0
Research Papers: Ocean Engineering

Comparison of Two Models for Prediction of Seismic Streamer State Using the Ensemble Kalman Filter

[+] Author and Article Information
Jan Vidar Grindheim

GEOGRAF AS,
Strandgt. 5,
Sandnes NO-4307, Norway;
Faculty of Science and Technology (IMT),
Norwegian University of Life Sciences (NMBU),
P.O. Box 5003,
Ås NO-1432, Norway;
Laboratório de Ondas e Correntes (LOC) at
UFRJ/COPPE,
Federal University of Rio de Janeiro,
Rio de Janeiro 22241-160, Brazil
e-mail: jg@geograf.no

Inge Revhaug

Professor
Faculty of Science and Technology (IMT),
Norwegian University of Life Sciences (NMBU),
P.O. Box 5003,
Ås NO-1432, Norway
e-mail: inge.revhaug@nmbu.no

Egil Pedersen

Professor
Department of Engineering Science and Safety,
The Arctic University of Norway (UiT),
Hansine Hansens, veg 18,
Tromsø NO-9037, Norway
e-mail: egil.pedersen@ntc-as.no

Peder Solheim

Geograf AS,
Strandgt. 5,
Sandnes NO-4307, Norway
e-mail: peder@geograf.no

1Corresponding author.

Contributed by the Ocean, Offshore, and Arctic Engineering Division of ASME for publication in the JOURNAL OF OFFSHORE MECHANICS AND ARCTIC ENGINEERING. Manuscript received August 16, 2017; final manuscript received May 7, 2018; published online June 13, 2018. Assoc. Editor: Marcelo R. Martins.

J. Offshore Mech. Arct. Eng 140(6), 061101 (Jun 13, 2018) (9 pages) Paper No: OMAE-17-1145; doi: 10.1115/1.4040244 History: Received August 16, 2017; Revised May 07, 2018

Towed marine seismic streamers are extensively utilized for petroleum exploration. With the increasing demand for efficiency, leading to longer and more densely spaced streamers, as well as four-dimensional (4D) surveys and more complicated survey configurations, the demand for optimal streamer steering has increased significantly. Accurate streamer state prediction is one important aspect of efficient streamer steering. In the present study, the ensemble Kalman filter (EnKF) has been used with two different models for data assimilation including parameter estimation followed by position prediction. The data used are processed position data for a seismic streamer at the very start of a survey line with particularly large cable movements due to currents. The first model is a partial differential equation (PDE) model reduced to two-dimensional (2D), solved using a finite difference method (FDM). The second model is based on a path-in-the-water (PIW) model and includes a drift angle. Prediction results using various settings are presented for both models. A variant of the PIW method gives the overall best results for the present data.

FIGURES IN THIS ARTICLE
<>
Copyright © 2018 by ASME
Your Session has timed out. Please sign back in to continue.

References

Polydorides, N. , Storteig, E. , and Lionheart, W. , 2008, “ Forward and Inverse Problems in Towed Cable Hydrodynamics,” Ocean Eng., 35(14–15), pp. 1429–1438. [CrossRef]
Solheim, P. , 2013, “ Method for Determining Correction Under Steering of a Point on a Towed Object Towards a Goal Position,” U.S. Patent No. 8,606,440. https://patents.google.com/patent/US8606440
Evensen, G. , 2009, “ The Ensemble Kalman Filter for Combined State and Parameter Estimation,” IEEE Control Syst. Mag., 29(3), pp. 83–104. [CrossRef]
Evensen, G. , 2009, Data Assimilation. The Ensemble Kalman Filter, Springer, Berlin, Chap. 9.
Ablow, C. M. , and Schechter, S. , 1983, “ Numerical Simulation of Undersea Cable Dynamics,” Ocean Eng., 10(6), pp. 443–457. [CrossRef]
Milinazzo, F. , Wilkie, M. , and Latchman, S. A. , 1987, “ An Efficient Algorithm for Simulating the Dynamics of Towed Cable Systems,” Ocean Eng., 14(6), pp. 513–526. [CrossRef]
Burgess, J. J. , 1991, “ Modeling of Undersea Cable Installation With a Finite Difference Method,” First International Offshore and Polar Engineering Conference, Edinburgh, UK, Aug. 11–16, pp. 222–227. https://www.onepetro.org/conference-paper/ISOPE-I-91-095
Vaaland, T. , and Solheim, P. , 2012, ResProg 4.5, Geograf As, Sandnes, Norway.
Grindheim, J. V. , Revhaug, I. , and Pedersen, E. , 2017, “ Utilizing the EnKF (Ensemble Kalman Filter) and EnKS (Ensemble Kalman Smoother) for Combined State and Parameter Estimation of a 3D Towed Underwater Cable Model,” ASME J. Offshore Mech. Arct. Eng., 139(6), p. 061303. [CrossRef]
Grant, T. J. , 2015, “ The Vertical Shape of a Buoyant Acoustic Streamer Between Depth Control Units,” Ocean Eng., 105, pp. 176–185. [CrossRef]
Pedersen, E. , 2001, “ On the Effect of Slowly-Varying Course Fluctuations of Seismic Vessels During Towed Multi-Streamer Operations,” J. Jpn. Inst. Navigation, 104, pp. 95–101. [CrossRef]
Pedersen, E. , 1996, “ A Nautical Study of Towed Marine Seismic Streamer Cable Configurations,” Ph.D. thesis, Norwegian University of Science and Technology, Trondheim, Norway.
Rispin, P. , 1980, “ Data Package No. 1 for Cable and Array Maneuvering,” David W. Taylor Naval Ship Research and Development Center, Bethesda, MD.
Brown, R. G. , and Hwang, P. Y. C. , 1997, Introduction to Random Signals and Applied Kalman Filtering, 3rd ed., Wiley, New York.
Grindheim, J. V. , Revhaug, I. , and Welker, K. , 2017, “ Improved Ocean Current Estimation Using a Seismic Streamer Model,” Offshore Technology Conference (OTC), Rio de Janeiro, Brazil, Oct. 24–26, Paper No. OTC-28152-MS.

Figures

Grahic Jump Location
Fig. 1

Example of seismic streamer towing configuration (Courtesy of Petroleum Geo-Services)

Grahic Jump Location
Fig. 2

Data node positions for initial step (step number 1), with the cable used in this study highlighted. The cable front nodes are also pointed out.

Grahic Jump Location
Fig. 3

Coordinate system and angles for the 3D-FDM and 2D-FDM models. Orientation of local (t,n,b) and absolute (x,y,z) coordinate systems, and angles θ and φ. Axes x, y, and b are in the horizontal (level) plane, whereas z is perpendicular to the horizontal (level) plane. φ is in the vertical plane, and θ is in the horizontal plane. Positive directions of rotation are indicated.

Grahic Jump Location
Fig. 4

Simulation run described in Ablow and Schechter [5]: maximum absolute position differences between the original 3D-model (3D-FDM) and 2D-FDM. Also shown is maximum cable depth for 3D-FDM.

Grahic Jump Location
Fig. 5

Simulation run described in Ablow and Schechter [5] with w set to zero: maximum absolute position differences between the original 3D-model (3D-FDM) and 2D-FDM

Grahic Jump Location
Fig. 6

Simulation run described in Ablow and Schechter [5]: absolute difference in tension for the front-node between variations as described in the figure legend

Grahic Jump Location
Fig. 7

Description of the PIW model

Grahic Jump Location
Fig. 8

Two-dimensional finite difference method EnKF, crossline: estimated Ucrossline utilized for the prediction steps (steps 30–75)

Grahic Jump Location
Fig. 9

Two-dimensional finite difference method EnKF, crossline: coordinate deviation from true coordinates at step 75

Grahic Jump Location
Fig. 10

Two-dimensional finite difference method EnKF, inline: Estimated Uinline utilized from steps 30 to 75

Grahic Jump Location
Fig. 11

Two-dimensional finite difference method EnKF, inline: coordinate deviation at step 75

Grahic Jump Location
Fig. 12

Path-in-the-water ensemble Kalman filter: offset angle α for the PIW-EnKF at step 75 for various options. The value of α is constant from steps 30 to 75 (prediction steps) except for option E, which is moved each shotpoint.

Grahic Jump Location
Fig. 13

Path-in-the-water ensemble Kalman filter, crossline: Absolute coordinate deviation between true and predicted coordinates, at step number 75. S is the sum of deviations, and M the maximum deviation, from true coordinates (Eq. (8)). Options are sorted according to increasing value of M.

Grahic Jump Location
Fig. 14

Path-in-the-water ensemble Kalman filter, inline: Absolute coordinate deviation between true and predicted coordinates, at step number 75. S is the sum of deviations, and M the maximum deviation, from true coordinates (Eq. (8)). Options are sorted according to increasing value of M.

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In