scholarly journals DEVELOPMENT OF COMPLEX ANALYSIS METHODS IN FILTRATION THEORY PROBLEMS

2015 ◽  
Vol 56 (5) ◽  
Keyword(s):  
Complex Analysis ◽  
Filtration Theory ◽  
Analysis Methods

scholarly journals Comparison of Flow Solutions for Naturally Fractured Reservoirs Using Complex Analysis Methods (CAM) and Embedded Discrete Fracture Models (EDFM): Fundamental Design Differences and Improved Scaling Method

Geofluids ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-20
Author(s):  
Aaditya Khanal ◽  
Ruud Weijermars
Keyword(s):  
Complex Analysis ◽  
Fractured Reservoirs ◽  
Fluid Velocity ◽  
Naturally Fractured Reservoirs ◽  
Natural Fractures ◽  
Flow Distortion ◽  
Cubic Equation ◽  
Analysis Methods ◽  
Discrete Fracture ◽  
Fracture Models

The present study compares flow paths in reservoirs with natural fractures, solved with Complex Analysis Methods (CAM), to those solved with Embedded Discrete Fracture Models (EDFM). One aim is to define scaling rules for the strength (flux) of the discrete natural fractures used in CAM models, which was previously theoretically defined based on the expected flow distortion. A major hurdle for quantitative benchmarks of CAM with EDFM results is that each of the two methods accounts for natural fractures with different assumptions and input parameters. For example, EDFM scales the permeability of the natural fractures based on a cubic equation, while CAM uses a flux strength. The results from CAM and EDFM are used to scale the flux strength of the natural fractures and improve the equivalent permeability contrast estimation for CAM. The permeability contrast for CAM is calculated from the ratio of the enhanced velocity inside natural fractures to the unperturbed matrix fluid velocity. A significant advantage of flow and pressure models based on CAM is the high resolution without complex gridding. Particle tracking results are presented for fractures with different hydraulic conductivity ranging from highly permeable to impervious.

scholarly journals INDUSTRIAL PARKS: WORLD EXPERIENCE AND PERSPECTIVES OF CREATION IN UKRAINE

2018 ◽  
pp. 40-50
Author(s):  
Victor Halasiuk
Keyword(s):  
Industrial Development ◽  
Complex Analysis ◽  
System Analysis ◽  
Developed Countries ◽  
Industrial Sector ◽  
Legal Aspects ◽  
International Experience ◽  
Synthesis Methods ◽  
Analysis Methods ◽  
Industrial Parks

Introduction. The deindustrialization processes in Ukraine can be defined as the result of national industrial potential degradation, that throws domestic economy back in the past in comparison with highly developed countries. At the same time, the restoration of the industry is constrained by sharp "investment hunger», which deepens the problems of unemployment and emigration of the population, preserves a low standard of living. Overcoming the systemic problems prevailing in the domestic industrial sector requires the decisive use of effective industrial development instruments, one of which is industrial parks. Purpose. The article aims to argue the perspective directions of the Ukrainian industrial sector development using the mechanism of industrial parks on the basis of international experience analysis. Method. Methodological base of the paper covers a complex of complementary methods of scientific research of economic processes and phenomena: historical and logical method, method of system analysis, methods of economic and mathematical modelling, comparative and statistical analysis, general scientific methods of analysis and synthesis, methods of induction and deduction. In order to carry out the complex analysis, methods of computer processing, analysis and display of information using the Microsoft Excel program also are used. Results. The article has discussed essential and economic and legal aspects of industrial parks creation as a mechanism for the formation of a favourable investment climate in order to increase the international competitiveness and develop industrial sector of Ukraine. Advanced international experience of using industrial parks to provide accelerated economic growth on an innovative basis has been analysed. Existing preconditions and prospects for activating the policy of industrial parks creation in Ukraine have been investigated. Legislative initiatives to promote the opening and launching of new industrial parks in the domestic practice of industrial development have been argued. The measures of industrial policy, which should complement the existing legislative norms and initiatives concerning the development of a network of industrial parks in Ukraine, have been outlined. The results of the econometric analysis of industrial parks influence on the main macroeconomic indicators (gross domestic product, foreign trade, employment, volumes of industrial production) of Ukraine have been presented.

scholarly journals OPTIMIZATION OF CONTROLLED EXPLOSION PROCESSES PARAMETERS USING COMPLEX ANALYSIS METHODS

2019 ◽  
Vol 9 (1) ◽  
pp. 29-32
Author(s):  
Andrii Bomba ◽  
Andrii Safonyk ◽  
Kateryna Malash
Keyword(s):  
Quasiconformal Mapping ◽  
Complex Analysis ◽  
Analysis Methods ◽  
Disturbed Soil ◽  
Field Dynamic

The optimal charge power and position necessary for forming the maximum possible size of the crater along with preservation of the integrity of the two nearby objects with the numerical quasiconformal mapping methods with the alternate parameterization of the of the medium and process character are established. Unambiguously the boundaries of crater, pressed and disturbed soil zones are identified and the corresponding field dynamic grid is built. A number of experiments was held on the basis of the developed algorithm and their results were analyzed.

scholarly journals Fast Models of Hydrocarbon Migration Paths and Pressure Depletion Based on Complex Analysis Methods (CAM): Mini-Review and Verification

Fluids ◽  
2020 ◽  
Vol 5 (1) ◽  
pp. 7 ◽  
Author(s):  
Ruud Weijermars ◽  
Aadi Khanal ◽  
Lihua Zuo
Keyword(s):  
Complex Analysis ◽  
Time Of Flight ◽  
Hydrocarbon Migration ◽  
Field Development ◽  
Analysis Methods ◽  
Pressure Depletion ◽  
Order Of Magnitude ◽  
Shale Reservoirs ◽  
Drained Rock Volume ◽  
Diffusive Time

A recently developed code to model hydrocarbon migration and convective time of flight makes use of complex analysis methods (CAM) paired with Eulerian particle tracking. Because the method uses new algorithms that are uniquely developed by our research group, validation of the fast CAM solutions with independent methods is merited. Particle path solutions were compared with independent solutions methods (Eclipse). These prior and new benchmarks are briefly summarized here to further verify the results obtained with CAM codes. Pressure field solutions based on CAM are compared with independent embedded discrete fracture method (EDFM) solutions. The CAM method is particularly attractive because its grid-less nature offers fast computation times and unlimited resolution. The method is particularly well suited for solving a variety of practical field development problems. Examples are given for fast optimization of waterflood patterns. Another successful application area is the modeling of fluid withdrawal patterns in hydraulically fractured wells. Because no gridding is required, the CAM model can compute the evolution of the drained rock volume (DRV) for an unlimited (but finite) number of both hydraulic and natural fractures. Such computations of the DRV are based on the convective time of flight and show the fluid withdrawal zone in the reservoir. In contrast, pressure depletion models are based on the diffusive time of flight. In ultra-low permeability reservoirs, the pressure depletion zones do not correspond to the DRV, because the convective and diffusive displacement rates differ over an order of magnitude (diffusive time of flight being the fastest). Therefore, pressure depletion models vastly overestimate the drained volume in shale reservoirs, which is why fracture and well spacing decisions should be based on both pressure depletion and DRV models, not pressure only.

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