Skip to main content
  • Book
  • © 2015

Analysis and Control of Oilwell Drilling Vibrations

A Time-Delay Systems Approach

  • Develops a comprehensive model of coupled torsional-axial vibrations to show the practicing engineer how to reduce the most damaging forms of drillstring vibration
  • Uses partial differential equations to show the researcher how a distributed-parameter model can be transformed into a neutral-type time-delay system or simplified analysis and simulation
  • Various methods of modeling and control analysed comparatively so that the reader can choose the most appropriate
  • Self-contained treatment introduces the student to mathematical background and existing models before developing novel techniques and results
  • Includes supplementary material: sn.pub/extras

Part of the book series: Advances in Industrial Control (AIC)

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Introduction

    • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
    Pages 1-5
  3. Modeling

    1. Front Matter

      Pages 7-7
    2. An Overview of Drillstring Models

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 9-23
    3. Bit-Rock Frictional Interface

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 25-43
    4. Comprehensive Modeling of a Vertical Oilwell Drilling System

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 45-54
  4. Analysis

    1. Front Matter

      Pages 55-55
    2. Neutral-Type Time-Delay Systems: Theoretical Background

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 57-82
    3. Bifurcation Analysis of the Drilling System

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 83-95
    4. Ultimate Boundedness Analysis

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 97-108
  5. Control

    1. Front Matter

      Pages 109-109
    2. Field Observations and Empirical Drilling Control

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 111-134
    3. Low-Order Controllers

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 135-157
    4. Flatness-Based Control of Drilling Vibrations

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 159-177
    5. Stick-Slip Control: Lyapunov-Based Approach

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 179-198
    6. Practical Stabilization of the Drilling System

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 199-224
    7. Performance Analysis of the Controllers

      • Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu
      Pages 225-246
  6. Back Matter

    Pages 247-282

About this book

This book reports the results of exhaustive research work on modeling and control of vertical oil well drilling systems. It is focused on the analysis of the system-dynamic response and the elimination of the most damaging drill string vibration modes affecting overall perforation performance: stick-slip (torsional vibration) and bit-bounce (axial vibration). The text is organized in three parts.

The first part, Modeling, presents lumped- and distributed-parameter models that allow the dynamic behavior of the drill string to be characterized; a comprehensive mathematical model taking into account mechanical and electric components of the overall drilling system is also provided. The distributed nature of the system is accommodated by considering a system of wave equations subject to nonlinear boundary conditions; this model is transformed into a pair of neutral-type time-delay equations which can overcome the complexity involved in the analysis and simulation of the partial differential equation model.

The second part, Analysis, is devoted to the study of the response of the system described by the time-delay model; important properties useful for analyzing system stability are investigated and frequency- and time-domain techniques are reviewed.

Part III, Control, concerns the design of stabilizing control laws aimed at eliminating undesirable drilling vibrations; diverse control techniques based on infinite--dimensional system representations are designed and evaluated. The control proposals are shown to be effective in suppressing stick-slip and bit-bounce so that a considerable improvement of the overall drilling performance can be achieved.

This self-contained book provides operational guidelines to avoid drilling vibrations. Furthermore, since the modeling and control techniques presented here can be generalized to treat diverse engineering problems, it constitutes a useful resource to researchers working on control and its engineering application in oil well drilling.

Authors and Affiliations

  • Laboratoire des Signaux et Systèmes, Supélec, Gif-sur-Yvette, France

    Martha Belem Saldivar Márquez, Islam Boussaada

  • CNRS-Supelec, Laboratory of Signals & Systems (L2S), Gif-sur-Yvette, France

    Hugues Mounier

  • L2S - Laboratoire des signaux et système, Supélec, Gif-sur-Yvette, France

    Silviu-Iulian Niculescu

About the authors

Belem Saldivar has a B.S. degree in electronics and telecommunications engineering; she has also a M.Sc. degree in Automatic Control and a conjoint Ph.D. degree in Automatic Control and in Informatics and Applications. Her research is focused on the analysis, modeling and control of finite and infinite-dimensional dynamical systems. Islam Bousaada has the B.S., M.Sc. and Ph.D. degrees in Mathematics. His research is focused on qualitative theory of differential equations and its applications, normal forms, nonlinear analysis and formal calculus. Hugues Mounier has the B.S. degree in computer science, M.Sc. and Ph.D. degrees in automatic control. His research interests include differentially flat systems, infinite dimensional systems (delay- and PDE-based), model free control, real time systems and their applications to the design of engineering systems. Silviu-Iulian Niculescu has the B.S., M.Sc. and Ph.D. degrees in Automatic Control. His research interests include delay systems, robust control, operator theory and numerical methods in optimization and their applications to the design of engineering systems.

Bibliographic Information

  • Book Title: Analysis and Control of Oilwell Drilling Vibrations

  • Book Subtitle: A Time-Delay Systems Approach

  • Authors: Martha Belem Saldivar Márquez, Islam Boussaada, Hugues Mounier, Silviu-Iulian Niculescu

  • Series Title: Advances in Industrial Control

  • DOI: https://doi.org/10.1007/978-3-319-15747-4

  • Publisher: Springer Cham

  • eBook Packages: Energy, Energy (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-15746-7Published: 26 March 2015

  • Softcover ISBN: 978-3-319-38634-8Published: 09 October 2016

  • eBook ISBN: 978-3-319-15747-4Published: 09 March 2015

  • Series ISSN: 1430-9491

  • Series E-ISSN: 2193-1577

  • Edition Number: 1

  • Number of Pages: XXIII, 282

  • Number of Illustrations: 86 b/w illustrations

  • Topics: Fossil Fuels (incl. Carbon Capture), Control and Systems Theory, Vibration, Dynamical Systems, Control

Buy it now

Buying options

eBook USD 84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access