Oil Reservoir Production Optimization using Single Shooting and ESDIRK Methods

Andrea Capolei; Carsten Völcker; Jan Frydendall; John Bagterp Jørgensen

doi:10.3182/20120531-2-NO-4020.00030

Oil Reservoir Production Optimization using Single Shooting and ESDIRK Methods

Andrea Capolei, Carsten Völcker, Jan Frydendall, John Bagterp Jørgensen

Center for Energy Resources Engineering

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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Abstract

Conventional recovery techniques enable recovery of 10-50% of the oil in an oil field. Advances in smart well technology and enhanced oil recovery techniques enable significant larger recovery. To realize this potential, feedback model-based optimal control technologies are needed to manipulate the injections and oil production such that flow is uniform in a given geological structure. Even in the case of conventional water flooding, feedback based optimal control technologies may enable higher oil recovery than with conventional operational strategies. The optimal control problems that must be solved are large-scale problems and require specialized numerical algorithms. In this paper, we combine a single shooting optimization algorithm based on sequential quadratic programming (SQP) with explicit singly diagonally implicit Runge-Kutta (ESDIRK) integration methods and the a continuous adjoint method for sensitivity computation. We demonstrate the procedure on a water
ooding example with conventional injectors and producers.

Original language	English
Title of host publication	Automatic Control in Offshore Oil and Gas Production
Number of pages	6
Volume	1
Publisher	International Federation of Automatic Control
Publication date	2012
Pages	286-291
ISBN (Print)	978-3-902661-99-9
DOIs	https://doi.org/10.3182/20120531-2-NO-4020.00030
Publication status	Published - 2012
Event	1st IFAC Workshop: Automatic Control in Offshore Oil and Gas Production - Norwegian University of Science and Technology, Trondheim, Norway Duration: 31 May 2012 → 1 Jun 2012 Conference number: 1

Workshop

Workshop	1st IFAC Workshop
Number	1
Location	Norwegian University of Science and Technology
Country/Territory	Norway
City	Trondheim
Period	31/05/2012 → 01/06/2012

Series	IFAC Proceedings Volumes (IFAC-PapersOnline)

Keywords

Optimal Control
Optimization
Numerical Methods
Oil Reservoir

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title = "Oil Reservoir Production Optimization using Single Shooting and ESDIRK Methods",

abstract = "Conventional recovery techniques enable recovery of 10-50% of the oil in an oil field. Advances in smart well technology and enhanced oil recovery techniques enable significant larger recovery. To realize this potential, feedback model-based optimal control technologies are needed to manipulate the injections and oil production such that flow is uniform in a given geological structure. Even in the case of conventional water flooding, feedback based optimal control technologies may enable higher oil recovery than with conventional operational strategies. The optimal control problems that must be solved are large-scale problems and require specialized numerical algorithms. In this paper, we combine a single shooting optimization algorithm based on sequential quadratic programming (SQP) with explicit singly diagonally implicit Runge-Kutta (ESDIRK) integration methods and the a continuous adjoint method for sensitivity computation. We demonstrate the procedure on a water ooding example with conventional injectors and producers.",

keywords = "Optimal Control, Optimization, Numerical Methods, Oil Reservoir",

author = "Andrea Capolei and Carsten V{\"o}lcker and Jan Frydendall and J{\o}rgensen, {John Bagterp}",

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series = "IFAC Proceedings Volumes (IFAC-PapersOnline) ",

publisher = "International Federation of Automatic Control",

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booktitle = "Automatic Control in Offshore Oil and Gas Production",

note = "1st IFAC Workshop : Automatic Control in Offshore Oil and Gas Production, ACOOG 2012 ; Conference date: 31-05-2012 Through 01-06-2012",

}

Capolei, A, Völcker, C, Frydendall, J & Jørgensen, JB 2012, Oil Reservoir Production Optimization using Single Shooting and ESDIRK Methods. in Automatic Control in Offshore Oil and Gas Production. vol. 1, International Federation of Automatic Control, IFAC Proceedings Volumes (IFAC-PapersOnline) , pp. 286-291, 1st IFAC Workshop, Trondheim, Norway, 31/05/2012. https://doi.org/10.3182/20120531-2-NO-4020.00030

Oil Reservoir Production Optimization using Single Shooting and ESDIRK Methods. / Capolei, Andrea; Völcker, Carsten; Frydendall, Jan et al.
Automatic Control in Offshore Oil and Gas Production. Vol. 1 International Federation of Automatic Control, 2012. p. 286-291 (IFAC Proceedings Volumes (IFAC-PapersOnline) ).

Research output: Chapter in Book/Report/Conference proceeding › Article in proceedings › Research › peer-review

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AB - Conventional recovery techniques enable recovery of 10-50% of the oil in an oil field. Advances in smart well technology and enhanced oil recovery techniques enable significant larger recovery. To realize this potential, feedback model-based optimal control technologies are needed to manipulate the injections and oil production such that flow is uniform in a given geological structure. Even in the case of conventional water flooding, feedback based optimal control technologies may enable higher oil recovery than with conventional operational strategies. The optimal control problems that must be solved are large-scale problems and require specialized numerical algorithms. In this paper, we combine a single shooting optimization algorithm based on sequential quadratic programming (SQP) with explicit singly diagonally implicit Runge-Kutta (ESDIRK) integration methods and the a continuous adjoint method for sensitivity computation. We demonstrate the procedure on a water ooding example with conventional injectors and producers.

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Oil Reservoir Production Optimization using Single Shooting and ESDIRK Methods

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Workshop

Keywords

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