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作 者:孔祥伟[1,2] 林元华[2] 邱伊婕[2] 董龙[1]
机构地区:[1]大庆师范学院化学化工学院,大庆163000 [2]西南石油大学油气藏地质及开发工程国家重点实验室,成都610500
出 处:《计算力学学报》2014年第5期622-627,共6页Chinese Journal of Computational Mechanics
基 金:国家自然科学基金(51074135;51274170);四川省科技创新团队(2011JTD0034)资助项目
摘 要:基于两流体模型、酸性气体和钻井液状态方程,考虑酸性气体与钻井液相间虚拟质量力、粘性剪切力、相间动量交换及狭义相间阻力等条件,建立酸性气体与钻井液两相中压力波传播速度的数学模型,依据小扰动原理,对波速模型求解,得到关于波数K的波速方程。结果表明,在一定范围内,随空隙率、频率的增大,虚拟质量力对波速的影响显著增强;在高空隙率下,压强增大,虚拟质量力对波速的影响减弱;增大流体的密度或不可压缩性,均可使两相压力波速增大;延长气液交换时间或减小波动频率使相间有足够时间进行动量交换,两相压力波波速随之减小。With consideration of interphase virtual mass force, viscous shearing force, narrow interphase momentum exchange,interphae resistance,a mathematical model for predicting the propagation velocity of pressure wave in two-phase flow of acid gas and drilling fluid was proposed based on the two-fluid model and equation of state for acid gas and drilling fluid. The p mathematical model was solved by using the small perturbation theory,and a model concerning wave number K was derived to calculate the wave velocity. Calculation results indicate that the influence of virtual mass force becomes more prominent with the increase of angular frequency and void fraction within a certain range. At high void fraction,the influence of virtual mass force appears a weakening trend with the increase of pressure. Both the increase of density and incompressibility of two-phase fluid contribute to the increase of pressure wave velocity. It is the prolongation of gas-liquid exchange time and decrease of fluctuation frequency that supply suffi- cient time for momentum exchange,and slow down the pressure wave velocity accordingly_
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