2: Modelling extreme waves and their loads on offshore structures
Submitting Institution
Imperial College LondonUnit of Assessment
Civil and Construction EngineeringSummary Impact Type
EconomicResearch Subject Area(s)
Mathematical Sciences: Statistics
Earth Sciences: Oceanography
Engineering: Maritime Engineering
Summary of the impact
The impact arises from the study of extreme ocean waves and their
interaction with marine
structures. It is relevant to the offshore, shipping, coastal and marine
renewables industries and
has been both economic and regulatory, involving:
(a) The establishment of revised guidelines for the design of new
structures / vessels.
(b) Enhancing best practice, both from an economic and a safety
perspective.
(c) Reducing the uncertainty in critical design issues, thereby improving
overall reliability.
(d) Enabling "end-of-life" extensions for existing structures.
(e) Facilitating the effective decommissioning of redundant structures.
(f) Contributing to the development of new industrial R&D equipment,
thereby assisting
specialist UK manufacturers to secure international orders.
Underpinning research
This has addressed theoretical, experimental and numerical studies of
ocean waves, their
statistical distributions in extreme seas, and their interaction with
marine structures. The key
achievements have been to provide an improved physical understanding of
the evolution of the
largest waves [1,2,3]; to incorporate the essential physics into improved
numerical models [4]; to
quantify the exceedence probabilities of the largest waves [5]; and to
describe the nature of the
wave-structure interactions, including the prediction of the applied fluid
loads [6]. The work has
been led by Professor Chris Swan and has involved close collaboration with
leading industrial
practitioners including major oil companies (BP, Conoco-Phillips, Maersk,
Shell, Statoil, Talisman
and Woodside), specialist consultancies (Arup, JP Kenny and WS Atkins) and
international
regulatory authorities (ABS, BV, DNV and UK HSE).
All sea states are characterised by their frequency and directional
spectra. For design purposes,
both are assumed constant over time-scales corresponding to hundreds of
wave cycles. A key
aspect of our research has been to establish that the underlying spectra
may undergo rapid and
highly localised change in the vicinity of a large wave event. In deep
water this causes a
broadening of the frequency spectrum, the potential for higher energy
densities and hence larger
crest elevations [1,2,3,5]. These effects are critically dependent upon
both the steepness and
directionality of the sea state and provide an explanation for the
occurrence of "freak" or "rogue"
waves [5]; the latter believed to be responsible for the damage/failure of
fixed structures and
numerous shipping losses.
In seeking to describe extreme waves, particularly the kinematics
necessary for the calculation of
fluid loads, our research has shown that it is essential that any model
incorporates the underlying
physics of the sea state; specifically its nonlinearity, unsteadiness and
directionality. This had led
to improved wave models based upon high-order spectral methods and new
boundary element
formulations [4]. By combining the respective advantages of experimental
and numerical
modelling, we have been able to describe and explain the increased crest
heights arising at small
exceedence probabilities, to provide fully nonlinear statistical
distributions covering a broad range
of sea states, to identify those sea states in which nonlinear effects are
most likely to be significant,
and to provide relatively simple (design-orientated) solutions appropriate
to their quantification in
both deep and shallow water [5].
Building upon the success of our wave models [4] three important aspects
of wave loading have
been addressed:
(a) The prediction of wave-in-deck loads. This has shown that the maximum
fluid velocities high
in the wave crest may be substantially (30%) larger than previously
predicted. With impact
loads dependent upon the square of the fluid velocity, the importance of
accurate kinematic
predictions is clear.
(b) The prediction of global sub-structure loads. With wave energy
transferred to the higher
frequencies, the spatial dimensions of the largest waves will differ from
traditional solutions.
As a result, the global loads acting on a space-frame structure with
significant plan
dimensions will be critically dependent upon the applied wave model; the
commonly applied
solutions being excessively conservative.
(c) The interaction between waves and large volume structures. In such
cases, unexpected
loading components have been shown to relate to the scattering of
high-frequency waves
not predicted by existing diffraction solutions. These effects are closely
related to the onset
of transient structural deflections, the increased occurrence of wave
slamming, and the loss
of air-gap due to amplifications of the maximum crest elevation [6]
References to the research
* References that best indicate quality of underpinning research
*[1] Johannessen, T.B. and Swan, C. (2003) `On the nonlinear dynamics of
wave groups produced
by the focusing of surface-water waves'. Proc. Roy. Soc. A, 459,
pp 1021-1052, doi:
10.1098/rspa.2002.1028
[2] Gibson, R.S. and Swan, C. (2007) `The evolution of large ocean waves:
the role of local and
rapid spectral changes'. Proc. Roy. Soc. A, 463, pp 21-48,
doi:10.1098/rspa.2006.1729
[3] Katsardi, V. and Swan, C. (2011) The evolution of large non-breaking
waves in intermediate
and shallow water. Proc. Roy. Soc. A, 467, pp 778-805,
doi:10.1098/rspa.2010.0280
*[4] Bateman, W.J.D., Katsardi, V. and Swan, C. (2012) `Extreme ocean
waves. Part1: the
practical application of fully nonlinear wave modelling', Applied
Ocean Research, 34, 209-224.
doi:10.1016/j.apor.2011.05.002
*[5] Latheef, M. and Swan, C. (2013). `A laboratory study of wave crest
statistics and the role of
directional spreading'. Proc. Roy. Soc. A, 469, 20120696,
doi:10.1098/rspa.2012.0696
[6] Sheikh, R. & Swan, C. (2005). `The interaction between steep
waves and a vertical, surface-piercing
column' J. Offshore Mech. and Arct Eng., ASME, 127(1),
pp 31-38,
doi:10.1115/1.1854701
Details of the impact
The impact of the work arises at a number of different levels. In several
instances evidence is
provided that research results, proposed methodologies or developed models
have been
incorporated into best practice for the design of new, and the
re-assessment of existing, offshore
structures. This is often achieved by the inclusion of the work within the
recommendations arising
from Joint Industry Projects (JIP's); the latter representing a
co-ordinated study addressing a
specific problem area that has been highlighted by industry as being of
practical concern, both
from an operational and/or a safety perspective. In other instances,
research results have been
used to solve particular design problems. During the period covered, Swan
has been involved in
six JIP's, each producing its own design guidelines. Most importantly, he
has played a major role in
setting the scope for two of the largest JIP's ever undertaken in ocean
modelling; the CREST and
SHORTCREST JIP's. In considering this work it is essential to
recognise that, following the loss of
the Piper Alpha structure in the North Sea, offshore regulation is much
less prescriptive, requiring
safety cases to be prepared and justified by owners/operators. Where
research results have been
successfully employed in such cases, a material or practical impact has
been achieved in the
sense that the required reliability (hence safety) has been achieved or
the design uncertainty
reduced.
During 2006-2008 Noble Denton, a leading UK certification agency,
undertook a JIP to re-appraise
the loading methodology appropriate to Jack-up structures; the purpose of
this work being to
expand their safe working range [A]. An essential element of this revised
methodology was an
empirically corrected wave kinematics model; the empirical coefficients
being calibrated using the
fully nonlinear wave model proposed by Swan [5]. Without the fully
nonlinear model, the revised
methodology could not have been achieved.
The CREST JIP was undertaken from 2007-2010. The technical work
was conducted by
internationally leading experts and supported by 24 industrial sponsors;
the latter including all the
major oil companies and numerous regulatory authorities. The only
university involved in this work
was Imperial College; Swan leading WP2 on nonlinear wave modelling and
contributing
significantly to WP4 on fluid loading. A key output from this study was
the recommendation that the
existing crest-height distributions are non-conservative in the most
severe sea states; the
recommendation being that an additional 5-8% is added to account for the
full nonlinearity. This
was entirely based upon the work outlined in [5] An additional 1-2 metres
of crest elevation has
major implications for both the cost / design of new structures and the
re-appraisal of existing
structures. Evidence of the importance of this work being provided by the
studies undertaken in
respect of the North Rankin A platform (Australia) [C,D], the Arbroath
platform (UK — North Sea) [C]
and the Tyra field (Denmark — North Sea) [D].
The CresT JIP also considered the prediction of the wave-induced
velocities; the commonly
applied design solutions being bench-marked by comparison to the models
outlined in [4].
Recommendations were made concerning the need to incorporate the essential
physics and, in the
case of the most extreme waves, to include the full nonlinearity [B].
Building on this work, the latest
revision of the International Standards Organisation (ISO) design guidance
note for offshore
structures (Part 1: Metocean design and operating considerations; ISO
119901-1. [E]) notes that
commonly applied design wave solutions may be "non-conservative"
and that nonlinear wave
models are "recommended". Indeed, a new section on nonlinear wave
modelling has been
introduced. This emphasises the physical properties of real sea states
noting that "for many
purposes, a more accurate nonlinear wave model may be helpful or
essential". Indeed, the
standard goes further noting that for the calculation of wave-in-deck
loads and the wave forces on
a fixed structure in steep waves, "a fully-nonlinear wave model is
required". To date, the only fully
nonlinear wave models applied in practical offshore engineering design are
based upon those
developed by Swan at Imperial College [4].
Project specific examples of the impact arising from these wave models
are provided as follows. In
2008, kinematics calculations undertaken for Conoco Phillips were
incorporated into a DNV (one of
the largest certification agencies worldwide) technical note concerning
the re-appraisal of an
existing North Sea structure [F]. They concluded that accurate
fully-nonlinear velocities may differ
from typical design calculations by as much as 25%; whilst the total
sub-structure loads could be
reduced by 15%. More recently (2008-2010), calculations undertaken for
Woodside Energy Ltd. [C]
showed that under tropical cyclone conditions the total sub-structure
loads would be reduced by
more than 18%. In this case the certification authority (Lloyds Registry)
questioned the significant
departures from the American Petroleum Institute (API) guidelines. In
addressing this point it was
shown [C] that the results were not inconsistent, but that accurate
kinematics predictions allowed
the API guidelines to be extended to the most severe sea states. In both
cases the reduction in the
applied substructure loads was key to achieving the required reliability
and hence the desired life
extension.
Swan's work concerning the nonlinear wave interactions with large volume
concrete structures [6]
has also produced important impacts. In the first instance the work was
applied to explain the
occurrence of wave impacts on the Brent Bravo gravity based structure
(GBS) in the North Sea.
Having established that the integrity of the structure was not threatened,
but that the size and
layout of the legs were such that significant wave impacts could arise,
the areas of greatest
susceptibility were identified together with the magnitude of the maximum
loads and the areas over
which they act. This was important for the continued operation of the
structure. Following this work,
the UK HSE funded a JIP on nonlinear inertial loading; the resulting
guidance note listed under [G].
This work was subsequently incorporated into the ISO technical note on the
design of offshore
concrete structures [H]. This specifically comments on the unexpected
occurrence of wave impacts
and the need for detailed model testing. Based on this approach we have:
(a) Examined the
optimal column size and layout from the perspective of wave loading and
wave impacts on a new-build
GBS. (b) Addressed difficulties arising at the Sleipner A GBS in the North
Sea; a structure
that is integral to the UK gas supply from Norwegian fields and which has
suffered unexpected
shut downs due to the occurrence of wave impacts. This work has considered
the wave impact
loads arising on the column face, the underside of the deck structure, on
essential safety
equipment (including free-fall life boats) and, most recently, the loads
on newly installed processing
equipment [I]. (c) Assessed the implication of the wave-structure
interaction for the
decommissioning of the Brent Delta GBS. This structure is the first of its
kind/size to be
decommissioned. Work undertaken by Swan has quantified the kinematic
enhancement factors,
allowing the fluid loads on subsea infrastructure, essential to the
initial stages of the
decommissioning, to be calculated [C]. This information was vital to
ensure the proposed
decommissioning can be undertaken with the appropriate environmental
safeguards.
Our work on shallow water wave modelling [3] has also produced a number
of key impacts. This
work led to our participation in the LOWISH JIP. This project was
managed by Shell International
and supported by 5 major oil companies. A key output from this study was a
new laboratory data
base generated by Swan at Imperial College. The immediate impacts arising
from this work were
(a) design guidance on shallow water wave statistics, (b) updated breaking
criteria for waves on
mild bed slopes and (c) guidance on kinematics predictions [D]. More
recently, others have applied
this data base producing the following impacts: (a) Improved calibration
of the breaking module
within the SWAN shallow water wave model [D]. This model
originates from TUDelft and is
extensively applied in design applications world-wide. This work was
supported by the US National
Oceanographic Partnership Programme (NOPP) and funded by the US
Office of Naval Research.
(b) The formulation and validation of a new empirical wave height
distribution model developed in-house
by Shell [D]. (c) The overall recommendations of the LOWISH JIP,
to which the laboratory
data generated by Swan contributed greatly, have been incorporated within
a leading hindcast
model; the latter work undertaken by Ocean Weather Inc. as part of the
Southern North Sea
Extension Hindcast (SNEXT) JIP [D]. (e) It has also provided new
design wave kinematics for the
PLUTO pipeline, a large infrastructure project extending across the
continental shelf of north-west
Australia [J].
Finally, our expertise in nonlinear wave modelling and laboratory wave
generation led to the
development of a theoretical transfer function, optimising the performance
of force controlled wave
machines. This has facilitated further industrial impact in terms of
assisting specialist UK
manufacturers to secure international orders. Edinburgh Designs Ltd.,
implemented this work as an
integral part of their software control, regarding it as a key component
in successful bids to supply
wave makers for two very large model testing facilities [K]. The first of
these was at MARIN (the
Maritime Research Institute, Netherlands), and the second the Naval
Surface Warfare Centre at
Carderock, USA. The costs of these facilities were €17M and $25M
respectively.
Sources to corroborate the impact
[A] Smith S.F, et al. (2006). 3D nonlinear wave spreading on
jackup loading and response and its
impact on current assessment practice. OTC paper: 18622.
DOI:10.4043/18266-MS
[B] CresT JIP summary report (2010). Summary and recommendations on crest
distributions.
Edited by Buchner, B. Available on request.
[C] Director, Atkins Energy to confirm the impacts arising from the
application of fully nonlinear
wave modelling
[D] Principal Met-Ocean Engineer, Shell Malaysia to confirm the impacts
arising from the
application specifically the North Rankin A platform and the Tyra-East and
West developments
[E] ISO (2013). Petroleum & natural gas industries: Specific
requirements for offshore structures — Part
1: Metocean design and operating considerations. ISO (draft) report:
119901-1. Available
at http://www.iso.org/iso/home/store/catalogue_tc/catalogue_detail.htm?csnumber=34586
or
on request
[F] DNV (2008). Technical Report: Greater Ekofisk Area. Jacket load
comparison, Stokes 5th-order
regular wave and fully nonlinear random wave kinematics. Report
No:2008-1264.
Available on request
[G] Tromans, P.S., Swan, C. & Masterton, S.R. (2005). Technical
report: Nonlinear potential flow
forcing: the ringing of concrete gravity based structures. UK HSE Report
No: RR468 Available
at http://www.hse.gov.uk/research/rrhtm/rr468.htm.
Also available here
[H] ISO (2006). Standards for the Petroleum and natural gas industries —
Fixed concrete offshore
structures. Report number ISO 19903:2006. Available at
http://www.iso.org/iso/catalogue_detail.htm?csnumber=22994
or on request
[I] Swan, C., Katsardi, V. (20012). Wave-structure interaction at the
Sleipner A gravity based
structure. The third in a series of reports prepared for Statoil ASA,
Norway. Available on
request.
[J] Swan, C. and Katsardi, V. (2008). Wave-induced loads on sea bed
pipelines. A report
prepared for Woodside Energy Ltd., Australia. Available on request.
[K] Director, Edinburgh Designs Ltd. to confirm the modelling was an
integral part of their control
software and a key ingredient in securing two very large international
orders( MARIN and the
Naval Surface Warfare Centre at Carderrock, USA; the latter being the
largest research facility
of its type world-wide