نوع مقاله : مقاله پژوهشی
نویسندگان
1 دانشگاه شیراز
2 دانشگاه امیرکبیر
3 دانشگاه شریف
چکیده
رفتار جابجایی نفت و میزان به دام افتادن آن در ناحیه اطراف چاه توسط سیال پیش شوی فرآیند اسیدکاری حایز اهمیت است. در این مطالعه، رفتار ویسکوز و موئینگی جریان دو فازی در مقیاس منفذی با استفاده از روش دینامیک سیالات محاسباتی مورد تجزیه و تحلیل قرار گرفته است. در این کار یک مدل دو بعدی، بر اساس معادلات میدان فازی کان هیلیارد و ناویر استوکس، ایجاد و با استفاده از روش اجزای محدود حل شد. با توجه به اهمیت نیروهای حاکم در این جابجایی، نمودار فازی براساس عدد موئینگی و نسبت ویسکوزیته تهیه و سپس با کارهای تجربی گزارش شده قبلی مقایسه گردید. پس از شناسایی حداکثر و حداقل دامنه عدد موئینگی (Nc) و نسبت ویسکوزیته (M)، پایدارترین منطقه جابجایی در Log M ≈ 0.5 و Log Nc ≈ -2 قرار گرفت. علاوه بر این، تاثیر چهار متغیر مستقل شامل حجم تزریق (5>1>PV)، عدد موئینگی (0>Log Nc<-6)، نسبت ویسکوزیته (20.95) در Log M> 0 و 1 π/6 و
(2->Log Nc<-4.5) اتفاق می افتد. شایان ذکر است که برای Log M<0، شرایط بهینه در Log M ≈ 0، Log Nc ≈ -3.5، PV ≈ 4 و θ ≈ π/6 رخ می دهد.
کلیدواژه‌ها
عنوان مقاله [English]
Using Computational Fluid Dynamics for Determining the Optimum Pre-flush Fluid Injection Condition During Matrix Acidizing
نویسندگان [English]
- Meisam Mohammadzadeh Shirazi 1
- Ehsan Sabooniha 2
- Alireza Kazemi 2
- Shahab Ayatollahi 3
چکیده [English]
Optimum oil displacement is the most important goal of pre-flush stage during matrix acidizing. In this study, the visco-capillary behavior of the two-phase flow in the pore-scale is analyzed using computational fluid dynamics. A two-dimensional model, based on Cahn–Hilliard phase-field and Navier–Stokes equations, was established and solved using the finite element method. To recognize the effective forces of two-phase flow displacement, a stability phase diagram based on the Logarithm of capillary number (Nc) versus the Logarithm of viscosity ratio (M) was constructed and then compared with the reported experimental data. After identifying both viscous fingering and capillary fingering regions, the most stable displacement region was found to be located at Log M ≈ 0.5 and Log Nc ≈ -2. Furthermore, the impact of four independent variables that critically affect the efficiency of the pre-flush stage, including pore volume of injection (1<PV<5), capillary number (-60.95) occurred at Log M > 0, -4.5 1, and θ> π/6 conditions. It is worth mentioning that for Log M< 0, the optimum condition occurred at Log M ≈ 0, Log Nc ≈ -3.5, PV ≈ 4 and θ ≈ π/6.
کلیدواژه‌ها [English]
- Acidizing
- Pre-flush fluid
- Computational fluid dynamic
- Sensitivity analysis
- Capillary number
- Kumar, R. P., He, J., and Nasr-El-Din, H., “Effect of Oil Saturation on Acid Propagation During Matrix Acidization of Carbonate Rocks”, SPE Latin America and Caribbean Petroleum Engineering Conference. Society of Petroleum Engineers, 2014.
- AlMubarak, T., AlKhaldi, M., AlMubarak, M., Rafie, M., Al-Ibrahim, H., and AlBokhari, N., “Investigation of Acid-Induced Emulsion and Asphaltene Precipitation in Low Permeability Carbonate Reservoirs”, SPE Saudi Arabia Section Annual Technical Symposium and Exhibition, Society of Petroleum Engineers, 2015.
- Suzuki, F., “Precipitation of Asphaltic Sludge During Acid Stimulation Treatment: Cause, Effect, and Prevention”, SPE Western Regional Meeting, Society of Petroleum Engineers,
- Karimi, M., Shirazi, M. M., and Ayatollahi, S., “Investigating the Effects of Rock and Fluid Properties in Iranian Carbonate Matrix Acidizing During Pre-Flush Stage”, Journal of Petroleum Science and Engineering, 166, pp. 121-130, 2018.
- Shirazi, M. M., Ayatollahi, S, and Ghotbi, C., “Damage Evaluation of Acid-Oil Emulsion and Asphaltic Sludge Formation Caused by Acidizing of Asphaltenic Oil Reservoir”, Journal of Petroleum Science and Engineering, 174, pp. 880-890, 2019.
- Lenormand, R., Touboul, E., and Zarcone, C., “Numerical Models and Experiments on Immiscible Displacements in Porous Media”, Journal of Fluid Mechanics, 189, pp. 165-187, 1988.
- Zhang, C., Oostromm, M. W., Wietsma, T. W., Grate, J. G., and Warner, M., “Influence of Viscous and Capillary Forces on Immiscible Fluid Displacement: Pore-Scale Experimental Study in a Water-Wet Micromodel Demonstrating Viscous and Capillary Fingering”, Energy & Fuels, 25, No. 8, pp. 3493-3505, 2011.
- Karadimitriou, N., and Hassanizadeh, S., “A review of Micromodels and Their Use in Two-Phase Flow Studies”, Vadose Zone Journal, 11, No. 3, 2012.
- Amiri, H. A., and Hamouda, A., “Evaluation of Level Set and Phase Field Methods in Modeling Two Phase Flow with Viscosity Contrast Through Dual-Permeability Porous Medium”, International Journal of Multiphase Flow, Vol. 52, 22-34, 2013.
- Amiri, H. A., and Hamouda, A., “Pore-Scale Modeling of Non-Isothermal Two Phase Flow in 2D Porous Media: Influences of Viscosity, Capillarity, Wettability and Heterogeneity”, International Journal of Multiphase Flow, 61, pp. 14-27, 2014.
- Riazi, M., Jamiolahmady, M., and Sohrabi, M., “Theoretical investigation of Pore-Scale Mechanisms of Carbonated Water Injection”, Journal of Petroleum Science and Engineering, 75, No. 3, pp. 312-326, 2011.
- Rokhforouz, M., and Akhlaghi Amiri, H. A., “Phase-Field Simulation of Counter-Current Spontaneous Imbibition in A Fractured Heterogeneous Porous Medium”, Physics of Fluids, 2, No. 6, pp. 062104, 2017.
- Sabooniha, E., Rokhforouz, M. R., and Ayatollahi, S., “Pore-scale Investigation of Selective Plugging Mechanism in Immiscible Two-Phase Flow Using Phase-Field Method”, Oil & Gas Science and Technology–Revue d’IFP Energies nouvelles, 74, pp. 78, 2019.
- Sabooniha, E., Rokhforouz, M. R., Kazemi, A., and Ayatollahi, S., “Numerical analysis of Two-Phase Flow in Heterogeneous Porous Media During Pre-Flush Stage of Matrix Acidizing: Optimization by Response Surface Methodology”, Physics of Fluids, 33, No. 5, pp. 053605, 2021.
- Zeng, Z., and Grigg, R., “A criterion for Non-Darcy Flow in Porous Media”, Transport in Porous Media, 63, No. 1, pp. 57-69, 2006.
- Ergun, S., and Orning, A. A., “Fluid Flow Through Randomly Packed Columns and Fluidized Beds”, Industrial & Engineering Chemistry, 51, No. 6, pp.1184-1179, 1949.
- Mai, A., and Kantzas, A., “Heavy Oil Waterflooding: Effects of Flow Rate and Oil Viscosity”, Journal of Canadian Petroleum Technology, 48, No. 03, pp. 42-51, 2009.
- Moore, T., and Slobod, R., “The Effect of Viscosity and Capillarity on the Displacement of Oil by Water”, Producers Monthly, 20, No. 10, pp. 20-30, 1956.
- Rezaveisi, M., Ayatollahi, S., and Rostami, B., “Experimental Investigation of Matrix Wettability Effects on Water Imbibition in Fractured Artificial Porous Media”, Journal of Petroleum Science and Engineering, 86, pp. 165-171, 2012.
- Guo, H., Dou, M., Hanqing, W., Wang, F., Yuanyuan, G., Yu, Z., Yansheng, W., and Li, W., “Proper Use of Capillary Number in Chemical Flooding”, Journal of Chemistry, 2017.
- Rokhforouz, M., and Amiri, H. A., “Effects of Grain Size and Shape Distribution on Pore-Scale Numerical Simulation of Two-Phase Flow in A Heterogeneous Porous Medium”, Advances in Water Resources, 124, pp. 84-95, 2019.
- Zheng, X., Mahabadi, N., Yun, T. S., and Jang, J., “Effect of Capillary and Viscous Force on CO2 Saturation and Invasion Pattern in the Microfluidic Chip”, Journal of Geophysical Research: Solid Earth, Vol. 122, No.3, pp. 1634-1647, 2017.
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