, R Boyko
    DOI: https://doi. org/10.15587/2312-8372.2018 128574 , 0
    Citations: 7
  • On an invariant of a non-stationary model of pipelines gas flow
    Y Pyanylo, N Prytula, M Prytula, O Khymko
    Mathematical modeling and computing, 116-128 , 2019
    2019.0
    Citations: 6
  • Mathematical modelling of dynamic processes in gas transmission
    N Prytula
    ECONTECHMOD: An International Quarterly Journal on Economics of Technology … , 2015
    2015.0
    Citations: 6
  • Calculation of initial boundary conditions in problems of gas filtration in porous media
    N Lopuh, J P’yanylo, M Prytula, N Prytula
    Bulletin of Lviv Polytechnic National University: Computer Sciences and … , 2009
    2009.0
    Citations: 6
  • Задачі оптимізації потокорозподілу в газотранспортних системах
    Н Притула
    Видавництво Національного університету" Львівська політехніка" , 2007
    2007.0
    Citations: 6
  • Розрахунок параметрів газотранспортних систем
    МП Химко, ВА Фролов, ВА Павленко, ЯД П’янило, НМ Притула
    Науково-виробничий журнал України “Нафтова и газова промисловість”-2006 р, 33-37 , 2006
    2006.0
    Citations: 6
  • Optimal scheduling of operating modes of the gas transmission system
    N Prytula, V Frolov, M Prytula
    Mathematical modeling and computing, 78-86 , 2017
    2017.0
    Citations: 5
  • Розрахунок режимних параметрiв роботи пiдсистеми транспорту газу пласт пiдземного сховища-магiстральний газопровід
    Я П’янило, СВ Гладун, М Притула, Н Притула, Г П'янило
    Науковотехнiчна конференцiя «Мiкро-та нанонеоднорiднi матерiали: моделi та … , 2015
    2015.0
    Citations: 5