tailieunhanh - Reservoir Formation Damage Episode 3 Part 7

Tham khảo tài liệu 'reservoir formation damage episode 3 part 7', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 632 Reservoir Formation Damage Models Separating the Internal and External Filtration Processes For convenience in the modeling Pang and Sharma 1994 divide the entire filtration process into two phases 1 the initial internal cake filtration and 2 the later external cake filtration. They separate these two filtration phases by a transition time after which the particle migration into porous formation becomes negligible and an external filter cake begins forming over the injection well formation face. Sharma and Pang 1997 assumed that transition from the internal to the external cake filtration occurs when the porosity Ị of the formation face decreases to a minimum critical value Ộ by particle deposition below which particle invasion into porous media is not possible. Their models apply for single phase water flow in the near wellbore region. Hence the effect of the oil-water two-phase flow during the initial water injection period is neglected because this initial period is relatively short. Transition Time Wennberg and Sharma 1997 estimate the transition time based on the expressions given by Iwasaki 1937 for particle deposition rate and the filtration coefficient respectively as d dt Xuc 19-14 and À 1 bơ 19-15 where b is an empirical constant and Xo is the filtration coefficient without particle deposition. Although more sophisticated expressions are available in the literature See Chapter 8 they used Eq. 19-15 for simplicity. Thus invoking Eq. 19-15 into Eq. 19-14 yields the following expression similar to the rate equation for particle deposition in pluggable pathways given by Gruesbeck and Collins 1982 da dt X0 l b j uc 19-16 They obtain the analytic solution of Eq. 19-16 for constant flow rate and suspension particle concentration for two cases as the following Ơ Xouct b Q 19-17 Injectivity of the Waterflooding Wells 633 ơ l Z Ịexp À ohucí -1 b 0 19-18 At the transition time the porosity attains the minimum critical porosity Ộ and the maximum critical .

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