estimation of pore pressure and minimum horizontal stress using newton classical optimization procedure based on well log data

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.

estimation of pore pressure and minimum horizontal stress using newton classical optimization procedure based on well log data

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.