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第9期 朱维耀等：蜡沉积凝析气液固变相态复杂渗流数学模型 .879 多相复杂渗流数学模型，对蜡沉积引起渗流特性的 Monticello:Mercel Dekker Ine.199] 改变和复杂渗流特征进行了描述，从而准确描述凝 [3]朱维耀，刘学伟，罗凯，等.具有蜡沉积的凝析气藏气液固微尺 度变相渗流动力学模型研究.天然气地球科学，2005,16(3)： 析气藏气一液固的复杂渗流特性和过程， 363 (2)对蜡沉积的凝析气液固变相态复杂渗流理 [4]刘敏.含蜡原油石蜡沉积模拟方法研究.石油学报，2003,24 论进行了研究，系统地建立了气液固变相态多相流 (2):105 固耦合渗流数学模型.该模型充分反映了伴有凝 [5]陈德春，刘均荣，吴晓东，等.含蜡原油井筒结蜡剖面的预测模 析液、蜡析出的气液固变相态多相复杂流动，为今后 型.石油大学学报，1999,23(4)：36 含蜡凝析气藏开采动态预测和数值模拟研究及现场 [6]李闽，王道成，姜逸伟，等.预测凝析油气体系蜡沉积热力学模 型.天然气工业，2004,27(4)：62 应用提供了理论基础. [7]梅海燕，张茂林，孙良田，等。压力对油气体系石蜡沉积温度的 (③)蜡沉积可使部分区域孔隙减少，流动阻力 影响.西南石油学院学报，2001,23(6)：9 增大；不考虑蜡沉积会使产量预测明显偏大；蜡沉积 [8]朱维耀.凝析气液两相渗流机理研究.石油勘探与开发，1988， 可使产量下降；对含蜡凝析气田蜡沉积的有效控制 15(3):63 是十分重要的， [9]朱维耀.伴有相变的气液两相渗流理论研究.石油学报，1990， 9(1):15 (4)数值实验和示例研究结果表明，该模型较 [10]苏畅，郭平，李士伦，等.凝析油气微观流动及相渗规律研究 好地反映了渗流物理实质，模拟结果与实验和现场 天然气工业，2002,22(4)：61 试验结果比较吻合， [11]胡永乐，罗凯，郑希潭，等，高含蜡凝析气相态特征研究.石 油学报.2003.24(3)61 参考文献 [12]张茂林，梅海燕，孙良田，等.毛细管压力对凝析气体系相平 [1]Bentsen R G.Effect of momentum transfer between fluid phases 衡的影响.石油勘探与开发，2001,24(4)：28 on effective mobility.J Pet Sci Eng.1998.21(1/2):27 [13]顾丽莉，石炎福，余华瑞.气一液一固三相并流体系的混沌识 [2]Morrow N R.Interfacial phenomena in petroleum recovery. 别.四川大学学报，2000,32(2)：44 Porous flow mathematical model of multiphase complex flow with phase change and wax deposition ZHU Weiyao),JU Yan2,YAN Liangdong),WANG Ming,HU Yongle),LUO Kai) 1)Civil and Environmental Engineering School,University of Science and Technology Beijing.100083,China 2)Langfang Normal University.Langfang 065007.China 3)Research Institute of Petroleum Exploration and Development,Beijing 100083,China ABSTRACI 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 trans- formed with phase change,which would result in the change of distribution of fluid pressure and influence or al- ter the characteristic and the process of condensate gas percolation flow.Under experimental results of wax de- position and phase change,the mechanical characteristics of fluids flow ing 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 interfacial drag force and capillary pressure engendered in the process of phase change.Numerical simula- tion results proved that the flow resistance increased and the production output decreased owing to wax deposi- tion.The model could reveal the physical essence of porous flow. KEY WORDS wax deposition;gasliquid-solid;phase change;complex flow mathematic model;production out put equation多相复杂渗流数学模型．对蜡沉积引起渗流特性的 改变和复杂渗流特征进行了描述从而准确描述凝 析气藏气－液－固的复杂渗流特性和过程． （2） 对蜡沉积的凝析气液固变相态复杂渗流理 论进行了研究系统地建立了气液固变相态多相流 －固耦合渗流数学模型．该模型充分反映了伴有凝 析液、蜡析出的气液固变相态多相复杂流动为今后 含蜡凝析气藏开采动态预测和数值模拟研究及现场 应用提供了理论基础． （3） 蜡沉积可使部分区域孔隙减少流动阻力 增大；不考虑蜡沉积会使产量预测明显偏大；蜡沉积 可使产量下降；对含蜡凝析气田蜡沉积的有效控制 是十分重要的． （4） 数值实验和示例研究结果表明该模型较 好地反映了渗流物理实质模拟结果与实验和现场 试验结果比较吻合． 参 考 文 献 ［1］ Bentsen R G．Effect of momentum transfer between fluid phases on effective mobility．J Pet Sci Eng199821（1／2）：27 ［2］ Morrow N R．Interfacial phenomena in petroleum recovery． Monticello：Mercel Dekker Inc1991 ［3］ 朱维耀刘学伟罗凯等．具有蜡沉积的凝析气藏气液固微尺 度变相渗流动力学模型研究．天然气地球科学200516（3）： 363 ［4］ 刘敏．含蜡原油石蜡沉积模拟方法研究．石油学报200324 （2）：105 ［5］ 陈德春刘均荣吴晓东等．含蜡原油井筒结蜡剖面的预测模 型．石油大学学报199923（4）：36 ［6］ 李闽王道成姜逸伟等．预测凝析油气体系蜡沉积热力学模 型．天然气工业200427（4）：62 ［7］ 梅海燕张茂林孙良田等．压力对油气体系石蜡沉积温度的 影响．西南石油学院学报200123（6）：9 ［8］ 朱维耀．凝析气液两相渗流机理研究．石油勘探与开发1988 15（3）：63 ［9］ 朱维耀．伴有相变的气液两相渗流理论研究．石油学报1990 9（1）：15 ［10］ 苏畅郭平李士伦等．凝析油气微观流动及相渗规律研究． 天然气工业200222（4）：61 ［11］ 胡永乐罗凯郑希潭等．高含蜡凝析气相态特征研究．石 油学报200324（3）61 ［12］ 张茂林梅海燕孙良田等．毛细管压力对凝析气体系相平 衡的影响．石油勘探与开发200124（4）：28 ［13］ 顾丽莉石炎福余华瑞．气－液－固三相并流体系的混沌识 别．四川大学学报200032（2）：44 Porous flow mathematical model of multiphase complex flow with phase change and wax deposition ZHU Weiyao 1）JU Y an 2）Y A N L iangdong 1）WA NG Ming 1）HU Yongle 3）LUO Kai 3） 1） Civil and Environmental Engineering SchoolUniversity of Science and Technology Beijing100083China 2） Langfang Normal UniversityLangfang065007China 3） Research Institute of Petroleum Exploration and DevelopmentBeijing100083China 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 mechanismthe porous flow model was described to reveal the complex flow law．According to the phase change law for wax deposition and dew point line curvesand the change of the saturation of condensate gas with phase propertiesgas-liquid-solid was transformed with phase changewhich 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 changethe 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 liquidwax deposition interlarded with interfacial 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． KEY WORDS wax deposition；gas-liquid-solid；phase change；complex flow；mathematic model；production output equation 第9期 朱维耀等： 蜡沉积凝析气－液－固变相态复杂渗流数学模型 ·879·