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Reduced-order modeling for thermal recovery processes

Content Provider	Springer Nature Link
Author	Rousset, Matthieu A. H. Huang, Chung K. Klie, Hector Durlofsky, Louis J.
Copyright Year	2013
Abstract	Thermal recovery can entail considerably higher costs than conventional oil recovery, so the use of computational optimization techniques in designing and operating these processes may be beneficial. Optimization, however, requires many simulations, which results in substantial computational cost. Here, we implement a model-order reduction technique that aims at large reductions in computational requirements. The technique considered, trajectory piecewise linearization (TPWL), entails the representation of new solutions in terms of linearizations around previously simulated (and saved) training solutions. The linearized representation is projected into a low-dimensional space, with the projection matrix constructed through proper orthogonal decomposition of solution “snapshots” generated in the training step. Two idealized problems are considered here: primary production of oil driven by downhole heaters and a simplified model for steam-assisted gravity drainage, where water and steam are treated as a single “effective” phase. The strong temperature dependence of oil viscosity is included in both cases. TPWL results for these systems demonstrate that the method can provide accurate predictions relative to full-order reference solutions. Observed runtime speedups are very substantial, over 2 orders of magnitude for the cases considered. The overhead associated with TPWL model construction is equivalent to the computation time for several full-order simulations (the precise overhead depends on the number of training runs), so the method is only applicable if many simulations are to be performed.
Starting Page	401
Ending Page	415
Page Count	15
File Format	PDF
ISSN	14200597
Journal	Computational Geosciences
Volume Number	18
Issue Number	3-4
e-ISSN	15731499
Language	English
Publisher	Springer International Publishing
Publisher Date	2013-09-01
Publisher Place	Cham
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Model-order reduction Reservoir simulation Thermal recovery Proper orthogonal decomposition (POD) Trajectory piecewise linearization (TPWL) Surrogate modeling Steam-assisted gravity drainage (SAGD) Earth Sciences Geotechnical Engineering & Applied Earth Sciences Hydrogeology Mathematical Modeling and Industrial Mathematics Soil Science & Conservation
Content Type	Text
Resource Type	Article
Subject	Computers in Earth Sciences Computational Theory and Mathematics Computer Science Applications Computational Mathematics

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Development of a surrogate simulator for two-phase subsurface flow simulation using trajectory piecewise linearization

Reduced-order optimal control of water flooding using proper orthogonal decomposition

Neural Network Meta-Modeling of Steam Assisted Gravity Drainage Oil Recovery Processes

Pore-Scale Performance Evaluation and Mechanistic Studies of the Solvent-Aided SAGD (SA-SAGD) Process Using Visualization Experiments

Controllability and observability in two-phase porous media flow

Model-Order Reduction of Moving Nonlinear Electromagnetic Devices

Steam Assisted Gravity Drainage in Heavy Oil Reservoir ( Sagd )

On the Impact of Permeability Heterogeneity on SAGD Steam Chamber Growth

Reduced order models for many-query subsurface flow applications

Reduced-order modeling for thermal recovery processes

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Development of a surrogate simulator for two-phase subsurface flow simulation using trajectory piecewise linearization

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Reduced-order modeling for thermal recovery processes