Mathematical Modeling to Predict the Rate of Penetration (ROP) Using Genetic Programming

Document Type : Original Article


1 M.Sc. Student, Department of Petroleum and Chemical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

2 Department of Petroleum and Chemical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran


Rate of penetration (ROP) model is a mathematical relation between bit penetration rate and properties of formation, drilling fluid and drilling operation conditions. Due to relatively high cost of drilling operations, it is essential to develop an accurate prediction of the ROP to estimate the drilling time and costs. In this paper, a new model has been developed for estimation of ROP in one of Iranian oil fields by implementation genetic programming. In the developed model, ROP has been correlated with 11 effective parameters reported in drilling master log and sonic log including weight on bit, bit rotational speed, total nozzle area size, mud weight, mud yield point, fluid loss and sonic time. For the evaluation of the proposed model, statistical parameters including root-mean-square deviation (RMSD), squared correlation coefficient (R2) and average absolute relative deviation (AARD) were calculated. Real data verification indicated that the developed model is accurate for estimating ROP and can provide useful information when drilling operation is running. The values of squared correlation coefficient and root-mean-square deviation show the reliability of the model.


Main Subjects

Article Title [Persian]

مدل‌سازی ریاضی جهت پیش بینی نرخ نفوذ مته با روش برنامه‌ریزی ژنتیک

Authors [Persian]

  • سیدعلی سیدالنگی 1
  • محمدجواد نبوی‌ زاده 2
  • مستانه حاجی پور 2

1 کارشناس ارشد مهندسی حفاری، گروه مهندسی نفت، دانشکده نفت و مهندسی شیمی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران

2 استادیار گروه مهندسی نفت، دانشکده نفت و مهندسی شیمی، واحد علوم و تحقیقات، دانشگاه آزاد اسلامی، تهران، ایران

Abstract [Persian]

مدل نرخ نفوذ مته، یک رابطه ریاضی بین سرعت نفوذ مته و ویژگی های سازند، سیال حفاری و شرایط عملیات حفاری است. به‌دلیل هزینه بالای عملیات حفاری، پیش‌بینی دقیق نرخ نفوذ مته جهت تخمین زمان و هزینه‌های حفاری ضروری است. در این مقاله، یک مدل
جدید جهت پیش‌بینی نرخ نفوذ مته در یکی از میادین نفتی ایران با روش برنامه ریزی ژنتیک ارائه شده است. در مدل ارائه شده، نرخ نفوذمته تابعی از 11 پارامتر موثر گزارش شده در مستر لاگ حفاری و لاگ صوتی شامل وزن روی مته، سرعت چرخش مته، مساحت کل نازل‌ها، وزن گل، نقطه واروی گل، هرزروی سیال و زمان عبور صوت بدست آمد. برای ارزیابی مدل پیشنهادی، پارامترهای آماری شامل جذر میانگین مربعات خطا (RMSD)، مجذور ضریب همبستگی (R2) و میانگین مطلق خطای نسبی (AARD )محاسبه شدند. اعتبار سنجی مدل با استفاده از داده‌های واقعی میدان نشان داد که مدل ارائه شده جهت پیش‌بینی نرخ نفوذ مته دقیق بوده و می‌تواند اطلاعات مفیدی حین عملیات حفاری در دسترس قرار دهد. مقادیر بدست آمده برای مجذور ضریب همبستگی و جذر میانگین مربعات خطا نشان دهنده قابل اطمینان بودن مدل هستند.

Keywords [Persian]

  • نرخ نفوذ مته
  • برنامه ریزی ژنتیک
  • مستر لاگ
  • لاگ صوتی
  • عملیات حفاری
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