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 NOV CTES
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ZETA Model - Design Well Intervention Stacks

The Zeta Model software is one of the two primary components that comprise the Zeta Safety System for well intervention operations. The Zeta safety system utilizes data and modeling to eliminate the guesswork commonly associated with well intervention design and operations. The system was designed to avoid catastrophic buckling and bending failures of well intervention stacks. These failures are costly, and could involve human injury and unplanned release of wellbore pressure to the atmosphere.

Benefits of the Zeta Model Application

  • Cost effective equipment selection (gimble tables, load frames, lubricator size/material)
  • Adequate safety margin for the specific intervention operation
  • Optimized rig-up configuration
  • Avoid catastrophic buckling and bending failures of the intervention stack
  • Eliminate guesswork & unproductive rigtime

Answers Provided by the Zeta Model

  • Stress levels for the entire well intervention stack
  • Accurate modeling of stacks with moving wellheads and or floating platforms (dynamic analysis)
  • Stress changes resulting from stack loading changes
  • Need for additional stack supports and their location
  • Weight required to buckle the stack
  • Maximum stress location
  • Stack vibration frequency

Typical Zeta Model Applications

  • Tall well intervention stacks
  • Moving wellhead and/or floating structure (TLP, SPAR) intervention stacks

 

 

Zeta Model. Click to enlarge.

(click to enlarge)

Description of the Zeta Model

The Zeta model is based on a non-linear finite-element (FEA) approach, purpose-written for analyzing intervention structures. The FEA analysis is run repeatedly at very small time increments to perform a dynamic analysis. A finite difference, forward difference scheme is used to determine the acceleration of each component in the stack, and the associated dynamic forces. The model accurately calculates the buckling instability of the stack. It also calculates the Von Mises stress throughout the structure, and compares the guy wire loads to user defined limits. Thus it examines the structure for both modes of failure; failure due to buckling instability and failure due to yielding of a component in the structure.

Validation of the Zeta Model

Extensive work has been performed to validate the results of the Zeta model.  The model predictions vs. analytical results were excellent.  A white paper is available for review.

  • Buckling load model comparison were within 1% of each other under the same conditions (zero gravity situations - as typically stipulated in the analytical solution).
  • Critical frequency model comparisons were within 2% of each other under the same conditions.

For additional information, the following are available for download:

Literature & White Papers

Zeta Brochure

Technical Papers, Articles & White Papers

SPE 94233 Modeling and Measuring Dynamic Well Intervention Stack Stress
SPE 89502
Finite Element Analysis of Coiled Tubing Forces
SPE 89515 IRISS - Intervention Riser Integrity and Safety System
Zeta Model Validation (analytical solution vs. the Zeta Model output)

Software

Zeta Model Software (fully functional demo software)

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