Abstract
In underground hydrocarbon reservoirs, one of the famous problems which requires to be controlled is water coning. Normally, there are some unknown parameters due to physical nature of petroleum reservoirs that make the control design challenging. However, Lyapunove-based design of adaptive control for the production rate has been proposed to solve the problem, but this kind of design is merely able to follow the dynamic adaptation of the parameter to pursue the zero stability of the system state rather than estimating the unknown parameters. In reality, there is a need to have a good estimate of reservoir horizontal permeability to make a plan for the future of the reservoir. Therefore, a new approach to do system identification, beside its control, is needed. In this paper, Passivity-Based Identifier (PBI) controller is presented to not only control the water coning, but also estimate the reservoir permeability, simultaneously. For this reason, at first, a controller is presented for a case where reservoir permeability is known. Next an identifier is proposed to estimate both system state and parameter. Lastly, some numerical simulations are provided to show the effectiveness and the performance of the proposed adaptive control and adaptation laws. The numerical simulation results showed that the new control law, controls the system such that as time elapses, the whole oil column is depleted without any water production. In addition, the new adaptation law estimates the unknown parameter with a good accuracy.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call