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OTC 16945 True 3D Data-driven Multiple Removal ... - PGS

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<strong>OTC</strong> <strong>16945</strong><br />

<strong>True</strong> <strong>3D</strong> <strong>Data</strong>-<strong>driven</strong> <strong>Multiple</strong> <strong>Removal</strong>: Acquisition & Processing Solutions<br />

Roald van Borselen, Rob Hegge and Michel Schonewille / <strong>PGS</strong> Geophysical<br />

Copyright 2004, Offshore Technology Conference<br />

This paper was prepared for presentation at the Offshore Technology Conference held in<br />

Houston, Texas, U.S.A., 3–6 May 2004.<br />

This paper was selected for presentation by an <strong>OTC</strong> Program Committee following review of<br />

information contained in an abstract submitted by the author(s). Contents of the paper, as<br />

presented, have not been reviewed by the Offshore Technology Conference and are subject to<br />

correction by the author(s). The material, as presented, does not necessarily reflect any<br />

position of the Offshore Technology Conference or officers. Electronic reproduction,<br />

distribution, or storage of any part of this paper for commercial purposes without the written<br />

consent of the Offshore Technology Conference is prohibited. Permission to reproduce in print<br />

is restricted to an abstract of not more than 300 words; illustrations may not be copied. The<br />

abstract must contain conspicuous acknowledgment of where and by whom the paper was<br />

presented.<br />

Abstract<br />

This paper describes the issues and possible solutions involved<br />

in the application of <strong>3D</strong> data-<strong>driven</strong> multiple removal in a<br />

marine production environment. The optimization of marine<br />

data acquisition for <strong>3D</strong> SRME processing solutions is<br />

discussed. Secondly, the impact of marine data acquisition on<br />

the ability to predict <strong>3D</strong> multiples is analyzed. Results from a<br />

controlled modeling experiment indicate that a dense grid of<br />

saillines and streamers are beneficial to predicting the full <strong>3D</strong><br />

characteristics of the multiples. Thirdly, a three-step<br />

processing sequence is proposed to predict and remove <strong>3D</strong><br />

multiples for each sail line using only the recorded data around<br />

the output streamer. The proposed strategy does not rely on<br />

any a priori information or model of the subsurface to remove<br />

<strong>3D</strong> multiples. Finally, results for a field data set from the<br />

Norwegian Sea are shown. The application of <strong>3D</strong> SRME leads<br />

to results that could not be obtained using its 2D equivalent, or<br />

any other method.<br />

Introduction<br />

The removal of free-surface multiples from seismic reflection<br />

data remains an essential processing step before the<br />

application of prestack migration. Slowly decaying water layer<br />

multiples arising from a strong impedance contrast at the sea<br />

floor severely degrade the quality of the seismogram. In<br />

addition, peg legs are generated from structurally complex <strong>3D</strong><br />

sedimentary bodies to create a complex set of reverberations<br />

that can easily obscure weak primary reflections. In other<br />

areas, diffracted multiples from shallow point diffractors<br />

generate a ‘cloud’ of multiple energy masking underlying<br />

primaries. Over the years, many different methods have been<br />

developed to attack these problems; these may be subdivided<br />

into four major types:<br />

• Statistical methods, where assumptions on the statistical<br />

properties of the Earth’s impulse response are used to<br />

predict multiples.<br />

• Differential move-out methods, where primaries and<br />

multiples are assumed to have different move-out<br />

properties.<br />

• Model <strong>driven</strong> methods, where a priori information about<br />

the multiple-generating interface is used to predict<br />

multiples.<br />

• Surface-related multiple elimination methods (SRME),<br />

where the measured data itself are used to predict<br />

multiples.<br />

For many years, statistical methods (like predictive<br />

deconvolution), differential move-out methods (Radon, f-k<br />

methods), and model-<strong>driven</strong> methods (often based on prestack<br />

wave-field extrapolations using a model of the<br />

subsurface) have been able to attenuate multiple-energy<br />

successfully, and they will continue to do so. However, the<br />

reliability of the inherent assumptions and/or the accuracy of<br />

the user-provided a priori information, as well as the level of<br />

user-interaction required make these methods less suitable for<br />

true <strong>3D</strong> multiple removal.<br />

In recent years, surface-related multiple elimination (SRME)<br />

has gained the interest of the geophysical community,<br />

primarily for three reasons:<br />

• SRME provides a theoretically correct solution to the<br />

prediction of multiples, and can therefore take into<br />

account the full complexity of the earth;<br />

• SRME does not rely on any information about the<br />

subsurface, and only uses the data itself to predict and<br />

subtract multiples. As such, results are never biased<br />

towards any assumptions about the subsurface or to any a<br />

priori information provided by the user;<br />

• SRME does not rely extensively on user interaction. As it<br />

relies much more on compute times, SRME can fully<br />

benefit from increased computational efficiency obtained<br />

from advances in computer technology.<br />

In SRME production processing, the vast majority of all data<br />

sets have been processed assuming 2D geometries for each<br />

streamer. The first reason for this is the sheer demand on <strong>3D</strong><br />

marine acquisition geometries. A direct application of <strong>3D</strong><br />

SRME for a single source survey would require 80 streamers<br />

with 25-meter streamer spacing and a sail line spacing of 25<br />

meter, which is impractical for both technical and economic<br />

reasons. Secondly, the substantial increase in data volume and<br />

processing costs would prevent this method from becoming


2 <strong>OTC</strong><br />

economically viable. However, due to new insights in the<br />

optimization of data acquisition, increased computer<br />

performance, and a better understanding of the fundamental<br />

steps in the reconstruction of missing data, the industry is now<br />

moving rapidly towards applying the full <strong>3D</strong> implementation<br />

of SRME (see, for example, Hokstad and Sollie (2003), and<br />

Kleemeyer et al. (2003)).<br />

This paper presents an integrated strategy of the application of<br />

<strong>3D</strong> SRME in a production environment. In the first part,<br />

acquisition-related issues are discussed. It is shown how data<br />

can be acquired optimally for the prediction of <strong>3D</strong> multiples.<br />

Also, the impact of data acquisition on the ability to predict<br />

<strong>3D</strong> multiples using SRME is investigated. In the second part, a<br />

processing strategy is presented that can be applied to most <strong>3D</strong><br />

data sets. Finally, the proposed processing strategy is applied<br />

to a field data set from the Norwegian Sea.<br />

Acquisition design criteria for <strong>3D</strong> SRME<br />

To understand the impact of data acquisition on the ability to<br />

predict multiples, it is important to realize how multiples are<br />

predicted using SRME. Figure 1 shows how a typical freesurface<br />

multiple can be predicted by linking (adding) the<br />

raypaths of two events that are present in the measured data.<br />

This linkage is established through a convolution in time, and<br />

the actual position where the linkage takes place is called a<br />

‘multiple contribution’. Note that in order to establish the link,<br />

both source and receiver data must be available. To predict the<br />

multiple trace containing all free-surface multiples that belong<br />

to a source and receiver pair, all convolution results at all<br />

multiple-contribution locations have to be summed. In<br />

practice, after discretization of the wavefield, traces from a <strong>3D</strong><br />

common shot gather need to be convolved with all traces from<br />

a <strong>3D</strong> common receiver gather, and summed. For the correct<br />

prediction of <strong>3D</strong> multiples, the sampling of both the inline and<br />

crossline source and receiver locations needs to satisfy the<br />

Nyquist criteria. In addition, the aperture of the available data<br />

should be sufficient to include all relevant subsurface<br />

reflections, i.e. the Fresnel zone (Van Dedem et al, 2001).<br />

Figure 2 shows the ideal distribution of multiple contributions,<br />

where the aperture of the recorded data extends indefinitely. In<br />

practice, only a sparse distribution of multiple contributions in<br />

the crossline direction is obtained, as sources are only<br />

available on a sparse grid. In addition, only a limited crossline<br />

aperture is available due to the finite number of streamers<br />

used. It is remarked that the inline distribution of multiple<br />

contributions is, in general, sufficient.<br />

The key to the successful application of <strong>3D</strong> SRME is to<br />

maximize the number of multiple contributions in the crossline<br />

direction, to obtain a regular distribution of the multiple<br />

contributions, and to maximize the crossline distance<br />

(aperture) between the two outer multiple contributions.<br />

In marine data acquisition, the main factors controlling the<br />

crossline spatial characteristics of the survey are the<br />

• Number of streamers,<br />

• Streamer separation,<br />

• Sail line spacing,<br />

• Source configuration (single or dual source, and the<br />

spacing between two sources when shooting in dual<br />

source mode).<br />

Figure 3a shows a conventional 8-streamer dual source<br />

configuration, where the sailline spacing is such that<br />

midpoints are not overlapping in the crossline direction. For<br />

the source and receiver combination depicted, the available<br />

three crossline multiple contribution positions are shown. Only<br />

at the positions highlighted can raypaths be connected to<br />

predict the <strong>3D</strong> multiples. Note that changing the streamer<br />

spacing only affects the aperture between the two outer<br />

multiple contributions; it does not change the actual number of<br />

multiple contributions. In Figure 3b, it is shown how the<br />

number of multiple contributions increases when the number<br />

of streamers is increased while keeping the sailline spacing<br />

constant (streamer overlap). Note that, for this source and<br />

receiver combination, the additional two streamers on each<br />

side doubles the number of multiple contributions to six. Note<br />

also that the aperture between the multiple contributions has<br />

doubled as well. Figure 3c shows that by decreasing the sail<br />

line spacing by 50%, the number of multiple contributions can<br />

be increased further to eleven. Additionally, the aperture<br />

between the multiple contributions has increased slightly. As<br />

can be seen, the multiple contributions are now equally<br />

distributed over the aperure due to the additional intermediate<br />

saillines. Finally, in Figure 3d, it is shown how the number of<br />

multiple contributions changes when a single source<br />

configuration is used. Comparing this with Figure 3b (the<br />

same number of streamers and equal sailline spacing), a<br />

decrease in the number of multiple contributions is detected as<br />

the pairs of closely spaced contributions now have become<br />

single multiple contributions. However, it is noted that the<br />

distribution of the remaining contributions over the crossline<br />

aperture remains the same.<br />

Acquisition modeling<br />

To investigate the optimal acquisition geometry for the<br />

application of <strong>3D</strong> SRME, an acquisition modeling tool was<br />

developed.<br />

Figure 4 shows the output of a simple modeling tool that was<br />

designed to compute the relevant diagnostics for the four<br />

acquisition geometries shown in Fig. 3. For each of the<br />

geometries, the first bar shows the number of contributions for<br />

the acquisition geometry under consideration. In this<br />

calculation, all sources within a midpoint spacing from the<br />

receiver line are taken into account. The other bars display the<br />

number of double contributions (i.e. number of secondary<br />

sources that are covered more than once), and the maximum<br />

crossline offsets to both sides that are involved in the multiple<br />

prediction, expressed in number of streamer intervals. From<br />

Fig. 4, it can be seen that by increasing the number of<br />

streamers and by reducing the sailline spacing, the number of<br />

multiple contributions increases for all streamers, where the<br />

highest number of multiple contributions occur at the inner<br />

streamers. Note from Fig. 4d that, even with some subsurface<br />

overlap, single source configurations leads to the situation


<strong>OTC</strong> 3<br />

where only two multiple contributions are available to predict<br />

<strong>3D</strong> multiples for the outer streamers.<br />

It should be noted that for a sailline spacing larger than twice<br />

the streamer separation, the amount of contributions can be<br />

increased artificially by applying some lateral shifts. In this<br />

way, one source of a neighboring streamer will act as<br />

secondary source for the two closest streamers.<br />

It is also remarked that the findings are independent of the<br />

actual streamer spacing as long as the sail line spacing is an<br />

integer multiple of the streamer spacing to obtain a repeatable<br />

pattern. The number of contributions will remain the same;<br />

only the crossline offsets and aperture will change<br />

accordingly.<br />

Finally, for dual source configurations, increasing the spacing<br />

between two sources may lead to a significant increase in both<br />

the aperture and the number of multiple contributions.<br />

However, this only applies to the hypothetical (and extremely<br />

uneconomical) case where the streamer spacing equals the sail<br />

line spacing. By putting both sources on one side of the<br />

streamers, the number of multiple contributions is reduced<br />

considerably. The contributions become very non-symmetric,<br />

which will be non-ideal for any <strong>3D</strong> SRME implementation.<br />

The impact of acquisition on the prediction of <strong>3D</strong> multiples<br />

In this subsection, the impact of the distribution of multiple<br />

contributions on the ability to predict <strong>3D</strong> multiples is<br />

investigated. Because of the simplicity of the model used,<br />

insight is obtained in the general capabilities of interpolation<br />

and/or reconstruction methods to predict <strong>3D</strong> multiples when<br />

only sparse data are available.<br />

In this example, the subsurface model consists of one plane<br />

layer dipping 4 degrees in the crossline direction only. <strong>Data</strong><br />

were modeled for a dual source 16-streamer configuration<br />

with 50 meter streamer separation, with 200 meter and 400<br />

meter sailline separation respectively. Note that for this<br />

streamer configuration, 400 meter sail line spacing gives<br />

conventional sub-surface coverage with no duplication in the<br />

crossline direction. Figure 5a shows the ideal crossline<br />

multiple contribution gather for a source and receiver<br />

combination with 0 meter inline offset and 12.5 meter<br />

crossline offset. Figures 5b-c show, for the same source and<br />

receiver combination, the 7 and 3 crossline multiple<br />

contributions available for a 200 and 400 meter sailline<br />

separation respectively. Figure 6a shows a common shot<br />

gather for the inner streamer, and Fig. 6b shows the<br />

corresponding multiples, predicted using a 2D SRME<br />

approach. Figure 6c shows the ideal <strong>3D</strong> multiples, and Figs.<br />

6d-e show the reconstructed multiples from the 200 and the<br />

400 meter sailline configuration respectively. Note that for<br />

both configurations, the <strong>3D</strong> multiples were reconstructed<br />

satisfactory. Figures 7 and 8 shows the same results for the<br />

outer streamer. Note from Fig. 7b-c that the 5 contributions<br />

from the 200 meter sailline configuration (spaced at –362.5, –<br />

212.5, –162.5, –12.5 and 37.5 meters) are more equally<br />

distributed in the crossline direction than the 3 contributions<br />

from the 400 meter sailline configuation (spaced at –362.5, –<br />

12.5 and 37.5 meters). From Fig. 8b it can be seen that the 2D<br />

multiples are predicted too late in time. Also note that the<br />

results for the 200 meter sailline separation, shown in Figure<br />

8d, are significantly better then for the 400 meter separation<br />

shown in Figure 8e. This is due both to the increased number<br />

of contributions available (5 contributions for the 200 meter<br />

sailline separation versus 3 for the 400 meter separation), and<br />

the better distribution of the multiple contributions over the<br />

total aperture from the 200 meter configuration. However, for<br />

the data with 400 meter sailline separation, the second<br />

multiple is predicted much better than with 2D SRME, and<br />

although the wavelet of the first multiple is distorted, the<br />

timing is good. Therefore we would still expect <strong>3D</strong> SRME to<br />

perform better than 2D SRME, even for the outer streamer.<br />

Recommendations for acquisition<br />

In <strong>3D</strong> data-<strong>driven</strong> multiple removal, the multiple contributions<br />

(defined as locations where both receiver and source data are<br />

available) are the only data available to predict the <strong>3D</strong><br />

multiples. Hence, the distribution of multiple contributions<br />

will govern the quality of the final predicted <strong>3D</strong> multiple trace.<br />

Results from synthetic modeling indicate that a denser grid of<br />

multiple contributions leads to a better prediction of the <strong>3D</strong><br />

multiples.<br />

During marine acquisition, the distribution of the crossline<br />

multiple contributions can be optimized for the application of<br />

<strong>3D</strong> SRME by<br />

• Shooting overlap (by increasing the number of streamers<br />

while keeping the sailline spacing constant);<br />

• Decreasing the sailline spacing;<br />

• Keeping the sailline spacing an integer multiplication of<br />

the streamer spacing;<br />

• Increasing the spread length<br />

For a more complex subsurface, it is therefore recommended<br />

to create a dense grid of multiple contributions with sufficient<br />

aperture to reconstruct the full complexity of the <strong>3D</strong> multiples<br />

successfully.<br />

A processing strategy for <strong>3D</strong> SRME<br />

This section describes an efficient processing sequence to<br />

apply <strong>3D</strong> SRME in a production environment. A three-step<br />

sequence is proposed to predict and remove <strong>3D</strong> multiples for<br />

each sail line using only the recorded data around the output<br />

streamer. Even though the proposed sequence will benefit<br />

from any form of acquisition optimization, the strategy is<br />

designed to handle <strong>3D</strong> data sets that were acquired from<br />

conventional marine acquisition. The three steps involved are<br />

discussed in the following three subsections.<br />

Step 1: Pre-processing<br />

The pre-processing sequence starts with an analysis of the<br />

navigation data to investigate the positioning of the source and<br />

receivers. When irregularities (due to feathering and other<br />

positioning errors, such as drop-outs) are severe, wavefield<br />

regularization should be applied as part of the pre-processing<br />

sequence to position sources and receivers onto a regular pre-


4 <strong>OTC</strong><br />

defined grid. A data-<strong>driven</strong> regularization method, such as<br />

described in Schonewille et al. (2003) that uses the exact<br />

source- and receiver coordinates and allows for regularization<br />

to any user-defined grid is preferred. The proposed preprocessing<br />

sequence is very similar to the well-established<br />

pre-processing for the application of 2D SRME to marine data.<br />

The sequence includes: the removal of the direct wave and its<br />

surface reflection, the removal of non-physical noise and the<br />

directivity effects from source- and receiver arrays (optional),<br />

the recovery of missing shots and intermediate missing traces,<br />

shot interpolation (optional), and the extrapolation to zero<br />

offset of the inline component of the offsets. It is remarked<br />

that, after the optimal sequence and parameterizations have<br />

been found, all steps can be integrated into standardized flows<br />

to increase computational efficiency, and to minimize user<br />

interaction.<br />

Step 2: <strong>Multiple</strong> prediction through reconstruction in the<br />

crossline direction<br />

After pre-processing, the stacking of the multiple-contribution<br />

traces is carried out in two steps, first in the inline direction<br />

and secondly in the cross-line direction. Stacking of the<br />

multiple contribution traces in the inline direction is<br />

straightforward, as the sampling after pre-processing is<br />

sufficient. However, a direct Fresnel summation in the<br />

crossline direction leads to artifacts due to aliasing and<br />

insufficient aperture. Instead, the crossline summation is<br />

carried out implicitly through a reconstruction of the Fresnel<br />

zone, from a sparse-inversion based estimation of hyperbolic<br />

or parabolic events, with discrete curvatures and apex<br />

positions.<br />

In the literature, three methods for sparse-inversion based<br />

Fresnel zone reconstruction have been described: 1) using a<br />

time domain hyperbolic Radon transform (van Dedem and<br />

Verschuur, 2001); 2) using a frequency domain parabolic<br />

Radon transform (Hokstad and Sollie 2003); and 3)<br />

interpolation using Stolt migration operators (Trad, 2003). The<br />

time-domain approach has been shown to provide good results<br />

for <strong>3D</strong> SRME, but is rather expensive. The frequency domain<br />

approach is computationally much more efficient, and has<br />

been shown to provide a good uplift compared with 2D SRME<br />

(Hokstad, 2003). However, using the frequency domain<br />

approach, only sparseness in the spatial direction can be<br />

enforced (Cary 1998, Trad 2003). As a result, for more<br />

complex data with events at many different apex positions,<br />

results may not be as good as with the time-domain approach.<br />

Interpolation with Stolt operators can provide sparseness in<br />

both time and space. The basic algorithm is computationally<br />

very efficient, but shows artifacts. These artifacts can be<br />

reduced, but this does increase the computational costs<br />

somewhat. This is a relatively new technique, and the<br />

suitability for <strong>3D</strong> SRME is under further investigation.<br />

As the reconstruction has to be carried out for all source and<br />

receiver combinations, computational efficiency is vital for the<br />

economical viability of sparse-inversion based <strong>3D</strong> SRME. In<br />

this paper, an approach is used that is based on the standard<br />

time domain approach described by van Dedem and Verschuur<br />

(2001) but which is much more computationally efficient. The<br />

computational speedup has been achieved through more<br />

efficient sparse matrix computations in a modified conjugate<br />

gradient scheme, and a data <strong>driven</strong> reduction of the model<br />

space. The results are comparable to those from using the<br />

standard time domain approach, and show significant<br />

improvements over any 2D implementation.<br />

After stacking the multiple-contribution traces in the Fresnel<br />

zone, a single trace with the corresponding predicted multiples<br />

is obtained, which can be used in the last step: the adaptive<br />

subtraction of the predicted multiples from the input data.<br />

Step 3: Adaptive subtraction of predicted multiples<br />

In the last step, the predicted free-surface multiples are<br />

subtracted from the input data using the minimum energy<br />

criterion, which states that the total energy after subtraction of<br />

the multiples should be minimized. In adaptive subtraction<br />

techniques, the predicted multiples are removed using Wiener<br />

filters designed in overlapping windows. In general, great care<br />

must be taken in choosing the filter length and the window<br />

size. If the filter length is too long, it is possible to remove<br />

primaries. Also, choosing too small a design window may lead<br />

to primary energy being affected when multiples and primaries<br />

are interfering. In <strong>3D</strong> geometries, the application of 2D<br />

multiple prediction methods leads to multiples that are<br />

predicted too late in time. Using a <strong>3D</strong> prediction scheme, the<br />

timing of the predicted multiples is better aligned with the<br />

multiples in the input data, leading to better removal of<br />

multiples. The more accurate timing of the predicted multiples<br />

allows the use of more conservative parameters in the adaptive<br />

subtraction, giving better preservation of primary energy.<br />

Field data example from the Norwegian Sea<br />

In this section, results from a <strong>3D</strong> data set from the Norwegian<br />

Sea are shown. <strong>Data</strong> were shot in a dual-source 10-streamer<br />

configuration, with a 100 meter streamer separation and 500<br />

meter sailline separation. Results for a single offset line for<br />

one of the streamers have already been presented in Van<br />

Dedem and Verschuur (2001). Here, a total of 159 offset<br />

planes with a spacing of 12.5 meters were processed to allow<br />

further prestack processing after the application of <strong>3D</strong> SRME.<br />

Figure 9 shows the results for a typical shot gather. Figure 9a<br />

shows the input gather after pre-processing. Figure 9b-c show<br />

the predicted multiples after 2D and <strong>3D</strong> SRME respectively. A<br />

comparison indicates that, where the 2D multiples have all<br />

been predicted too late in time, the timing of the <strong>3D</strong> predicted<br />

multiples is almost perfect. Figures 9d-e show the results after<br />

adaptive subtraction using the 2D and <strong>3D</strong> predicted multiples<br />

respectively. It is remarked that a very mild adaptive<br />

subtraction approach was used in order to preserve the primary<br />

energy as much as possible. Note the much-improved removal<br />

of multiple-energy using the <strong>3D</strong> predicted multiples. As a<br />

result, the remaining primaries have become much more<br />

visible. Figure 10 shows the same comparison for an inline at<br />

stack level. Note again the difference in timing between the<br />

2D and <strong>3D</strong> predicted multiples, shown in Figs. 10b and c. As a<br />

result, after adaptive subtraction, the <strong>3D</strong> result compares<br />

favorably to the 2D results. Both the first-order water bottom<br />

multiple (between 1.0 and 1.2 second), and the reverberations


<strong>OTC</strong> 5<br />

off the elevated structure between 3 and 4 seconds have been<br />

removed well after <strong>3D</strong> SRME. Furthermore, the diffracted<br />

multiples that have been generated by shallow subsurface<br />

diffractors have been attenuated better using <strong>3D</strong> SRME.<br />

Conclusions<br />

The aim of <strong>3D</strong> data-<strong>driven</strong> multiple removal is to predict<br />

multiples by relying only on the measured data. To reconstruct<br />

the <strong>3D</strong> multiples, no subsurface model, or any other type of a<br />

priori information should be used that could possibly bias the<br />

results of the method. As the multiple contributions (defined<br />

as locations where both receiver and source data are available)<br />

are the only data available to predict the <strong>3D</strong> multiples, it is<br />

evident that the distribution of the multiple contributions will<br />

govern the quality of the final predicted <strong>3D</strong> multiple trace.<br />

In general, the inline wavefield sampling is sufficient and does<br />

not require any optimization for the application of <strong>3D</strong> SRME.<br />

The crossline distribution of multiple contributions however is<br />

often (extremely) sparse. By increasing the number of<br />

streamers per sail line, and by decreasing the sail line spacing<br />

the crossline distribution of multiple contributions can be<br />

optimized.<br />

For the prediction of complex multiples patterns, it is<br />

recommended to create a dense grid of multiple contributions<br />

with sufficient crossline aperture to reconstruct the full<br />

complexity of the <strong>3D</strong> multiples successfully, even though this<br />

may have some cost implications.<br />

Furthermore, a marine processing strategy for the application<br />

of <strong>3D</strong> SRME has been presented. The sequence consists of<br />

three steps: pre-processing of the <strong>3D</strong> data, prediction of<br />

multiples using a sparse-inversion based reconstruction<br />

method, and a (standard) adaptive subtraction of the <strong>3D</strong><br />

predicted multiples from the input data. The proposed strategy<br />

is designed to handle <strong>3D</strong> data sets that were acquired from<br />

both optimized and conventional marine acquisition.<br />

Application of <strong>3D</strong> SRME using the proposed sequence leads<br />

to good results that compare favourably to results obtained<br />

from 2D SRME, or any other method.<br />

Compute times, although still significantly higher than for 2D<br />

SRME, now justify consideration of <strong>3D</strong> SRME application in<br />

a production environment.<br />

68th Ann. Internat. Mtg. SEG, Exp. Abstracts.<br />

Hokstad, K., and Sollie, R., 2003. 3-D surface-related multiple<br />

elimination using parabolic sparse inversion: 73rd. Ann.<br />

Internat. Mtg. SEG. Exp. Abstracts.<br />

Kleemeyer, G., Pettersson, S.E., Eppenga, R., Haneveld, C.J.,<br />

Biersteker, J., and Den Ouden, R., 2003, It’s Magic, Industry<br />

First <strong>3D</strong> Surface <strong>Multiple</strong> Elimination and Pre-stack Depth<br />

Migration on Ormen Lange: 65 th Ann. Internat. Mtg. EAGE.<br />

Schonewille, M.A., Romijn, R., Duijndam, A.J.W. and<br />

Ongkiehong, L., 2003, A general reconstruction scheme for<br />

dominant azimuth <strong>3D</strong> seismic data: Geophysics, Soc. of Expl.<br />

Geophys., 68, 2092-2105.<br />

Trad D., 2003. Interpolation and multiple attenuation with<br />

migration operators: Geophysics 68, 2043-2054.<br />

Van Borselen, R.G. Schonewille M., and Hegge R., 2004. The<br />

impact of marine data acquisition on the prediction of<br />

multiples in <strong>3D</strong> SRME: 66 th Ann. Internat. Mtg. EAGE<br />

(submitted).<br />

Van Borselen, R.G. and Verschuur, D. J., 2003. Optimization<br />

of Marine <strong>Data</strong> Acquisition for the Application of <strong>3D</strong> SRME:<br />

74th Ann. Internat. Mtg. SEG, Exp. Abstracts.<br />

Van Dedem, E., and Verschuur, D., 2001. 3-D surface<br />

multiple prediction using sparse inversion: 71st Ann. Internat.<br />

Mtg. SEG, Exp. Abstracts.<br />

Acknowledgements<br />

The authors like to thank Eric Verschuur and Ewoud van<br />

Dedem from the DELPHI consortium for their contributions.<br />

Also, Peter van den Berg from Delft University is thanked for<br />

his contribution to this work. Finally, Dave King and David<br />

Hedgeland are thanked for their contributions and suggestions.<br />

References<br />

Berkhout A.J. and Verschuur D.J., Estimation of multiple<br />

scattering by iterative inversion, part 1: Theoretical<br />

considerations, Geophysics, 62, pp. 1586-1595.<br />

Cary, P.W., 1998. The simplest discrete Radon transform:


6 <strong>OTC</strong><br />

<strong>Multiple</strong> contribution<br />

↓<br />

↓ ↓<br />

Δ<br />

Δ<br />

Δ<br />

=<br />

-1 .<br />

∗<br />

Figure 1: <strong>Multiple</strong> prediction through linkage of raypaths.<br />

Figure 2: Ideal distribution of multiple contributions.<br />

Figure 3a: Conventional 8-streamer, dual source configuration.<br />

Figure 3b: 12-streamer with overlap, dual source configuration.<br />

Figure 3c: 12-streamer with overlap, dual source configuration<br />

and with reduced (halved) sailline spacing.<br />

Figure 3d: 12-streamer with overlap, single source configuration.


<strong>OTC</strong> 7<br />

800<br />

ysrc=-30 30 : nyrcv=8 : dyrcv=100 : dysail=400<br />

1000<br />

ysrc=-30 30 : nyrcv=12 : dyrcv=100 : dysail=400<br />

600<br />

800<br />

crossline location (m)<br />

400<br />

200<br />

0<br />

-200<br />

-400<br />

crossline location (m)<br />

600<br />

400<br />

200<br />

0<br />

-200<br />

-400<br />

-600<br />

-600<br />

-800<br />

-800<br />

-500 0 500 1000 1500 2000<br />

inline location (m)<br />

-1000<br />

-500 0 500 1000 1500 2000<br />

inline location (m)<br />

12<br />

12<br />

10<br />

10<br />

8<br />

8<br />

6<br />

6<br />

4<br />

4<br />

2<br />

2<br />

0<br />

0<br />

-2<br />

-2<br />

-4<br />

-6<br />

-8<br />

contributions<br />

double contributions<br />

max streamer offset<br />

min streamer offset<br />

1 2 3 4 5 6 7 8<br />

streamer number<br />

-4<br />

-6<br />

-8<br />

contributions<br />

double contributions<br />

max streamer offset<br />

min streamer offset<br />

1 2 3 4 5 6 7 8 9 10 11 12<br />

streamer number<br />

Figure 4a: Diagnostics for an 8-streamer, dual source<br />

configuration.<br />

Figure 4b: Diagnostics for a 12-streamer with overlap, dual source<br />

configuration.<br />

1500<br />

ysrc=-30 30 : nyrcv=12 : dyrcv=100 : dysail=200<br />

1000<br />

ysrc=1 : nyrcv=12 : dyrcv=100 : dysail=400<br />

800<br />

1000<br />

600<br />

crossline location (m)<br />

500<br />

0<br />

-500<br />

crossline location (m)<br />

400<br />

200<br />

0<br />

-200<br />

-400<br />

-1000<br />

-600<br />

-800<br />

-1500<br />

-1000 0 1000 2000 3000 4000<br />

inline location (m)<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

-2<br />

-4<br />

-6<br />

-8<br />

contributions<br />

double contributions<br />

max streamer offset<br />

min streamer offset<br />

1 2 3 4 5 6 7 8 9 10 11 12<br />

streamer number<br />

Figure 4c: Diagnostics for a 12-streamer with overlap, dual source<br />

configuration with reduced (halved) sailline spacing.<br />

-1000<br />

-500 0 500 1000 1500 2000<br />

inline location (m)<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

-2<br />

-4<br />

-6<br />

-8<br />

contributions<br />

double contributions<br />

max streamer offset<br />

min streamer offset<br />

1 2 3 4 5 6 7 8 9 10 11 12<br />

streamer number<br />

Figure 4d: Diagnostics for a 12-streamer with overlap, single<br />

source configuration.


8 <strong>OTC</strong><br />

a) b) c)<br />

Figure 5: a) Ideal crossline multiple contribution gather for a chosen source and receiver combination with zero<br />

inline offset and 25 crossline offset , b) the corresponding 7 available multiple contributions for an inner streamer<br />

from a 16-streamer, dual source configuration with 200 meter sailline separation, c) the corresponding 3 available<br />

multiple contributions for an inner streamer from a 16-streamer, dual source configuration with a 400 meter sailline<br />

separation.<br />

a) b) c) d) e)<br />

Figure 6: a) Shot gather from the inner streamer of a 16-streamer configuration, b) The predicted multiples from<br />

2D SRME, c) The ideal <strong>3D</strong> multiples, d) The reconstructed multiples from the 200 meter sailline separation<br />

configuration, e) The reconstructed multiples from the 400 meter sailline separation configuration.


<strong>OTC</strong> 9<br />

a) b)<br />

c)<br />

Figure 7: a) Ideal crossline multiple contribution gather for a chosen source and receiver combination with 0<br />

meter inline offset and 362.5 meter crossline offset , b) the corresponding 5 available multiple contributions<br />

for an outer streamer from a 16-streamer, dual source configuration with 200 meter sailline separation, c) the<br />

corresponding 3 available multiple contributions for an outer streamer from a 16-streamer, dual source<br />

configuration with a 400 meter sailline separation.<br />

a) b) c) d) e)<br />

Figure 8: a) Shot gather from the outer streamer of the same 16-streamer configuration, b) The predicted<br />

multiples from 2D SRME, c) The ideal <strong>3D</strong> multiples, d) The reconstructed multiples from the 200 meter sailline<br />

separation configuration, e) The reconstructed multiples from the 400 meter sailline separation configuration.


10 <strong>OTC</strong><br />

a) b) c) d e)<br />

Figure 9: a) Typical shot gather after pre-processing. b) Predicted multiples from 2D SRME. c) Predicted multiples using <strong>3D</strong> SRME.<br />

Note that the multiples are better aligned with the multiples in the input data. d) Same shot gather after subtraction of the 2D<br />

multiples. e) Shot gather after subtraction of the <strong>3D</strong> multiples. Note the better removal of multiples while preserving the primaries.<br />

a) b) c)<br />

Figure 10: a) Two zoomed sections of the stack after pre-processing. b) Zoomed stacks of the predicted multiples<br />

from 2D SRME. Note that the 2D multiples are predicted too late in time. c) Stacks of the predicted multiples using <strong>3D</strong><br />

SRME. Note that the <strong>3D</strong> multiples are better aligned with the multiples in the pre-processed data.


<strong>OTC</strong> 11<br />

d)<br />

e)<br />

Figure 10: d) Stacked section after prestack adaptive subtraction of the 2D multiples. Note that the<br />

first-order water bottom multiple, and the multiples off the elevated structure in the deeper section<br />

remain clearly visible. e) Stacked section after prestack subtraction of the <strong>3D</strong> multiples. Note the<br />

better removal of the water bottom multiple in the shallow section. Also, reverberations from the<br />

elevated structure in the deeper section have been removed better, as well as the diffracted multiples<br />

generated by shallow subsurface diffractors. The gathers shown in Figure 9 correspond to a CMP<br />

location of about 50.

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