بهینه‌سازی روابط تجربی و تحلیلی تراوایی نسبی در سیستم‌‌های نفت– آب

نوع مقاله: مقاله پژوهشی

نویسندگان

دانشکده مهندسی نفت، گاز و پتروشیمی، دانشگاه خلیج فارس، بوشهر، ایران

چکیده

در این تحقیق کلیه روابط تجربی و تحلیلی ارائه شده جهت تخمین مقادیر تراوایی نسبی در سیستم‌های دو فازی نفت -آب بررسی می‌شود. 11 رابطه‌ متداول و پرکاربرد در مدل‌سازی جریان‌های دو فازی نفت - آب در محیط متخلخل شامل روابط تجربی هنرپور و همکاران، ابراهیم و کودریتز و الفتاح و همچنین روابط دارای پارامترهای قابل تنظیم که شامل رابطه تعمیم یافته کوری، رابطه تعمیم یافته بروکس و کوری، سیگموند و مک کافری، چیرسای، ون جینوچتن- مولم، LET و لی و همکاران مورد استفاده قرار گرفته است. دقت روابط فوق با استفاده از 644 داده آزمایشگاهی مرتبط با سیستم‌های نفت – آب بررسی و ارزیابی شدند. در تعیین پارامترهای قابل تنظیم روابط، از روش بهینه‌سازی غیرخطی گرادیان کاهشی تعمیم یافته به‌صورت محلی و کلی بهره گرفته شده است. نتایج حاصل نشان می‌دهند که در مجموع دو رابطه سیگموند و مک کافری و LET به ترتیب دارای نزدیک‌ترین پیش‌بینی از مقادیر آزمایشگاهی تراوایی نسبی فاز نفت و آب می‌باشند. درخت تصمیم‌ برای بهترین رابطه جهت تخمین مقادیر تراوایی نسبی در دو نوع سنگ کربناته و ماسه سنگ و نیز برای سه حالت ترشوندگی‌ آب دوست، میانه و نفت دوست ارائه شده است. همچنین با توجه به ضعف روابط دارای پارامتر قابل تنظیم در وابسته بودن به داده‌های تجربی تراوایی نسبی در تعیین مقادیر پارامترهای آن‌ها، از طریق بهینه‌سازی کلی بر روی گستره وسیعی از داده‌های تجربی، بهترین مقادیر پارامترهای روابط دارای پارامتر قابل تنظیم تعیین و نتایج برای 4 رابطه دارای بالاترین دقت گزارش شده‌اند.
 

کلیدواژه‌ها


عنوان مقاله [English]

Optimization of Empirical and Analytical Relative Permeability Correlations in Oil – Water Systems

نویسندگان [English]

  • Zahra Sakhaei
  • Reza Azin
  • Shahriar Osfouri
Department of Petroleum Engineering, Faculty of Petroleum, Gas and Petrochemical Engineering, Persian Gulf University
چکیده [English]

In this study, the comprehensive review of empirical and analytical correlations, which are presented for estimation of the relative permeability of two-phase systems, is performed. 11 common and widely used correlations for modeling of two-phase flow of oil - water in porous media including the empirical correlations of Honarpour et al., Ibrahim & Koederitz and Al-Fattah and also those correlations which have adjustable parameters; such as, Corey generalized correlation, Brooks and Corey generalized correlation, Sigmund & McCaffery, Chierici, Van Genuchten-Maulem, LET, Ke and Li et al. were used. The accuracy of the above correlations was evaluated by using 644 experimental data points related to oil - water systems. Generalized Reduced Gradient nonlinear optimization method has been used locally and globally for determining the adjustable parameters of the parametric models.  According to the performed adjustment and optimization, Sigmund & McCaffery and LET correlations showed the best agreement with experimental data of oil and water relative permeability, respectively. The decision tree for the best correlation to estimate the relative permeability in carbonate and sandstone rocks as well as for three states of wettability water-wet, intermediate-wet and oil-wet was presented. Also, due to the weakness of the correlations with adjustable parameters to be dependent on experimental relative permeability data in determining the values of their parameters, the best values of the parameters of these correlations were determined using global optimization on a wide range of experimental data. The results were reported for 4 correlations with the highest accuracy.
 

کلیدواژه‌ها [English]

  • Relative Permeability
  • Empirical/Analytical Correlations
  • Oil – Water System
  • Nonlinear Optimizatio

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