CAJ | 학술논문

在两酸三矿物模型及精细化模型基础上建立了符合地层尺度的砂岩基质酸化径向非均质流动反应数学模型。为了研究伤害带孔、渗分布差异对酸化模拟效果的影响，将伤害带渗透率合理地假设为指数型分布。通过将伤害带孔、渗分布常规模型与指数模型分别引入径向非均质流动反应模型中，重点讨论了不同伤害带假设对酸化模拟效果的影响。模拟发现，前者酸化后地层孔隙度沿径向呈递减规律；而后者酸化后地层孔隙度沿径向呈递增规律，径向上孔隙度起伏更为平缓，说明伤害带内渗流条件得到了均匀改善，其结果更符合真实情况。在相同注入条件下，指数模型较常规模型计算的酸化效果更显著，同时大排量有利于增加酸液深穿透距离，但与小排量相比，其酸化后的油井增产倍比相当。
재량산삼광물모형급정세화모형기출상건립료부합지층척도적사암기질산화경향비균질류동반응수학모형。위료연구상해대공、삼분포차이대산화모의효과적영향，장상해대삼투솔합리지가설위지수형분포。통과장상해대공、삼분포상규모형여지수모형분별인입경향비균질류동반응모형중，중점토론료불동상해대가설대산화모의효과적영향。모의발현，전자산화후지층공극도연경향정체감규률；이후자산화후지층공극도연경향정체증규률，경향상공극도기복경위평완，설명상해대내삼류조건득도료균균개선，기결과경부합진실정황。재상동주입조건하，지수모형교상규모형계산적산화효과경현저，동시대배량유리우증가산액심천투거리，단여소배량상비，기산화후적유정증산배비상당。
A mathematical model of sandstone matrix acidizing radial heterogeneous lfow reaction which conforms to reservoir scale, is developed based on Heterogeneous Sandstone Reservoir Generalized Distribution Model and Fine Scale Sandstone Acidizing Model. In order to study the effect of pore and permeability distribution differences of damage zone on acidiifcation simulation, the permeability of damage zone was assumed as exponential distribution. By introducing the model of pore and permeability distribution differences of damage zone and exponential model into radial heterogeneous lfow mathematical model respectively, we focused on the inlfuence of different damage zone assumption on acidizing simulation effect. Simulation results show that in the former case the formation porosity along the radial direction is diminishing after acidizing, while in latter case the formation porosity along the radial direction is still increasing after acidizing and porosity undulates more gently along radial direction, indicating that seepage conditions is improved evenly in the damage zone and the result conforms to the real situation. Under the same condition of injection, acidiifcation effect of exponential model calculation is more signiifcant. Compared with the small injection rate, the large one is helpful to increase acid penetration distance, but both of the stimulation ratios are almost same.