GEOLOGICA CARPATHICA
, OCTOBER 2019, 70, 5, 373–385
doi: 10.2478/geoca-2019-0021
www.geologicacarpathica.com
Deep gravity data interpretation using seismic reflection
and well data: A case study of the West Gharib-Bakr area,
Eastern Desert, Egypt
AHMAD A. AZAB
Egyptian Petroleum Research Institute (EPRI), Ahmad Alzomor Str. 2, Alzohoor District, Nasr City, Cairo, Egypt; research@epri.Sci.eg
(Manuscript received June 27, 2018; accepted in revised form June 13, 2019)
Abstract: A rigorous processing and analysis of the gravity data with seismic reflection and borehole information
enabled a general view of the deep-seated regional structures in the West Gharib-Bakr area, Eastern Desert, Egypt. In this
context, several interpretational techniques were applied to learn more about the supra-basement structures and intra-
basement sources. The interpretation started with a review of the seismic data to clarify the structural elements on top of
the Miocene strata, where a number of isochronous reflection maps were constructed and had migrated into depth maps.
The Bouguer anomaly map was processed using Fast Fourier Transform filtering based on spectral analysis to separate
the gravity anomalies into its components. Gravity stripping was also performed under the seismic isopachs and density
controls. The gravity effect of each rock unit was calculated and progressively removed from the original data to obtain
a new gravity map on top of the Pre-Miocene. To ensure more reliable results, further filtering and analytical processes
were applied to the stripped map. The results of seismic analysis show simple structural configurations at the Miocene
level, with a significant increase of evaporite thickness along the Gulf of Suez coast. In contrast, analysis of the stripped
gravity map reveals a more intricate structure at the Pre-Miocene level, with increasing numbers/lengths of faults on
the basement surface. Lineament analysis shows two major peaks trending N0–20°W and N50–70°E, produced by two
main forces in NNW–SSE (compression) and ENE–WSW (tension) directions. The models confirmed a rough and
ruptured basement surface, with no evidence of any magmatic intrusions penetrating the sediments. The basement relief
map delineates five basins/sub-basins in the area which are separated from each other by ridges/saddles.
Keywords: West Bakr, Eastern Desert, Egypt, gravity stripping, applied geophysics.
Introduction
In deep basinal areas which contain excessive thickness of
evaporite (Evp) rocks, such as the Gulf of Suez (GOS) area,
the deep structural configurations are not clear enough. Seis-
mically, the reflection data has several difficulties and large
deficiencies at depths near the basement. The attenuation and
dispersion of the energy of waves within the Evp group lead to
the shortage of seismic data and bad events below the base
of the Evps. In addition, most of the seismic surveys were
acquired in the dip direction, which makes it difficult to deli-
neate locations of the transform faults. Gravitationally, this
may be attributed to the steepness of the GOS trend or to the
great gravity effect of the near-surface layers. The structural/
lithological variations of the Evps may create local anomalies
like those arisomg from the Pre-Miocene (PM) features.
All this may conceal the deeper sources and make it more dif-
ficult to determine locations of the uplifts and fault patterns.
To overcome this, an integrated interpretation was carried out
using all available geophysical data to disclose the hidden
source structures on or within basement rocks.
The work started with interpreting the seismic sections
through using the well logging information. The structural
analysis focused on the shallow features capping the tops of
the Miocene formations, where seismic lines seem to be very
good in the upper part but very bad in the lower portion.
The seismic interpretation is limited by the base of the evapo-
rites, with most basic structural interpretation next to impos-
sible. Therefore, the work has taken another way to interpret
the deep configurations depending on the Bouguer gravity
data. The interpretation is based on the fact that the gravity
anomalies can be regarded as superposition of the anomalies
reflected from the main density boundaries at varying depths.
This means that the gravity anomaly includes effects of both
shallow (residual) and deep (regional) constituents. Isolating
either of them may enhance the effect of the other. In this con-
text, two different enhancement procedures were applied to
the Bouguer anomaly map with evaluation of their effecti-
veness in characterizing the deep-seated sources/structures.
Firstly, the gravity filtering was performed using the Fast
Fourier Transform technique to separate the gravity anomalies
into residual and regional components. In fact, gravity filte-
ring results were insufficient to give details about the deep
configurations. Secondly, the layer stripping technique was
applied as a more reliable interpretation method, where gra-
vity, seismic and well data interpretation were integrated to
disclose the hidden potential sources. To do this, the gravity
effects of all shallow layers (Post-Miocene and Miocene rock
units) were calculated and subtracted from the Bouguer data.
The residue provides a stripped map on top of the PM that
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conforms more with the deep constituents. This approach
depends largely on the rock parameters, thickness and density
of each formation. The formation-density has been derived
from the drilled wells data, while the geometry of the forma-
tion was identified from the seismic isopach maps. Sub-
sequently the stripped map on top of the PM was subjected to
further analytical processes. The horizontal gradient filter and
Euler deconvolution method were applied on top of the PM
gravity map to map the main fault systems controlling the area.
The lineaments analysis was performed to define the structural
trends affecting the basic structure. A stress diagram and a strain
ellipse were constructed to explain the different tectonic forces
and associated shear fractures, which controlled the structural
setup. The gravity modelling was done before and after gra vity
stripping to confirm the shallower structures, and to deduce
the PM source structures. Finally, the source parameter ima-
ging method was applied to determine the approximate depths
of the basins and ridges, producing a map that more closely
resembles the geology than originally.
The potential data used is the Bouguer anomaly map con-
structed from the ground surface. Askania torsion balance was
used to construct a map with scale of 1:100,000 and contour
interval of 0.5–1 mGal, in 1976. The gravity survey was car-
ried out on the western coast of the GOS by Anglo Egyptian
Oilfield Ltd., for the Egyptian General Petroleum Corporation
(EGPC). The survey covers the area between Ras Bakr and
Ras El-Bahar on the western coast of the gulf. The seismic
data consists of fifteen seismic lines which was shot by
Geosource Limited, on sept.,1981 under the auspice of the
General Petroleum Company (GPC), for the (EGPC).
The aim of this work is to re-interpret all available geophy-
sical data, in terms of structural setting and tectonic fabric, to
shed light on deep source structures. The interpretation focuses
on the PM uplifts and cross-faults that may be helpful in loca-
ting deep prospecting. Some emphasis was also placed on
the distribution of basins and ridges in the area.
Structural considerations
The study area (Fig. 1) lies in the Eastern Desert along the
western coast of the GOS, in the middle between Suez city to
the north and Hurghada city to the south. It comprises several
onshore oilfields, which are confined between the GOS to
the east and Precambrian basement rocks of the Nubian to
the west.
Grouping of blocks or sets of blocks having the same direc-
tion of dip lead to subdivision of the GOS into three tectonic
provinces of contrasting dip attitudes, termed “Araba,
Belayim, and Amal” from north to south. Each province is
divided along major north-westerly trending faults into plates
that almost plunge in the same direction (Mostafa 1976;
Meshref 1990). The West Bakr oilfields lie in the central pro-
vince of GOS, namely the north-easterly plunging Belayim
province (Fig. 1) which is bounded from the north and south
by two major faults or “hinge zones” of a NE–SW trend.
This province was separated from the Amal province by
the “Morgan” hinge zone and from the Araba province by
the “Galala-Zenima” hinge zone. The structure and sedimen-
tology as well as the relationships between tectonics and sedi-
mentation in the active Suez-rift basin were studied by many
authors (e.g., Gupta et al. 1999; Young et al. 2002; Herkat &
Guiraud 2006; Khalil & McClay 2008; Pietrantonio 2016;
Rohais et al. 2016; Bosworth & Durocher 2017; Segev 2017;
Azab 2018).
The drillhole information in the study area indicates a thick
sedimentary section of the PM and younger rocks, unconfor-
mably overlying the basement complex (Ghanim 1972; Scotte
& Govean 1984). The sedimentary section comprises rocks of
Carboniferous, Cretaceous, Paleocene, Eocene, Miocene and
Pliocene-recent ages (Shabaan et al. 1984). The Miocene
rocks are the main source of oil-bearing rocks and they vary
from place to place. They are divided into lower clastic rocks
(Gharandal group) and upper evaporitic rocks (Ras Malsab
group). The Gharandal group includes the (Nukhul, Rudeis and
Kareem fms.) that underlie the Evps of the Ras Malaab group
(Belayim, South Gharib and Zeit fms.). The Evp rocks consist
mainly of anhydrite, gypsum, salt rocks intercalated with shale
and sandstone. The PM sediments are generally characterized
by a wide distribution and great thickness of the clastic rocks.
The crystalline basement rocks seem to be quite similar to
those cropping out to the west of the area (Mostafa 1992).
Previous works in the study area (Otsuka & Ogawa 1977;
Shabaan 1984) indicate that the west Gharib-Bakr area is
Fig. 1. Location map of West Gharib-Bakr area, with the oilfield con-
cessions (see Appendix for GPS coordinates of the wells).
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charac terized by thick layers of Evps that exist in Kareem to
Zeit fms. and act as sealing rocks. The Evp group shows large
lithological variations, and consists of anhydrite (high density)
and salt-halite (low density), contaminated with shale, sands,
lime (medium density). The percentage of these rocks vary
laterally/vertically and lead to significant changes in the bulk
density from one place to another. Generally, the density of
the Miocene Evps varies widely from 1.9 to 2.9 g/cm
3
, based
on the percentage of anhydrite compared to other sediments.
Seismic interpretation
The structural configuration in the study area was studied
through interpreting fifteen 2D seismic lines vibrated in the NW
and NE directions. These seismic sections were carefully inspec-
ted to detect the most reliable marker horizons. The available
well velocity survey of Hashem-1 (Miocene/TD 2909 m),
EPH-1X (Cenomanian/TD 2659.98 m) and EPG-1X (Nubia/
TD 2915 m), and their composite well logs were used to faci-
litate the identification of the real reflectors in the seismic
records. The strong/continuous reflectors on the tops of the
Evp layers were easily traced along the seismic lines. The sub-
surface geological identification was done through picking
and correlation of reflection times as well as fault detection.
Analysis of the seismic sections was limited by the base
Kareem Fm., which is the deepest horizon of seismic interpre-
tation. Accordingly, several isochronous reflection maps were
established through picking the two-way times (Fig. 2).
The average velocity and isochronous reflection maps on top
of the different formations were used to convert the reflection
times into depths. The structure contour maps in terms of depth
and faulting were also constructed on the tops of the Miocene
formations (Fig. 3). Close correlation between these maps
shows that the Miocene rocks are affected by a small number
of faults that increase in number and length with depth.
The faults run mainly in the NW–SE direction (GOS trend)
while the NE–SW cross-gulf faults are absent. In addition,
the isopach maps for post-Zeit, Zeit, South Gharib, Belayim
and Kareem were constructed from the grid-data of the depth
contour maps, whilst the isopach map for the Lower-Miocene
Rudeis Fm. is constructed based on the composite logs of the
drilled wells. The isopach maps indicate presence of a large
thickness of Evp sediments in the north-east part, while Lower-
Miocene Rudeis sands increase in a south-west direction.
Seismic profiling was established to show the lateral/verti-
cal subsurface distributions more clearly. A geoseismic section
BK-1039 (Fig. 4) is displayed as an example in the NE–SW
dip direction, constructed through transforming the seismic
reflection time into depth using the well velocity data.
Generally, the seismic line seems to be very good at shallow
depths where it shows strong reflections corresponding to
the high density/velocity Evps. Noticeably, the post-Evps/
Evps decrease in their thickness towards the south-west, and
significantly increase toward the north-east before dimini-
shing over the offshore ridge (Bakr-Gharib), a fact that was
verified by well data. The seismic line shows that a small num-
ber of short fractures cut across the Miocene strata. These nor-
mal faults have small throws and do not reach the surface
where the surface layer seems to be not entirely deformed.
As expected, seismic evidence is generally very poor at large
depths, where the continuity of the seismic events is markedly
bad beneath the Kareem Fm. There is no evidence to support
the presence of faults below the Miocene Evps. If they are
present, it is rather difficult to judge whether such bad events
relate to deep fault-structures or are due to lithological varia-
tions. Generally, seismic interpretation had failed to give any
exact information about locations, orientations, magnitudes or
throws of faults below the Evp rocks. Seismic reflection is
also ineffective for locating the PM high-structures, caused by
basement uplifts.
The seismic interpretation was confirmed by a SW–NE geo-
logical cross section AA’ (Fig. 5), which extends between four
wells drilled in the study area. The cross section shows a struc-
tural uplift at the EPH-1, EPG-1 and GN-1 wells, where the
thickness of the formations is reduced and the formation tops
have less depth. Eastward, the structure exhibits a real increase
in thickness of the sedimentary section alongside the GOS
coast, especially of the Miocene and Post-Miocene sediments.
This Miocene basin is bounded from the east by an uplifted
block (Bakr-ridge), where PM rocks are shallower at Bakr-2.
Westward, the basement rocks were buried under thick sec-
tions of the PM and Lower-Miocene sediments. The Miocene
layers were affected by a number of normal faults that extend
downward and are thought to be inherited from older
tectonics.
Fig. 2. Time-depth curve and velocity analysis of Hashem-1 Well.
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Gravity interpretation
The Bouguer anomaly map (Fig. 6) shows dominance of
the negative gravity values from −35 to −51 mGal all over
the area, which may reflect a relatively thick sedimentary
cover. The gravity field is largely variable from east to west,
which may be associated with large lithological/structural
variations in the subsurface. Qualitatively, the map contains
a number of strong anomalous features of different amplitudes
and sizes, running nearly parallel to the GOS trend. The high
and low gravity zones are separated from each other by steep
gradients, which strike in the north-west direction. Such high
gravity gradient zones were traced on the Bouguer anomaly
map by circles of Euler solutions, which tend to cluster along
geological boundaries. The linear structures are closely asso-
ciated with locations of major bounding faults, which divided
the area into a number of gravity zones of a north-west orien-
tation. Little or no solutions tend to cluster along the trans-
form-fault traces. Generally, the gravity maxima and gravity
minima are closely linked with the major structural features in
the area. For instance, the high gravity anomaly that exists
along the offshore part corresponds to the pre-existing horst
blocks extending from Amer to Gharib. The West Bakr oil-
fields (G, H, B and K) could also be correlated with high
anomalous features. Westward, the gravity low corresponds to
a broad sedimentary basin of “Khashaba low”, while the gra-
vity maximum in the south-western corner is related to base-
ment outcrop of the Nubian Massif.
To separate the gravity anomalies into their components,
the Fast Fourier Transform matched filtering technique based
on spectral analysis was applied to the Bouguer anomaly map.
The isolation method depends mainly on the slopes of the spec-
tral analysis curve, where the frequency ranges give the most
efficient estimation of the gravity anomalies to fit the deep and
shallow constituents. The separation using the energy spec-
trum of potential field data is highly advantageous over any
other known conventional method (Sadek 1984). The poten-
tial anomalies in the space domain are transformed into
Fig. 3. Structure-depth contour map: a — on top of Zeit Formation/top Miocene section; b — on top of Rudeis Formation/base of
Miocene-evaporites.
Fig. 4. Interpreted geoseismic line BK-1039 along NE–SW direction.
Fig. 5. Geological cross section A–A', taken in the NE–SW direction,
passing through EPH-1X, EPG-1X, GN-1 and E. Bakr-2 wells.
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frequency domain and the various parameters of anomaly
sources are derived from the characteristic properties of the
amplitude. Moreover, the spectral method provides the possi-
bility of doing depth measurement using gradients when no
anomalies are expressed in the profile. The theoretical assum-
ption was studied by many authors. Spector & Battacharyya
(1966) computed the energy spectrum and autocorrelation
function of FFT for the simple magnetic model. Spector
(1968) shows that the energy spectrum is greatly affected by
surface highs above the basement, the greater the high the lon-
ger the wavelengths. The anomalies and autocorrelation func-
tions associated with simple 2-D (two-dimensional) and 3-D
(three dimensional) magnetic and gravity models were subse-
quently transformed mathematically to the frequency domain
by Spector & Bhattacharyya (1966). Spector & Grant (1970)
reported some undesired effects on the calculations of the
energy spectrum which derive from processes of digitization,
quality and density of data. Dimri (1992) and Blakely (1995)
estimated the mean depth of the interfaces considering the log
of power of the Bouguer gravity spectrum as a function of
wavenumber/frequency assuming uncorrelated distribution of
sources (Spector & Grant 1970) or scaling nature of sources
(Pilkington et al. 1994; Maus & Dimri 1994, 1995, 1996).
Isolation of the gravity anomalies was carried out using
Geosoft 2007 software and the results are shown in Figure 7a.
Two linear segments of the energy decay curve with distin-
guishable slopes were used to isolate the regional and residual
components, where the regional effects are evident at larger
wavelengths and the shallow/local effects are evident in short
wavelengths. Accordingly, the energy spectrum curve invol-
ves two parts: a very steep part at low wavenumbers (0 km
−1-
< wavenumber < 0.230 km
−1
) and a less steep part at high
wavenumbers (0.230 km
−1
< wavenumber < 1.400 km
−1
).
The depth can be estimated by
where: (h) is depth;
(s) is slope of log (energy) spectrum. Accordingly, the slope of
the line fitted to the upper part of the spectrum curve is used to
estimate the average depth of deep sources (~24 km), and the
average depth to shallow sources (~4.5 km). The frequency
bands related to the regional and residual gravity components
on the energy spectrum were used through the band-pass fil-
tering. By bandpass, all wavenumbers between limited values
would be saved or passed while the rest would be cut, so that
the bandpass filter passes frequencies within a certain range
while rejecting frequencies outside this range.
The high-pass gravity map (Fig. 7b) shows a set of sharp
anomalous zones which are closely correlated with the shallow
components. The residual gravity field reveals improvements
of the gravity anomalies linked with near-surface con stituents,
but still lack details about deep-seated constituents. Thus, it is
Fig. 6. Bouguer anomaly map of the study area overlapped with
the Euler deconvolution solutions (SI = 0, window size = 10).
Fig. 7. a — Power spectrum of the Bouguer anomaly map, with two
linear segments of the energy decay curve with distinguishable slopes.
b — High-Pass filtered map of the Bouguer gravity data at the high
frequency and short wavelength range (230 cycle/km < wavenumber
<1400 cycle/km).
h = − s / 4π
a
b
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found that the filtered map does not meet the requirements for
studying the deep source structures.
Combined gravity–seismic interpretation
In fact, both seismic and gravity interpretations are unable
to reflect the deep causative source bodies due to strong
shielding of the evaporitic rocks. The large thickness of
Miocene Evps inhibits even the strong seismic energy to
refract into the deeper horizons. Likewise, gravity anomalies
are very sensitive to the thickness/density variations of the
anhydrite-salt rocks. Consequently, it is deemed necessary to
use an integration of the gravity and seismic in combination
with well information to interpret deep source structures. This
was done through applying the gravity stripping technique
based on Hammer (1963) and Otsuka & Ogawa (1977).
The gravity stripping depends on computing the gravity effect
of a certain rock unit or time-rock unit defined by its thickness
and density, then subtracting the effect from the integrated
effect of the whole sedimentary section, as has been indicated
by the Bouguer anomaly map, to get the pre-unit effect, and so
on for the other units (Parker 1973). This requires an exact
knowledge of the rock properties (geometry and density) to
get good results.
The workable equation applied for each rock unit in the
sedi mentary succession is
where Δg
i
is the gravity effect of a certain rock unit in mGal;
G is the international gravitational constant (6.67 × 10
-8
cm
3
/g.s
2
);
Δρ is the density contrast between the formation density
and the basement density in g/cm
3
; H
i
is the unit thickness
in cm.
The depths to the upper and lower surfaces of each rock unit
have been seismically controlled. The thicknesses of the layers
were calculated through a number of seismic isopachs (thick-
ness-grids). The formation density was taken from the density
logs (gamma–gamma) for about eleven drilled wells, which
were checked and used to construct a set of density gradient
maps (Fig. 8). For every drilled well, the density log measure-
ments against each formation in the succession were ave raged
and used as a single value for that formation. Figure 9 is an
example for density information derived from the Bakr-2 and
Hashem-1 wells. They represent two different time intervals,
Bakr-2 Well displays densities of the PM section while
Hashem-1Well shows the densities of the Miocene section.
From the obtained thickness-grid and density-grid of each
rock unit, the gravity effect for every layer was calculated and
subtracted/removed from the observed data. The process was
repeated for all formations in the sequence from the surface to
the datum. In each case, two maps were obtained; the first map
represents the sum of gravity effects of all formations above
the datum. The second represents the gravity effect of the rock
units below the datum. At last, a stripped gravity map on top
Δg
i
= 2π G Δρ H
i
(1)
of PM was obtained which could be correlated with the
original.
Generally, the gravity effects of the Evp group are given by
The stripped gravity map on top of PM sequence can be
given by the relation
The above relations were applied using Surfer 13 Golden
Software where the outputs were calculated and contoured.
Figure 10a shows the sum of gravity effects due to sedimen-
tary section above the datum (surface layer, Miocene Evps and
Lower-Miocene clastics). The map is generally characterized
by a negative gravity effect (from −1 to −7 mGal), that
increases progressively from north-east to south-west.
Figure 10b presents the stripped gravity map on top of the PM
after removing the effects of the overlying formations from
the original data. The map shows the largest gravity effects
with negative values (from −20 to −49 mGal), which gra-
dually increase toward the south-east. This may reveal that
the gravity effect of the PM is the main source of negative
gravity present in the Bouguer map.
The correlation coefficient that measures and determines
the degree to which two variables are associated, was calcu-
lated between the gravity data before and after the stripping
process. The results in Table 1 shows a positive correlation
between the data of Bouguer and data for gravity effects on
top of the PM. Meanwhile it gives negative correlation versus
others, particularly against the Evp group (Fig. 11). The posi-
tive value may suggest that the deep causative sources have
the highest gravity effect, while the negative value may reflect
a gravity effect in the opposite direction. Accordingly, it could
be stated that, despite the large gravity effect of shallower
structures, the deeper sources are still the most effective.
The horizontal gradient method (Phillips 1998) was applied
on the stripped map (Fig. 10b) with the goal of revealing
the hidden faults. The horizontal gradient maxima delineate
the approximate locations, lengths and trends of the major
faults on/within the basement rocks. Figure 12a displays two
main trend patterns, cut cross the study area in the NNW
(Clysmic) and ENE (Syrian arc). Generally, the structure on
top of PM in Figure 12a shows dense fractures/faults if com-
pared with the Miocene structure in Figure 3. These linea-
ments were traced and statistically analysed (Affleck 1963) in
terms of number, length and direction to reveal the basic
tectonic trends. Figure 12b shows two major peaks in the
N0–30°W and N50–70°E directions. These two major peaks
demarcate two main fault systems (cross-faults) which are
predominant on the basement surface and divided the area into
segments. The structure suggests presence of a NE–SW tren-
ding shear fault zone, with a left-lateral displacement, in the
centre of the map.
Δg
evp
= 2π G ((
ρ
zeit
−
ρ
Bas
) h
zeit
+ (
ρ
SG
−
ρ
Bas
) h
SG
+
+ (
ρ
Bel
−
ρ
Bas
) h
Bel
+ (
ρ
kar
−
ρ
Bas
) h
kar
). (2)
Δg
strip
= Δg
Boug
−
(Δg
PM
+ Δg
MM
+
Δg
LM
). (3)
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Stress fields and proposed tectonic model
According to the trend analysis results shown in Figure 12b
an attempt was made to deduce the stresses and their possible
relations with the crustal deformation and plate motion which
affect the area (in-house software). Detected trends interpreted
from the gravity map after stripping were used in combination
with the idea of possible reorientation of stress (McKinstry
1953) to shed light on the direction and intensity of stresses
explaining the tectonism of the area. Figure 12c shows that
Precambrian basement is controlled by two different forces
acting on the region for long periods of time. The area was
subjected to a regional compressive stress in NNW direction,
contemporaneous with ENE extension force. The first
compressive stress is oriented N10°W. It is believed to be
associated with the collision between the African and European
plates. This principal axis of stress seems to have shifted
toward the west during different geological times, with a wide
azimuth of N0–30°W. Structurally, this stress force resulted in
two sets of primary and secondary shear fractures. The main
structural lines produced by the first stress force were formed
as primary shear fractures in a NNW–SSE direction. The ENE
folding/thrust faulting was also formed perpendicular to the
greatest principal axis of this type of stress force. Besides, the
N35°W (Clysmic) and N15°E (Aqaba) arose as secondary
strike-slip faults, where the angle between these two sets of
the sinistral and dextral fault systems is about 50° (Anderson
1951). The second force affected the area is the tensional
N85°E, which is attributed to the movement of the Arabian
plate relative to the Nubian Plate. The structural elements pro-
duced by this tectonic extension primarily take the form of the
N5°W Clysmic fault system. The N50–70°E trend is consi-
dered as a second order fault system produced by these exten-
sional forces. The rejuvenation of these tectonic trends during
different episodes may explain the high peak of N50–70°E.
The principal axis of this tensional force seems to have rotated
counter-clockwise. A reasonable model explaining the tecto-
nism in the GOS-Red Sea region was proposed by Bayoumi
(1983), to sketch the expected structural/tectonic development
during its geological history.
Deep structural elements
The Euler homogeneity relationship was used as an auto-
mated method to derive the plan location and depth estimation
of buried objects from the gridded-data. Euler’s homogeneity
equation relates the gravity field and its gradient components
Fig. 8. Formation density gradient map of the (a) Post-Miocene and Miocene evaporites, and (b) Lower-Miocene Rudeis sands.
Fig. 9. Density log of (a) Hashem-1 Well, and (b) Bakr-2 Well.
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to the location of the source with the degree of homogeneity
expressed as a structural index (SI; Thompson 1982).
The struc tural index is a measure of the rate of change with
distance of the field from the source (fall-off rate) and is
directly related to the source dimension. Depth and structural
index “solutions” provide information about the source of
anomalies. The advantage of the Euler Deconvolution (ED)
technique over other depth interpretation methods is that no
particular geological model is assumed, and can be directly
applied to large gridded data sets. The process reduces signifi-
cantly the time required for analysis of the data, it requires no
prior knowledge of the source of gravitation/magnetization
direction and assumes no particular interpretation model
(Barbosa et al. 1999; Hinze et al. 2013). The method can locate
or outline the confined sources, dykes and contacts with
remarkable accuracy (Reid et al. 1990). Marson & Klingele
(1993) applied it to gravity vertical gradients. Zhang et al.
(2000) applied it to gravity tensor gradient data. The Euler
deconvolution is used to confirm the modelling results,
because it is both a boundary finder and a depth estimator
(Reid et al. 2003).
The ED was applied to the stripped gravity map (Fig. 10b)
to deduce the major structural elements on top of the PM/
basement rocks. Herein, the structural insides of SI = 0 were
used to identify the rock boundaries and to estimate the depths
of their sources (Thompson 1982 and Reid et al.1990).
The calculation is running for window size (10) to obtain solu-
tions for different depths.
Figure 13 provides the best solution for the block-faults
with depths ranging from 0 to 4 km on top of the PM (without
depth of the overlying). The interpretation is based on the
linear solutions that mark the geological boundaries and divi-
ded the area into blocks. These linear features tend to occupy
zones of high gradients between anomalies. The distributions
and depths were identified using coloured circles, overlapped
on a shaded relief map. The white circles indicate shallow
depths while red circles locate deep faults. Generally, the map
reflects the complex structure on the basement surface through
a set of major faults that are bordering the main structural fea-
tures in the area. Most of these linear representations (major
faults) westerly-oriented in the NNW direction, parallel to the
axis of the GOS. The Clysmic trend is not a long-continuous
feature, but was dissected and displaced by faults oriented in
Fig. 10. Gravity effect of the sedimentary section: a — above the datum due to the Post-Miocene surface layer, Miocene evaporites and Lower
Miocene Rudeis sands; b — below the datum on top of Pre-Miocene.
Correl Coef between
Results
Boug /Pre-Miocene
0.34582
Boug /Rudeis
−0.10386
Boug /Evaporite
−0.33758
Boug /Post-Zeit
−0.03948
Table 1: Correlation coefficient results of different gravity effects
Fig. 11. Correlation coefficient between the gravity data before and
after stripping process.
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DEEP GRAVITY DATA OF THE WEST GHARIB-BAKR AREA, EASTERN DESERT, EGYPT
GEOLOGICA CARPATHICA
, 2019, 70, 5, 373–385
an ENE direction. Some circles may be poorly-clustered,
where there is no significant density contrast, while, the large
condensation of circles may be due to dipping faults at large
depths, or upward reactivation of these trends. Generally,
the fault trends interpreted from ED in Figure 13 agree with
those shown in Figure 12. In comparison with seismic results,
the structure on top of the PM (Fig. 13) is more complicated
than that at the Miocene level (Fig. 3).
Gravity modelling
The profile B–B’ was taken on the Bouguer anomaly map
(Fig. 6) and on the stripped map (Fig. 10b) cutting across the
central part in a SW–NE direction. The profile stretches for
about 35 km, passing through four drilled wells (EPH-1X,
EPG-1X, GN-1X, AMER-8) which are considered as controls
and start points. The sedimentary layers were modelled as 2D
units, where X-axis (strike-length) is long relative to Y-axis
(depth). The sedimentary sequence consists of three main
groups with different lithological characteristics; the post-Evps
(~2200 kg/m
3
); Evps (~2800 kg/m
3
); pre-Evps (~2540 kg/m
3
).
The rock parameters were constrained by the seismic isopachs
(geometry) and by information derived from boreholes (den-
sity). The basement density was found to be 2670 kg/m
3
,
where there is no magmatic intrusion in the area (Shabaan et
al. 1984). The modelling process was done using GM-sys,
included in the Oasis Montage Package (2007).
Figure 14a presents a model for the regional subsurface
structure (shallow and deep) before doing the stripping pro-
cess. The upper part shows a good fit between the calculated
and observed gravity profiles. The lower part exhibits great
changes in the depth to the basement from the west to east,
with a regional dip regime to the west. The basement surface
is uneven/rough and loaded by thick and thin sedimentary sec-
tions that conceal beneath it more complicated structures.
Generally, topography of the basement is in harmony with
gravity anomalies where the swells and troughs are correlated
with gravity maxima and minima, respectively. The model
exhibits two deep basinal areas in both sides, these are; the PM
basin to the west (Khashaba low) in parallel to the Nubian
Massif, and Miocene basin to the east (W. Bakr basin) along-
side the GOS. These two basins are correlated with low gra-
vity anomalies, and are separated from each other by a ridge- like
form (W. Bakr high). The structure exhibits a number of major
faults separating the main topographic features. These normal
faults arise on the basement surface, grow upwards into the
PM section and mostly disappear into Miocene formations.
Figure 14b presents a sketch of the modelled profile after
doing the gravity stripping. Here, the gravity effect due to the
upper part of sedimentary cover was neglected since densities
Fig. 12. a — Maxima of horizontal gradient magnitude of the stripped
gravity map on top of Pre-Miocene. b — Rose diagram of tectonic
trends as deduced from the stripped map on top of Pre-Miocene.
c — stress-strain diagram of the study area based on statistical trend
analysis.
Fig. 13. Euler deconvolution results on top of Pre-Miocene as deduced
from the stripped map.
382
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GEOLOGICA CARPATHICA
, 2019, 70, 5, 373–385
of the Miocene and Post-Miocene were found to be zero.
The removal of the gravity effect of the shallower portion
gives a chance to better model the deeper structures. The deep
source structures were deduced through matching the observed
and calculated profiles, after fixing the parameters of the upper
portion. The top of the PM was determined through four
drilled wells which act as control points, while basement sur-
face configurations were estimated by means of iterative fit-
ting. Generally, the model nearly shows the same structural
conclusion obtained previously with some modifications on
the basement surface. The pre-Evp section was divided into
two sections; the Lower-Miocene Rudies Fm. and PM
sequence (2440 kg/m
3
). The structure shows a noticeable
increase in number of faults on the basement surface more
than before. The Clysmic faults originate on top of the base-
ment and vanish into the Miocene before reaching the surface.
The structure exhibits the same two basinal areas present in
south-western part (Khashaba low) and north-eastern portion
(W. Bakr basin). The uplifted area between these two basins
(W. Bakr area) is characterized by the presence of three local
sub-basins separated from each other by saddles, which
corres pond to West Bakr fields (K, H, G and B).
Basement relief
Source Parameter Imaging (SPI) function was used here as
an easy and quick powerful technique for interpreting the
gravity data to calculate the approximate depths of gravity
sources. The SPI method utilizes the relationship between
source depths and the local wavenumber (k) of the observed
field, which can be estimated for any point within gridded-data
through the horizontal/vertical gradients. The method was
carried out to determine depth to causative sources, edge
locations, source geometries and density contrast in the area
(Nabighian et al 2005). One advantage of the SPI method is
that the depths to the sources can be displayed as an image,
which makes the task of interpreting the data significantly
easier. More elaborate description of the principle, theory,
application and formulation of the method are given elsewhere
(e.g., Thompson 1982; Roest et al. 1992; Nabighian & Hansen
2001, 2002; Fedi 2005, 2007; Nabighian et al. 2005; Reeves
2005).
Practically, the automatic calculations of source depths were
done by using the SPI software included in the Oasis Montage
Package 2007. The technique computes source parameters
from gridded data of the Bouguer anomaly map based on the
complex analytic signal, where depths can be estimated with-
out assumptions about the thickness of the source bodies.
The depths to the gravity sources was determined through
a number of pre-processed grids dx, dy, and dz which were
calculated and serve as inputs for SPI processing. The first
order derivative was adhered to remove the deep crustal effect
from the original data. The upward continuation for small
height was applied because the SPI is very sensitive to noise
and interface effect (Nabighian et al. 2005). However, the SPI
has the advantages that it produces a more complete set of
coherent solution points and is easier to use. The accuracy of
SPI is about ± 20 % in comparison with the real data from
boreholes (Roest et al. 1992).
The results of the depth estimation obtained from applica-
tion of the SPI method (Fig. 15) exhibits a rough basement
surface, with great variation in depth to basement rocks which
ranges between 2.25 and 5.75 km. The map delineates three
main basinal areas corresponding to the depressions of
“Khashaba” to the west, and the “W. Bakr” toward the north-
east, and “W. Gharib” to the south-east. These large basins
were separated from each other by a broad ridge (West Bakr-
Gharib ridge) of relatively low depth. Such basement uplift is
considered a focal point in trapping oil from the adjacent
basins. Moreover, three narrow sub-basins (Hoshia, Farag and
Arta) occupy the northern portion, and are separated from
each other by structural highs/saddles. All basins/ridges are
nearly trending in the north-west to south-east direction, paral-
lel to the GOS trend. For comparison, Figure 15b displays
the approximate depths to gravity sources as deduced from
the Bouguer anomaly map (i.e., before stripping). Generally,
the map exhibits nearly the same structural conclusion that
exists in the former map, but with less details. The disparity
between these two figures could be attributed to the gravity
effect of the near-surface constituents.
Discussion
The seismic lines interpretation has shown a lack of infor-
mation that comes from the deep subsurface section, while
exhibiting a strong reflection from the relatively shallow part.
This is logical since the high reflectivity of the Evps makes
it difficult to trace any reflections at large depths, where
Fig. 14. Gravity modeling along profile B–B' taken (a) before doing
layer-stripping on Bouguer anomaly map, and (b) after doing layer-
stripping on top of Pre-Miocene.
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DEEP GRAVITY DATA OF THE WEST GHARIB-BAKR AREA, EASTERN DESERT, EGYPT
GEOLOGICA CARPATHICA
, 2019, 70, 5, 373–385
the continuity of the seismic events became very bad beneath
the base of the Evps particularly in the north-eastern side
where the thickness of the Evps significantly increases toward
the GOS. Thus, the structural maps reveal few or no faults
penetrating the base of the Evps, which may be contrary to
the reality.
The study demonstrates how gravity interpretation can be
enhanced when integrated with seismic data and borehole
information in order to reveal the deep structural configura-
tions. The integrated interpretation has overcome the short-
coming of the filtering techniques and also seismic attenuation.
The crosschecks between the gravity, seismic and well logging
were worked out to eliminate ambiguity as well as non-unique-
ness of the gravity data interpretation.
The gravity anomalies are positively affected by the anhy-
drite of the Ras Malaab Group and/or dense limestone of
Gharandal group. Meanwhile, they are negatively influenced
by the low density halite/salt rocks, and by the Lower-Miocene
Rudeis sands. The non-linear distribution of the density with
depth makes most of the filtering methods, especially in space
domain, ambiguously interpreted when exploring the deep
prospects. So, it is found that the filtering methods applied in
this study are rather insufficient in delineating the deep struc-
tures/sources at the PM level, especially because seismic inter-
pretation is uncertain. The filtered maps provide primary
evidence for deep-seated bodies but add no details. This only
minimizes the effect of shallow bodies and somewhat enhances
the major features.
The correlation coefficient results are very variable with it
reaching the maximum (0.35) against the PM, while attaining
the minimum (−0.34) against the Evps. The positive correla-
tion suggests that most of the gravity is sourced in the deep-
seated components (PM). However, negative values confirm
that effects of these rock units act in reverse to reduce the total
gravity.
The horizontal gradient filter was able to disclose the deep
fracture systems affecting the area, which were confirmed
later by Euler deconvolution solutions that delineated loca-
tions of block-faults well. In contrast to the Miocene struc-
ture, the PM was ruptured by fractures mainly in the NNW and
ENE directions. Such cross-faults are definitely expected to
control hydrocarbon migration and accumulation at the PM
level, delineating new oilfields.
The statistical analysis of lineaments on top of the PM rocks
show that the area was affected by two tectonic trends oriented
in the N0–30°W and N50–70°E. These fracture systems are
believed to be associated with two stress phases; a compres-
sive phase (NNW–SSE) and an extension phase (ENE–WSW).
These two different tectonic forces are closely related to the
Tethyan plate tectonics. The first tectonic trend (NNW to NW)
is considered one of the oldest tectonic trends in Egypt
(Meshref 1990). The structural elements belonging to this tec-
tonic phase are believed to be predominant and most probably
developed in Precambrian compression. It was formed during
the Pan African orogeny, and rejuvenated during Tertiary–
Quaternary times due to active tensional movement of Arabia
relative to Africa (Brown & Coleman 1972). It is believed that
the ENE folding and thrust-faulting stage was primarily
formed in response to the compression force from the NNW–
SSE direction. They were developed and reactivated during
the Early to mid-Paleozoic (Caledonian cycle) by rift phases
resulting from the opening of the Paleo-Tethys under the in -
fluence of NE–SW directional tensional forces (Meshref 1990).
From the other side, the N50–70°E trend, which is genetically
related to the Syrian Arc trend, is believed to be one of the
Precambrian/Paleozoic tectonic trends that affect the Egyptian
basement and were probably reactivated with the progress of
Fig. 15. Basement relief map of the study area as deduced by source
parameters imaging (SPI): a — after gravity stripping; b — before
gravity stripping
384
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GEOLOGICA CARPATHICA
, 2019, 70, 5, 373–385
geological time (El-Emam 1990). The rejuvenation and inten-
sive deformation of this tectonic trend happened during the
Late Cretaceous, represented by the NE, ENE & E–W narrow
elongated domains of folds and faults (Sehim 1993).
In contrast to the seismic analysis, the modelling after gra-
vity stripping reveals complex structural features at the PM
level. The basement surface is uneven and contains swells,
troughs and block-faults, of different tilts and throws. The remo-
val of the gravity effects of the upper sedimentary layers, led
to the appearance of three gravity highs in the mid-area, which
are linked with three PM uplifts. It is reasonable to state that
the gravity high anomalies are closely related to basement
uplifts, while gravity lows are due to deep sources/structures
not shallower than 3 km.
The source parameter imaging method confirms that the
actual subsurface situation deduced from the stripped map is
not as simple as assumed by the Bouguer anomalies. The map
displays uneven topography of the subsurface with presence
of several basins and ridges at different depths, which are
associated with uplifted and down-faulted basement blocks.
The reversals along the sides of the basin-flank highs may give
the chance of discovering new oilfields on the PM level.
Conclusion
The results obtained from the different geophysical applica-
tions were integrated to give us a general view on the deep
source structures and shed more light on geological
conditions.
The seismic isopachs indicate that the thickness of the sur-
face layer gradually increases toward the GOS, Miocene Evps
increase excessively in the north-east direction, whereas the
Lower-Miocene Rudeis sands are well-developed in the south-
western part.
The study indicates that the structure on top of the PM is
much more complicated than that at the Miocene level.
The integrated interpretation has succeeded in delineating
several cross-faults on the basement surface which are diffi-
cult to see on the seismic sections. This indicates dominance
of the NNW-trending faults (Clysmic trend) which were
obliquely cut and displaced by ENE-trending faults (Syrian
Arc trend).
The structural inferences have depicted that faulting plays
the main role in complicating the geological setting of the
area. Lineament analysis delimits two fault systems of first
order magnitude oriented in the N0–30°W and N50–70°E
directions. These two major structural-tectonic trends are the
most widespread on the basement surface, and divide the area
into segments.
The stress-strain diagram assumes the area has been sub-
jected to two main cycles of tectonism during its geological
history; the N5°W compressional force and the N85°E ten-
sional force, producing two pairs of primary and secondary
fracture systems. The impact of such tectonic forces on the
basement surface may suggest that, although the principal
phase of opening of the GOS occurred in the Miocene age,
the forces that caused this opening are older.
The models confirm a simple structure at Miocene level in
contrast to a complex structure at the PM level. They demon-
strate a highly-fractured basement surface, overlain by a hete-
rogeneous sedimentary cover, with no indications of magmatic
intrusions penetrating into sediments. They indicate that base-
ment ridges are the source of gravity maxima while the PM
basins are the main source of gravity minima.
Acknowledgement: Author would like to express his gratitude
to three anonymous reviewers for their constructive reviews and
comments, as well as to Miroslav Bielik for editorial handling
and suggested improvements to the manuscript.
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Appendix
Well
Lat.
Long.
EPK-1x
28°21’43.3” N
32
°
55’21.9” E
EPJ-1x
28
°
22’17.9” N
32
°
52’49.8” E
Hashem-1
28
°
22’13.2” N
32
°
57’23.0” E
EPH-1x
28
°
25’21.4” N
32
°
51’42.8” E
EPG-1x
28
°
25’51.6” N
32
°
53’44.5” E
East Bakr 2
28
°
28’28.5” N
32
°
59’29.8” E
EPE-1x
28
°
29’23.2” N
32
°
53’44.7” E
EPD-1x
28
°
25’14.1” N
32
°
57’04.8” E
EGE 1
28
°
32’15.1” N
33
°
01’38.9” E
Amer 8
28
°
33’12.8” N
32
°
57’55.7” E
HH 83 1
28
°
36’36.8” N
32
°
56’50.1” E
HH 83 2
28
°
38’33.3” N
32
°
55’39.9” E