Porous flow mathematical model of multiphase complex flow with phase change and wax deposition
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摘要: 含蠟凝析氣藏開采過程中伴有凝析液、蠟析出呈氣-液-固變相態多相復雜流動.在滲流機理的實驗研究基礎上,對氣-液-固復雜滲流的數學模型進行描述,以期揭示伴有蠟沉積的凝析氣-液-固變相態復雜滲流規律.根據相的變化受析蠟線、露點線的相態變化規律控制,分析相變特性會導致儲層內油氣飽和度的變化,揭示蠟沉積在多孔介質表面引起孔隙性質改變和氣、液、固在儲集層中的微觀空間分布會影響凝析氣的流動特征.在蠟沉積變相態滲流實驗和滲流數學模型的研究基礎上,引入蠟沉積數學模型、考慮毛管力和表面張力的相對滲透率模型等,建立了相應的多孔介質中氣-液-固變相態多相流-固耦合滲流數學模型.數值模擬結果表明,蠟沉積可使部分區域孔隙減少,流動阻力增大.不考慮蠟沉積會對產量預測明顯偏大,蠟沉積可使產量下降.該模型較好地反映了凝析氣-液-固變相態復雜滲流的物理實質.Abstract: Gas-liquid-solid complex flow was complicated in the production of a condensate gas reservoir with wax deposition. Under experiment research results on the porous flow mechanism, the porous flow model was described to reveal the complex flow law. According to the phase change law for wax deposition and dew point line curves, and the change of the saturation of condensate gas with phase properties, gas-liquid-solid was transformed with phase change, which would result in the change of distribution of fluid pressure and influence or alter the characteristic and the process of condensate gas percolation flow. Under experimental results of wax deposition and phase change, the mechanical characteristics of fluids flowing through porous media and the relevant physicochemical problem were all summed up as solving the gas-liquid-solid coupling mathematical model. After considering the phase change action between condensate gas and condensate liquid, wax deposition interlarded with interracial drag force and capillary pressure engendered in the process of phase change. Numerical simulation results proved that the flow resistance increased and the production output decreased owing to wax deposition. The model could reveal the physical essence of porous flow.
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Key words:
- wax deposition /
- gas-liquid-solid /
- phase change /
- complex flow /
- mathematic model /
- production output equation
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