Iterative algorithm for solving the model for forecasting dynamics of oil and gas field development based on well operation data

Kuntsev V. E., Kozhevnikova P. V., Dorogobed A. N.

The article is dedicated to the development of an iterative method for solving a mathematical model of the hydrodynamic connection of an oil and gas field according to the history of well operation. After selection of the parameter vector, the model will be used for tomographic calculations and monitoring of the spatial distribution of the filtration resistance of the permeable formation. A computational scheme, a formula for calculating the relaxation parameter, residual control, and rules for stopping the iterative process are described. A software implementation of all computational schemes was completed, on which testing was carried out to verify the adequacy of the algorithm according to the experimental field data.

Keywords:mathematical model, iterative process, partial derivative, optimization parameters, oil and gas field, well flow rate.