This paper introduces the research advances on replacement of CH 4 in Natural Gas Hydrates (NGHs) by use of CO 2 and discusses the advantages and disadvantages of the method on the natural gas production from such hydrates. Firstly, the feasibility of replacement is proven from the points of view of kinetics and thermodynamics, and confirmed by experiments. Then, the latest progress in CH 4 replacement experiments with gaseous CO 2 , liquid CO 2 and CO 2 emulsion are presented Moreover, the superiority of CO 2 emulsion for replacement of CH 4 is emphasized. The latest experiment progress on preparation of CO 2 emulsions are introduced. Finally, the advancements in simulation research on replacement is introduced, and the deficiencies of the simulations are pointed. The factors influencing on the replacement with different forms of CO 2 are analyzed and the optimum conditions for the replacement of CH 4 in hydrated with different forms of CO 2 is suggested. Keywords: gas hydrate; replacement; carbon dioxide; feasibility; emulsion; simulation OPEN ACCESSEnergies 2012, 5 400 Nomenclature: t = time, s X CH 4 /X CO 2 = ratio of CH 4 and CO 2 in the vapor phase (X CH 4 /X CO 2 ) 0 = initial ratio of CH 4 and CO 2 in the vapor phase α = fitting parameter related to the a condensation rate of CH 4 molecules from the vapor phase n CH 4 .H = remaining amount of CH 4 in the hydrate phase, mol n CO 2 .H = amount of CO 2 in the hydrate phase, mol f = fugacity, MPa k Dec = overall rate constant of the decomposition, mol/s·m·MPa k Dec.R = reaction rate constant of decomposition, mol/s·m·MPa k Dec.D = decomposition rate constant of mass transfer in the hydrate phase, mol/s·m·MPa k Form = overall rate constant of the formation, mol/s·m·MPa k Form.R = reaction rate constant of formation, mol/s·m·MPa k Form.D = formation rate constant of mass transfer in the hydrate phase, mol/s·m·MPa A = surface area between the gas and the hydrate phase, m 2 H = hydrate phase G = gas phase
The development of high-order schemes has been mostly concentrated on the limiters and high-order reconstruction techniques. In this paper, the effect of the flux functions on the performance of high-order schemes will be studied. Based on the same WENO reconstruction, two schemes with different flux functions, i.e., the fifthorder WENO method and the WENO-Gas-kinetic scheme (WENO-GKS), will be compared. The fifth-order finite difference WENO-SW scheme is a characteristic variable reconstruction based method which uses the Steger-Warming flux splitting for inviscid terms, the sixth-order central difference for viscous terms, and three stages Runge-Kutta time stepping for the time integration. On the other hand, the finite volume WENO-GKS is a conservative variable reconstruction based method with the same WENO reconstruction. But, it evaluates a time dependent gas distribution function along a cell interface, and updates the flow variables inside each control volume by integrating the flux function along the boundary of the control volume in both space and time. In order to validate the robustness and accuracy of the schemes, both methods are tested under a wide range of flow conditions: vortex propagation, Mach 3 step problem, and the cavity flow at Reynolds number 3200. Our study shows that both WENO-SW and WENO-GKS yield quantitatively similar results and agree with each other very well provided a sufficient grid resolution is used. With the reduction of mesh points, the WENO-GKS behaves to have less numerical dissipation and present more accurate solutions than those from the WENO-SW in all test cases. For the Navier-Stokes equations, since the WENO-GKS couples inviscid and viscous terms in a single flux evaluation, and the WENO-SW uses an operator splitting technique, it appears that the WENO-SW is more sensitive to the WENO reconstruction and boundary treatment. In terms of efficiency, the finite volume WENO-GKS is about 4 times slower than the finite difference WENO-SW in two dimensional simulations. The current study clearly shows that besides high-order reconstruction, an accurate gas evolution model or flux function in a high-order scheme is also important in the capturing of * Corresponding author. Email addresses: luojun@ust.hk (J. Luo), maljxuan@ust.hk (L. Xuan), makxu@ust.hk (K. Xu) http://www.global-sci.com/ 599 c 2013 Global-Science Press 600 J. Luo, L. Xuan and K. Xu / Commun. Comput. Phys., 14 (2013), pp. 599-620physical solutions. In a physical flow, the transport, stress deformation, heat conduction, and viscous heating are all coupled in a single gas evolution process. Therefore, it is preferred to develop such a scheme with multi-dimensionality, and unified treatment of inviscid and dissipative terms. A high-order scheme does prefer a high-order gas evolution model. Even with the rapid advances of high-order reconstruction techniques, the first-order dynamics of the Riemann solution becomes the bottleneck for the further development of high-order schemes. In order to avoid the weakness of th...
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