Single Shooting and ESDIRK Methods for adjoint-based optimization of an oil reservoir

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

Single Shooting and ESDIRK Methods for adjoint-based optimization of an oil reservoir

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 eld. Advances in smart well technology and enhanced oil recovery techniques enable signicant larger recovery. To realize this potential, feedback model-based optimal control technologies are needed to manipulate the injections and oil production such that ow is uniform in a given geological structure. Even in the case of conventional water ooding, 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 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	Proceedings of the 17th Nordic Process Control Workshop
Editors	John Bagterp Jørgensen, Jakob Kjøbsted Huusom, Gürkan Sin
Place of Publication	Kogens Lyngby
Publisher	Technical University of Denmark
Publication date	2012
ISBN (Print)	978-87-643-0946-1
Publication status	Published - 2012
Event	17th Nordic Process Control Workshop - Kongens Lyngby, Denmark Duration: 25 Jan 2012 → 27 Jan 2012 Conference number: 17 http://npcw17.imm.dtu.dk/

Conference

Conference	17th Nordic Process Control Workshop
Number	17
Country/Territory	Denmark
City	Kongens Lyngby
Period	25/01/2012 → 27/01/2012
Internet address	http://npcw17.imm.dtu.dk/

Keywords

Oil Reservoir
Optimal Control
Numerical Methods
Optimization

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title = "Single Shooting and ESDIRK Methods for adjoint-based optimization of an oil reservoir",

abstract = "Conventional recovery techniques enable recovery of 10-50% of the oil in an oil eld. Advances in smart well technology and enhanced oil recovery techniques enable signicant larger recovery. To realize this potential, feedback model-based optimal control technologies are needed to manipulate the injections and oil production such that ow is uniform in a given geological structure. Even in the case of conventional water ooding, 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 a continuous adjoint method for sensitivity computation. We demonstrate the procedure on a water ooding example with conventional injectors and producers.",

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

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

year = "2012",

language = "English",

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editor = "J{\o}rgensen, {John Bagterp} and Huusom, {Jakob Kj{\o}bsted} and G{\"u}rkan Sin",

booktitle = "Proceedings of the 17th Nordic Process Control Workshop",

publisher = "Technical University of Denmark",

note = "17th Nordic Process Control Workshop, NPCW17 ; Conference date: 25-01-2012 Through 27-01-2012",

url = "http://npcw17.imm.dtu.dk/",

}

Capolei, A, Völcker, C, Frydendall, J & Jørgensen, JB 2012, Single Shooting and ESDIRK Methods for adjoint-based optimization of an oil reservoir. in JB Jørgensen, JK Huusom & G Sin (eds), Proceedings of the 17th Nordic Process Control Workshop. Technical University of Denmark, Kogens Lyngby, 17th Nordic Process Control Workshop, Kongens Lyngby, Denmark, 25/01/2012. <http://npcw17.imm.dtu.dk/default.html>

Single Shooting and ESDIRK Methods for adjoint-based optimization of an oil reservoir. / Capolei, Andrea; Völcker, Carsten; Frydendall, Jan et al.
Proceedings of the 17th Nordic Process Control Workshop. ed. / John Bagterp Jørgensen; Jakob Kjøbsted Huusom; Gürkan Sin. Kogens Lyngby: Technical University of Denmark, 2012.

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

TY - GEN

T1 - Single Shooting and ESDIRK Methods for adjoint-based optimization of an oil reservoir

AU - Capolei, Andrea

AU - Völcker, Carsten

AU - Frydendall, Jan

AU - Jørgensen, John Bagterp

N1 - Conference code: 17

PY - 2012

Y1 - 2012

N2 - Conventional recovery techniques enable recovery of 10-50% of the oil in an oil eld. Advances in smart well technology and enhanced oil recovery techniques enable signicant larger recovery. To realize this potential, feedback model-based optimal control technologies are needed to manipulate the injections and oil production such that ow is uniform in a given geological structure. Even in the case of conventional water ooding, 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 a continuous adjoint method for sensitivity computation. We demonstrate the procedure on a water ooding example with conventional injectors and producers.

AB - Conventional recovery techniques enable recovery of 10-50% of the oil in an oil eld. Advances in smart well technology and enhanced oil recovery techniques enable signicant larger recovery. To realize this potential, feedback model-based optimal control technologies are needed to manipulate the injections and oil production such that ow is uniform in a given geological structure. Even in the case of conventional water ooding, 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 a continuous adjoint method for sensitivity computation. We demonstrate the procedure on a water ooding example with conventional injectors and producers.

KW - Oil Reservoir

KW - Optimal Control

KW - Numerical Methods

KW - Optimization

M3 - Article in proceedings

SN - 978-87-643-0946-1

BT - Proceedings of the 17th Nordic Process Control Workshop

A2 - Jørgensen, John Bagterp

A2 - Huusom, Jakob Kjøbsted

A2 - Sin, Gürkan

PB - Technical University of Denmark

CY - Kogens Lyngby

T2 - 17th Nordic Process Control Workshop

Y2 - 25 January 2012 through 27 January 2012

ER -

Single Shooting and ESDIRK Methods for adjoint-based optimization of an oil reservoir

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Keywords

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