Scientific Journal of KubSAU

The main characteristics of a transport network are the intensity of the traffic flow, speed and density of its traffic. Comfortable driver's traffic density is determined by the rule of the traffic police, which is "clearance between cars on the road should be a tenth of the speed of movement." We have built a reference curve of the density function of the flow of vehicles on its speed, which is basic when simulating a traffic flow. The article describes a model of electrical city transport networks, allowing calculating traffic flows, their speed, the density and the number of traffic lanes by means of laws of electrical engineering. We have also compared electrical concepts (current, resistance, electro-motive force, etc.) and transportation (of intensity-flow lane road, transport driving force, etc.). For the transport network there are methods of calculation of electrical circuits - a method of Kirchhoff's laws, loop currents, etc. We have confirmed the correctness of electric models and the possibility of its use for the calculation of transport networks; as well as we have presented an example of the calculation

Тhe physical processes, arising on a face at interaction of a chisel with rocks are considered. The mathemati-cal description of model of mechanical speed of drill-ing in a function from speed of rotation, twisting mo-ment, diameter of a chisel and properties of destroyed rocks is executed

The main causes of congestion in the city are single-level intersections regulated by traffic-lights and an insufficient number of lanes. The article provides an analysis of two problematic intersections and suggestions for their discharge. For trilateral junction of Yaltinskaya - Uralskaya with an electric model it was determined that the number of lanes needed for different areas increased to 4 - 8. However, the causes of the conflict - the intersection of two competing streams – the turn from the bridge to Yaltinskaya street to Uralskaya and oncoming traffic from Yaltinskaya to Severnaya. Traffic light regulation does not solve the problem and helps creating congestion. It is proposed to separate traffic flows on different levels with the help of the overpass on Yaltinskaya, and the stream from Yaltinskaya to Severnaya goes on the overpass, and turning stream to Uralskaya - under the overpass. Traffic flows at the intersection on Severnaya and Turgeneva with traffic light regulation device can be diluted with a circular or a turbo intersection

Physical processes, arising up at removing of rock from the backwall of mining hole, are considered. The curve of sedimentation, allowing to determine the rate of climb of transporting of rock at cleaning of back-wall with newtonian liquids – air and water, is shown. The formula is shown out for the calculation of ex-pense of borax solution, necessary for the high-quality cleaning of backwall of mining hole at washing water or air

The aim of the article is to study the effect of velocity and acceleration of a drill string on hydrodynamic pressure in a well. We obtain the formulas of pressure versus time. We also established the method for optimizing hydrodynamic pressure in a well at round-trip operations

Known mathematical models of mechanical speed of a driving are functions of two key parameters of management – axial load of a chisel and speeds of rotation of a chisel. The third parameter – a consumption of boring solution on which cleaning of a well of destroyed breed depends exists only in the A.A. Pogarsky model in an obvious or implicit way. The drilling management of the process of conducting of the well is carried out by regulation only of one parameter – loads of a chisel, thus other parameters are supported by constants according to the project on drilling. However, practice of drilling testifies that function of speed of drilling has extremum and for the speed of rotation of a chisel, and for a solution consumption. In work the regression analysis of experimental data of drilling for receiving mathematical model of mechanical speed of a driving is made as functions of three parameters of management, thus are received the models of speed of drilling depending separately on each of parameters at maintenance of two others constants. Schedules of the approaching functions with points of data of drilling from official reports of drilling foremen are constructed. The technique of adaptive optimum control of process by means of the received model of three variables is described: according to the current data of drilling through the set time interval by means of a method of the smallest squares drilling model coefficients constantly are recalculated - thereby the model is constantly arranged under conditions on a well face. Optimum parameters of management of drilling are determined by the adapted model, they are established on the drilling rig and the face drilling in the optimum mode is made. At breed change coefficients of model are again arranged under bottomhole conditions, optimum parameters of management for this breed, etc. are defined. As the model constantly adapts to a face, as a model it is possible to take a standard polynomial of the second degree and to recalculate its coefficients. It will also allow defining new types of models for management of drilling process

The analysis of models is carried out from a definition position for system of optimum control of drilling of basic mathematical model on which calculation of optimum regime parameters is possible. The main equation for management of process of drilling of wells is the mathematical model of mechanical speed of a driving as function from axial load of a chisel, the speed of rotation of a chisel and a consumption of boring solution for cleaning of a well of destroyed breed. Key parameter is axial load of a chisel; graphically dependence of speed of drilling on loading has S appearance - a figurative curve of Bingham which has a convex mathematical extremum. In the article, domestic and foreign models of drilling are considered; their schedules according to skilled data of conducting of wells are constructed. Models are sedate, i.e. reflect only a linear site of a curve of Bingham, data of trade drilling is well approximated with initial and linear sites of curves. Thus, on them it is possible to make only rational management of process, and the optimum mode exists only on border of range of definition of function. Only the A.A. Pogarsky model is suitable for optimum control, having a mathematical maximum and S-shaped form of a curve. All models depend on two parameters of management – load of a chisel and speeds of rotation of a chisel and don't consider the third on influence on drilling speed parameter - a consumption of boring solution. Therefore, Pogarsky's model was finished by inclusion in it in an explicit form of a consumption of boring solution. Check of model by means of the regression analysis of skilled data of drilling from official reports of drilling foremen showed its reliability for 71-99%. The model allows carrying out optimum control of drilling in the "axial load of a chisel" parameter