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Anatoliy Rokochinskiy, Pavlo Volk, Oleg Pinchuk, Serhiy Mendus and Roman Koptyuk

Abstract

The traditional and optimization approaches to substantiation of the parameters of agricultural drainage and the results of their comparative effectiveness are considered. The results of calculation of the defined yields of crops grown at appropriate levels of drainage efficiency show that in given conditions the optimal distance between the drains at the lowest level of the hierarchy of crop performance varied from 20 m for potatoes in peat up to 38 m for cereals on sand at the appropriate change of calculation of the drainage runoff module across the entire spectrum of efficiency from ecological drainage of 0.4 m2·day-1 to the economic one of 0.85 m2·day-1.

Open access

Andrii Bomba, Mykola Tkachuk, Volodymyr Havryliuk, Ruslan Kyrysha, Ievgenii Gerasimov and Oleg Pinchuk

Abstract

The situation when groundwater considerably rises above the “normal” level, water intake, lowering of groundwater levels and other relevant practical tasks require the drainage facilities. The most effective techniques of numerical studies of the corresponding boundary problems at present time are methods of dealing with inverse boundary value problems (conformal and quasi-conformal mappings). As basis of this research we used the case of combining the fictitious domain methods with quasi-conformal mappings of the solution of nonlinear boundary value problems for the calculation of filtration regimes in environments with free boundary areas (depression curves) and zones of “mountainous” areas.

This paper reviews the stationary issue of flat-vertical stationary non-pressure liquid filtration to horizontal symmetric drainage. In the paper a practical methodology for solving boundary value problems on conformal mappings is suggested for the calculation of the filtration process in the horizontal symmetrical drainage.

The idea of block iterative methods was used during the creation of the corresponding algorithm which is based on the alternating “freeze” of the anticipated conformance parameter, the internal and boundary connections of the curvilinear area.

The results of the conducted numerical calculations confirmed the effectiveness of the suggested problem formulations and algorithms of their numerical solution and the possibility of their use in the modelling of nonlinear filtration processes occurring in horizontal drainage systems, as well as in the design of drainage facilities and optimizing other hydrosystems. Therefore these results are of great importance.

Open access

Anatoliy Rokochinskiy, Pavlo Volk, Oleg Pinchuk, Vasyl Turcheniuk, Nadiia Frolenkova and Ievgenii Gerasimov

Abstract

In the article we developed the design principles and implementation of a complex model and optimized the design parameters of drainage. The study was based on the implementation of interconnected structural and technological forecasting simulation and optimization model blocks, which in turn allowed to justify the optimal design parameters and drainage considering multiple natural and agronomic conditions and reclamation facilities. Example of evaluating the performance of drainage on drained lands was made for the conditions of a real project, implemented on lands of agricultural holding “May Day” located within of drainage system “Ikva” in the Rivne region. For the object conditions (average decade formation conditions of the drainage flow module for growing perennial grasses, winter cereals and potatoes) the estimated duration of the growing season was 214 days (100%), of which the total duration of drainage was 60% and included different levels of efficiency: 39% – ecological, 15.5% – technological and 5.5% – economic. The duration of its critical operations (forming module drainage flow exceeds the design of its value) does not exceed 5%. Thus, this approach enables the assessment of drainage with predetermined or specified parameters in the construction or renovation of drainage systems on different levels of effectiveness. It can be effectively used in the overall complex predictive and optimization calculations to substantiate the design and parameters of agricultural drainage, taking into account the variability of natural agrotechnical and reclamation conditions of a real object.

Open access

Serhii Martynov, Victor Fylypchuk, Vitalii Zoshchuk, Serhii Kunytskyi, Andrii Safonyk and Oleg Pinchuk

Abstract

Different types of filters are used to remove iron from underground water, one of them is foam polystyrene. Depending on the chemical water composition, tasks for water supply and other working conditions of iron-removing filters, it is necessary to define an exact grain size, specific granulometric composition, the thickness of the layer and the adequate rate of filtration. This kind of problems is multifactorial and its solution is based on the mathematical modelling.

As a rule, two parallel processes considered during iron removal of underground water in filters: efficiency of water treatment and growth of head losses. Therefore, the model of water iron removal based on two main blocks, clarifying block takes into account the material balance and kinetics of the process; hydrodynamic block describes the dynamics of head loss in the granular loading. The kinetics of the detention of iron compounds in granular loading consists of two mutually opposite processes. With an increase of the amount of adsorption-catalytic precipitate, the rate of sorption of iron compounds and oxidation of ferric iron increases and the efficiency of iron-removing increases. On the other hand, with decreasing porosity of loading the true velocity of the fluid increases, that reduces the intensity of adhesion of iron compounds.

Developed mathematical model allows for determining optimal values of structural and technological parameters of iron-removing filters taking into consideration the specific filtering conditions.