Tag Archives: математическая модель
Currently, search and study of new environmentally friendly polymeric components of drilling fluids is important. On the basis of preliminary experimental studies have shown that drilling fluids with the addition of filler into the polymeric reagent as stiromalya have high rheological properties as well as low toxicity. Stiromal is a substance used in paint production, formed by radical copolymerization of styrene with maleic anhydride in dried benzene, is a white, crystalline powder with a density of 1.2 g/cm3 aim of this work was the formation of a mathematical model describing the effect of doses of applying clay stiromalya givpana and received on a specific viscosity of drilling fluids. Preparation of the mathematical model by the method of mathematical planning of the experiment. In accordance with a full factorial experiment (PPE) – 24 prepared 16 samples in which exhausted all possible combinations of the studied factors on two levels. The drilling fluid was prepared by pre-mixing the mud spolimerami. The resulting solutions were stirred for 30 minutes. Performance characteristics evaluated by the change in specific viscosity. The resulting regression equation adequately describes the experiment. Thus, confirmed the possibility of using mathematical models to predict the specific viscosity of drilling fluids based on polymer reagent – stiromalya when the ratio of incoming components in the following ranges: dose ratio stiromalya to givpanu from 0.1 to 1.0, the temperature at which research on 20 to 95 °C; and a clay content between 2 and 8% by weight.
MATHEMATICAL OPTIMIZATION MODEL OF GAS FILTERS’ GEOMETRIC PARAMETERS LOCATED IN HEATED ACCOMODATIONS
In acting normative document there absent the recommendations for optimization of gas filters’ geometric parameters located in the heated accommodations, that vastly reduces cost-performance to their usages.
In the analysis result it has been stated, that height of filter body – diameter ratio essentially influence on operation economy and integral costs of gas filter, located in the heated accommodations together with other gas equipment.
When increasing filter body height- diameter ratio, the diameter, metal capacitance, investments to gas filter are decreasing but at the same time investments in accommodations and running expenses for its heating are increasing.
There was offered the mathematical model for defining the optimal height-filter body diameter ratio that includes the estimated schemes, objective function of integral costs, investment and running expenses equations, range of restriction of control parameters. The designed mathematical model allows to take mutual influence geometric parameter filter to his diameter, volume and heat protective characteristics of the accommodation where it is installed, consumption of thermal energy necessary for heating accommodation.
The results of calculations, fulfilled according to the offered mathematical model applicable to the gas filter 0.004 m3 by volume with feed socket and downstream fairing 57mm diameter, show, that optimal height-body diameter ratio of a filter, arranged in a heated technological accommodation with other gas equipment is (H/D)opt =4.5, and minimal integral expenses form Зmin =13200 rubles.
Comparison of the optimal configuration of the offered filter (H/D)opt= 4.5 with mean quantity for existing constructions (H/D)= 2.1 shows substantial difference 2.15 times that is explained by ignoring cost indicators of supporting and heat-protecting constructions of the accommodation, where it is arranged, and also consumption of thermal energy for needs of heating, specific weight of flanged joint value. Using the offered mathematical model for defining optimal height – filters’ body diameter ratio, arranged in a heating accommodation, allows to increase essentially their operation economy.
In our country active search and development of new methods and means of reduction of losses of oil and oil products from evaporation are conducted. Use of coverings – one of the most effective ways of reduction of losses from evaporation of oil and oil products from steel vertical tanks. The new design of a covering with dampers increasing stability, for RVS tanks is investigated. For increase in stability according to useful model the covering is supposed to be supplied with the device for ensuring the stability, located on the bottom. Damper for ensuring stability is located on the bottom on covering perimeter, executed from metal. The mathematical model, allowed to receive the optimum sizes of dampers for coverings of steel vertical cylindrical tanks is developed. By means of the ANSYS program series of calculations for optimization of a design of a covering with damper were carried out. In the software Turbo Pascal the program for calculation of the restoring moment and for selection of the optimum sizes of damper was developed. Dependence of the restoring moment on length, width and height of fastening of damper was derived. At research of advanced type of damper, dependence of height of damper on tension arising in a design was derived, length and fastening width thus remain sizes constant. Also dependence of width of damper on tension arising in a design was derived, length and fastening height thus remain sizes constant. Calculations showed that the covering with damper can hold heeling moments for 100% of bigger size, than without use of damper.
Line calculation of mathematical models RVSP-5000 integrated system of strength analysis and design of structures SCAD Office
On the basis of seizing cases, sinking of aluminum coverings of steel vertical tanks, in order to study the causes and improving the design of floating covering, a mathematical model for hydrogasodynamic calculations in the software package FlowVision is elaborated. The model allows reproducing the processes occurring during the reservoir operation and its impact on the aluminum covering. Counter roll, sinking, to remain in equilibrium state under the action of external forces, the important components of the aluminum pontoon. The analysis of influence of storage product, operation conditions on aluminum pontoon is carried out while hydro gas dynamic calculations are being performed, extreme positions are being modeled, that allows working on the task of improving the level of protection of a considered floating object from tipping over and sinking . In order to study the internal forces, the nature of the deformation of the aluminum pontoon from loading of petroleum products in the case of jamming, it is necessary to make linear analysis of the tank with a pontoon, with the use of an integrated system of structural analysis and design of structures Structure CAD Office, which will analyze the stress-strain state of the construction of pontoon. In order to study the stress-strain state of floating covering construction in operation, the task is set to simulate a RVSP – a vertical cylindrical steel tank with floating covering, in order to calculate covering strength. The article presents a detailed, step by step simulation, in order to enable the reader to learn the basics of modeling in the strength calculation with various loads and structures. Strength analysis of aluminum floating covering together with the data of hydrogasodynamic calculations provide a comprehensive study of the processes occurring during the operation of the floating covering. On the basis of the strength analysis the peculiarities and short comings of the floating covering construction operation are revealed, accordingly the task is set to elaborate a construction of covering frame with improved strength characteristics.
Specialized enterprises for many years accumulated a vast database with the results of a survey of insulation coating. In this study, we used data of OOO NSAIDs “Electrochemical” on 69 test pits obtained on various pipelines European and West Siberian territories of Russia (Surgut-Polotsk-Igolsko Talovoye-Parabel, Tyumen Yurgamysh, Kirishi-Primorsk, Kiengop-H. Chelny, Sutorma-Holmogory, Ust-Balik-Kurgan, Nizhnevartovsk-Kuibyshev Coogan, Tuimazy-Omsk-Novosibirsk, H Chelny-Almetyevsk, Tihoretsk-Novorossiysk, Ust-Balik-Kurgan-Almetevsk, Kuibyshev-Tihoretsk, Kirishi-Primorsk). Working papers are fixed “age” of the pipeline diameter, depth of occurrence and type of insulation, insulation thickness, insulation thickness, the thickness of the pipe wall, the area of the defect, the resistance of the soil, the total potential, the polarization potential, the testimony of the dial or digital device installation USP-1M A mathematical model for the assessment of the insulation of underground pipelines, which allows to determine the area of damage. Indicated the significant factors affecting the condition of the insulating coating of underground pipelines. Audited the significance of this mathematical model.