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Information × Registration Number 0219U001328, 0116U000711 , R & D reports Title The development of methods for complex analysis and perturbation theory of nonlinear processes modeling with control, identification and optimization popup.stage_title Head Bomba Andrii Yaroslavovych, Registration Date 24-01-2019 Organization Rivne State Humanitarian University popup.description2 Research report: 733 p., 218 fig., 8 tab., approximately 450 sources. Keywords: perturbation theory, asymptotic methods, complex analysis, quasiconformal mappings, numerical methods, identification methods, tomography of applied quasi-potentials, parameter optimization, automated control, oil and gas formations, fractures and explosion theory, image compression, separated waves of soliton type, contact problems, total images, p-i-n-structures difuzionlike potentials knowledge. Research object: nonlinear processes in porous and differentporous (nanoporous) environments, in particular: a multiphase multicomponent filtration processes in oil and gas reservoirs, including their stabilization with time prediction residual portions in the oil and gas saturation; processes for cleaning liquids from multicomponent impurities by filtering them in multiphase media with regard to thermal mode; propagation processes localizing solitons shapes perturbations in continuous media with regard to their interaction. Subject of research: mathematical models of the processes described above and methods for solving relevant problems. Related issues of image identification and compression. The project is dedicated to creating effective methodological and mathematical tools for modeling nonlinear processes such as filtering, convection, diffusion, and mass transfer in porous and nanoporous media with aftereffect in terms of control, identification and optimization of parameters, development of numerical methods for complex analysis, and perturbation theory for solving appropriate nonlinear and regular singularly perturbed problems, as well as modeling the propagation of localized soliton's perturbation shaped in continuous with meals based on their interaction and the development of the method of traveling waves. Application to the study of processes: the displacement of fluids in oil and gas reservoirs under the condition of their interaction with each other (for example, phase transitions, diffuse redistribution of phase components, etc.) and a porous medium (particle sediment, sorption, adsorption of the active components by the skeleton of the rock) and other; filtering liquids from multicomponent impurities, is one of the most complex and common technological processes in various industries; cooling ponds in conditions of the prevalence of convective-mass transfer of their components over diffusion. Research method: Common approaches to the construction of hard and soft nonlinear mathematical models of processes and systems; numerical-asymptotic and analytical methods; ideas for taking into account temporary delays; technique refinement known classical models by switching to the appropriate "disturbed" tasks, thus preserving the classical forms laws describing processes of fluid flow in porous media, and the construction of their solutions without starting the "first" to so known "unperturbed". Addressing various amendments; methods of theory of functions of complex variables, numerical methods and quasi-conformal mapping, methods for constructing conservative difference schemes, other numerical methods (finite difference method, the block of iterations, successive approximations in modifications of various kinds). The research results were introduced: in the educational process of the Faculty of Mathematics and Informatics of the Rovno State Humanitarian University, the Educational and Research Institute of Automation, Cybernetics and Computer Engineering of the National University of Water Management and Nature Management, as well as implemented in the National University of Agriculture under the following contracts: №3-150, 2018 (state registration number 0118U002162) "Development of technological schemes and recommendations for the reconstruction of iron removal station village Tomashgorod"(deadline - 05.18-12.18) №3-151, 2018 (state registration number 0118U002163)" Development of standards for drinking water supply for subscribers of KP Rokitnevodokanal " (deadline - 07.18-12.18) besides, the results of research on - research state budget topic was used in NUVHP in the reconstruction of the technological scheme of deironing groundwater with polystyrene foam filters, where the above-mentioned projects provide for deironing water by simplified aeration, as a result of which are iron hydroxide flakes are retained in the grit loading oh filters (hugegranulled industrial polystyrene foam).54815481 Product Description popup.authors Бойцов Вадим Іванович Бойчура Михайло Володимирович Гаврилюк Володимир Іванович Гладка Олена Миколаївна Климюк Юрій Євгенович Малаш Катерина Миколаївна Мороз Ігор Петрович Назарук Марія Володимирівна Присяжнюк Ігор Михайлович Присяжнюк Олена Вікторівна Сінчук Алеся Михайлівна Сафоник Андрій Петрович Сяський Андрій Олексійович Сяський Володимир Андрійович Таргоній Іван Миколайович Турбал Юрій Васильович Шевцова Наталія Вікторівна Шпортько Олександр Володимирович Ярощак Сергій Вікторович popup.nrat_date 2020-04-02 Close