نشریه ژئومکانیک و ژئوانرژی

نشریه ژئومکانیک و ژئوانرژی

Estimation of Pore Pressure and Minimum Horizontal Stress Using Newton Classical Optimization Procedure based on Well Log Data

نوع مقاله : مقاله پژوهشی

نویسندگان
دانشگاه صنعتی شاهرود
چکیده
فشار منفذی یکی از مهمترین پارامترهای حفاری چاه، پایداری چاه، تکمیل، بهینه سازی و بهبود تولید مخزن است. بهینه سازی یکی از شاخه های ریاضیات کاربردی است که در زمینه های مختلف تصمیم گیری مانند مهندسی، ریاضیات و علوم کامپیوتر کاربرد دارد. روش کلاسیک یکی از شاخه های بهینه سازی است که می توان از آن برای تصمیم گیری در مسائل مختلف استفاده کرد. آگاهی دقیق از فشار منفذی و تنش افقی حداقل برای مراحل حفاری، پایداری و تکمیل چاه ضروری است. برآورد پارامترهای مذکور عموماً با استفاده از روابط تجربی و تحلیلی به دست می آیند. پاسخ این روابط زمانی مناسب است که مقدار ضرایب ثابت تعیین شده برای هر رابطه صحیح باشد. محاسبه ضرایب معمولاً به صورت تجربی و حتی دستی انجام می شود. اکنون محاسبه دقیق و خودکار پارامترها می تواند گامی پیش رونده برای استفاده از این روابط در صنعت باشد. بنابراین هدف این پژوهش در سه بخش ارائه شده است. ابتدا فشار منفذی بر اساس رابطه ایتون تخمین زده می شود. برای تخمین دقیق فشار منفذی، ثابت های معادله ایتون به طور خودکار کالیبره شده و از طریق روش بهینه سازی کلاسیک نیوتن مبتنی بر گرادیان محاسبه می شود. دوم اینکه تنش افقی حداقل با استفاده از معادله بلانتون به دست می آید. برای برآورد صحیح تنش افقی حداقل، پارامتر ثابت روش بلانتون از طریق روش بهینه‌سازی کلاسیک نیوتن محاسبه می‌شود. در نهایت، مقادیر فشار منفذی و تنش افقی حداقل با داده‌های اندازه‌گیری شده برای ارزیابی دقت نتایج مقایسه می‌شوند. این نتایج توانایی روش بهینه‌سازی پیشنهادی را در تعیین دقیق فشار منفذی و تنش افقی حداقل نشان می‌دهد.
کلیدواژه‌ها

عنوان مقاله English

Estimating Pore Pressure and Minimum Horizontal Stress of An Oil Field Based on Well Log Data Using Newton Classical Optimization Method

نویسندگان English

Manouchehr Sanei
Ahmad Ramezanzadeh
Mina Shafiabadi
Shahrood University of Technology
چکیده English

Optimization is one of the branches of applied mathematics used in various decision-making fields such as engineering, mathematics, and computer science. The classical method is one of the branches of optimization that can be used to make decisions in various problems. Accurate knowledge of pore pressure and minimum horizontal stress is necessary for the drilling, stability, and completion stages of the wellbore. The estimation of the mentioned parameters is generally obtained using empirical and analytical relationships. The answer to these equations is suitable when the constant coefficients chosen for each equation are correct. The computation of coefficients is usually done experimentally and even manually. Now, accurate and automatic computation of parameters can be a progressive step for using these equations. Therefore, the purpose of this research is presented in three parts. First, the pore pressure is estimated based on Eaton's relationship. To accurately estimate the pore pressure, the constant coefficients of the Eaton equation are automatically calibrated and calculated through the gradient-based Newton classical optimization method. Second, the minimum horizontal stress is obtained using the Blanton equation. To estimate properly the minimum horizontal stress, the constant coefficient of Blanton’s method is computed automatically via the Newton classical optimization method. Finally, the values of pore pressure and minimum horizontal stress are compared with the measured data to evaluate the accuracy of the results. These results show the ability of the proposed optimization method to determine accurately the pore pressure and the minimum horizontal stress.

کلیدواژه‌ها English

Pore Pressure
Minimum Horizontal Stress
Newton Optimization Method
Eaton Method
Blanton Equation
Well Log Data
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