Multistage Optimization of a Petroleum Production System with Material Balance Model

Cyrille Vessaire (1) , Jean-Philippe Chancelier (1) , Michel de Lara (1) , Pierre Carpentier (2) , Alejandro Rodríguez-Martínez (3) , Anna Roberts (3)

1 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
2 OC - Optimisation et commande
3 TotalEnergies SE

In this paper, we propose a mathematical formulation for the management of an oil production network as a multistage optimization problem. The reservoir is modeled as a controlled dynamical system by using material balance equations. We use a dynamic programming algorithm to solve the optimization problem. Two numerical applications illustrate our work: the first one consists in optimizing the production of a gas reservoir, whereas the second one tackles an oil reservoir with water injection.

Domaines: Optimisation et contrôle [math.OC]

Cyrille Vessaire, Jean-Philippe Chancelier, Michel de Lara, Pierre Carpentier, Alejandro Rodríguez-Martínez, et al.. Multistage Optimization of a Petroleum Production System with Material Balance Model. 2022. ⟨hal-03508607v1⟩