Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestration

Handle URI:
http://hdl.handle.net/10754/599090
Title:
Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestration
Authors:
Simon, Moritz; Ulbrich, Michael
Abstract:
Motivated by applications in subsurface CO2 sequestration, we investigate constrained optimal control problems with partially miscible two-phase flow in porous media. The objective is, e.g., to maximize the amount of trapped CO2 in an underground reservoir after a fixed period of CO2 injection, where the time-dependent injection rates in multiple wells are used as control parameters. We describe the governing two-phase two-component Darcy flow PDE system and formulate the optimal control problem. For the discretization we use a variant of the BOX method, a locally conservative control-volume FE method. The timestep-wise Lagrangian of the control problem is implemented as a functional in the PDE toolbox Sundance, which is part of the HPC software Trilinos. The resulting MPI parallelized Sundance state and adjoint solvers are linked to the interior point optimization package IPOPT. Finally, we present some numerical results in a heterogeneous model reservoir.
Citation:
Simon M, Ulbrich M (2013) Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestration. Advanced Computing: 81–98. Available: http://dx.doi.org/10.1007/978-3-642-38762-3_4.
Publisher:
Springer Science + Business Media
Journal:
Lecture Notes in Computational Science and Engineering
KAUST Grant Number:
UK-C0020
Issue Date:
2013
DOI:
10.1007/978-3-642-38762-3_4
Type:
Book Chapter
ISSN:
1439-7358
Sponsors:
This publication is based on work supported by Award No. UK-C0020, madeby King Abdullah University of Science and Technology (KAUST). The work was conductedfor the MAC-KAUST project K1 “Simulating CO2 Sequestration” within the Munich Centre ofAdvanced Computing (MAC) at TUM. The authors gratefully acknowledge this support as well asthe grant DFG INST 95/919-1 FUGG that provided partial funding of the compute cluster used forthe computations. Moreover, the authors would like to thank Michael Bader for handling the paperand the three referees for their valuable comments.
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Full metadata record

DC FieldValue Language
dc.contributor.authorSimon, Moritzen
dc.contributor.authorUlbrich, Michaelen
dc.date.accessioned2016-02-25T13:52:41Zen
dc.date.available2016-02-25T13:52:41Zen
dc.date.issued2013en
dc.identifier.citationSimon M, Ulbrich M (2013) Optimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestration. Advanced Computing: 81–98. Available: http://dx.doi.org/10.1007/978-3-642-38762-3_4.en
dc.identifier.issn1439-7358en
dc.identifier.doi10.1007/978-3-642-38762-3_4en
dc.identifier.urihttp://hdl.handle.net/10754/599090en
dc.description.abstractMotivated by applications in subsurface CO2 sequestration, we investigate constrained optimal control problems with partially miscible two-phase flow in porous media. The objective is, e.g., to maximize the amount of trapped CO2 in an underground reservoir after a fixed period of CO2 injection, where the time-dependent injection rates in multiple wells are used as control parameters. We describe the governing two-phase two-component Darcy flow PDE system and formulate the optimal control problem. For the discretization we use a variant of the BOX method, a locally conservative control-volume FE method. The timestep-wise Lagrangian of the control problem is implemented as a functional in the PDE toolbox Sundance, which is part of the HPC software Trilinos. The resulting MPI parallelized Sundance state and adjoint solvers are linked to the interior point optimization package IPOPT. Finally, we present some numerical results in a heterogeneous model reservoir.en
dc.description.sponsorshipThis publication is based on work supported by Award No. UK-C0020, madeby King Abdullah University of Science and Technology (KAUST). The work was conductedfor the MAC-KAUST project K1 “Simulating CO2 Sequestration” within the Munich Centre ofAdvanced Computing (MAC) at TUM. The authors gratefully acknowledge this support as well asthe grant DFG INST 95/919-1 FUGG that provided partial funding of the compute cluster used forthe computations. Moreover, the authors would like to thank Michael Bader for handling the paperand the three referees for their valuable comments.en
dc.publisherSpringer Science + Business Mediaen
dc.titleOptimal Control of Partially Miscible Two-Phase Flow with Applications to Subsurface CO2 Sequestrationen
dc.typeBook Chapteren
dc.identifier.journalLecture Notes in Computational Science and Engineeringen
dc.contributor.institutionChair of Mathematical Optimization, Department of Mathematics, Technische Universität München, Boltzmannstr. 3, 85748, Garching b. München, Germanyen
kaust.grant.numberUK-C0020en
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