Analysis of wave processes in an underground gas pipeline (mathematical model and field experiment)

2021 ◽  
pp. 105571
Author(s):  
I. Glot ◽  
I. Shardakov ◽  
A. Shestakov ◽  
R. Tsvetkov
Keyword(s):  
Mathematical Model ◽  
Field Experiment ◽  
Gas Pipeline ◽  
Wave Processes

A Meshless Method for Solving the Mathematical Model Associated the Leakage Problem in Gas Pipeline

2014 ◽  
Vol 986-987 ◽  
pp. 1418-1421
Author(s):  
Jun Shan Li
Keyword(s):  
Differential Equation ◽  
Mathematical Model ◽  
Partial Differential Equation ◽  
Inverse Problem ◽  
Basis Function ◽  
Meshless Method ◽  
Numerical Solutions ◽  
Basis Functions ◽  
Gas Pipeline ◽  
The Mathematical Model

In this paper, we propose a meshless method for solving the mathematical model concerning the leakage problem when the pressure is tested in the gas pipeline. The method of radial basis function (RBF) can be used for solving partial differential equation by writing the solution in the form of linear combination of radius basis functions, that is, when integrating the definite conditions, one can find the combination coefficients and then the numerical solution. The leak problem is a kind of inverse problem that is focused by many engineers or mathematical researchers. The strength of the leak can find easily by the additional conditions and the numerical solutions.

Mathematical Model of Energy Storage in Gas Hydrate and its Flow in Pipeline Systems

2016 ◽  
Author(s):  
Oluwatoyin Akinsete ◽  
Sunday Isehunwa
Keyword(s):  
Mathematical Model ◽  
Natural Gas ◽  
Gas Hydrate ◽  
Storage Capacity ◽  
Hydrate Formation ◽  
Momentum Conservation ◽  
Gas Pipeline ◽  
Energy Needs ◽  
Pipeline Systems ◽  
And Storage

ABSTRACT Natural gas, one of the major sources of energy for the 21st century, provides more than one-fifth of the worldwide energy needs. Storing this energy in gas hydrate form presents an alternative to its storage and smart solution to its flow with the rest of the fluid without creating a difficulty in gas pipeline systems due to pressure build-up. This study was design to achieve this situation in a controlled manner using a simple mathematical model, by applying mass and momentum conservation principles in canonical form to non-isothermal multiphase flow, for predicting the onset conditions of hydrate formation and storage capacity growth of the gas hydrate in pipeline systems. Results from this developed model shows that the increase in hydrate growth, the more the hydrate storage capacity of gas within and along the gas pipeline. The developed model is therefore recommended for management of hydrate formation for natural gas storage and transportation in gas pipeline systems.

Study on Duration of Hydrostatic Leak Test for Gas Pipeline

2008 ◽  
Author(s):  
Feng Yan ◽  
Yongxue Zhang ◽  
Hong Zhang ◽  
Qingquan Duan
Keyword(s):  
Mathematical Model ◽  
Temperature Variation ◽  
Water Pressure ◽  
Gas Pipeline ◽  
Hot Water ◽  
Leak Test ◽  
First Time ◽  
Water Pressure Testing ◽  
Residual Air ◽  
Test Result

A mathematical model about the duration of hydrostatic leak test for gas pipeline is developed for the first time in the paper. The influences of temperature variation, elastic deformation of the pipe and a certain amount of residual air filled within the pipe are synthetically considered in the model. The results indicate that the duration is longer while the amount of the residual air in the pipe or the volume of pipe is lager under the same pressure dropping. The required duration is increasing with the pressure going up. At the same time, the temperature variation greatly influences the pressure dropping of the pipeline. The conclusions are helpful for determining the reasonable duration of hydrostatic leak test for gas pipeline. Furthermore, it can also provide some references for judging leak test result while hot water pressure testing in winter.

scholarly journals Mode diagnostics of pipeline systems of the energetics

2020 ◽  
Vol 216 ◽  
pp. 01001
Author(s):  
Mikhail Sukharev
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Flow Regime ◽  
Measurement Errors ◽  
Random Variables ◽  
Gas Pipeline ◽  
Pipeline System ◽  
Gas Pumping ◽  
Gas Pumping Unit ◽  
Standard Software

The paper proposes a method for diagnosing gradual failures in pipeline power systems, based on tracking the dynamics of flow regime parameters. The method also makes it possible to promptly adjust the coefficients of a mathematical model of the system objects. Conclusions are made based on the analysis of the entire set of measurements, which are considered random variables due to measurement errors. Conclusions are made based on the analysis of the entire set of measurements, which are considered random variables due to instrumental errors. Examples of a gas pumping unit and a complex looped gas pipeline system are given. Calculations are performed using standard software.

scholarly journals Economic and mathematical model of selecting a gas supply system based on biomethane and natural gas

Vestnik MGSU ◽  
2021 ◽  
pp. 1388-1396
Author(s):  
Denis Yu. Suslov
Keyword(s):  
Mathematical Model ◽  
Natural Gas ◽  
Alternative Energy ◽  
Critical Length ◽  
Supply System ◽  
Gas Pipeline ◽  
Rational Use ◽  
Reduced Costs ◽  
Supply Systems ◽  
Gas Supply

Introduction. A promising direction in the development of gas supply systems, which is widely used in the developed countries of the world, is the use of an alternative energy source — biomethane. The effective use of biomethane requires the development of scientific provisions and recommendations for the use of biomethane gas supply systems, taking into account technical and economic factors. Therefore, it is urgent to develop an economic and mathematical model for choosing a gasification method and determining the area of rational use of gas supply systems with biomethane. Materials and methods. To develop an economic and mathematical model for choosing a method for gasification of settlements, methods of mathematical modeling and parametric optimization were used. The implementation of the economic and mathematical model was carried out in the Mathcad software package. Mathematical and graphic processing of the results obtained was carried out. Results. An economic and mathematical model was developed for determining the rational area of application of biome­thane for gas supply to settlements. The model is based on the technical and economic calculation of the reduced costs for gas supply systems with network natural gas and biomethane. Using the developed model, the technical parameters of the biomethane gas supply system were determined: the critical length of the gas pipeline branch, the radius of the biomethane plant, the biomethane consumption, the length of the gas pipeline for the biomethane supply, and the reduced costs to the gas supply system. A graph of the dependence of the critical length of the gas pipeline branch on the population size has been obtained, which makes it possible to determine the area of rational use of biomethane for gas supply to settlements. It was found that for a rural settlement with a population of 5,000 people, the critical length of the gas pipeline branch is 24.820–28.044 km, for an urban-type settlement with a population of 15,000 people, the length of the gas pipeline branch is 50.923–64.677 km, and for a city with a population of 30,000 people — 89.617–127.279 km. Conclusions. The results obtained can be used for the development and design of gas supply systems based on biomethane for the gasification of settlements remote from the main gas pipelines. The use of biomethane makes it possible to gasify settlements in developed agricultural regions and to increase the efficiency of the gas transportation system of the Russian Federation.

scholarly journals Problem of conjugate heat transfer between main gas pipeline and frozen ground

2019 ◽  
Vol 102 ◽  
pp. 01001
Author(s):  
Edward Bondarev ◽  
Igor Rozhin ◽  
Kira Argunova
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Gas Flow ◽  
Hydrate Formation ◽  
Conjugate Problem ◽  
Gas Pipeline ◽  
Frozen Ground ◽  
Flow Area ◽  
Tube Cross Section ◽  
Main Gas Pipeline

Mathematical model of non-isothermal gas flow within the framework of tube hydraulics including change of tube cross-section due to hydrate formation and the dependence of coefficient of heat transfer between gas and hydrate layer on varying flow area is proposed. The corresponding conjugate problem of heat exchange between imperfect gas in the pipeline and the environment is reduced to the solution of differential equations describing non-isothermal flow of gas in pipes and heat transfer equations in ground with the corresponding conjugation conditions. In the quasi-stationary mathematical model of hydrate formation (dissociation), the dependence of gas-hydrate transition temperature on gas pressure is taken into account. Some decisions taken in the design of the first section of the main gas pipeline «Power of Siberia» have been analyzed. It has been shown that if gas is not sufficiently dried, outlet pressure may drop below the technological limit in about 6-7 hours. At the same time, for completely dry gas ,it is possible to reduce the cost of thermal insulation of the pipeline at least two fold.

scholarly journals Mathematical Model for Time of Leak Estimation in Natural Gas Pipeline

2019 ◽  
Vol 3 (2) ◽  
pp. 68
Author(s):  
Obibuike Ubanozie Julian ◽  
Ekwueme Stanley Toochukwu ◽  
Ohia Nnaemeka Princewill ◽  
Igbojionu Anthony Chemazu ◽  
Igwilo Kevin Chinwuba ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Natural Gas ◽  
Gas Pipeline ◽  
Natural Gas Pipeline
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