2020 IEEE 15th International Scientific and Technical Conference on
Computer Sciences and Information Technologies (CSIT)
PROCEEDINGS
Volume 1
Lviv-Zbarazh, Ukraine
23-26 September 2020
Organized by:
Institute of Computer Science and Information Technologies, Ukraine
Technical University of Lodz Poland, Institute of Information Technologies, Poland
IEEE Ukraine Section (West) MTT/ED/AP/EP/SSC Societies Joint Chapter
Kharkiv National University of Radioelectronics
Ukrainian Project Management Association
Gdansk University of Technology - GUT
Technical Co-Sponsors:
Lviv Polytechnic National University
IEEE Ukraine Section
Part Number:
CFP20D36-USB
2020 IEEE 15th International Conference on Computer Sciences and Information
Technologies (CSIT)
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I
CSIT 2020 INTERNATIONAL PROGRAMME COMMITTEE
Bobalo Yu. Conference Honorary Chairman, Lviv Polytechnic National University,
Ukraine
Medykovskyy M. Conference Executive Chairman, Lviv Polytechnic National University, Ukraine
Stepashko V. Chairman of International workshop on Inductive Modeling,
International Research and Training Centre for Information Technologies and Systems of the NAS and MES of Ukraine
Bushuyev S. Co-chairman of International workshop on Project Management, Kiev
National University of Construction and Architecture, President of Ukrainian Association of Project Management, Ukraine
Kunanets N. Co-chairwoman of International workshop on Project Management,
Lviv Polytechnic National University, Ukraine
Sergienko I. Honorary Chairman of International workshop on Computational
Methods and Information Transformation Systems in honor of prof. Bohdan Popov, Glushkov Institute of Cybernetics of NAS of Ukraine, Ukraine
Vorobel R. Executive Chairman of International workshop on Computational
Methods and Information Transformation Systems in honor of prof. Bohdan Popov, Karpenko Physico-Mechanical Institute of NAS of Ukraine, Ukraine
Pasichnyk V. Chairman of International workshop on Chairman of International
workshop on Inductive Modeling. Data and knowledge engineering, Lviv Polytechnic National University, Ukraine
Pichkalyov Ie. Head of IEEE Ukraine
Andriychuk M. IEEE MTT/ED/AP/CPMT/SSC, West Ukraine Chapter, Ukraine
Andrianov I. RWTH Aachen University, Aachen, Germany
Antonov P. Technical University of Varna, Computer Communications, Bulgaria
Arkhangelska A. Palacky University in Olomouc, Czech Republic
Auzinger W. Vienna University of Technology, Wien, Austria
Bazylevych R. Lviv Polytechnic National University, Ukraine
Berezsky O. Ternopil national economic university, Ternopil, Ukraine
Bidyuk P. National Technical University of Ukraine “Igor Sikorsky Kyiv
Polytechnic Institute”
Bisikalo O. Vinnytsia National Technical University, Ukraine
Camacho A. Universidad Complutense de Madrid, Spain
II
Cardiff J. Institute of Technology Tallaght (ITT), Ireland
Čekerevac Z. “Union - Nikola Tesla” University in Belgrade, Serbia
Czachorski T. Institute of Theoretical and Applied Informatics Polish Academy of Sciencesh, Poland
Danel R. University of South Bohemia České Budějovice, Czech Republic
Danilova V. Russian Presidential Academy of national economy and public
administration
Dupas R. University of Bordeaux, France
Fedasyuk D. Lviv Polytechnic National University, Ukraine
Filatov V. Kharkiv National University of Radioelectronics, Ukraine
Gelenbe E. Electrical and Electronic Engineering at Imperial College, London,
United Kingdom
Gozhyj O. Petro Mohyla Black Sea State University, Ukraine
Gregus M. Comenius University in Bratislava, Bratislava, Slovak Republic
Hogaboam L. Portland State University, USA
Kachmarek M. Technical University of Gdansk, Poland
Korablyov M. Kharkiv National University of Radioelectronics, Ukraine
Kostrobiy P. Lviv Polytechnic National University, Ukraine
Krak Iu. Taras Shevchenko National University of Kyiv, Ukraine
Kryvinska N. Vienna University of Technology, Austria
Levchenko O. Lviv Polytechnic National University, Ukraine
Lipiński P. Technical University of Lodz, Poland
Lobur M. Lviv Polytechnic National University, Ukraine
Lytvyn V. Lviv Polytechnic National University, Ukraine
Marcus J. Miami University, Oxford, Ohio
Montenegro S. Julius-Maximilians University of Würzburg, Germany
Novak L. University of Zilina, Slovakia
Pawlak F. Silesian Univercity of Technology, Gliwice, Poland
Poniszewska-Maranda A. Technical University of Lodz, Poland
Prasad B. Florida A&M University, Tallahassee, USA
Puchala D. Lodz University of Technology, Poland
Rak J. Technical University of Gdansk, Poland
Repka M. University of South Bohemia České Budějovice, Czech Republic
III
Rogowski Y. Technical University of Lodz, Poland
Ruminski Ya. Technical University of Gdansk, Poland
Scheller-Boltz D. Universitat Innsbruck, Austria
Seifert C. Passau University (PU), Germany
Setlak G. Rzeszow University of Technology, Poland
Shakhovska N. Lviv Polytechnic National University, Ukraine
Shyrokov V. Ukrainian Language-Informational Centre, NASU, Ukraine
Sikora L. Lviv Polytechnic National University, Ukraine
Spalek J. University of Zilina, Slovakia
Telenyk S. National Technical University of Ukraine “Igor Sikorsky Kyiv
Polytechnic Institute”
Tkachenko R. Lviv Polytechnic National University, Lviv, Ukraine
Tsmots I. Lviv Polytechnic National University, Ukraine
Vashchuk F. University of Central Europe in Skalica
Yakovyna V. Lviv Polytechnic National University, Ukraine
Yamazaki T. Niigata University, Japan
Yarovyi A. Vinnytsia National Technical University, Ukraine
Yatsymirskyy M. Lodz University of Technology, Poland
Yerokhin A. Kharkiv National University of Radioelectronics, Ukraine
Yurish S. Technical University of Catalonia, Barcelona, Spain
Zhuravchak L. Lviv Polytechnic National University, Lviv, Ukraine
IV
PREFACE
Welcome to XV International Scientific and Technical Conference Computer Sciences and Information Technologies CSIT 2020, which is organized by IEEE Ukraine Section, IEEE West Ukraine AP/ED/MTT/CPMT/SSC Societies Joint Chapter, Lviv Polytechnic National University, National Academy of Sciences of Ukraine, Institute of Computer Science and Information Technologies, Technical University of Lodz, Kharkiv National University of Radio Electronics, International research and training center for information technologies and systems, Western Scientific Center of the National Academy of Sciences of Ukraine and of Ministry of Education and Science of Ukraine, Karpenko Physico-Mechanical Institute of the National Academy of Sciences of Ukraine, patronized by Ministry of Education and Science of Ukraine.
The Scientific and Technical Conference on Computer Science and Information technologies has been organized regularly since 2004, its reputation increases year by year, the same as the number of participants. It also proofs that the primary objective of the conference is reached, i.e. to promote the international exchange of scientific and technical information in the wide area of computer sciences. To achieve this goal, various aspects of computer science will be presented in such major topics:
● Artificial Intelligence ● Mathematical Modeling ● Applied Linguistics
● Big Data and Data Science ● Software Engineering
● Intelligent Management Technologies ● Data and Knowledge Engineering ● Project Management
● Inductive Modeling
● Computational methods and information transformation
For the main conference, we received about 150 submissions which engaged over 350 authors. Together with our satellite workshops, it was over 270 submissions and about 500 authors from Poland, Germany, Czech Republic, Spain, Japan, Italy, Georgia, and Ukraine, and Program Committee have crystallized a high-level technical program of oral presentations. To continue previous successful practice, CSIT 2020 hosts three international scientific workshops: International
V
IWPM 2020, International Workshop on Information modeling, Data and knowledge engineering IWIMDKE 2020, and International Workshop on Computational methods and information transformation 2020, all supported by IEEE.
The sincerest, boundless gratitude of organizers is sent to members of International Program Committee, who supported CSIT 2020 conference by participating in it, their comprehensive reviews allowed the conference to participate in the promotion of science and technological excellence. It should be proudly mentioned, that some papers are common for several institutions, and even countries, involved in the conference. Such examples of international cooperation, that we have noticed in papers, submitted this year, has inspired CSIT 2020 International Program Committee and Organizing Committee to encourage the cooperation.
There is no reason to explain the unfortunate events that brought us to distant Conference mode, but let me reassure you the safety and health of the participants is a priority for the conference organizers. Both participants and organizers won`t miss a chance to enrich their experience without risking your health.
I am sure that this event will provide participants with an excellent opportunity to exchange ideas and information about their research findings and will give us all the opportunity to refresh personal contacts and establish the new ones.
Once again, welcome at the 15th Scientific and Technical Conference on Computer Science and Information technologies!
Sincerely yours,
Lviv 2020
Mykola Medykovskyy
Director of Institute of Computer Sciences and Information Technologies of Lviv Polytechnic National University, Ukraine
VI
CONTENTS
ARTIFICIAL INTELLIGENCE
1. Application of Computational Intelligence Methods for Fuzzy Portfolio Optimization Problem Under Uncertainty ... 1 Yuriy Zaychenko, Olena Zaichenko
2. Hover Signal-Profile Detection ... 7 Vasyl Mandziy
3. Classification Cased Hierarchical Clustering Prediction Variability in the Ensembles of Models Using a Statistical Approach ... 11 Olexander Barmak, Iurii Krak, Eduard Manziuk
4. Eco-friendly Home Automation System Implemented Using Machine
Learning Algorithms ... 15 Jakub Krymarys, Krzysztof Lichy, Piotr Lipinski, Barbara Morawska
5. The Method of Text Tonality Classification ... 19 Nataliya Shakhovska
6. Solar Power Control System based on Machine Learning Methods ... 24 Alexander Gozhyj, Vladislav Neshachin, Irina Kalinina
7. The Computation Power and Capacity of Bithreshold Neurons ... 28 Vladyslav Kotsovsky, Anatoliy Batyuk, Ivan Mykoriak
8. Bithreshold Neural Network Classifier ... 32 Vladyslav Kotsovsky, Fedir Geche, Anatoliy Batyuk
9. Assessing the Possibility of a Country's Economic Growth Using Dynamic Bayesian Network Models ... 36 Volodymyr Lytvynenko, Mariia Voronenko, Dmytro Nikytenko, Nataliia Savina, Oleksandr Naumov
10. Intellectual Agent Construction Method Based on the Subject Field Ontology ... 40 Vasyl Lytvyn, Dmytro Dosyn, Victoria Vysotska, Andriy Demchuk, Lyubomyr Demkiv, Iryna Lytvyn
11. Method and Means of Symmetric Real-time Neural Network Data
VII
12. Developing a Model of “Artificial Conscience” ... 51 Anatoly Shevchenko, Mykyta Klymenko
13. Development of Internet Auction Systems ... 55 Ivan Dyyak, Lyubomyr Chyrun, Nataliya Antonyuk, Andrii Berko, Vasyl Andrunyk, Andrii Khudyi
14. Cytological Images Clustering of Breast Pathologies ... 62 Oleh Pitsun, Oleg Berezsky, Lesia Dubchak, Kateryna Berezka, Taras Dolynyuk, Bohdan Derish
15. Information System for Monitoring the Emotional State of a Student with Special Needs Using AI ... 66 Vasyl Andrunyk, Olesia Yaloveha
16. The Investigation of Artificial Intelligence Methods for Identifying States and Analyzing System Transitions Between States ... 70 Nataliia Melnykova
17. Improving the Accuracy of Text Message Recognition with an Intelligent Chat-bot Information System ... 76 Andrii Yarovyi, Dmytro Kudriavtsev, Olena Prozor
BIG DATA AND DATA SCIENCE
18. Recurrence Plots for Ambulatory Blood Pressure Monitoring (Means for Data mining of circadian rhythms) ... 80 Gennady Chuiko, Olga Dvornik, Yevhen Darnapuk, Yaroslav Krainyk, Olga Yaremchuk
19. Algorithms for Analysis of Geolocation Error of Nightlight Satellite Data and Greenhouse Gas Data Calculated on their Basis ... 84 Vitaliy Kinakh, Tomohiro Oda, Rostyslav Bun
20. Analysis of the Interrelations between Elements of Geoinformation System Structure ... 88 Roman Stupen, Mykhailo Stupen, Nazar Stupen, Zoriana Ryzhok, Oksana Stupen
21. Multilayer Radial-basis Function Network and its Learning ... 92 Yevgeniy Bodyanskiy, Anastasiia Deineko, Anastasiia Pirus
VIII
23. Application Algorithms of Nonlinear Dimensionality Reduction to Material Database Visualization ... 100 Oleksii Vodka, Ivan Zadorozhniy, Ruslan Lavshhenko
24. Methods of Big Vector Data Processing Under Toroidal Coordinate Systems ... 105 Volodymyr Riznyk
25. Method of Ontology Quality Assessment for Knowledge Base in Intellectual Systems Based on ISO\IEC 25012 ... 109 Victoria Vysotska, Vasyl Lytvyn, Myroslava Bublyk, Andriy Demchuk, Lyubomyr Demkiv, Yuriy Shpak
26. Methods and Tools for Web Resources Processing In E-Commercial Content Systems ... 114 Victoria Vysotska, Andrii Berko, Myroslava Bublyk, Lyubomyr Chyrun, Artem Vysotsky, Kateryna Doroshkevych
27. E-Commercial Systems Designing Methods for Virtual Enterprise ... 119 Andrii Berko, Lyubomyr Chyrun, Vasyl Andrunyk, Liliya Chyrun, Ivan Dyyak,
Nataliya Antonyuk
28. Online Business Processes Support Methods ... 125 Lyubomyr Chyrun, Andrii Berko, Nataliya Antonyuk, Liliya Chyrun, Vasyl Andrunyk, Ivan Dyyak
29. Features of Internet Auction Systems Design ... 134 Lyubomyr Chyrun, Andrii Berko, Ivan Dyyak, Nataliya Antonyuk, Vasyl Andrunyk, Khrystyna Mykich
MATHEMATICAL MODELING
30. Asymptotic Approaches to Study the Mathematical Models of Nonlinear Oscillations of Movable 1D Bodies ... 141 Petro Pukach, Andrii Slipchuk, Yaroslav Hlynskyi, Halyna Beregova, Yulia Pukach
31. Mathematical Modeling of the Earth Heat Processes for the Purposes of Eco-technology and Civil Safety ... 146 Yuriy Starodub, Vasyl Karpenko, Vasyl Karabin, Vladyslav Shuryhin
32. Modelling and Methods for Calculating of Electromagnetic Field in a
IX
33. Method of Evaluation of Discrete Rhythm Structure of Cyclic Signals with the Help of Adaptive Interpolation ... 155 Petro Onyskiv, Iaroslav Lytvynenko, Serhii Lupenko
34. Method of Estimation the Level of Influence of Motivational Factors on Labour Efficiency ... 159 Iryna Spivak, Svitlana Krepych, Natalia Porplytsya, Serhii Spivak
35. Processing of Vector Rhythmocardiosignal Based on Software Complex .. 163 Petro Onyskiv, Iaroslav Lytvynenko, Serhii Lupenko, Andriy Zozulia
36. A Mathematical Model of Electric Ohmic Propulsion System Dynamics ... 167 Olha Pohudina, Andrii Pohudin, Irina Shulga, Sergii Gubin, Svetlana Sinchenko
37. Mathematical and Computer Modeling of the Work of the Grain Terminal of Mariupol Commercial Sea Port ... 171 Olga Tuzenko, Igor Sagirov, Elena Balalayeva
38. A Study of Anomalies in GPS Time Series via Polynomial Filtering ... 175 Winfried Auzinger, Alexey A. Kytmanov, Sergey P. Tsarev
39. Combined Approach to Modeling Supplier Selection ... 179 Grygoriy Hladiy
40. Linear and Non-linear Wheel Slip Hypothesis in Studying Stationary Modes of a Double Road Train ... 183 Ievgen Medvediev, Olha Sakno, Dmytro Moisia, Tatiana Kolesnikova, Andrii Rogovyi
41. The Method of Selection and Pre-processing of Electromyographic Signals for Bio-controlled Prosthetic of Hand ... 188 Vasyl Dozosky, Oksana Dozorska, Evhenia Yavorska, Vyacheslav Nykytyuk, Leonid Dediv
42. A Set of Nets Planarization for Electronic Devices’ Physical Design
Automation ... 192 Roman Bazylevych, Mariusz Wrzesień, Lubov Bazylevych
43. Combination of Near-boundary and Contact Elements in Modelling
Stationary Processes in Piecewise-homogeneous Objects ... 196 Liubov Zhuravchak
44. Variational Formulation Of The Stress-Strain Problem In Capillary-Porous Materials With Fractal Structure ... 200 Volodymyr Shymanskyi, Yaroslav Sokolovskyy
X
46. Modeling of a Surface Plasmons Frequency Spectrum in
Dielectric/metal/dielectric structures: the Influence of the Coulomb
Correlations ... 208 Vitaliy Polovyi, Petro Kostrobij, Bohdan Markovych
47. Modeling of Heat Transfer in the Process of Wood Drying Based on the Theory of Cellular Automata ... 212 Yaroslav Sokolovskyy, Oleksiy Sinkevych, Roman Volianskyi, Bogdan Kshyvetskyy
48. Computer Simulation for Quantum Tomography ... 217 Bohdan Yavorskyy
49. Modeling of Carbon Monoxide Oxidation on Gold Nanoparticles: Is There Oscillatory Mode? ... 221 Iryna Ryzha, Petro Kostrobij
50. Mathematical Modeling and Program Implementation of Gasdynamic
Solution of Dry Gas Seals for Centrifugal Compressors ... 225 Lyudmyla Rozova, Gennadii Martynenko
51. Modeling and Information Support for the Development of Government Programs to Iincrease the Accessibility of Small Business Lending ... 229 Olexandr Yemelyanov, Tetyana Petrushka, Lilia Lesyk, Anastasiya Symak, Olena Vovk
52. Numerical Models of Diffusion Processes Based on Fractional Order
Derivatives. ... 233 Ivan Sokolovskyy, Jaime Campos
53. Experimental Investigations Of Filtration Coefficient Of Clay Soils Under Anthropogenic Factors Influence ... 237 Mykola Kuzlo, Nataliia Zhukovska, Viktor Zhukovskyy, Nataliia Tarasyuk
54. Methodical Approach to Pricing of R&D Products During their Transfer from Universities to Business Environment ... 241 Oleksandra Mrykhina, Lidiya Lisovska
55. The Method for Synthesis of Parameters of Devicesfor Prevention and Post Therapeutic Restoration of Spine Zones ... 247 Alexander Trunov, Alexander Belikov, Vitalii Koshovyi, Vladimir Mitrohyn, Ivan Skopenko, Nikolay Sydelev
XI
APPLIED LINGUISTICS
57. Quantitative Comparative Analysis in Parallel Translation Corpus: building author’s and translator’s statistical profiles (a case study of Lucy Maud Montgomery) ... 255 Nataliia Hrytsiv, Ihor Kulchytsky, Oksana Rohach
58. The Kolmogorov-Smirnov’s Test for Authorship Attribution on the
Phonological Level ... 259 Iryna Khomytska, Vasyl Teslyuk, Lyudmyla Bordyuk
59. Peculiarities of Usage of Terminology Management Systems in SDL Trados and MemoQ Translator Pro for Translation of English-language Instructions ... 263 Roksolana Nazarchuk, Iryna Karamysheva, Kateryna Lishnievska
60. Approach to Automatic Construction of Interpretation Functions During Ontology Learning ... 267 Vasyl Lytvyn, Victoria Vysotska, Yevgen Burov, Oksana Brodyak
61. Statistical Peculiarities of Words Distribution Based on the Pastoral Letters of Andrey Sheptytsky ... 272 Yurii Hulyk
62. Modeling the Automated Working Place of Psycholinguist ... 276 Viktoriia Vasyliuk, Yuliia Shyika, Tetiana Shestakevych
63. The Basic Ontology Development Process Automation Based on Text
Resources Analysis ... 280 Yevgen Burov, Vasyl Lytvyn, Victoria Vysotska, Iryna Shakleina
64. Intellectual Agent Behavior Simulation Based on Reinforcement Learning ... 285 Vasyl Lytvyn, Roman Vovnyanka, Oksana Oborska, Dmytro Dosyn, Victoria Vysotska, Valentyna Panasyuk
65. Automatic Extraction of Keywords in Political Speeches ... 291 Marianna Dilai, Iryna Dilai
66. Linguistic and Psychological Features of the Reddit News Post... 295 Solomiia Albota
XII
68. Modeling of the Associative Verbal Network and its Cognitive Interpretation (the conceptual domain ЗРАДА ‘BETRAYAL’) ... 304 Marianna Dilai, Oleh Tyshchenko, Olena Levchenko
INTELLIGENT MANAGEMENT TECHNOLOGIES
69. Modelling the Process of Determining the Tourist Demand Based on
Fishbein's Multi-Attribute Model ... 308 Tetiana Hovorushchenko, Vladyslav Glukhov, Olha Hovorushchenko
70. Intelligent Agent for Support of Decision Making on Civil Law Regulation of Contract for the Provision of In Vitro Fertilization ... 312 Tetiana Hovorushchenko, Alla Herts, Yelyzaveta Hnatchuk
71. Development of a Technique for Detecting "Distributed Denial-of-Service Attacks" in Security Systems of Wireless Sensor Network ... 316 Olexander Belej
72. Transdisciplinary System for Student Youth Educational and Research Activities Support ... 320 Rina Novogrudska, Maryna Popova
73. Modeling of Technological Process in Nanoelectronic Production ... 324 Oleksandr Prokhorov, Yurii Pronchakov, Oleg Fedorovich, Nataliia Kunanets
74. Algorithmic Support for Rabin Three-Modular Cryptosystem Based on the Operation of Addition ... 328 Igor Yakymenko, Inna Shylinska, Mykhailo Kasianchuk, Lesia Bilovus, Oksana Gomotiuk
75. The Basic Concepts of the Normative Theory of the Synthesis of Information Technologies for Decision Support ... 332 Igor Kovalenko, Yevhen Davydenko , Alyona Shved
76. Modeling of the Deterministic Fractal Time Series by One Rule Constructors ... 336 Viktor Shynkarenko, Artem Zhadan
77. Study on Automatic LED Monitoring System for Data Center Devices... 340 Misheel Enkhbaatar, Tatsuya Yamazaki
78. Cloud Architecture for Remote Medical Monitoring ... 344 Natalia Axak, Mykola Korablyov, Matvii Ushakov
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80. Integrated Intellectual Approach to the Diagnostics of defects of Operations of Induction Motors ... 352 Vitalii Larin, Ali Muhammad Kardo, Katerina Larina, Nina Chichikalo
81. Adaptive Models of Information Management in Crisis ... 357 Ivanna Dronyuk, Iryna Moyseyenko, Jerzy Kuck, Olena Gorina
82. Simulation of Environmental Monitoring Using Wireless Sensor Networks ... 361 Ivan Tsmots, Oleksandr Kuzmin, Sergii Kuzmin
83. Development of the Ukrainian font prototype for the late blind people for the mobile application ... 365 Irina Lozovytska, Alina Zakharova, Mariya Nazarkevych
84. Development of the Intelligent Rail Vehicle Control System ... 369 Sergii Kliuiev, Ievgen Medvediev, Serhiy Soroka, Vasyl Dubuk
SOFTWARE ENGINEERING
85. Availability Audit of IoT System Data Reserved by 3-2-1 Backup Strategy based on Fault Tree and State Transition Diagram Analysis ... 373 Serhiy Shcherbovskykh, Tetyana Stefanovych, Mykhaylo Lobur
86. The Relation between Software Development Methodologies and Factors Affecting Software Reliability ... 377 Ivan Symets, Vitaliy Yakovyna, Maksym Seniv
87. A New Approach to Improving Images by Transforming Their Intensity.. 382 Sergei Yelmanov, Yuriy Romanyshyn
88. Approach to Forecasting of Utility Costs Using Neural Networks ... 387 Iryna Spivak, Svitlana Krepych, Serhii Spivak
89. Constructive Modeling of the Software Development Process for Modern Code Review ... 392 Viktor Shynkarenko, Oleksandr Zhevaho
90. Software System for Virtual Laboratory Works ... 396 Ilona Revenchuk, Bogdan Sus, Nataliia Tmienova, Oleksandr Bauzha, Taras Chaikivskyi
91. Models of Production Systems taking into Account Uncertainties and
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92. Unit Test Generation in a Cluster Using Parallel Computations and Control Flow Graph Analysis ... 407 Roman Bazylevych, Paweł Czarnul, Andrii Franko
93. Lightning Recognition on the Filtered Videos in the Dynamic Clouds ... 411 Viktor Shynkarenko, Iryna Nikitina
94. Software and Algorithmic Support for Finite Element Analysis of Spatial Heat-and-moisture Transfer Using Cloud Technology ... 415 Yaroslav Sokolovskyy, Andriy Nechepurenko, Igor Kroshnyy, Ivan Sokolovskyy, Olha Mokrytska
95. Defects Detection by Approximation, Multilevel Segmentation and
Comparison of Samples ... 419 Ruslan Tushnytskyy, Roman Melnyk, Yurii Havrylko
96. The Concept of an "Add-On" of a Functional Portfolio and Project
Management Environment ... 423 Nataliia Yehorchenkova, Oleksii Yehorchenkov, Iurii Teslia, Yevheniia Kataieva and Serhii Mitsenko
97. Web Data Displaying Approach Based on User`s Semantic Profile Templates ... 428 Oleksandra Bulgakova, Viacheslav Zosimov
98. Hybrid Artificial Intelligence Systems for Complex Neural Network Analysis of Abnormal Neurological Movements with Multiple Cognitive-nodes Signal ... 432 Ivan Mudryk, Mykhaylo Petryk, Mariia Petryk, Oksana Kushnir
99. User-Perceived Response Metrics in Android OS for Software Aging
detection ... 436 Bohdan Uhrynovskyi, Vitaliy Yakovyna
100. Assessment of the Incomplete Integral Contrast for Complex Image ... 440 Sergei Yelmanov, Yuriy Romanyshyn
146
IEEE CSIT 2020, 23-26 September, 2020, Zbarazh-Lviv, Ukraine
Mathematical Modeling of the Earth Heat Processes
for the Purposes of Eco-technologyand Civil Safety
Yuriy Starodub
Department of Сivil Protection and Сomputer Modeling Ecology-Geophysical Processes,
Department ofResearch Activities Organizing Lviv State University of Life Safety
Lviv, Ukraine George_Starodub@yahoo.com
Vasyl Karpenko
National Joint-Stock Company "Naftogaz of Ukraine", 6, Bohdan Chmelnycky str., Kyiv, 01601, Ukraine
intexnaftogaz@ukr.net
Vasyl Karabyn
Department of Сivil Protection and Сomputer Modeling Ecology-Geophysical Processes
Lviv State University of Life Safety Lviv, Ukraine
vasyl.karabyn@gmail.com Vladyslav Shuryhin Department of Environmental Safety
Lviv State University of Life Safety Lviv, Ukraine
vlad_shurygin@ukr.net
Abstract—The article suggests a new model of the Earth's
thermal processes, based on a new understanding and formaliza-tion of cumulative processes of heating and cooling of parts of the Earth (inner core, outer core and mantle, crust, atmosphere). The geothermal model of the Earth with heat fluxes constructed according to the laws of thermodynamics, in which from a depth near to the center of the Earth's core there is a constant power coming from a depth to the surface of the Earth. One of the con-sequences of the new model of the Earth's thermal processes is the justification of the existence of an internal source of heat in the center of the Earth's core, from which an energy is absorbed in a small part by its substance and, in the larger part, is emitted into the open physical space. Mathematical modeling of the Earth heat processes formulate a new understanding of the thermal processes in our planet in general and is the basis for creating tools for predicting dangerous natural processes of endogenous origin, making possible the stability analyzing of natural geosys-tems, developing and new eco-geotechnologies.
Keywords — geothermal model of the Earth; forecasting emer-gencies; natural ecosystems; civil protection
I. INTRODUCTION
Predicting emergencies of natural endogenous origin at the current stage of science is unreliable. One of the reasons for the low reliability of such forecasts is the unresolved fundamental issues of the Earth's thermal processes. The analysis of the de-veloped geothermal model of the Earth with heat fluxes indi-cates the increase of the planet's temperature with constant total gravitational energy with increasing depth. Alongside in the model have place the existence of the physical sequential mechanisms that are triggered by the thermal energy when ap-proaching the Earth's center with the increase of the thermal energy density in the center of the Earth's core.
The present state of the Earth is filled with various threats of emergencies of natural and man-made origin. If man-made threats of emergencies are widely investigated, alongside natu-ral threats are much less studied.
Annually, there are approximately about 1200 earthquakes in the world with magnitude over 6 points. Over the past 30 years, there has been a tendency for an increase of ruining earthquakes with magnitudes greater than 6 points (Fig. 1).
Fig. 1. Dynamics of earthquakes in the world: 1 - the number of all earthquakes, 2 - the number of earthquakes with a magnitude greater than 6 points [1]
Accordingly, there are increasing material losses and hu-man casualties as a result of earthquakes. The record year was the 2010 earthquake that killed 226,000 people [1]. One of the reasons for such great human casualties from the impact of earthquakes is the poor accuracy and reliability of their predic-tion. The reliability of predicting endogenous activity is so low that the United State Geological Survey use information from Twitter popular service information site.
The main problem of predicting emergencies of natural endogenous origin is white spots in understanding of the Earth’s thermal processes. It is impossible to predict the occur-rence of an earthquake without a reliable model of thermal processes in insides of the Earth, those processes determine the motion of lithospheric plates, and smaller elements of the Earth's crust. Also, a poor understanding of thermal processes leads to emergencies in mining [2] and delay the development of eco-technologies.
II. STATE OF THE STUDY OF THE EARTH’S HEAT PROCESSES
147
IEEE CSIT 2020, 23-26 September, 2020, Zbarazh-Lviv, Ukraine flux, the temperature in the center of the Earth is constant
throughout its evolution, about - 6370 ° K.
Kuznetsov V.V. [4] have proposed a model of "hot" Earth. According to this model, the conductive heat flux of the Earth occurs as a result of phase transformations of matter on the surface of the nucleus. He go out from the initial temperature in the center of the Earth at the level of 30000°K.
Despite the significant contributions of these and other re-searchers, some fundamental issues remain unresolved. In par-ticular, why is the power density (398.2 W/m2) of radiate heat
flux from the Earth's surface 4577 times greater than the power density (0.087W/m2) of its conductive heating-cooling, and at a
depth of 50 m (364.46W/m2) – 4189 times? What heat fluxes
are the cause, and what are the consequences in the geothermal Earth’s model, and from which physical processes or from one common physical process? This contradiction shapes the pur-pose and objectives of the presented study.
III. AIM OF THE RESEARCH
Develop and investigate a dynamic geothermal model of the Earth with exogenous and endogenous heat fluxes observed on the Earth's surface at given values of their thermal energy power, elastic parameters distribution in the nucleus, mantle, crust, and temperature of the atmosphere. The model will cre-ate a new fundamental basis for a variety of practical applica-tions, including an improvement of the reliability predicting dangerous natural processes of endogenous origin.
IV. RESULTS OF THE RESEARH AND DISCUSSION
In general, the intensity of the Earth's heat fluxes depends on the energy of the Sun, the parameters of the atmosphere, the lithosphere, the mantle, and the core of the Earth. The geo-thermal model of the Earth (GTME) with heat fluxes is con-structed according to the laws of thermodynamics, in which the Earth's internal heat source (EIHS) has a constant power of 1,859*1017W (364,46 W/m2), which extends from a depth of
50 m to the Earth's surface. The model works as follows: EIHS heat the inner core, which cool, heating the outer core and man-tle. The cooling of the mantle is accompanied by the heating of the lithosphere. In addition, the cooling of the lithosphere is due to the heating of the atmosphere, which cool with a radia-tion flux density of 239.9 W/m2 of average infrared (IR) waves
[5]. Analysis of the Earth's heat balance shows that the atmos-phere transmits 66% of the average IR waves of the EIHS. Thermal flux of short absorbed IR waves penetrates the Earth's surface at 0.41*1017 W (161W/m2) [6], (163.3 W/m2) [5]. The
heat flux density of 398.2 W/m2 [5] from medium and long IR
waves corresponds to an average temperature on the Earth's surface of 16.3°C according to the Stefan-Boltzmann law. At the depth of the neutral layer, exogenous and endogenous heat fluxes are composed of opposite gradients. The Earth's neutral layer is characterized by a constant temperature throughout the day and year. Within Ukraine, the temperature of the neutral layer varies from 7 to 12°C. Below the neutral layer, the tem-perature naturally increases with depth. Above the neutral layer temperature changes during the day and year is more affected by exogenous heat, that is, by the Sun's heat than by endoge-nous heat. Conductive cooling of the Earth at the depth of the
neutral layer is almost stopped. The Earth is in an adiabatic thermodynamic state. The surface temperature of the litho-sphere remains unchanged at an average of 10°C (283.15 K) with the corresponding heat flux density of 364.46 W/m2.
Fail-ure to account for the close thermal connection between the mantle and the Earth's atmosphere results in erroneous models of the Earth's thermal field, which in turn makes it impossible to create reliable forecast systems.
It should be noted that on the eve of earthquakes in the at-mosphere, an increase in the luminescence (up to 30%) of the lower atmosphere, variations of the magnetic and electrical components of the field of noise low-frequency radiation and other changes in the atmosphere of the Earth, etc. are recorded. It is proved that during the earthquake, when the ionization in the D-region of the atmosphere sharply increases, the thermal balance of the upper atmosphere at altitudes of 80-130 km changes. The heating of the upper atmosphere by the flow of energy electrons is related to the action of seismic low-frequency radiation and to the oscillation of the power geo-magnetism under the action of moving tectonic plates [7].
The GTME study is performed by thermodynamic and en-ergy analysis methods using the probability deterministic func-tion, which will be more detailed explained in the following paper to this article. Energy analysis method exploits the idea of compatible action at every point in the physical space of laws: the conservation, modification, transfer, and packing of energy in the stochastic movement of physical points.
It is important to note that the thermal balance on the sur-faces of the planets of the Solar system, where the amount of endogenous heat generated by the planets, depending on their mass, increases. All planets (except Jupiter and Saturn), at some depth, are in an adiabatic thermodynamic state and have close exogenous and endogenous heat fluxes. Jupiter and Sat-urn have endogenous heat fluxes greater than exogenous ones. This raises the question of the time profile of the temperature on the Earth's surface from its formation, when the temperature of the entire planet was equal to, say, 6000°C (6273°K), which forms the initial density of the endogenous heat flux by the Stefan-Boltzmann law 8.78*107 W/m2 for the cold Earth
mod-el. For the hot Earth model, the density of endogenous heat flux is assumed to be constant at 364.46 W/m2. Then, the process of
the Earth’s deposit take place in an adiabatic state with the in-crease of the internal temperature in the nucleus to a given lev-el of its stabilization.
It is proved that the internal energy of rocks at each depth is in thermodynamic equilibrium with gravitational energy. The rock temperature at each point in the vertical direction is de-termined by the Stefan-Boltzmann law, which apparently forms the heat exchange determined by the Fourier heat conduction law.
148
IEEE CSIT 2020, 23-26 September, 2020, Zbarazh-Lviv, Ukraine f grad T З z0 R
TЗ z0 grad T З
4TЗ4 (1) or 4 0 T z aT z b . (2) Where 2 0 f R a z , 4 2 0 f З З R b T T z are the
coeffi-cients of layers of geological medium (GM) at a given depth z, which vary in depth and composition of rocks, - blackness factor, R - coefficient of radiation absorption, m-1;
0 З З dT z T z z T z dx – GM temperature, °K,
which depends on two main factors, namely, the in-depth com-pression and absorption of part of the energy of electromagnet-ic waves emitted by the EIHS from the bowels according to the Stefan-Boltzmann law at a temperature in the center of the
nu-cleus 6273°K; 8
5, 67 10
W/m2/°K4 is a Stefan-Boltzmann
constant.
On the surface of the lithosphere, the energy of the EIHS waves have the density of 364.46 W/m2, which, according to
the Stefan-Boltzmann law forms a stationary temperature of
Tз0=283°K, (273+10) °K. With increasing a depth, the
tempera-ture of the rocks increases, that is, the temperatempera-ture of the Earth is a function of the density of gravitational energy, where E - G
the gravitational energy of the Earth, which increases towards the center.
Experimental and theoretical geophysical studies of tem-perature dependence and stress of rocks in their depth allowed the authors to develop the Tз function .
Using the Debye Solid State Theory, which determines the substance density of thermal energy of a solid and the energy approach for modeling the change in the modulus of substance elasticity in GM from the change in gravitational energy. The relation between the density of elastic energy, which depends on its own gravitational energy with the density of thermal energy in the Earth's lithosphere is described by the equation
4 4 2 3 3 5 З G p G D RT e T e E V E T J/m3, (3)
or for the temperature-dependent gravitational energy in the form 4 3 5 4 min 5 2 3 З G p G В T E V E k R , ° K, (4)
whereR8,31451, J/mol/°K is the universal gas constant;
-34
6, 626 10
J*s is the Planck constant, determines Debye
planet temperature max
D
T k ; kВ 1,380648 10 -23J/°K is a Boltzmann constant; З, - molar mass and density of mat-ter of the planet, respectively, kg/mole, kg/m3;
G
T E - inter-nal temperature of planet matter, max 2Vp EG min°K -
the maximum frequency of oscillation of elementary objects of matter of the planet, depending on its gravitational energy, s-1;
2
0 1 ln 1 0
P G P G g
V E V E z w e z - propagation velocity of P-wave at depth z in GM, m/s; VP0- the average velocity of the P-wave on the planet's surface, m/s;
2
g P
e z z V z - volumetric density of elastic energy, J/m3; 0 w - unit volume of GS, m3; R zm G R E z m z R z dm z
- the gravitational energyof the planet, J., γ – gravitational constant; Vs in ,Vp in - interval
velocities of S and P waves, respectively, m/s;
2 3 min 3 3 12 s in p in D B s in p in V V T k V V - minimum acoustic
wave-length, m.
The connection of radiation and conductive heat fluxes of the Earth is also proved, the total thermal conductive power in the atmosphere of solar rays is determined, the temperature of their photons, and the temperature characteristics of the Earth's surface are calculated taking into account the thermal energy of the Sun.
The results obtained provided a sound scientific basis for the development of an Earth model with exogenous and endog-enous radiate heat fluxes.
Geothermal model of the Earth for sequential processes of heating and cooling of its phases (inner core, outer core and mantle, crust, atmosphere) is presented in the form for the equations following subsequently for the internal core, external core, crust, and atmosphere:
; ; ; ; NЗ Fdt C dG G AG Gdt AG Gdt CMd M AM Mdt AM Mdt C dК K AK Kdt AK K NC З dt C dA A AA Adt (5)where NЗ F dt- total thermal energy of the Earth, J.;
C З
N dt- the total thermal energy of electromagnetic waves from the Sun on the Earth's surface, J.; C dG G- the energy of heating the inner core of the Earth, J.; G- the current overage temperature of the inner core above the magma temperature, °K; AG G dt- cooling energy of the surface of the inner core, J.;
M M
149
IEEE CSIT 2020, 23-26 September, 2020, Zbarazh-Lviv, Ukraine the crust, ° K; AMMdt- energy of cooling by the magmatic
phase for heating of the crust and atmosphere, J.; C dК К- crust heating energy, J.;K - the current excess crust temperature on the Earth's surface above atmospheric temperature, °K;
AKKNCdt- energy that warms the atmosphere from
Earth and the Sun, J.; AKKdt- cooling energy of the crust, J.;
A A
C d - atmospheric heating energy, J.; А- the current excess temperature of the atmosphere on the Earth's surface above the temperature of the open physical space, °K; AA A dt- energy
released by the atmosphere into the open physical space, J.;
0
G З F G
A N T - coefficient of heat transfer of the surface of the inner core of the Earth, J.°C/s; AM NЗ TМ - coefficient
of heat transfer of the surface of the mantle of the Earth, J./°C/s; AK NЗ F TK - heat transfer coefficient of the surface
of the Earth's crust, J./°C/s; AАNЗ F TА- coefficient of heat
transfer of the atmosphere, J./°C/s;
G G G М M К К А А
C с m с m с m с m - entropy of all phase states of the substance of the Earth, J./°C;
M М M К К А А
C с m с m с m - entropy of magma, crust, Earth's atmosphere, J./°C; CK с mК К с mА А- entropy of the crust
and atmosphere, J./°C; CАс mА А- entropy of the Earth's
at-mosphere, J./°C; TG06000- surface temperature of the inner
core, °C; TK 0,5TKTК00,5 (1320 10) 665- the
average temperature of the crust between the temperatures of
the inner and outer surfaces, °C;
0,5 0,5 (1320 4026) 2673
M Я M
T T T - average
temperature of the magmatic phase, ° C; TА14, 2- average
temperature of the Earth's atmosphere, °C; EЗ NЗ F tЗ- the total thermal energy spent on heating the Earth during its geo-logical existence during time t , J.; З 4 3
3
G G G
m R - mass of
the inner core, kg; 4
3 33
M M З K G
m R L R
- mass of
outer core and mantle, kg;
3 3
4 3
K K З З K
m R R L - mass of the crust, kg;
18
5,3 10
А
m - given mass of the atmosphere, kg;
, , ,
G M K A
- average densities of the nucleus, magma, crust, Earth's atmosphere, respectively, kg/m3;
2
4
З F K K З f З З f З
N A S R - set the total thermal
power of the conductive heating-cooling on the surface of the Earth's crust, W; З f 0, 087- the average density of thermal
conductive flow on the surface of the crust, W/m2. The first
equation describes the thermal processes in the Earth's inner core, the second - in the outer core and mantle, the third - in the
Earth's crust, and the fourth - in the atmosphere. Only a sistent consideration of all these relations can ensure the con-struction of a reliable geothermal model of the Earth.
Analysis of the developed geothermal model of the Earth with heat fluxes indicates an increase in the planet's tempera-ture with constant total gravitational energy with increasing depth, as well as the existence of the following physical se-quential mechanisms that are triggered by the thermal energy when approaching the Earth's center with an increase in the thermal energy density.
The new geothermal model of the Earth provides the scien-tific basis for a more accurate prediction of the geodynamic activity of the Earth, which will help to solve the important task of civil protection - ensuring the safety and protection of the population and territories from the negative consequences of emergencies.
V. CONCLUSIONS
The developed geothermal model of the Earth forms a new understanding of the thermal processes of our planet and is the basis for the creation of the tools for predicting dangerous natu-ral processes of endogenous origin, the development of new energy saving geophysical technologies. Basing on the experi-ment data material will be given in a full paper.
The scientific significance of the geothermal model of the Earth with exogenous and endogenous heat fluxes substantiate the existence of an internal source of thermal energy in the center of the Earth's core, the energy is absorbed in a small part by the substance of the Earth, and the larger part is emitted into open physical space. The endogenous source is caused by the change of thermoplastic parameters of the substance with the change of depth, which are characterized by temperature gradi-ents, conductive heat fluxes and velocities of acoustic waves.
REFERENCES
[1] USGS U.S. Geological Survey. Retrieved from https://www.usgs.gov/. [2] A. Khorolskyi, V. Hrinov, O. Mamaikin and Yu. Demchenko “Models
and methods to make decisions while mining production scheduling” in Mining of Mineral Deposits, vol. 13(4), 2019, pp. 53-62.
[3] O.G. Sorohtin and S.A. Ushakov. Earth evolution [Razvitie Zemli]. Moscow State University Press, 2002, 560 p. (in Russian).
[4] V.V. Kuznetsov. Introduction to Hot Earth Physics [Vvedenie v fiziku goryachey Zemli]. Rus.Acad.Sci. Press, 2008, 366 p. (in Russian). [5] The NASA Earth's Energy Budget Poster. Retrieved from
https://science-edu.larc.nasa.gov/energy_budget/
[6] J.T. Kiehl and E. Kevin”Trenberth, February 1997: Earth’s Annual Global Mean Energy Budget,” Bulletin of the American Meteorological Society, vol. 78, рр.197-208.
VI Alexander Belikov 247
