The authors consider the need to adapt new employees at the enterprise through the use of an electronic course. The article provides definitions of the concepts "e-course", "adaptive e-course". The adaptive e-course is a course designed to familiarize new employees with the history, structure and corporate values of t he company, allowing the new employee to be adapted to unusual labor and psychological factors. The analysis of adaptive courses is carried out and the main technologies of e– course development are highlighted (virtual and augmented reality technologies, gamification, online chats, LMS and corporate learning portals, machine learning and artificial intelligence, learning Analytics and BigData, storytelling). The advantages of storytelling technology in the development of an adaptive e -course, especially in providing psychological support during the adaptation period, are considered.

In this paper the correlation and regression factor analysis of population growth of Pavlodar region between 2009-2013years. In this article the correlation and regression analysis of fertility by region of Pavlodar region in the period 2009-2013. This analysis relevant in determining the level natural movement of the population according to social factors. In the form factor variable data used general divorce rate in the region and the average housing supply, sq. m. of total area 1 person. According to the results identified a close relationship between the factor and effective sign.

In the article, the problem-oriented analysis of the current state of water transport of Ukraine based on the current geopolitical situation was made. The author has made an attempt to identify and organize internal and external factors that influence the innovative development of water transport of the Ukraine, that increase the efficiency of its operation under current conditions.

The possibilities of using controlled transformer-type shunt reactors at power grid substations to optimize the transmission mode are considered. The laws of voltage regulation, providing the mode of natural power and reduction of active power losses in the electrical system, are highlighted. Key words: energy complex, controlled transformer-type shunt reactor, voltage stabilization, thyristor voltage controller, control winding.

Nanotechnology is a field of fundamental and applied science and technology dealing with a combination of theoretical substantiation, practical methods of research, analysis and synthesis, as well as methods for the production and application of products with a given atomic structure through controlled manipulation of individual atoms and molecules. In the Address of the President of the Republic of Kazakhstan to the people of Kazakhstan Strategy "Kazakhstan-2050" New political course of the state, the leader of the nation, N.A. Nazarbayev, defines 10 tasks that Kazakhstan faces, one of which is the transition of Kazakhstan to the third industrial revolution. Nanotechnology is one of the branches of the industrial revolution. In the modern world, over the past few years, there has been a rapid development of nanotechnology. The peculiarity of nanotechnology lies in the possibility of their application in an unlimited sphere; therefore they are the basis for a completely new technological order of the economy. Сonsequently, its development in the country is regarded as a particularly important sphere of science. Usage of nanotechnology products will save on raw materials and energy consumption, reduce emissions to the atmosphere and, as a result, will contribute to sustainable economic development.

The article considers an important priority of the state policy of the Republic of Kazakhstan – the preservation and strengthening of public health. In the context of this problem, the quality of management of medical institutions plays an important role. In the context of the economic crisis in health care, it is necessary to increase the efficiency of medical institutions through the introduction of new forms, methods and models of management. Factors that make it difficult to manage health organizations can be divided into two groups according to the method of occurrence: environmental factors and internal environmental factors. Together, interacting with each other, these factors lead to inhibition of the development of modern medicine. Thus, it is possible to identify the main problems that arise in the management of medical institutions at the present stage: the fragmentation of underfunding, low level of confidence of Kazakh citizens in the health care system, the problems of quality and availability of medical services, the lack of highly qualified medical personnel, low managerial skills of heads of health organizations. Conclusions on improving the quality of health services are made.

In this article we have studied the actual problems of the Republic of Kazakhstan in the field of legal regulation and counteraction to trafficking and drug addiction. The aim of the study was to study the problems leading to modern drug situation and determine the possibilities of their solution. The annual decrease of the registered acts in this area, at decrease of the solved crimes is established. There is an increase in synthetic drugs among young people, which go through the Internet. The results of counteraction to the fight against drugs were the elimination of organized criminal groups, detection of smuggling and legalization of income from drug trafficking and a set of preventive measures of various directions. It is proposed to continue to improve the legislation to ensure effective social and state control over synthetic and other drugs. To develop a comprehensive program aimed at the prevention of modern forms of drug addiction and the fight

The article is devoted to the mathematical modulation of a complex of experimental data obtained in the process of experimental studies of processed cheese products, processed by mathematical methods. The purpose of this study is to establish the type and amount of the melting salt that promotes the formation of the plastic structure of the processed cheese product. The analysis of scientific research in the field of food technologies showed that mathematical modeling is used in the following areas: clarification of the modes of technological processes, design of recipes and assessment of the quality of finished products, as well as forecasting the shelf life of new products when they are put into production. The most relevant in describing the processes of food production are models of multivariate variance-regression analysis using methods of mathematical planning of the experiment. The authors carried out mathematical modeling and established graphical dependencies characterizing the degree of influence of the regulated factors X1 and X2 on the controlled ones that determine the quality and safety of processed cheese products. It is important that the mathematical analysis of the graphical dependences of the rheological parameters on the adjustable factors indicates the reliability of the data obtained. It is concluded that an increase in the melting salt dose leads to an increase in the – limit shear stress, which reflects the nature and state of the consistency of the processed cheese product. The process of normalization of the controlled factors by the maximum value was carried out. Graphical dependencies were built and regression analysis was performed, the results of which allow an objective assessment of the degree of influence of the type and dose of the melting salt on the chemical and organoleptic characteristics of the test products. The authors have proven that the optimal efficiency of transforming the structure of the constituent components of the recipe into a plastic structure of a processed cheese product that is stable during storage is provided by a combination of adjustable factors X1 (Solva 85) and X2 (Solva 120) taken in a ratio of 1: 1, with a total amount of 1,2 mas.%. At the same time, the quality indicators of the experimental products are characterized by the following values of the controlled factors: У1 – 1280 Pa; У2 – 9 points, У3 – 9,301 (2,0-2,2109 colony forming units /g).

Main problem: Presence of acidic chemicals such as carbon dioxide and hydrogen sulphide, composition of production fluids triggers corrosion. Corrosion in oil and gas industry leads to deterioration of equipment since most of equipment is made of metal alloys. Application of inhibitors is one of the corrosion mitigation methods that needs to be controlled because it is important to identify optimal concentration of the chemicals in production fluids.Residual chemical analysis plays an important rolein identifying the appropriate dosage of corrosion inhibitors and its correction. It is imperative to find the most optimal concentration of amines due to the fact that both overdose and underdose could lead to equipment deterioration. The chemical analysis is hindered by complexity of mixtures that are applied in petroleum industry. Purpose: The main purpose of this article is to find out the most effective method of residual chemical analysis for inhibitors used against sweet and sour corrosion by studying and analyzing corresponding literature review. The analysis should be carried out with robust, sensitive, and accurate instrumentation. Methods :Theoretical study of composition and mechanism of amines used in oil and gas industry as corrosion inhibitors and selection of appropriate instrumental analytical techniques for the residual analysis. Results and their importance: After careful studying and consideration of modern instrumental analytical techniques the most optimal and efficient method in terms of robustness, time saving and cost was selected. Ion chromatography is an adequate method to carry out residual chemical analysis for amines that are used as inhibitors in oil and gas industry to prevent sweet and sour corrosion.

The article discusses methods for creating smart things, using the example of the use of innovative technologies in the field of materials for clothing and footwear. The factors of form formation are substantiated by the example of the preferences of an individual customer who forms its image through accessories and shoes. The author considers the factors of shaping, based on the special functional features of shoes in connection with ergonomic factors. The designer is able to foresee the factor of transformability in modern footwear, changes in functional qualities, appearance, and design features of new footwear. As a result, on the basis of these transformations, to get a new emotional image and a new form. The shape of the shoe becomes a factor for transformations at the request of the customer. The article discusses the functional tasks of this shoe, plastic characteristics, technical and design tasks. As research methods, the article proposes variants of experimental models with possible stages of transformation, presents preliminary technical data, conducts a comparative analysis with innovative footwear samples of famous world designers, and makes assumptions about the development of this model in the future. An experimental method was used during the study. A shoe shape was developed, which took into account the preferences of the age group of 12-16 years old, relying on this category of consumers, we were able to go beyond the rational understanding of shoes as a functional form and gave it the meaning of a fantastic image, which allowed us to consider the form in the semantic and artistic context dictated by this age group of consumers. In addition, investing in this model the concept of "smart shoes", we considered not only the ability of modification and transformation by rearranging replaceable parts, the possibility of designing and reincarnating from one form to another, combining the constituent elements of the shoe into one whole, but also the development of the creative potential of the consumer, who at its own discretion can rebuild the structure and, in fact, as a designer itself, form a new model. The article makes assumptions about its further development in various fields of activity. For example, medicine, sports, art, etc. Considering the introduction of new materials, we relied on discoveries in the field of nanotechnology and considered among the possible features of this model the change in color on the basis, the reaction of materials to light, temperature, etc. The project is aimed at creating such shoes that will be developed for a wide range of consumers thanks to the wide range of possibilities contained in the design of the form and the features of modern materials.

The main problem of the article discusses the methods of developing a collection of casual clothing with elements of ethnic style, using the example of innovative technologies in the field of creating ornaments for clothing. Factors of formation of ornaments based on the structure of the human body are justified. The author considers the factors of shaping, based on special visual features of clothing in connection with ergonomic factors. Study of the specifics of ornamental motifs to transform them into a component of modern youth clothing. The authors of the article monitored the environmental approach, that is, the acquisition of knowledge about cultural values based on the selection of all the best that was created by the people, introduction to cultural folk traditions, dialogue between man and culture. When writing the article, we used author's and experimental research methods, fixing information in tables and author's sketches. The study of categories and definitions was carried out by the method of selecting and classifying information, as well as its analysis. Comparative analysis of forms of traditional and modern culture, study of bibliographies on architecture, art, philosophy, psychology; analysis of materials of scientific monographs, abstracts and dissertations, articles, creative essays of masters of architecture and art, from the point of view of the concepts, principles, conceptual and terminological formulations contained in them. In addition, private scientific methods are used: analysis of literary sources to identify current trends in the formation of art. Аs the results of the research, a collection has been developed that considers various types of clothing decoration, uses methods for including ornaments in the structural structure of the costume and provides models, calculations and drawings. The author's collection justifies the use of ornaments in connection with the selected artistic and figurative task of the collection, as well as in connection with its functional purpose. All these factors are formative. And the practical experience of this research shows the relevance of this topic in connection with the need not only to promote the historical achievements of Kazakhstan's culture to the masses and popularize them, but also as a method that helps to understand the possibilities of its translation into modern design objects. Keywords: ornament, youth, model, collection, Kazakhstan.

The article examines modern technologies that contribute to the implementation of creative design ideas, based on the analysis of modern lighting technology and energy saving factors. It is hypothesized that the goal of modern design in this article is defined as the creation of new space and values, through the renewal of the human environment. The basis for confirming this hypothesis should be the justification for the use of lighting technology and electronicsin solving conceptual and artistic design problems. The scientific research is based on the methodology for making design decisions and ways to open new ways for the implementation of creative imagination and new conceptual solutions of the designer, on the example of designing the interior of a cafe. The author considers and substantiates such terms as intelligent space, interior as a process, integrated lighting systems, informatization of interior space, new methods of decoration, etc. Examples of analysis of design situations from are given the point of view of functional tasks, classification of requirements when making design decisions is substantiated. Lighting technologies in the interior are viewed as a tool that solves a whole range of tasks that combine aesthetic and technological principles of interior shaping. Modern technology is seen as a designer's tool that should be used to understand the role of design as a conduit of scientific advances and innovative technologies to the consumer environment.

Main problem: The unfavorable conditions in which a significant part of the population of our country lives (living in conditions of harmful, stressful, physical, chemical and radiation effects), an imbalance in nutrition dictate the need to create a variety of functional products enriched with pro– and prebiotic factors. In the science of nutrition, a functional direction has been developed - this is nutrition, which provides for the consumption of such products of natural origin, which, when used daily, have a regulating effect on the body as a whole, its certain systems, organs, providing a drug-free positive correction of their function. Compared with traditional types of dairy products with high organoleptic and commodity characteristics, produced on the basis of classical technological techniques, dairy products of the new generation should have increased nutritional and biological value. The article is devoted to the research and development of the technology of a new cottage cheese product - cottage cheese paste produced with the addition of lactulose concentrate and fruit and berry fillers. This article discusses the steady trend towards the use of fermented milk products with functional properties in the diet of modern humans. Purpose: Study and development of technology of thermized cottage cheese paste enriched with prebiotic lactulose and fruit and berry fillers. Methods: Analysis and generalization of theoretical information, organoleptic evaluation, physicochemical methods of analysis, microbiological methods of evaluation of cottage cheese paste, quality control of the finished product. Results and their significance: The positive role of prebiotic substances in the vital activity of the macroorganism was studied. It is not for nothing that academician Andrei Georgievich Khramtsov once called lactulose "a miracle made of milk." Lactulose, being a strong bifidogenic factor, allows stabilizing the microflora of the stomach. Lactulose activates the growth of bifidobacteria, which take root well in the intestine and ferment lactulose to form lactic acid. Lactic acid suppresses the development of pathogenic and putrefactive bacteria. As a result of the conducted studies, it was determined that the cottage cheese paste enriched with lactulose had high quality indicators and retained its consumer properties during the entire storage period. The introduction of lactulose into the recipe of cottage cheese paste does not reduce the nutritional advantages of the finished product.

It is known that an increase in the volume of production in any sphere of production as a consequence increases the intensity of anthropogenic impact on the environment, including the atmosphere. This problem is especially typical for oil refineries. On the one hand, this is due to the complexity of oil refining processes and the release of various hydrocarbon compounds into the atmosphere during processing. Therefore, when implementing sustainable ecological and economic development in the Azerbaijani regions that are associated with oil refining, an increase in the volume of products should not create an increase in environmental impact. This problem is considered one of the factors directly affecting the economic situation of the enterprise, as well as creating certain environmental, social and economic problems for society as a whole. The purpose is to study the possibility of using the correlation-regression method in solving the problem of determining the presence of the decapling effect. The relationship between the volume of petroleum products produced and the amount of pollutants released into the atmosphere is random and is characterized by stochastic and statistical dependence. At the same time, on the basis of a mutual comparison of the methods of correlation and regression analysis and the method of production function, the effectiveness of correlation and regression analysis is determined. The methodological basis of the work was the scientific works of scientists-economists, mathematicians providing the definition of the decoupling effect at industrial enterprises. In the presented methodology, the obtained estimates of the performed in real time vary depending on the values of the set parameter. When developing the presented methodology, the STATISTIKA software package was used. This program was developed by StatSoft. Based on the obtained and experimentally verified data, the equation of linear regression dependence is determined. During the research, it was found that in some cases it is not possible to evaluate the statistical characteristics of a random variable or it is accompanied by serious errors. Therefore, when processing data, instead of mathematical expectations and variances, we used selective mathematical expectations and variances. The analysis of the ecological and economic situation of oil refineries based on correlation and regression analysis allows us to determine the presence of the decapling effect. The obtained correlation coefficient between the volume of production oil products and the volume of emissions into the atmosphere shows that there is no statistically significant relationship between these parameters. Thus, there is an achievement of the decoupling effect between the production of petroleum products and the volume of emissions of pollutants into the atmosphere.

An analysis of the mechanical, chemical and pyrogenic impact of the Baikonur Cosmodrome on the environment showed the presence of man-made impacts of the first stages (FS) used on the ecosystems of the impact zones (IZ). This article presents the concept of a controlled landing of spent launch vehicles with liquid rocket engines (LRE) in the expected zones of damage to the ecosystems of the area while maintaining the energy-optimal launch scenario of the launch vehicle. Purpose of the article - development of effective technologies for reducing the anthropogenic impact during launches of promising rockets from the Baikonur Cosmodrome based on theoretical and experimental studies of innovative technologies: reducing the area of impact of parts from launch vehicles; fire and explosion safety, no danger of rocket launchers; controlled descent of used first stages; To solve the problem, it is proposed to create an additional IASM, which will be included in the environmental management system of the Baikonur Cosmodrome. Possible design solutions are proposed based on the evaporation of untreated liquid waste from the tanks of separated parts, their fire and explosion safety, and the use of the obtained vapor-gas mixtures for controlled unloading of separated parts while moving along the landing trajectory to the optimal area. The authors of the article have developed evaluation criteria that characterize the main environmental indicators of the studied areas: fire hazard, soil cover and impact on vegetation are studied for inclusion in the IASM. There are objective requirements and basic rules for the creation of HIASM, which is an integral part of the environmental management system of the cosmodrome.

The main problem: Modern research in the development of fermented milk products is focused on increasing the bioavailability of milk components, as well as the use of bacterial components of sourdough, which increase health properties. The use of the fermentation process of skimmed milk with a combined starter consisting of traditional for cottage cheese and starter cultures of probiotic cultures immobilized in a gel of biopolymers is very important. Purpose: The purpose of this study is to determine the optimal amount of starter, consisting of an association of probiotic cultures immobilized in a gel of biopolymers (membranes) to be added to fermented skimmed milk in order to enrich it with functional ingredients. Methods: A one-factor experiment was used. The culture association Propionibacterium freudenreichii subsp. was used as a regulatory factor. Shermanii, Bifidobacterium lactis and Streptococcus thermophilus, immobilized in a biopolymer gel, added to skimmed milk in the form of membranes (determined as a percentage of the mass of fermented milk). Controlled factors are the main indicators characterizing the efficiency of the skim milk fermentation process; these are active acidity, the logarithm of the number of viable cells of bifidobacteria, the logarithm of the number of viable cells of propionic acid bacteria, and organoleptic evaluation. Results and their significance: Based on the results of a mathematical analysis of the totality of values of controlled factors depending on the amount of starter cultures of probiotic cultures, mathematical models were built to determine the degree of influence of the starter on the quality indicators of the product, using the Table Curve 3D-v4 mathematical computer program.

In order to successfully conduct agricultural work and obtain a competitive harvest, it is mandatory to carry out spraying operations of crops that require highly qualified personnel, expensive equipment and suitable weather conditions. The use of tractors for spraying fields is the most common solution available at the moment, has disadvantages: high cost, risk of damage to the crop by "hitting", "hooking" or otherwise; environmental damage; due to exhaust gases, the demolition of the solution increases with increasing speed. Using a device designed specifically for spraying equipment is an ideal solution. The purpose of the article is to develop a working model of an automated sprayer for processing agricultural crops. The methods used are: technical justification of a controlled device for processing agricultural crops. Calculation of functional capabilities, algorithms of operation of the proposed automated device: selection of the type of sprayer, engine, chassis, controller, battery, as well as justification of the possibilities of using alternative energy sources (wind energy, solar energy); development of a 3D model of an automation device for anti-weed processing of agricultural crops, printing of parts, assembly of mechanical and electronic parts. Making a prototype using 3D printing; development of the wiring diagram of electronics, software (firmware of the microcontroller; application that controls the settings), testing of the prototype, assembly of the current model; rationale for the optimal use of Arduino and Raspberry Pi boards in this device in a pair: Raspberry Pi will allow you to control processes on the Arduino and easily interact with the Internet when the Arduino itself will perform simple operations such as interacting with electronics and reading sensor readings. The manufactured operating model showed compliance with the goals, a high degree of controllability, environmental friendliness, reduction of energy consumed, labor resources and can be used to scale this device. The developed model of the automation device for anti-weed treatment of agricultural crops can be used not only in agricultural pollination, but also as a mechanism for studying soil parameters: humidity, mineralogical composition and chemical content in the ground, using electronic sensors, as well as an automated mobile platform for any purpose requiring accurate navigation through the territory.

Main problem: the article is devoted to the issue of designing basic recipes for dairy products using mathematical modeling methods. The author analyzed the problems in the field of food technology and concluded that mathematical modeling is used in the following areas: clarification of technological process modes, designing recipes and assessing the quality of finished products, as well as predicting the shelf life of new products when they are put into production. The use of dihydroquercetin as a drug that prevents the oxidation of milk fat in the design of dairy products is substantiated. Mathematical modeling was carried out on the basis of experimental and analytical material obtained in laboratory and production conditions. Based on the maximum value of the objective functions, the optimal normalized mixtures and the maximum allowable concentration of dihydroquercetin were selected. The analysis of the received mathematical dependences and models is carried out, the system of linear equations is made. Purpose: to study the effect of natural bioflavonoid antioxidant on the oxidative processes of milk fat and the viability of lactic acid cultures and their associations by mathematical modeling in order to use it in the technology of a new product; conduct an analysis of mathematical dependencies and models, compose a system of linear equations. Methods: the article uses the method of mathematical analysis and the matrix method. Results and their significance: a mathematical model was developed for the dependence of the viability of probiotic cultures on the mass fraction of dihydroquercetin when designing recipes for a creamy-protein curd product, a matrix of the chemical composition of dairy ingredients was presented, and a system of linear equations for basic recipes was compiled. In the course of the study, the spatial configurations of dihydroquercetin, as well as its effect on the oxidative processes of milk fat, were studied. Mathematical modeling of experimental data on the study of the effect of dihydroquercetin on the viability of microorganisms with probiotic properties was carried out. The normalization of the complex of obtained results on the study of the influence of the mass fraction of dihydroquercetin on the fermentation process was studied. Controlled factors characterizing the process of fermentation of model media with dihydroquercetin have been determined. A rationing of the dihydroquercetin complex of more than 0.50% was established; the target function decreases to its minimum value of 0.53 with a mass fraction of dihydroquercetin of 1.00%.

The present stage of development of power systems is characterized by the need to increase their intelligence, that is, the formation of an environment capable of solving the problems of effective management of all components included in the power system. One of the features of modern energy systems is an active consumer, that is, a consumer who has the opportunity to optimize the schedule of loading their capacities, planning energy consumption, intellectualization of energy consumption. In addition to the fact that there are digital systems for collecting, processing and presenting information, as well as transmitting this information via the Internet, to solve the most difficult task of managing power systems, it is necessary to develop a large number of models adequate to real processes that can describe the processes taking place in the power system under consideration. The purpose is to develop models capable of adequately describing the interrelated processes occurring in the considered elements of the power system, as well as in the aggregate of related elements; development of methods that allow solving problems of effective control of elements of energy systems on the basis of the proposed intelligent models. To solve the problem of increasing the intelligence of the power system, nonlinear adaptive models of electrical complexes of an energy-intensive enterprise included in the power system were developed on the basis of balance equations and artificial intelligence methods. The production of alumina with the properties of inertia, nonlinearity and closure is chosen as the production under consideration. This type of production was chosen as the most difficult to predict due to the unpredictability of changes in energy consumption during the transition to other modes of its operation, associated, for example, with the receipt of raw materials with a different chemical composition for processing. Static and dynamic models of energy consumption of electrotechnical complexes with continuous inertial nonlinear closed production based on artificial intelligence methods have been developed, which makes it possible to eliminate the need to use long time series of retrospective data. For the considered type of continuous energy-intensive production, dynamic characteristics of energy consumption and technological processes are obtained from the main controlled parameters, which make it possible to predict emergency situations and partly man-made disasters. On the basis of a genetic algorithm, a multiparametric optimization problem of energy management of continuous production has been solved, taking into account technological parameters and cost factors.

The relevance of this article is that the impact of human economic activity on the natural environment is becoming comparable in scale to geological factors. In this regard, the importance of protecting the biosphere has increased immeasurably. The earth is the only common home of all earthlings. Society, including us, cannot help but worry that the planet has approached a critical ecological threshold. The main goal of the research that we set for ourselves in this article is to create a predictive model for overcoming the environmental crisis in the following areas: environmental education, greening technologies, administrative and legal direction, international cooperation. To achieve the result, we tried to process as much information as possible, analyze the situation, draw appropriate conclusions and propose our own model for overcoming the environmental crisis. The hypothesis is that environmental pollution, improper disposal of household and industrial waste, and poor environmental culture have a detrimental effect on the ecology of the city, poisoning the environment and public health. The main research methods used were methods of empirical knowledge - these are observations, survey methods, questionnaires, as well as theoretical methods. The results of these studies can be used to inform the population about the impact of waste on human health, as well as the importance of storing, recycling and obtaining secondary raw materials, in order to reduce the amount of garbage on city streets. And also about the existence of unauthorized waste collection sites and administrative responsibility for the creation of such landfills in the city and in the surrounding area, this is an educational activity in all areas of education, starting from preschool institutions, the media, advertising agencies, NGOs, environmental authorities and also, using international experience, in the construction of a solid waste processing plant in his hometown.

Main problem: Monitoring the reliability of the foundation of roads, buildings and engineering structures is an important aspect of geophysical research. Modeling of geological heterogeneities is relevant. Moreover, the use of computer modeling in this problem is associated with computational costs. Purpose: Analysis of the vertical electrical sounding (VES) method for modeling the physical properties of soil and their changes when exposed to elastic vibrations. Methods: To achieve the goal, the vertical electrical sounding (VES) method was used, using a one-dimensional model of the geological environment. The direct VES problem was solved by calculating the Hankel integral. Results and their significance: The study made it possible to model a large number of soil layers using the VES method. The results obtained make it possible to determine the parameters of detected objects and changes in the characteristics of the controlled environment when exposed to elastic vibrations. The significance of the results lies in the possibility of improving the method for modeling the physical properties of soil and taking into account their changes under the influence of elastic vibrations, which helps to increase the efficiency and accuracy of monitoring the reliability of the foundation.