In the practice of hydraulic engineering construction, especially in mountainous and foothill areas, quite often there are conditions under which it is economically advantageous to build a dam reservoir from heterogeneous local materials with different filtration characteristics. As a rule, in such areas near the site of the future dam there is not enough homogeneous construction soil that meets all the requirements. However, it is possible to find soils that differ in water permeability, but in sufficient quantity for the construction of the body of this dam.

Keywords: reservoir, dam, filtration, soil, section, pool, anti-seepage core, flow, slope

Explicit formulas for the spectral characteristic and optimal linear filtration operator with a forecast for stochastic L–Markov processes are obtained using methods of spectral analysis of random processes, the theory of functions of a complex variable, and using stochastic differential-difference equations. An interesting example of an optimal filtration operator with a forecast for an L-Markov process with a quasi-rational spectral density generalizing the rational one is constructed for technical applications. It is shown that the forecast filtering operator is the sum of a linear combination of the values of the received signal at some time points and the integral of an exponentially decaying weight function.

Keywords: random process, L-Markov process, prediction filtering, spectral characteristic, filtration operator

The paper develops an algorithm for constructing an optimal lagged filtration operator for an L-Markov process. The explicit formula of the filtration operator is obtained on the basis of methods for calculating stochastic integrals and the theory of analytical functions of a complex variable using spectral analysis and the theory of L-Markov processes. An interesting example of an optimal lagged filtration operator for an L-Markov process is considered, which can be used for modeling and controlling complex stochastic systems. It is shown that this operator is represented as a linear combination of the values of the received signal and an integral with an exponentially decaying function.

Keywords: random process, L-Markov process, noise, lag filtering, spectral characteristic, filtering operator

When studying the problems of water filtration to a single horizontal imperfect drain of finite length, in a system of interacting horizontal imperfect drains, it is necessary to consider spatial (three-dimensional) filtration problems. Unlike flat (two-dimensional) problems, spatial filtering has been studied in less detail, since it is difficult to obtain rigorous solutions to their problems.

Keywords: water supply facilities, filtration, equipotentials, drainage, borehole, pressure reservoir, drain, pressure, inflow, reservoir, watercourse

The issues of high-quality and reliable water purification for medical needs are considered. The cleaning process is inextricably linked with the automated control of engineering systems. Water for medical purposes places high demands on the degree of filtration. In this regard, the task is formulated to ensure continuous automated monitoring and control of the cleaning process. The paper shows an algorithm for controlling the process of preliminary water purification. Based on the algorithm, a program was written in the ST language, which describes the logic of the visualization with the function of displaying and controlling the process. A fragment of the functional diagram of preliminary filtering is given. A visualization of the filter washing process is presented.

Keywords: maximum level, minimum level, backup filter, storage tank, pre-cleaning, technological equipment, visualization algorithm, functional diagram, alarm, filter washing

On the basis of dimension-regression method, experimental design, using Greco-Latin square, the authors have carried out theoretical studies of the filtration process through the channels facing damage, the formation of which is almost inevitable when the protective coating on top of the device impervious polymeric element. Using factors in dimensionless form, were constructed graphs depicting the results of the experiment, as well as to obtain an equation of the filtration coefficient lining, the adequacy of which is confirmed by the Fisher criterion.

Keywords: experiment planning, impervious lining, filtering, damage, Latin square, dimensionally-regression method

The results of experimental studies on the sorption properties of the material ODM - 2F in aluminum, iron and petroleum products

Keywords: Water preparation, filtering material, the sorption isotherm, ODM-2F

There were considered the processes of electrochemical coagulation and contact filtration for clarification, bleaching and disinfection of the Don River. There were made the experiments to compare electrochemical coagulation to chemical treatment of water with different reagents in conditions of contact filtration. There were defined feculence change, water chromaticity depending on reagent dose and the changе of the total microbial number.

Keywords: Extraordinary situations, water-supply, coagulation, clarification, bleaching, filtration, purification effect.

The article presents data on the coefficient of performance (COP) of the existing irrigation systems, data on losses from irrigation channels and the distribution of their filtration. Examines the implications, fuss-tic at lower efficiency and as a result, filtration of water from irrigation canals-systems. A number of measures to reduce the loss of water through seepage from irrigation canals, including: maintenance, engineering and design activities.

Keywords: Filtration, irrigation system, coefficient of performance, protivofiltratcionnye activities, covering, cladding, screens, geosynthetics

A comprehensive analysis of the trend indicators moving averages (simple – MA, exponential – EMA moving average convergence-divergence – MACD). Used data from the site of Forex (FX) for the period from 21 July to 21 October, 2013. Computing scheme is implemented in the mode of conservative scalping trading system unveils new profitable intraday trading system for the forex market Forex.

Keywords: Trend indicators, moving Average, simple average, exponential Moving Average, moving average convergence-divergence, trend, short-term trend, period, a short period, long period, conservative scalping.

The article is devoted to the analysis of the software (В, S)-market model in case of Haar special filtration is under observation.

Keywords: completeness, τ-completeness, arbitrage, (B,S)-market model

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