Yaroslav Pyanylo

@iapmm.lviv.ua

Department of Mathematical Modeling of Transfer Processes in Complex Systems
YS Pidstryhach Institute of Applied Problems of Mechanics and Mathematics of the National Academy of Sciences of Ukraine

Yaroslav Pyanylo


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https://researchid.co/yaroslav.pyanylo

RESEARCH, TEACHING, or OTHER INTERESTS

Modeling and Simulation, Mathematical Physics
28

Scopus Publications

Scopus Publications

  • Modeling of Mass Transfer Process in Biological Tissues Considering Deformation
    Yaroslav Pyanylo, Nazariy Lopuh, Anna Lyantse, Halyna Pyanylo
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2025
    In this work, methods for constructing a mathematical model of substance filtration in complex porous media are used to simulate blood flow in soft biological tissues. The relevance of such research is explained by the significant number of capillaries, their topology, and small dimensions. Therefore, it is proposed to consider soft tissues as a porous medium characterized by porosity and permeability coefficients, which need to be determined using numerical methods. It is assumed that the porous medium has the shape of a hollow cylinder, and the deformability of the medium is taken into account. The obtained theoretical results have been validated through numerical experiments.
  • Methods of Analysis of Integrity of Gas Facilities
    Yaroslav Pyanylo, Nazar Prytula, Nazariy Lopuh, Myroslav Prytula, Zoia Prytula, Olga Khymko
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2025
    The object of the study is the integrity of underground gas storage facilities (UGS) and gas transmission system (GTS). The problems of analysing the consequences of depressurization of gas facilities were solved. Real examples of violation of the integrity of facilities were considered. An analysis of the existing mathematical analytical apparatus for calculating the volumes of gas leaks was provided. The use of such an apparatus does not always provide a correct analysis of the results of depressurization of gas facilities. Numerical methods for studying the integrity of gas networks of complex structure by modelling were proposed. The results obtained confirm the effectiveness of mathematical methods for practical use.
  • Numerical Analysis Of The Relationship Between Gas Filtration Model Parameters In Underground Gas Storage
    Nazariy Lopuh, Myroslav Prytula, Zoia Prytula, Yaroslav Pyanylo, Nazar Prytula, Olga Khymko
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2025
    The paper presents a numerical analysis of the relationship between the key parameters of a gas filtration model in an underground gas storage (UGS) system, specifically the permeability and porosity, and the orders of fractional derivatives of gas pressure with respect to time and space. The study is based on a generalized filtration model that accounts for anomalous (subdiffusive) effects typical of fractured and heterogeneous reservoirs. The orders of the fractional derivatives (α—for time, β—for space) are treated as variable parameters, allowing the identification of their dependencies on classical filtration characteristics of the medium. The Grunwald method was employed to approximate the fractional derivatives, enabling stable numerical simulations based on both experimental and synthetic data.
  • Mathematical Modeling of Gas Filtration in the Bottomhole Zone of Underground Gas Storage Wells Using Fractional Derivatives
    N. B. Lopuh, Ya.D. Pyanylo
    Journal of Mathematical Sciences United States, 2024
  • Simulation of Gas Filtration Processes in Fractured-Porous Media
    Nazariy Lopuh, Yaroslav Pyanylo
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2024
    The purpose of this study is to review and analyze the results of research on the characteristics of fracturing and permeability of porous rocks and their fractured zones for further utilization of these findings in addressing practical tasks, particularly in the operation of underground gas storage facilities. The paper presents a method for solving systems of nonlinear differential equations in partial derivatives. On the basis of the finite elements method the numerical model of gas filtration in the porous non-uniform media is suggested. The proposed model relies on the application of Grunwald-Letnikov operators, which involve fractional derivatives with respect to space.The article describes methods for modeling gas filtration in porous media, taking into account fractured zones. Corresponding numerical experiments have been conducted. The results of the experiment confirmed the behavior of the gas pressure in the presence of atypical filtering. It is found that the order the fractional derivative can serve as the parameter adaptation of the mathematical model.
  • The Spectral Methods of Investigation the Processes of Heterodiffusion in the Terms of Fractional Derivatives
    Yaroslav Pyanylo, Sofiya Tvardovska, Halyna Pyanylo
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2024
    In the work, a mathematical model of the heterodiffusion process using by fractional time derivatives are constructed. The boundary value problem is solved by the method of the separation of variables in the basis of orthogonal Jacobi polynomials is formulated. At the same time, the fractional time derivative is introduced through the Jacobi polynomials. A system of algebraic equations was built to find the unknown coefficients. For this the theorem which makes it possible to present the fractional derivatives in the form of Fourier-Jacobi series was proved. In this case, the solution of boundary value problems is reduced to the systems of differential equations in which there is no time derivative. The resulting system can be solved by both analytical and spectral methods. At the same time, in the case of using by the spectral method of finding a solution is reduced to finding unknown coefficients from a system of algebraic equations. The results were obtained in the study of heterodifusion processes in the layer.
  • 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.
  • Mathematical Modeling of Mass Transfer in Complex Engineering and Biomedical Systems
    Ya. D. Pyanylo
    Journal of Mathematical Sciences United States, 2023
  • The Development of Analytical and Numerical Methods for Research of Porous Mediums
    Yaroslav Pyanylo, Sofiya Tvardovska, Nazariy Lopuh
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2023
    The article studies the vibrations of a porous layer under the influence of an external electric field and in terms of Caputo fractional derivatives are written. The solution of the boundary value problem was obtained by using of the Laplass-Carson integral transform. The time dependences of the movements of the liquid and of the solid-phase framework were obtained, as well as the pressures and stresses that arise were calculated.
  • 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, Halyna Pyanylo
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2023
  • Modeling of Gas Flows in Underground Gas Storage Facilities
    Natalia Iwaszczuk, Myroslav Prytula, Nazar Prytula, Yaroslav Pyanylo, Aleksander Iwaszczuk
    Energies, 2022
  • Analysis of Filtration Processes in Porous Environments Taking Into Aaccount the Movement of Capillaries.
    Yaroslav Pyanylo
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2022
  • The Investigation of Wave Processes in Porous Medium Using Fractional Time Derivatives
    Yaroslav Pyanylo, Sofiya Tvardovska
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2022
  • Numerical Model Analysis of Atypical Gas Filtration in a Porous Medium
    Nazariy Lopuh, Yaroslav Pyanylo
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2022
  • 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
  • Main Methods of Numeric Series Analysis during Study of Biological Systems
    Yaroslav Pyanylo, Anatoliy Lopatiev, Andriy Vlasov, Mykhailo Petrus, Andriy Demichkovskyi, Nazar Shtangret
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2021
  • Processing of Digital Information on the Basis of Orthogonal and Biorthogonal Polynomials
    Yaroslav Pyanylo, Valentyna Sobko, Halyna Pyanylo, Mykhailo Petrus, Andriy Demichkovsky
    2020 IEEE 6th International Conference on Methods and Systems of Navigation and Motion Control Msnmc 2020 Proceedings, 2020
  • Methods Mathematical Models of the Process of Filtration of Substances in Complex Porous Structures
    Yaroslav Pyanylo
    Proceedings International Conference on Advanced Computer Information Technologies Acit, 2020
  • The gas filtration in complex porous media with stagnant zones
    Ya. D. Pyanylo, , O. B. Bratash, and
    Mathematical Modeling and Computing, 2020
  • An Approach to Modeling of Gas-hydrodynamic Processes
    Yaroslav Pyanylo
    2019 IEEE 5th International Conference Actual Problems of Unmanned Aerial Vehicles Developments Apuavd 2019 Proceedings, 2019
  • Solving of differential equations systems in the presence of fractional derivatives using the orthogonal polynomials
    Ya. Pyanylo, , O. Bratash, G. Pyanylo, , and
    Mathematical Modeling and Computing, 2017
  • The mass transfer research in complex porous media and pipelines by spectral methods
    Ya. Pyanylo, , V. Sobko, O. Bratash, , and
    Mathematical Modeling and Computing, 2017
  • Calculation of the underground gas store functioning parameters in the water drive mode for maintenance of gas extraction process
    Ya. Pyanylo, , P. Vavrychuk, and
    Mathematical Modeling and Computing, 2016
  • Pipeline pressure distribution finding methods
    Ya. Pyanylo, , V. Sobko, and
    Mathematical Modeling and Computing, 2016
  • Optimization of unsteady operating modes of gas mains
    N. Prytula, , Ya. Pyanylo, M. Prytula, , and
    Mathematical Modeling and Computing, 2016
  • Application of orthogonal polynomials for analysis of input numerical data in the problems of mass transfer
    Ya. P'yanylo, , H. P'yanylo, M. Vasiunyk, , and
    Mathematical Modeling and Computing, 2015
  • Models of mass transfer in gas transmission systems
    Mathematical Modeling and Computing, 2014