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Because of the decrease of source energy
by geometrical spreading within the water column and of resolution
with depth, VHR data in the upper range of frequencies cannot
be acquired from the sea surface in areas deeper than about 300
m. They can be collected in deep water only with a combination
of a deep-towed source and streamer, such as was developed by
the Naval Ocean Research and Development Activity (NORDA) in the
late 70's and early 80's 16. Suitable new sources include chirps.
A source of this type is being considered for the deep tow EGR
(Ensemble Géophysique Remorqué) system, the successor,
now under study, of the Ifremer 6000m Sar/Pasisar package. The
possible frequency range is 250-2000 Hz. For the lowest frequencies
in this range, the potential depth of investigation of fine-grained
sedimentary sequences may be as much as 1500 m or more provided
that the source energy turns out to be powerful enough. Deep-towed
systems of this sort offer interesting possibilities for the fine-scale
study of deep sea Quaternary sequences.
High Resolution Investigations
Sources today include mini GI and sleeve air
guns and provide penetration of up to about 2000 m of sediment
(about 1.5 second two-way travel time), depending on the source
frequency and energy content. Depth of penetration was initially
limited by the presence of the first multiple. Developments include
the use of mutichannel streamers (with short (e.g. 6.25 m) group
intervals) which enables multiples to be eliminated by data processing.
With improvements of this kind, studies of seismic sequence stratigraphy
in shallow water can be extended to most of the late Tertiary.
The width of the first Fresnel zone (width of the area over which
the seismic information is stacked) increases significantly as
a function of water depth and there is thus no way to acquire
HR data (lateral resolution <15 m) in deep water (>1500
m) with conventional devices (source and recording system at the
sea-surface). The only way is to use either a hybrid arrangement
(source at the sea-surface and recording system near the seafloor)
or a fully deep towed device (source and recording system near
the seafloor). For a 300 Hz frequency source, for example, the
120 m width of the Fresnel zone for a conventional device decreases
to 25 m for a hybrid system and to 15 m for a fully deep towed
device. For an intermediate frequency (60 Hz) source, the 600
m width of the Fresnel zone for a conventional arrangement decreases
to 130 m for a hybrid system and to 80 m for a fully deep towed
device (Fig. 3).
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A disadvantage of the hybrid system is that the geometry of acquisition (source-hydrophone array-seafloor) induces large incidence angles of the seismic signal and necessitates appropriate specific processing 17. In addition, absorption (at least for very high frequencies) and wave front expansion of the signal decrease its amplitude as a function of the length of the propagation path through the water column. In spite of these difficulties, hybrid systems with the recording array near the seafloor can provide, in at least some geological contexts, a close approach to reasonably good quality HR data for the upper two kilometers or so of the sediment column in water depths down to 6000 m. The point is illustrated by comparing a portion of a record (Fig. 5b) acquired with the deep towed Pasisar streamer perpendicular to the deep Galicia margin with a conventional MCS section shot along the same line (Fig. 5a). The hybrid, Pasisar data show, for example, that the tilted block in the profile is not bounded by a single listric fault, but by several 20° dipping normal faults with vertical offsets of several hundred meters.
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Deep Objectives
Significant work has been done by European
research institutions on the seismic structure of the Mid-oceanic
Ridge, back-arc basin spreading centers and old oceanic crust,
plateaus and large igneous provinces.
Reflection studies have been used to image the Moho in old crust
and have been successful, for example, along the fast spreading
East Pacific Rise in identifying Moho and mapping the roofs of
magma chambers there 18,19 (Fig. 6), first imaged in 1981
with a single channel streamer and one Simplon Water Gun 20. More
recent investigations have involved the coupling of 2D reflection
profiling with the deployment of closely spaced seafloor instruments
for refraction studies and, in large operations, networks of many
instruments together with the incorporation of data from earthquake
seismology. The unprecedented MELT experiment, conducted on the
East Pacific Rise under the auspices of the US Ridge program,
combined seismic and electromagnetic observations to determine
the pattern of upwelling beneath the ridge and the geometry of
the zone of partial melting 21. Seismicity and refraction data
recorded by OBSs have begun to shed new light on difficult problems
such as along and across-strike, intra segment variations of the
crustal architecture and thickness of slow spreading ridges.
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In continental margin research, seismic objectives have, with
time, become increasingly deep in order to approach questions
such as the structure and rheology of the lower crust and upper
mantle, melt generation and migration, or the nature of the seismogenic
zone beneath active margins and the origin of fluid circulation
in accretionary prisms. All these studies have been carried out
either in areas of no interest to the petroleum industry (ridges
and deep oceanic basins) or, in the case of continental margins,
beyond its requirements in terms of depth of penetration.
To obtain deep reflections, research institutions have increased
the length of their streamers and the capacity and efficiency
of their seismic sources. A major breakthrough has been the single
bubble "Monobulle" principle of increasing the power
content of air guns in the low (10-25 Hz) frequency range and
reducing energy in the higher frequencies (>25 Hz), which introduces
noise that can pollute the signal in the useful, low frequency
range 22,23. The result is an increase in useful energy by a factor
of about 2.5-3. For example, the energy provided in the 10-25
frequency band by a 4000 c.i. gun array in the "Monobulle"
mode is equivalent to that of a 10 000-12 000 c.i. conventional
array.

Some critical information cannot be obtained
without refraction data (to give velocity structure), acquired
by using two ships or with standard OBSs, or with ocean bottom
vertical arrays (OBVSAs), which represent a leap forward in terms
of signal/noise ratio and velocity resolution (Avedik, 1986 #138).
The value of combining reflection and refraction methods is illustrated
here by a profile (IAM11) of the Iberian margin (Fig. 4),
shot by the commercial ship Geco Sigma using a 120 l airgun source
and a 4.8-km streamer with 192 channels24. In this profile, the
rotated fault blocks, bounded on the western side by normal faults
and well expressed in the upper part of the margin, overlie the
strong, smooth S reflector, which disappears east of the ODP site
639 (Fig. 7a). Mantle reflections are displayed only in
the upper part of the margin (km 30 to 60). At the base of the
continental slope is a prominent north-south feature, the Peridotite
Ridge, composed of serpentinized peridotites 25,26. The velocity
model derived from iterative pre-stack depth migration (Fig.
7b) does not provide any velocity information for the lower
crust and upper mantle. However, the model (Fig. 8a) resulting
from a seismic refraction experiment using OBSs does do so. It
is consistent with the reflection velocity model, established
from MCS data for the sediments and for the upper portion of the
tilted fault blocks (Fig. 8b), and it shows that the continental
crust thins westward to 2 km east of the Peridotite Ridge, which
is located near the ocean-continent transition. West of the ridge,
the oceanic crust is about 3 km-thick but it thickens oceanward
to 7 km. The ridge is thus shown to cap a ~ 60-km-wide lens-shaped
serpentinized peridotite body underlying both thinned continental
and thin oceanic crust 27.
The structural interpretation of line IAM11 shown in Fig. 7b
includes constraints derived from both reflection and refraction
data. It demonstrates, for example, that the Moho is displayed
continuously in the reflection data in the eastern part of the
profile but can be deduced, at the base of the serpentinized peridotite
body, only from the refraction data because the velocity contrast
beneath the body is too weak to be detected as a reflector.
In the next decade, important advances in understanding the formation
of continental margins and of the oceanic crust will depend on
increasingly better information of the type illustrated by the
data acquired along the IAM11 line.


Seismic Equipment of European Research Institutions
MCS Systems. Most of the main oceanographic
countries in Europe have operated deep water MCS systems for ten
years or more and continue to do so: France, Germany, the UK,
Spain and Norway (Table 1) and, until very recently, Italy.
| Table 1 - Technical characteristics of MCS systems presently used in European countries. The future evolution of the systems as indicated are either planned or are under discussion. Italy is not included in the table: the light University of Bologna system (2 GI guns of 7 l total volume, 600-m long analogue streamer), is used about 3 months/year; the R/V Explora (Osservatorio Geofisico Sperimentale), equipped with a 3000 to 4500 m long analogue streamer and a 80 l total volume air gun array, was decommissioned in 1998. AWI, Alfred Wegener Institute; BGR, Bundesanstalt für Geowissenschaften und Rohstoffe; NERC, Natural Environment Research Council; NRA, National Research Agency; Darwin, RSS Darwin; Disc., RSS Discovery; Hesper., R/V Hesperides; Polarst., R/V Polarstern; Ross, RSS James Clark Ross; Sonne, R/V Sonne. | ||||||
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14 GI Sodera 3
G Sodera 8 Bolt array of 48 l max. (3000
c.i.) at 20 s 140 bars |
20 air guns in 2 arrays 51,2 l (3125 c.i.)
134 bars |
8 air guns 24 l (1500 c.i.)
120 bars |
14 air guns max. 102 l max. (6400 c.i.)
140 bars |
7 air guns in 2 arrays 31 l (1930 c.i.)
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7 air guns in 1 array 32 l (1956 c.i.)
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2160 m3/h
portable |
Sonne 3470 m3/h
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Polarst. 1800 m3/h
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Darwin 630 m3/h Disc. 3790 m3/h Ross 2220 m3/h portable 630 m3/h |
Hesper. 630 m3/h
|
600 m3/h
portable |
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digital Sercel 360 channels 4500 m |
digital Syntron 120 channels 3000 m |
analogue
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analogue Teledyne 96 channels 2400 m |
analogue Teledyne
40508 96 channels 2400 m |
analogue Fjord
Instrum. 120 channels 3000 m |
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Sercel SEAL (SN 408) SEGD |
Syntron Syntrak 480MSRS SEGD |
Geometrics ES2420
SEGD |
Geometrics Strata
View RX96 SEGD(DAT) |
Texas Inst. DFS V
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Texas Inst. DFS V
SEGY |
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1999 | 1995 | 1994 | 1984/1998 | 1991/1994 | 1996 |
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3 months/yr | 4 months/yr | 3 months/yr | 1 month/yr | 1.5 month/yr | 0.7 month/yr |
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increase compressor air-capacity | increase streamer length and source | new streamer in 2000 upgrade source with GI guns | 1-2 months/yr increase in ship- time availability upgrade source | upgrade source | digital streamer? |
The seismic sources of all systems consist of air-gun arrays,
commonly used at a pressure of 140 bars. The arrays vary from
30 to 100 l in air-capacity. Some are filled only by portable
compressors able to deliver 600-2000 m3/h. The RSS Discovery and
R/V Sonne have large powerful built-in units (3790 and 3470 m3/h
respectively) and the RSS James Clark Ross (2220 m3/h), the R/V
Polarstern (1800 m3/h), the R/V Hesperides (630 m3/h) and the
R/V Darwin (630 m3/h) have complementary, built-in compressor
capabilities. Only the German BGR system, and since 1999, the
Ifremer system in France, are fully digital. Streamer lengths
vary between 2400 and 3000 m (96 to 120 channels with a 25-m group
interval) except for the new 4500 m Ifremer streamer (360 channels
with a 12.5 m group interval).
The total investment in MCS equipment in Europe is about 30 million
US dollars (about 4 to 5 M dollars for each of the 7 systems).
The average rate of utilization per system is about 2 (0.7 to
4) months a year, which reflects the interaction of demand and
logistical constraints (e.g. shiptime, technical teams, budgets).
Compared with the annual utilization rate of MCS equipment in
the US or Japan, the total for the European systems of about 15
months a year (with, in addition, about 12 months for mob/demob
time and for transits) represents a high overall effort.
The age of most of the MCS equipment in Europe is less than 10
years but the technology is at least 15 years old, except for
that of the German (BGR) and French (Ifremer) digital streamers.
No institution operates a seismic ship such as, until last year,
the Australian R/V Rig Seismic, or a semi-dedicated vessel specially
adapted for seismic work such as the 75 m R/V Maurice Ewing in
the United States or the 105 m R/V Karei in Japan, commissioned
in 1997 for use as a platform for seismic operations and the 11,000
m ROV "Kaiko". In France, the R/V Nadir is now fitted
out mainly for seismic cruises (MCS, Pasisar, etc.) but is near
the end of its natural life.
The new Ifremer system places it only a couple of steps behind
that of the R/V Ewing, the current, but not ultimate reference
for a research institutional sea going, single streamer seismic
facility. The R/V Ewing (a former industrial seismic ship), operated
by the Lamont-Doherty Earth Observatory and used primarily for
expeditions supported by the National Science Foundation, has
an excellent gun-array towing system and was re-equipped in 1997
with a 6-km long digital streamer (240 channels with 25-m group
interval, with varying group intervals down to 6.25 m), a 480
channel recording laboratory and a tuned array of 20 air guns
with a maximum total volume of 180 l.
In general, MCS data processing in Europe is carried out by individual
laboratories for their own purposes. Geomar (Kiel, Germany) runs
a high performance processing center partly funded by the European
Union (EU) and open to EU scientists.
OBS Pools. There is a long tradition in some research institutions in the use and development of sea floor recording instruments. Today, except for a pool of 30 OBHs, located at Geomar and presently co-funded by the EU for cooperative programs, OBS equipment in Europe is operated by approximately 10 individual geophysical groups in different countries who use OBSs for their own research programs. The total number of instruments has increased in recent years and now numbers over 100 of different make. Recent acquisitions have been mainly Cambridge or Geomar built instruments. Aside from the drawbacks of combining diverse types of instruments, the need for large numbers of OBSs for some experiments could be already at least partially met by collaboration among geophysical teams in Europe.
Combinations of Equipment and Ships. With a combination of the seismic equipment of two
nations (e.g. the Ifremer digital streamer and laboratory, a gun
array combining the sources of two countries and a British or
German ship with inboard compressors), the result would be a performant
2D MCS system except for streamer length. However, if another
country were to acquire a Sercel compatible digital streamer,
this could then be combined with the Ifremer streamer. In this
regard, it is worth noting that CGG (Compagnie Générale
de Géophysique), the mother company of Sercel has recently
acquired the Syntron company.
Extended multiple coverage and velocity structure could be obtained
by using two ships to shoot an identical profile with different
constant offsets 28. In this approach, which requires very precise
navigation, one ship would tow the Ifremer (4.5 km) streamer and
the other, say, the BGR (3 km) streamer, with each ship operating
an identical gun array drawn from existing equipment in, say,
France, Germany or the UK. With three passes over the same profile,
the resulting MCS profile would be equivalent to a profile obtained
using one ship and a single, 27-km long streamer. Such experiments
are ideal for addressing the problem of imaging structures below
volcanic and salt deposits and to characterize the velocity field
down to the upper mantle. Another way to get even longer range
information is to use as many as a hundred (or more) OBSs.
Research Programs
In addition to studies of their Atlantic
margins and in the Mediterranean Sea, European countries work
in all oceans. The UK, France and Germany, in particular, have
conducted, and conduct seismic cruises worldwide, including in
polar regions. The Alfred Wegener Institute system is specially
adapted, and used only, for work in ice infested areas 29. Spain
and Italy have concentrated their distant activity mostly around
Antarctica and in the south Pacific and Atlantic oceans. The overall
European effort has concerned oceanic crustal studies as well
as those of continental margins. Margin studies are the principal
vector in Europe today for getting support to update and improve
seismic facilities. Although objectives in studies of deep oceanic
basins and ridges are different to those in continental margin
research, the necessary seismic facilities are essentially the
same.
Ridge research in all the oceans has been stimulated during the
past 10 years by the existence of the US RIDGE program, the international
InterRidge program and the many national ridge programs in Europe
and around the world which liase with InterRidge. Results of the
recent, multi disciplinary work on ridges has emphasized the need
for seismic data and enable more educated selections of targets
than was previously possible. Future priorities are likely to
include a big experiment of the MELT type 21 on a slow-spreading
ridge and comparative studies of the 3D architecture of crustal
units at the segment scale.
The US "Margins" program, initiated in 1997, with an
emphasis on active processes, has been followed by national margins
programs in France and the UK. An international initiative, InterMargins,
a homologue of InterRidge, has been started, with Germany (Geomar)
as the first host country. A European Science Foundation network
"Ocean Margins" has been created. Furthermore, the recently
accelerated interest of petroleum companies in, for them, ultra-deep
(>1500 m) water renews opportunities for European research
institutions to work interactively with industry, as many did
before the early 80's when the oil companies curtailed their deep
water reconnaissance programs.
The margins initiative in France "Groupement de Recherche
Marges" (GDR Marges) brings together the principal research
institutions concerned (CNRS-INSU, Ifremer, BRGM and IRD (previously
ORSTOM)), together with IFP and partners from the petroleum industry
(Elf and Total-Fina). The GDR Marges supports projects of common
interest agreed on by the participating members. In addition,
sea-going collaborative actions between research institutions
and industry have recently been renewed. The most important of
these is the co-financed Ifremer-Elf, 3-4 year ZAIANGO project
concerning the west African continental margin. The project involves
a total of several months at sea and draws on a broad base of
Ifremer scientific expertise, facilities and instrumentation (multibeam
bathymetry and imagery, SAR (deep-tow) imagery, magnetics, gravimetry,
high and low frequency seismics with simultaneous use of OBSs,
the deep towed seismic recording package Pasisar, sediment coring,
heat flow measurements, investigations with the ROV Victor and
biological sampling, including traps moored on the sea floor).
In the UK, the new 5-year, multidisciplinary LINK program was
initiated with the purpose of improving knowledge of the geology
of ocean margins. The program is designed to encourage the UK
research community, in partnership with industry, to address challenges
in exploring for, and developing, deep-water oil fields and aims
to encourage industry and academic technological collaboration.
The Natural Environment Research Council (NERC), which will contribute
up to £4.5 M, and government departments will provide 50%
of the funding, with the other 50% to be provided by industry
in cash or kind.
In Norway, scientific collaboration has traditionally existed
between Norwegian universities, industry and the National Petroleum
Directorate (NPD), which supervises hydrocarbon exploitation.
This collaboration provides an efficient framework for the exploitation
of data acquired by the petroleum industry, or provided to the
Norwegian authorities by foreign companies working in the Norwegian
sector. A national program is now under consideration, reflecting
official encouragement to have an organized participation in InterMargins.
The ESF (European Science Foundation) sponsored network, "Ocean
Margins", created in 1999 and to run for 18-24 months, will
review the current situation of margins research in Europe with
a view to proposing a program of common interest to participating
European institutions. A principal focus is likely to be the deep
structure of selected conjugate margins of the Atlantic. Possible
sources of funding are the European Union's Framework Program
5 (EU-FP5), national funding agencies and the oil industry.
Shared Interests of Academia and Industry
In general, subjects of mutual interest
include (i) sedimentary architecture and dynamics (ii) fluid flow
and gas hydrates, (iii) the development of predictive models of
continental margin formation, which need to take in account relationships
between factors such as basement tectonics, the amount of crustal
thinning, the strength of the extended continental lithosphere,
the thermal effects of magmatism (underplating and intrusives)
and the flux of sediments.
Although the motivations of the petroleum industry in continental
margin exploration (deep water hydrocarbon production) and those
of research scientists (defining the structure and evolution of
the crust and deep basins) differ, many of the required data are
the same. For example, because temperature controls degree of
maturation and the viscosity of hydrocarbons, a good estimation
of the past temperature regime in time and space is needed in
order better to define source rock-maturation-migration-reservoir
systems. The development of realistic thermal models to constrain
temperature regimes depends on a better understanding of the mechanisms
of continental margin formation (and hence of deep structure),
which are first order questions in fundamental research. Another
example of convergence of interest in LF seismic work concerns
continental margins with volcanic sills or salt deposits within
the sedimentary column. These produce topographic complexities
and inversions of seismic velocities. Therefore, they act as seismic
screens over deep structures of interest to academic scientists
and over hydrocarbon source rocks and reservoirs of interest to
the oil industry. Penetration through the volcanic and salt layers
poses problems for the design of seismic experiments which research
institutions are well placed to address.
Continental margin segmentation is another subject of shared interest.
The origin of the segmentation, its relationship to pre-existing
zones of weakness and mantle dynamics and the implications of
segmentation in terms of the structure of the adjacent oceanic
lithosphere is of great interest to academic scientists. The significance
of the transition between volcanic and non-volcanic margin segments
is one example of unanswered questions. Transfer zones between
segments are of interest to industry because some major oil fields
are associated with them. Progress in this area requires dense
nets of MCS lines and ocean floor instruments; though being discussed,
no major experiments of this type have yet been undertaken by
research institutions.
Ships and Equipment: National and European
Approaches
The total investment represented by
the sum of the MCS equipment in Europe, the duplication of much
of this equipment and its aggregate use of approximately 1 year
per year (Table 1) suggests an opening for a vessel optimally
equipped to address front line problems concerning the deep structure
of continental margins and the oceanic crust.
Large MCS and refraction experiments pose the problem of support
vessels because of the size and weight of the material and other
operational constraints. A few ships in European research institutions
could well accommodate the necessary equipment, having big stern
desks and built-in compressors; none has an ideal gun-array towing
system. The presence of a fully equipped vessel in any one country
would, in principle, provide a basis for limited time sharing
under bilateral or other exchange agreements, or for access to
other European institutions through EU support for the use of
large facilities.
Another possibility is that of a European ship. This idea, evoked
periodically by European marine geophysicists and which we raised
again recently in at an exploratory ESF ocean margins workshop
in 1998, does not appear to find favor or be thought viable at
the present time.
Apart from questions concerning the technical and administrative
organization of such a project, a European ship, whose on-site
working time would be about 7-8 months a year, would imply new
money and/or impact on the sea going time for seismic research
in the participating countries. At least most European institutions
and nations currently operating MCS systems would likely want
to maintain and update them to meet requirements not covered by
limited access to a European vessel. These requirements vary from
country to country. They include medium penetration exploration
profiling and surveys in areas of particular interest, specific
projects involving surface ship and deep-towed equipment for high
resolution surveys, work in ice infested seas with adapted MCS
equipment and collaborative projects with industry or non European
countries. Furthermore, institutional and national seismic systems
are useful for testing and using new methodologies, techniques
and instruments (gun configurations and arrangements, hybrid or
fully deep towed systems and so forth) and, in some countries,
for training and for coastal management surveys, including in
co-operation with developing countries.
An alternative way to have access to a fully equipped seismic
ship is to go the chartering route. A single streamer commercial
vessel could be hired at about the same cost as that of operating
a standard multipurpose oceanographic vessel. For a seismic ship
with a 12 streamer 3D system, the daily rate is at least an order
of magnitude higher (a few hundred thousand dollars). The issue
of cost aside, there are also disadvantages. Objectives of research
institutions fall within only a small proportion of the geographical
operating sphere of industrial vessels and projects would have
to be mounted case by case, both logistically and financially,
unless the lease was an extended one. Furthermore, sub-contracting
does not particularly favor the development of an intellectual
infrastructure for seismic research, or readily allow for modification
of data acquisition modes or for the incorporation of innovative
technical developments. Nor would it readily enable Europe to
participate in big international experiments far afield.
Conclusions
Coupled with drilling, experimental
deep penetration marine seismic reflection and refraction investigations
(in an active phase at the present time) will, for the foreseeable
future, remain absolutely central to advancing knowledge about
the submarine lithosphere and overlying sediments. There are present
opportunities for European geophysicists to reset technical and
methodological objectives for achieving scientific goals.
Significant work can already be done with existing equipment in
some countries. The potential can be enhanced through joint projects
in which facilities (and in some cases ships) are combined. Mounting
and dismounting equipment from different institutions cruise by
cruise is not a formula for routine efficiency.
Taking into account the inseparability of policies concerning
ships, large equipment and logistical issues, operating specialized
or semi-specialized ships is worth discussing within the European
theater. A fully equipped ship with a first rate seismic system
for big experiments, as a complement to more routine national
facilities, would not necessarily have to be a single purpose
vessel. It could be, for example, a seismic and "station"
(e.g. ROV) ship for use in alternative modes. It could be operated
by a national agency, at least in the first instance, even if
it is co-funded by the EU.
Acknowledgments
Information concerning the technical
characteristics of MCS systems presently used in the European
countries and comments on a first version of the paper were kindly
provided by Paolo Berger (OGS Trieste, Italy), Angelo Camerlinghi
(OGS Trieste, Italy), José Diaz (CSIC, Barcelona, Spain),
Jacques Hervéou and Patrick Farcy (Ifremer, Brest, France),
Karl Hinz (BGR, Hannover, Germany), Wilfried Jokat (AWI, Bremerhaven,
Germany), Rob Larter (BAS, Cambridge, UK), Rolf Mjelde (Norway),
Ken Robertson (RVS, Southampton, UK), Robert Whitmarsh (SOC, Southampton,
UK) and Nevio Zitellini (University, Bologna, Italy). The IAM
11 MCS line was acquired through the Joule programme (IAM project).
The data were processed by Véronique Louvel and Hervé
Nouzé. Yann-Hervé De Roeck, Bruno Marsset and Jacques
Meunier provided figures relative to VHR seismic developments.
We thank Mike Coffin, chairman of the American Geophysical Union
session at the OTC 2000, for encouraging us to submit this paper,
an earlier, unpublished version of which was prepared following
the 1st "Assemblea Luso-Espanhola de Geodesia e Geofisica",
held in Almeria 9-13 February 1998. We are grateful to Vincent
Renard, David Roberts, Robert Whitmarsh and particularly to Félix
Avedik, for their constructive and critical suggestions.
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