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多相混合滲流理論研究

Study on the theory of multiphase mixed seepage in porous media

  • 摘要: 針對現有多相滲流理論假設各相均為連續相、無相間交換,不能表征相對滲透率端點附近出現非連續相,未能考慮多相混合、界面作用、相間傳質傳輸等多相摻混復雜流動的問題,本文把多相滲流流體作為一個總體即混合流體,研究多相流體在多孔介質中傳輸,包含不相溶、相界面變化、相間傳質傳輸、混合相,搞清各相間交換關系和流動機制,即多相混合流動規律。首先基于平衡熱力學第一、第二定律,考慮滲流過程中的多相體系平衡條件,推導出了滲流過程中多相體系平衡熱力學關系式,之后運用多相流體全質量守恒定律和滲流過程中多相體系平衡熱力學公式,建立了多相流體混合滲流理論模型,分析了多相混合滲流理論與傳統多相滲流理論的關系,提出了多相混合滲流的理論。指出多相體系流體總的滲流速度不僅與壓力梯度成正比,還與多相體系混合滲流程度有密切關系,其中混合滲流程度是飽和度、界面張力、壓力梯度和孔隙度的函數。研究結果表明,多相混合滲流理論深刻地反映了多相流體混合滲流的本質,揭示了多相流體混合滲流的內在作用變化規律,彌補了多相滲流理論用單相達西定律推廣到了多相滲流中的不足,多相混合滲流理論涵蓋了傳統多相滲流理論,具有重大的理論意義和應用價值。

     

    Abstract: The existing theory of multiphase seepage can neither explain the cause of the discontinuous phase near the end of relative permeability nor consider the complex flow of multiphase mixing, interface interaction, and mass transfer between phases. In this paper, all phases in pores were treated as a mixed fluid of one phase to investigate multiphase seepage characteristics. Multiphase fluid transport in porous media was studied, including phase dissolution, phase interface change, phase mass transfer, and mixed phases. The exchange relation and flow mechanism of multiphase fluid in porous media, i.e., the law of multiphase mixed flow, are clarified. On the basis of the first and second laws of thermodynamics, the framework of the thermodynamic equilibrium relations of a multiphase system was constructed considering phase equilibria during the seepage process. Consequently, a theoretical model of multiphase mixed seepage was established by combining the multiphase mass conservation and multiphase equilibrium thermodynamics equations in the seepage period, which leads to the proposed mixed seepage theory that this paper focuses on. Then, the similarities and differences between conventional multiphase seepage theory and mixed seepage theory were discussed and described comparatively. The analysis and results indicate that the overall velocity of a multiphase system is positively correlated with the pressure gradient, as well as an outcome of the seepage mixing degree defined as a function of saturation, interfacial tension, pressure gradient, and porosity. Additionally, the seepage mixing degree is the product of the mixed seepage coefficient, which reflects the interaction between phases, and the mobility. Defining the seepage mixing degree can convert the motion equation of mixed seepage into a form similar to the generalized Darcy's law, reflecting the fundamental distinction between these two theories. A multiphase system is considered to comprise continuous phases in conventional multiphase seepage theory. However, the fluid phase can be discontinuous and dispersed in other phases. Furthermore, the quantitative relation between total pressure and phase pressure cannot be directly determined, so the capillary force is ignored in many cases. The treatment of these problems is where the limitation of conventional multiphase seepage theory and the comparative superiority of mixed seepage theory lie. Subsequently, a classic case of oil–water two-phase seepage was examined to validate the practicability and adaptability of mixed seepage theory. It can be derived that the multiphase permeability item related to saturation is a simplified form of the seepage mixing degree. The results illustrate that mixed seepage theory reflects the intrinsic features of multiphase seepage and reveals the inner rules of the phase mixing flow process. This theoretical work remedies the conventional approach of extending single-phase Darcy's law to multiphase cases and addresses the deficiency in the generalized Darcy's law by introducing the overall effect to accurately explain the migration of coupling phases, which is of substantial theoretical significance and practical implications.

     

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