Multistage Optimization of a Petroleum Production System with Material Balance Model

TL;DR

This paper presents a multistage optimization framework for petroleum production systems using material balance models and dynamic programming, demonstrated through applications to gas and water-injected oil reservoirs.

Contribution

It introduces a novel mathematical formulation and solution method for managing complex oil production networks as multistage dynamic optimization problems.

Findings

Optimized gas reservoir production using the proposed model.

Effectively managed water injection in oil reservoir optimization.

Demonstrated the approach's applicability through numerical examples.

Abstract

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.