paper muhammad alwi dkk - seismic image enhancement using ssa bpi on stacked-delta reservoir -3
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8/18/2019 Paper Muhammad Alwi Dkk - Seismic Image Enhancement Using SSA BPI on Stacked-Delta Reservoir -3
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Joint Convention Balikpapan 2015
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5–8 October 2015
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Seismic Image Enhancement using Singular Spectrum Analysis (SSA) and Basis Pursuit
Inversion (BPI) on Stacked-deltaic Reservoir.
Case Study: TGA field, Onshore Brantas Block, North East Java Basin.
Muhammad Alwi1 , Rian Novico
1 , Khairul Ummah
2 , Mokhammad Puput Erlangga
2 , Dythia Prayudhatama
2
1 Lapindo Bratas, 2 Waviv Technologies
Abstract
One of the common challenges for seismic interpreters in Indonesia is dealing with below seismic resolution of
thin layers reservoir with limited data availability, like what we have encountered on some seismic lines in
Brantas Block onshore area, especially on TGA field. TGA reservoir type is thin layer sand-shale interbedded
which deposited in fluvial deltaic system. The original seismic lines have poor quality. Surface problems when
acquisition, tuning and gas effect are some of major factors. It contributes in making the seismic image blurry
and hard to be interpreted in detail. Consequently, it is difficult to delineate reservoir thickness laterally,
analyze seismic internal character and stratigraphy.
To overcome such challenges, we came with alternative solution that is by using Singular Spectrum Analysis
(SSA) as a precondition then continued by applying a sparse layer inversion technique using Basis Pursuit
Inversion (BPI) method to the original post-stack of the seismic lines. The result shows that SSA and BPI works
excellent to reconstruct the high frequency seismic that missing on the old section. Furthermore, the technique
gives a significant image improvement, enhances the lateral continuity and vertical resolution, and consequently
gives us a more confidence in interpretation.
INTRODUCTION
TGA gas field are located in onshore area of Brantas
Block, East Java Basin and administrative area of East
Java province of Indonesia. TGA field has 5
production wells and covered by 14 seismic lines
which has variety of vintage. Most of the seismic lines
have low-to-medium quality. The seismic quality in
the reservoir level (0-1500ms) is quite low, as it is
caused by surface problems when acquisition. There
are thin layer reservoirs, which are below seismic
resolution or tuning. The existing gas effect has also
contributed to reduce the high frequency content in the
seismic data. The obstacles are exaggerated by the factthat acquiring new and proper seismic data with higher
resolution has not been an option yet from economic
point of view. Moreover, the surface condition has
become high-dense population, which trigger social
problems; the biggest issue in recording seismic
operation.
As we know, naturally seismic data contains both of
coherent and incoherent noises. Coherent noises
usually have special frequency range but more
challenging than incoherent noise. Besides that, tuningand gas effect is another obstacle that commonly
happens on the thin layer deltaic reservoir. The other
factor that may happen in TGA field are the faulting
with short-displacement and facies changes that hardly
detected by the existing 2D seismic lines.
Considering the technical and non-technical problems,
we tried to come up with seismic enhancement
technique to optimize the data that we already have.
Along with some conventional reprocessing programs,
we are also strained to study directly to the seismic
enhancement processing. In this study we applied a
sparse layer inversion technique using Basis Pursuit
Inversion (BPI) method. Two key lines that exactly
lies on the center of TGA closure, line 168 (S-Ndirection) and line 322 (W-E direction), are the objects
of study in this paper. These lines are old vintages that
acquired on 1991 & 1992. The expected image
enhancement can help the interpreters to understand
the stratigraphy of the area.
GEOLOGY
The North East Java Basin covers an area of
approximately 50,000 km2 from Central Java eastward
across East Java, the East Java Sea, Madura island and
the Madura Straits (Figure-1). The present dayvolcanic arc is the most prominent surface geological
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feature of East Java. South of the volcanic arc
Miocene and Oligocene rocks crop out in the Southern
Mountains. North of the volcanic arc the surface
geology shows two major anti-formal features (the
Kendeng Zone and the Tuban Ridge) that haveoutcrops of Miocene to Pleistocene rocks. Holocene
alluvial sediments cover the remaining area.
The Brantas Block is located in the East Java Basin
which initially developed as a result of the north-
westward subduction of the Australian oceanic plate
below the Sunda continent during Late Cretaceous
time. A major extensional tectonic system prevailed
during Early Tertiary time caused by complex
interactions among the Australian, Eurasian and
Pacific plates. This created extensional graben systems
that trended approximately northeast-southwest,
shifting to an east-west direction further to the south.
Reservoir Description
TGA field consists of numerous volcanic clastic sands
ranging in depth from 600 feet to 3000 feet.
Information from sidewall cores, logs, DST’s, and
RFT’s indicate there are 7 zones with potential oil and
gas reserves. The reservoirs are volcanic clastic sand
classified as lithic arkoses or feldspathic litharenites.
Clay content is variable and is dominated by smectite.
The reservoirs are generally poorly cemented.
Figure-2 shows the East-West cross section andcorrelation of the TGA wells. In a total distance of 5
km a large number of reservoir units exist in all
existing wells. This picture shows that reservoir levels
have good correlation between the wells. Faults are
indicated to exist and segmented TGA structure into
four segments. This segmentation will be discussed
later in the fault modeling section below.
Based on this correlation, it is believed that most
reservoir levels are widespread throughout the area.
Paleo-environmental correlation of the main reservoirs
F-10 and G-10 between TGA and the adjacent fields,
namely Carat and Wunut indicate that the reservoirswere deposited in the transitional environment (upper
to lower deltaic plain).
Depositional Model and Trap Description
The Pucangan Formation in TGA is volcanic clastic
sand, consisting of volcanic sandstone with some part
of volcanic lithic fragment. The Pucangan is volcanic
detrital in nature; some of the grains are loosely
cemented together (friable) and some are tight. The
volcanic sands are product of the old Arjuna arc in the
southern part of TGA that was deposited in the marine
environment or possible outer littoral environment.
This was indicated by the foraminifera which are
present in most sample analyzed in cutting and side
sidewall core samples of TGA wells. The shallow
sections of TGA (E to B reservoirs) are shallow
marine to inter-tidal channel.
In TGA, most of the rock is fine to coarse grained, and
moderately to well sorted with variable detrital
volcanic rock fragment (andesite). Most of the matrix
of sand consist of feldspar and heavy mineral like
magnetite, hornblende and augite with volcanic lithic
deposited under a deltaic channel setting. The trap
TGA structure is a four way dip closure with structural
trap mechanism for the B to E reservoirs and
stratigraphic trap mechanism for the F and G
reservoirs.
METHODOLOGY
In this study, we applied a combination of two
methods to the data. First, we applied a Singular
Spectrum Analysis (SSA) as data preconditioning to
enhance the S/N ratio and give better input for the next
process. Second, we applied Basis Pursuit Inversion
(BPI) to increase vertical resolution.
Singular Spectrum Analysis
Singular spectrum analysis (SSA) is a method utilized
for the analysis of time series arising from dynamical
systems. The method is used to capture oscillationsfrom a given time series via the analysis of the
eigenspectra of the so-called trajectory matrix. The
trajectory matrix is composed of multiple data views.
The singular value decomposition (SVD) of the
trajectory matrix can be used for rank reduction and
noise elimination. We apply SSA in the FX domain
and present a comparison with classical FX
deconvolution. The algorithm arising from SSA
analysis is equivalent to Cadzow FX noise attenuation,
a method recently proposed by Trickett (2008). It is
important to stress, however, that Cadzow filtering is a
general framework for noise reduction of signals and
images. Cadzow filtering is equivalent to SSA when
considering sinusoidal waveforms immersed in
additive random noise. The intention of this abstract is
to provide a simple explanation of the basic
assumptions made in SSA and its application to the
modeling of plane waves (Sacchi, 2009).
Basis Pursuit Inversion
Basis Pursuit Inversion (BPI) can be thought as an
inversion strategy which utilizes the key that any local
earth impedance structure can be represented by
superposition of a limited number of layers, and thus,
the seismogram can be represented locally as the
superposition of a limited number of layer responses
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8/18/2019 Paper Muhammad Alwi Dkk - Seismic Image Enhancement Using SSA BPI on Stacked-Delta Reservoir -3
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PROCEEDINGS
Joint Convention Balikpapan 2015
HAGI-IAGI-IAFMI-IATMI
5–8 October 2015
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as well (Chen, 2001; Zhang, 2008; Zhang, 2011). The
resulted inversion would then assume a low number of
layers that can be parameterized to resolve thinner
layers. In our study, we improve the BPI algorithm by
optimizing the searching process for the most suitableregularization parameter (! ) in order to obtain
optimum inverted reflectivity results with maximum
noise suppression. General algorithm of BPI relies on
the convolution model of seismic trace:
d = Gm + n, (1)
where d is the seismic trace, G is a dictionary of time-
shifted pre-defined seismic responses, and m are the
weights for these responses that result from
minimizing the objective function:
(2)
where the subscripts refer to the L2 and L1 norms,
respectively, and ! is a regularization parameter that
controls the sparsity of the solution. Basis pursuit
algorithm is used here to find the minimal L1 norm
least square solution by finding the solution that
minimizes the objective function in equation 2.
BPI requires a series of symmetrical and asymmetrical
layer reflectivity pairs over a pre-defined range ofthicknesses to be constructed. The dictionary of
seismic layer responses, G, is then produced by
convolving the series of symmetrical and
asymmetrical layer reflectivity pairs with the seismic
model. If top and base reflectors of a thin bed have
reflection coefficients of c and d , the reflections can be
represented as two impulse functions c!(t) and
d !(t+n"t) where n"t is time thickness of the thin bed
and "t is the seismic sample rate. The reflector pair
can be further decomposed, using dipole
decomposition (Puryear and Castagna, 2008), into
unique odd and even pairs given by equation 3 (Zhang,
2011).
(3)
The entire reflectivity series is represented as a
summation of layer reflectivities:
(4)
where m is the layer number and M is the total number
of layers. Seismogram equation is obtained when
seismic wavelet is convolved on both sides of equation
4:
(5)
where W e and W o are seismic responses constituting G.
Basis pursuit algorithm is used then as a linear
equation to solve for the coefficients an,m and bn,m in
equation 5, and the results can be substituted to obtain
the final reflectivity inversion, so called BPI
reflectivity, given by equation 4.
Original Post-stack Section
Two original lines, PSTM Stack of 168 & 322, are
used as input data in this work. These lines are
primary lines that lays through the existing wells. Both
of this original lines are product of conventional
processing. The quality of the lines as shown on
Figure-3 is defined as low-to-medium quality. These
sections cannot show a detail layers in the reservoir
target zone as we identify from log data. Some parts
are blurry and low lateral continuity reflector. Since
the poor of quality input, it is a good opportunity for
SSA & BPI to show how much improvement can be
achieved.
RESULT AND DISCUSSION
This work conducted in two main steps. First, data
preconditioning using SSA technique and then
continued with BPI method for seismic enhancement.
To get the best of BPI, preconditioning data is a
necessity to avoid inversion of noises. As we know,
BPI works without any well involved and calculates
independently for each trace to predict high frequency
content. Figure-5 and Figure-6 show us thecomparison between original section, SSA result and
BPI result of line 168 and 322.
Both of the lines shows that frequency dominant
spectrum of original line is around 10-70 Hz. SSA
sections that is applied as precondition to increase S/N
ratio of original lines also have the same frequency
with the original one. For BPI lines, the frequency
spectrum is gained up at high frequency and extended
to 125 Hz. In addition, BPI also gains the low
frequency part. The original product of BPI containshigher resolution data, as shown in the amplitude
frequency spectrum. Unfortunately for this data, some
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8/18/2019 Paper Muhammad Alwi Dkk - Seismic Image Enhancement Using SSA BPI on Stacked-Delta Reservoir -3
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PROCEEDINGS
Joint Convention Balikpapan 2015
HAGI-IAGI-IAFMI-IATMI
5–8 October 2015
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of BPI’s new reflectors are quite small amplitude and
hardly visible. Therefore, some methods such as
automatic gain control (AGC) or amplitude
weightening cosine phase may be applied to help
provide a better visible image.
Wide Wiew
For wide view, we can see clearer image and higher
resolution as a result of SSA and BPI. The detail
becomes more visible after applying AGC. The SSA
and BPI together produced a significant increase to
the lateral continuity, as well as better layering and
gaining of the vertical resolution. Some seismic
features become more visible. For instance, in the line
168 (Figure-5) on the reservoir zone (from 200-1200ms), it shows a significant improvement. The
blurry area at 600 ms of the original section can be
reconstructed greatly by SSA and BPI. Some pinchout
pattern on 1100 ms and 1300 ms now can be displayed
clearer. Onlapping feature on 1700 ms also becomes
stronger, that we may interpret as a prograding pattern.
While for line 322 (Figure-6), the blurry part at time
1200 ms has the most notable improvements.
Ultimately, the continuity reflectors inside the blurry
zone are now more convenient to be interpreted.
Ant View
If we look more into detail, as shown in the Figure-4,
BPI's wiggle found to be sharper and slimmer
compared to the original traces and SSA. It brings us
an advantage; we now have a better quality image that
can be interpreted more precisely and with higher
confidence. If we analyze some traces which close to
the well, it is shown that BPI delivers reflectors which
have good match to lithology marker from well.
Without side lobes, BPI reflectors can be easily to tied
up to the well marker. We try to visualize interpreted
trace section (right) using similar color to GR-log. It
shows that most of lithology or facies that represented
with different color in GR-log can be identified much
more convenient than by using the original section.
Notice that almost of all of lithology boundaries from
well now has its reflector on seismic. Moreover, it has
a very good lateral continuation on traces. The BPI’s
reflectors which are sharper than original can help the
interpreters to be more confident defines the thickness
of each reservoir layers precisely. In other words, BPI
has lessened the ambiguity and increased the
consistency of seismic interpretation. Hence, using
BPI image we can estimate the reserve more
accurately.
Wavelet Issue
Similar to other inversion technique, wavelet is always
an essential issue. Phase and frequency dominant in
the wavelet are variables that can affect to the
inversion result. In BPI works, wavelet has crucial
rules. The information of original line we give to the
BPI algorithm is all carried on by the wavelet. Thus,
wavelet time variant extraction from seismic should be
ensuring very careful. Wavelet has to be extracted
from the interest zone and should be low noise ratio.
In this research we went through a priceless
experience, that is when we used wrong wavelet andended up with a new section produced by BPI which
quite different from the original. Besides the
enhancement of the resolution, using wrong wavelet in
BPI will produces artifact reflectors in unexpected
zone, while removes some confirmed reflectors. From
that experience, we found that BPI is very sensitive to
time variant wavelet. We overcome this problem using
average wavelet from more traces, hence suppressing
the noise. The result becomes stable and consistent to
the well-log.
CONCLUSIONS
In our case, seismic enhancement works to the thin
layers stacking-delta reservoir using BPI method,
which is previously preconditioned by SSA. The result
shows a big improvement of seismic image quality.
Combination of SSA and BPI method can enhance the
reflectors consistency, lateral continuity and vertical
resolution. The workflow can also tackle the gas effect
through the data due to great amplitude enhancement
in the dimming reflektor zones. Inversion process can
predict and restore missing reflectors by reconstruct
high frequency spectrum, which is more correlable to
the lithology information from well. BPI also shows
its robustness to the presence of noise.
The BPI’s reflectors which are sharper than original
can help the interpreters to be more confident in
defining the thichkness of each reservoir layer
precisely. In other words, BPI has lessened the
ambiguity and increased consistency of seismic
interpretation.
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ACKNOWLEDGEMENTS
Authors would like to thank Lapindo Brantas Inc. for
permission to publish this paper.
REFFERENCES
Zhang, R., 2008, Seismic reflection inversion by basis
pursuit, Doctoral dissertation at University of
Houston.Mauricio D. Sacchi, 2009, FX Singular Spectrum
Analysis, CSPG CSEG CWLS Convention,
Calgary, Alberta, Canada.
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LIST OF FIGURES
Figure-1 Regional Geology of East Java Basin.
Figure-2 Wells correlation of TGA field.
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Figure-3 Original section of line 168 S-N (left) and line 322 W-E (right).
Figure-4 Comparison of logs, original seismic (left, 12 traces), SSA (center left, 12 traces), BPI (center right, 12
traces), and interpreted BPI (right, 24 traces). Interpreted BPI is a manual interpretation of lithology; facies color
is referred to GR-log color. Inserted curve (red bold) in seismic traces is GR-log.