scholarly journals Theoretical Analytical Solution of Deformation and Stress Distribution of Underground Gas Storage Cavern in Bedded Salt Rock

2018 ◽  
Vol 64 (4) ◽  
pp. 37-53
Author(s):  
P. Xie ◽  
H.J. Wen ◽  
G.J. Wang ◽  
J. Hu
Keyword(s):  
Numerical Simulation ◽  
General Solution ◽  
Gas Storage ◽  
Displacement Function ◽  
Inverse Laplace Transform ◽  
Salt Rock ◽  
Underground Gas Storage ◽  
Simulation Results ◽  
Stress And Deformation ◽  
The Stability

Abstract The main purpose of the study is to investigate the mechanical properties around an underground gas storage cavern in bedded salt rock. Firstly, considering the characteristics of the salt rock formation in China, the mechanical model was simplified into a hollow cylinder, which containing non-salt interlayer. In terms of elastic theory, Love displacement function was developed, and the elastic general solution of stress and deformation components were obtained after determining the undetermined coefficients. Under the same condition, numerical simulation was carried out. The validity of the elastic general solution is verified by comparing to numerical simulation results. Furthermore, Based on the feasible general elastic solution, viscoelastic solution was obtained through Laplace transformation and inverse Laplace transform, which could provide reference for the study on the stability and tightness of underground gas storage carven during operation to some extent.

scholarly journals Slit Wall Effect on the Stability of Wavy Vortex Flow

2014 ◽  
Vol 6 ◽  
pp. 853069 ◽  
Author(s):  
Dong Liu ◽  
Ying-ze Wang ◽  
Hyoung-Bum Kim ◽  
Fang-neng Zhu ◽  
Chun-lin Wang
Keyword(s):  
Numerical Simulation ◽  
Flow Field ◽  
Radial Velocity ◽  
Flow Regime ◽  
Experimental Measurement ◽  
Vortex Flow ◽  
Wall Effect ◽  
Taylor Vortices ◽  
Simulation Results ◽  
The Stability

The wavy vortex flow in the plain model was studied by experimental measurement; the preliminary feature of wavy vortex flow was obtained. This flow field in the plain model was also studied by numerical simulation. The reliability of numerical simulation was verified by comparing with the experimental and numerical simulation results. To study the slit wall effect on the wavy vortex flow regime, another two models with different slit number were considered; the slit number was 6 and 12. By comparing the wavy vortex flow field in different models, the axial fluctuation of Taylor vortices was found to be different, which was increased with the increasing of slit number. The maximum radial velocity from the inner cylinder to the outer one in the 6-slit number was increased by 12.7% compared to that of plain model. From the results of different circumferential position in the same slit model, it can be found that the maximum radial velocity in slit plane is significantly greater than that in other planes. The size of Taylor vortices in different models was also calculated, which was found to be increased in the 6-slit model but was not changed as the slit number increased further.

scholarly journals Hopf Bifurcation and Chaos of a Delayed Finance System

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-18 ◽  
Author(s):  
Xuebing Zhang ◽  
Honglan Zhu
Keyword(s):  
Numerical Simulation ◽  
Hopf Bifurcation ◽  
Center Manifold ◽  
Chaotic State ◽  
Bifurcation And Chaos ◽  
Finance System ◽  
Center Manifold Theorem ◽  
Normal Form Method ◽  
Simulation Results ◽  
The Stability

In this paper, a finance system with delay is considered. By analyzing the corresponding characteristic equations, the local stability of equilibrium is established. The existence of Hopf bifurcations at the equilibrium is also discussed. Furthermore, formulas for determining the direction of Hopf bifurcation and the stability of the bifurcating periodic solutions are derived by applying the normal form method and center manifold theorem. Finally, numerical simulation results are presented to validate the theoretical analysis. Numerical simulation results show that delay can lead a stable system into a chaotic state.

scholarly journals Experimental and simulated milling stability tests

Mechanik ◽  
2017 ◽  
Vol 90 (11) ◽  
pp. 965-967
Author(s):  
Piotr Andrzej Bąk ◽  
Krzysztof Jemielniak
Keyword(s):  
Numerical Simulation ◽  
Stability Analysis ◽  
Time Domain ◽  
Cutting Parameters ◽  
Milling Machine ◽  
Machined Surface ◽  
Simulation Results ◽  
The Stability ◽  
The Time Domain

Self-excited vibrations significantly reduce the milling productivity, deteriorate the quality of machined surface and tool life. One of the ways to avoid these vibrations is to modify the cutting parameters based on the stability analysis results. A method of numerical simulation of self-excited vibrations in the time domain can be used for this purpose. A comparison of numerical simulation results with those from experiments conducted using a milling machine is presented. The results confirm the correctness of applied modeling.

Numerical simulation of the rotating water jet flushing the insoluble particles in the salt cavern underground gas storage

2021 ◽  
Vol 33 ◽  
pp. 101869
Author(s):  
Xianzhi Song ◽  
Fuqiang Xu ◽  
Yu Shi ◽  
Yiqun Zhang ◽  
Zhong Pan ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Gas Storage ◽  
Water Jet ◽  
Underground Gas Storage ◽  
Salt Cavern ◽  
Insoluble Particles

Fuzzy Parameter Based Mathematical Model on Forest Biomass

2018 ◽  
Vol 13 (04) ◽  
pp. 179-193 ◽  
Author(s):  
Prabir Panja
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Time Delay ◽  
Human Population ◽  
Equilibrium Points ◽  
Forest Biomass ◽  
Simulation Results ◽  
The Stability ◽  
Fuzzy Parameter

In this paper, a fuzzy mathematical model has been developed by considering forest biomass, human population and technological effort for the conservation of forest biomass as separate compartments. We have assumed that the forest biomass and human population grows logistically. We have considered that forest biomass decreases due to industrialization, food, shelter, etc., for humans. For the conservation of forest biomass, some modern technological efforts have been used in this model. Also, time delay of use of modern technological effort for the conservation of forest biomass has been considered on forest biomass. According to the assumptions, a fuzzy mathematical model on forest biomass is formulated. Next we have determined different possible equilibrium points. Also, the stability of our proposed system around these equilibrium points has been discussed. Finally, some numerical simulation results have been presented for better understanding of our proposed mathematical model.

scholarly journals Highly Stable All-Fiber-Ring Short-Cavity Continuously Tuned Swept Source

Electronics ◽  
2020 ◽  
Vol 9 (2) ◽  
pp. 328
Author(s):  
Zhiwei Yang ◽  
Xu Wu ◽  
Deqin Ouyang ◽  
Huibin Sun ◽  
Shuangchen Ruan
Keyword(s):  
Numerical Simulation ◽  
Optical Coherence Tomography ◽  
Spectral Width ◽  
Output Spectrum ◽  
Fiber Ring ◽  
Swept Source ◽  
Central Wavelength ◽  
Simulation Results ◽  
Oct Imaging ◽  
The Stability

In this study, we present a swept source that can intelligently control its sweeping speed while satisfying the commercial stability and miniaturization standards. The source’s central wavelength of the output spectrum is 1300 nm and spectral width is greater than 100 nm. Meanwhile, the scan frequency can be adjusted to range from 20 to 100 kHz, and the stability degree of the optical capacity is less than 0.34%. Additionally, this study establishes a numerical model for the swept-source optical coherence tomography (SS–OCT) system and introduces a numerical simulation of the signal produced during the OCT imaging process. The simulation results are helpful to guide the design and construction of the future OCT systems.

Failure Probability of Salt Rock Underground Gas Storage Cavern Based on Random Field Model of Material Parameters

2010 ◽  
Vol 163-167 ◽  
pp. 3336-3342
Author(s):  
Jian Liu ◽  
Juan Song ◽  
Qiang Yong Zhang
Keyword(s):  
Random Field ◽  
Failure Probability ◽  
Field Model ◽  
Gas Storage ◽  
Middle Part ◽  
Salt Rock ◽  
Underground Gas Storage ◽  
Random Field Model ◽  
Material Parameters ◽  
Rock Cavern

For the safety of salt rock underground gas storage cavern, uncertainties of material parameters and their influence to structure must be considered. In this paper, random field method is used for failure probability analysis of gas storage cavern. Random field model of material parameters is introduced firstly, local average method is used in discretization of random field, then Monte-Carlo stochastic finite element method is used in failure probability calculation. Conclusions can be drawn as follow: Failure probability in middle part of the cavern is higher than that of upside and underside, and failure probability decreases when operation pressure increasing. Middle part of cavern in release process is the most dangerous. Failure probability of cavern computed by random field model and random variable model based on response surface method are campared. It is obviously that failure prabability computed by random field is lower than that of by RSM. As variation coefficient and fluctuation range increasing, failure probability of salt rock cavern will increase.

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