Exploring the speeding up calculations possibility of hydrodynamic models using automatic adjustment of iterative process parameters in numerical solution

UDK: 681.518:622.276
DOI: 10.24887/0028-2448-2024-12-64-69
Key words: hydrodynamic modeling, acceleration of calculations, numerical solution, iterative methods
Authors: A.M. Sharipov (Gazprom Neft Companу Group, RF, Saint Petersburg); S.V. Kaigorodov (Gazprom Neft Companу Group, RF, Saint Petersburg); A.P. Roschektaev (Gazprom Neft Companу Group, RF, Saint Petersburg); M.F. Fazlytdinov (Gazprom Neft Companу Group, RF, Saint Petersburg)

Modeling of the field development process takes a lot of time because requires many calculations on hydrodynamic simulator. The adaptation to the original data is performed first, and then the forecasts are calculated. As a result it may take several months to find the optimal solution. Therefore research aimed at studying the possibility of accelerating hydrodynamic calculations is relevant. Modern hydrodynamic simulators solve complex nonlinear differential equations using numerical methods (approximation is performed and as a result, a system of algebraic equations is obtained) and iterative methods are used to solve the obtained system of algebraic equations. The more iterations are performed, the more accurate the solution is obtained, but the calculation time increases. Thus a balance is achieved between accuracy and calculation time. It can be adjusted using the settings of the iterative process which are available in all hydrodynamic simulators. The default parameters of the iterative process in hydrodynamic simulators are set to provide the correct solution in the optimal time for most models. These parameters may not be optimal for a particular model and they can be adjusted to reduce the calculation time and save the error within the acceptable range. The automated tuning possibility of iterative process parameters is studied in this work using the tNavigator simulator.

 

 

References

1. IRM. Tekhnicheskoe rukovodstvo tNavigator (IRM. Technical Manual tNavigator), 2024, URL: https://irmodel.ru/

2. Differential Evolution: geneticheskiy algoritm optimizatsii funktsii (Differential Evolution: Genetic Algorithm for Function Optimization), URL: https://habr.com/ru/articles/171751/

3. Metod Neldera–Mida (Nelder–Mead method), URL: https://en.wikipedia.org/wiki/Nelder-Mead_method

4. IRM. Rukovodstvo pol’zovatelya tNavigator. Adaptatsiya i Optimizatsiya (IRM. User’s Guide tNavigator. Adaptation and Optimization), 2024, URL: https://irmodel.ru/



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