Comparison study on the accuracy and efficiency of the four forms of hydraulic equation of a natural gas pipeline based on linearized solution

Wang, Peng; Yu, Bo; Deng, Yajun; Zhao, Yu

doi:10.1016/j.jngse.2014.11.032

Cited by 28 publications

(22 citation statements)

References 14 publications

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“…The continuity and momentum equations are so-called flow equations, and the energy equation is a so-called thermodynamic equation. These equations can be written in a general form [24][25][26]31], as shown in Equation 1, and 50the parameters of the general form are given in Table 1. The detailed process of transformations and the parameter expressions of Equation (1) can be found in Appendix A:…”

Section: Pipeline Modelmentioning

confidence: 99%

“…In each multi-component interconnection node, the laws of mass conservation, the equality of pressure, and the equality of gas temperature must be observed [12,20,26,28,31]. The corresponding mathematical models are represented by Equations (9) to (10).…”

Section: Multi-component Interconnection Node Modelmentioning

confidence: 99%

“…This strategy could further increase the computational speed by about 20%. Wang et al [26] found that the form of flow equations, which took the density and velocity as the solving variables, was the most efficient form. The computational speed was further improved by 50%.…”

Section: Introductionmentioning

confidence: 99%

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An Efficiently Decoupled Implicit Method for Complex Natural Gas Pipeline Network Simulation

Wang

et al. 2019

Energies

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The simulation of a natural gas pipeline network allows us to predict the behavior of a gas network system under different conditions. Such predictions can be effectively used to guide decisions regarding the design and operation of the real system. The simulation is generally associated with a high computational cost since the pipeline network is becoming more and more complex, as well as large-scale. In our previous study, the Decoupled Implicit Method for Efficient Network Simulation (DIMENS) method was proposed based on the ‘Divide-and-Conquer Approach’ ideal, and its computational speed was obviously high. However, only continuity/momentum Equations of the simple pipeline network composed of pipelines were studied in our previous work. In this paper, the DIMENS method is extended to the continuity/momentum and energy Equations coupled with the complex pipeline network, which includes pipelines and non-pipeline components. The extended DIMENS method can be used to solve more complex engineering problems than before. To extend the DIMENS method, two key issues are addressed in this paper. One is that the non-pipeline components are appropriately solved as the multi-component interconnection nodes; the other is that the procedures of solving the energy Equation are designed based on the gas flow direction in the pipeline. To validate the accuracy and efficiency of the present method, an example of a complex pipeline network is provided. From the result, it can be concluded that the accuracy of the proposed method is equivalent to that of the Stoner Pipeline Simulator (SPS), which includes commercially available simulation core codes, while the efficiency of the present method is over two times higher than that of the SPS.

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Section: Pipeline Modelmentioning

confidence: 99%

Section: Multi-component Interconnection Node Modelmentioning

confidence: 99%

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An Efficiently Decoupled Implicit Method for Complex Natural Gas Pipeline Network Simulation

Wang

et al. 2019

Energies

Self Cite

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“…Off-line simulation is typically applied for the analysis, decision support and optimization of pipeline networks (Fasihizadeh et al, 2014;Zhang et al, 2016b). Many efforts have been made for the improvement of the numerical models (Wang et al, 2015;Pambour et al, 2016a) and model solvers Behbahani-Nejad and Bagheri, 2010). Some unconventional off-line simulation methods have also been developed (Madoliat et al, 2016;Uilhoorn, 2017).…”

Section: Introductionmentioning

confidence: 99%

A systematic hybrid method for real-time prediction of system conditions in natural gas pipeline networks

Zio

Zhang

et al. 2018

Journal of Natural Gas Science and Engineering

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et al.. A systematic hybrid method for real-time prediction of system conditions in natural gas pipeline networks. A B S T R A C TThe current framework of management of natural gas pipeline systems, based on off-line simulation, is facing challenges because of the increasing complexity, uncertainty and a number of time-dependent factors. To be effective, it requires comprehensive knowledge of system characteristics, accurate initial and boundary conditions. In an attempt to circumvent these problems, in this work we propose to use the deep learning method in the natural gas transmission system operation and management context. A data-driven prediction method is developed from real-time data of operation pressure and gas consumption. Specifically, the deep learning method is combined with the data window method and structural controllability theory to predict the conditions of gas pipeline network components. The data window method is applied to reconstruct the data structure and build a "memory" for the deep learning method. Structural controllability theory is applied to extract critical parameters, for reducing the problem size. The developed method allows accurate and efficient predictions, especially in abnormal conditions. For demonstration, the method is applied to a complex gas pipeline network. The results show that the developed method can provide accurate real-time predictions useful for reducing potential losses in operation, and perform efficient and effective management of the gas pipeline system. In the case study, the average prediction accuracy is higher than 0.99.

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“…Wang et al [13] derived implicit curve-fitting equations to increase the speed of calculation of natural gas properties in the supercritical pressure region. In summary, there is an abundance of knowledge and experience regarding the transportation of natural gas through pipelines [14][15][16][17]. However, it is difficult to analyze the phase transition in the transport of CO 2 , which is the objective of this study, because of the single saturation line.…”

Section: Introductionmentioning

confidence: 99%

Instability Analysis of Supercritical CO2 during Transportation and Injection in Carbon Capture and Storage Systems

Min

Kang²,

Huh

2018

Energies

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Captured CO2 is in a subcritical state, whereas CO2 deep underground is in a supercritical state because of the high geothermal heat and pressure. The properties of CO2 can change rapidly at the critical point and in the near-critical region during the transportation and injection process. This study aims to identify the instabilities in the CO2 flow in these regions, along with the causes and effects, during the transportation and injection process, and propose relevant design specifications. Thus, the critical points and near-critical region of CO2 flow were numerically analyzed. The unstable region is presented in terms of temperature and pressure ranges, and the changes in the CO2 properties in this region were analyzed. In the unstable region, the sudden change in density was similar to the density wave oscillation of a two-phase flow. The CO2 stability map we obtained and the stability map of supercritical water show similar trends. Flow instability was also found to occur in standard CO2 transportation pipelines. We demonstrate that flow instability in CO2 transportation and injection systems can be avoided by maintaining the proposed conditions.

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Comparison study on the accuracy and efficiency of the four forms of hydraulic equation of a natural gas pipeline based on linearized solution

Cited by 28 publications

References 14 publications

An Efficiently Decoupled Implicit Method for Complex Natural Gas Pipeline Network Simulation

An Efficiently Decoupled Implicit Method for Complex Natural Gas Pipeline Network Simulation

A systematic hybrid method for real-time prediction of system conditions in natural gas pipeline networks

Instability Analysis of Supercritical CO2 during Transportation and Injection in Carbon Capture and Storage Systems

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