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  • Hindawi Limited  (3)
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  • Hindawi Limited  (3)
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  • 1
    Online-Ressource
    Online-Ressource
    Hindawi Limited ; 2023
    In:  International Journal of Energy Research Vol. 2023 ( 2023-2-8), p. 1-22
    In: International Journal of Energy Research, Hindawi Limited, Vol. 2023 ( 2023-2-8), p. 1-22
    Kurzfassung: Bottom hole flowing pressure (BHFP) is the key factor to determine a reasonable working system and achieve long-term stable production of coalbed methane (CBM) wells. However, there is no special BHFP model for double-layer combined production (DLCP). Generally, the constant mass model (CMM) for single-layer production is applied to treat the double reservoirs as a whole, ignoring the changes of fluid mass in each section and the acceleration pressure drop in the reservoir section. The calculation results have great errors, and the BHFP of the lower reservoir is used to adjust the production system of the two reservoirs, which does not meet the requirements of the upper reservoir. In this paper, the expression of acceleration pressure drop assumed to be zero in CMM is decomposed and derived, the relationship between acceleration pressure drop and unit length radial flow is established, and then the pressure drop formula of reservoir section with radial inflow is obtained. The reservoir is divided into several sublayers, and the pressure drop equation for each sublayer is established. According to the water flow and gas flow in the reservoir and nonreservoir sections, the corresponding velocity equations of water phase and gas phase are derived. The above equations are combined to establish the variable mass model (VMM) for DLCP with three stages. The field data are substituted into the VMM and the CMM, and the accuracy of the new model is verified. The results show that in the stages of double-layer water production and double-layer gas production, the errors of the two models are less than 5%, while in the stage of gas-water coproduction, the error of the VMM is 2.75%-6.58%, and the error of the CMM is 7.15%-15.18%. The VMM is more accurate. In addition, in the stages of water production and gas-water coproduction during DLCP, the BHFP of the two reservoirs differs greatly, with a maximum difference of 49.1%. Therefore, the two reservoirs need to adjust the production rule according to their respective BHFP. To sum up, the VMM can accurately give the BHFP of each reservoir, which is more realistic. It also solves the problem that one BHFP cannot accurately adjust the production rule of the two reservoirs, so as to provide technical support for the formulation of optimal production rule and the realization of high production.
    Materialart: Online-Ressource
    ISSN: 1099-114X , 0363-907X
    Sprache: Englisch
    Verlag: Hindawi Limited
    Publikationsdatum: 2023
    ZDB Id: 1480879-1
    Standort Signatur Einschränkungen Verfügbarkeit
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  • 2
    Online-Ressource
    Online-Ressource
    Hindawi Limited ; 2018
    In:  Advances in Mathematical Physics Vol. 2018 ( 2018-08-01), p. 1-8
    In: Advances in Mathematical Physics, Hindawi Limited, Vol. 2018 ( 2018-08-01), p. 1-8
    Kurzfassung: This paper studies the convergence of Riemann solutions to the inhomogeneous modified Chaplygin gas equations as the pressure vanishes. The delta shock waves and vacuum states occur as the pressure vanishes. The Riemann solutions of inhomogeneous modified Chaplygin gas equations are no longer self-similar. It is obviously different from the Riemann solutions of homogeneous modified Chaplygin gas equations. When the pressure vanishes, the Riemann solutions of the modified Chaplygin gas equations with a coulomb-like friction term converge to the Riemann solutions of the pressureless Euler system with a source term.
    Materialart: Online-Ressource
    ISSN: 1687-9120 , 1687-9139
    Sprache: Englisch
    Verlag: Hindawi Limited
    Publikationsdatum: 2018
    ZDB Id: 2494134-7
    Standort Signatur Einschränkungen Verfügbarkeit
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  • 3
    Online-Ressource
    Online-Ressource
    Hindawi Limited ; 2014
    In:  The Scientific World Journal Vol. 2014 ( 2014), p. 1-11
    In: The Scientific World Journal, Hindawi Limited, Vol. 2014 ( 2014), p. 1-11
    Kurzfassung: The limit of Riemann solutions to the nonsymmetric system of Keyfitz-Kranzer type with a scaled pressure is considered for both polytropic gas and generalized Chaplygin gas. In the former case, the delta shock wave can be obtained as the limit of shock wave and contact discontinuity when u - 〉 u + and the parameter ϵ tends to zero. The point is, the delta shock wave is not the one of transport equations, which is obviously different from cases of some other systems such as Euler equations or relativistic Euler equations. For the generalized Chaplygin gas, unlike the polytropic or isothermal gas, there exists a certain critical value ϵ 2 depending only on the Riemann initial data, such that when ϵ drops to ϵ 2 , the delta shock wave appears as u - 〉 u + , which is actually a delta solution of the same system in one critical case. Then as ϵ becomes smaller and goes to zero at last, the delta shock wave solution is the exact one of transport equations. Furthermore, the vacuum states and contact discontinuities can be obtained as the limit of Riemann solutions when u - 〈 u + and u - = u + , respectively.
    Materialart: Online-Ressource
    ISSN: 2356-6140 , 1537-744X
    Sprache: Englisch
    Verlag: Hindawi Limited
    Publikationsdatum: 2014
    ZDB Id: 2075968-X
    Standort Signatur Einschränkungen Verfügbarkeit
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