Geomechanics and Geoenergy Journal

Geomechanics and Geoenergy Journal

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

Document Type : Original Article

Authors
Manouchehr Sanei 1
Ahmad Ramezanzadeh 2
Mina Shafiabadi 2
1 Shahrood University of Technology
2 Professor,Shahrood University of Technology, Shahroud, Iran
10.22107/jpg.2025.440332.1227
Abstract
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.
Keywords
Pore Pressure
Minimum Horizontal Stress
Newton Optimization Method
Eaton Method
Blanton Equation
Well Log Data
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Geomechanics and Geoenergy Journal
Volume 7, Issue 4
Winter 2025
Pages 14-25