Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Phase portrait–stable node

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Equilibrium solutions stability—linear 2D problems (adapted from Ref. [2])

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Possible phase portrait in a 2D nonlinear system

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Strange attractor [3]—Lorenz attractor

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Horizontal pumping system

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Typical nodal analysis graph

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Nodal analysis graph: unstable and stable points

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Reservoir-casing-tubing-annular space model

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Natural casing-annulus separation efficiency—pumped well

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Generic rotary separator efficiency curve

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Two-phase pump performance curve

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Nodal analysis—example 1

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Transient solution—example 1—liquid flow rates

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Attractor—example 1

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Transient solution—example 2—tubing and reservoir liquid flow rates

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Transient solution—example 2—annular space and reservoir liquid flow rates

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Nodal analysis—example 3

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Transient solution—example 3—tubing and reservoir liquid flow rates

Date of download: 12/26/2017 Copyright © ASME. All rights reserved. From: Modeling Oscillatory Behavior of Electrical Submersible Pump Wells Under Two-Phase Flow Conditions J. Energy Resour. Technol. 2014;136(4):041001-041001-8. doi:10.1115/1.4028271 Figure Legend: Transient solution—example 3—annular space and reservoir liquid flow rates