The study area lies in Upper Egypt, between latitudes 23˚30'N to 24˚00'N and longitudes 33˚00'E to 33˚45'E. It covers about 3750 square kilometers. The study area lies in the
Figure 1.(a) Location map of the study area, (b) Geological map of the study area (after EGSMA, 1996).
many occurrences of economic ores.
The present study is carried out to evaluate the subsurface structures and tectonic framework of the basement rocks, and to analyze the different tectonic events that affected the area. The available magnetic data are reduced to the pole (RTP) aeromagnetic map (Figure 2). This map was prepared by the Western Geophysical Company of America for the Egyptian General Petroleum Corporation  . It was acquired at a flight elevation of 120 meters and flight line spacing of 1.0 km. The RTP aeromagnetic anomaly map is provided with a scale 1:50,000.
2. Geological Setting
Several pioneers have previously studied the geology of the area. Among those are;  -  .
From the geologic map (Figure 1(b)) which is reproduced after the Egyptian Geological Survey and Mining Authority  , we conclude that, the geology of the study area is made of a thick sedimentary section of Nubia Formation of Late Cretaceous age, that overly the Precambrian basement. The basement rocks are cropping out in some parts and near to earth’s surface in other parts of the study area.
The exposed basement rocks are including metamorphic and igneous units. The metamorphic rocks include the oldest deformed rock units in the area. The exposed igneous rocks in the study area are mostly of granitoid composition. Quaternary repre- sented by alluvial deposits covering the distributed wadies in the study area. The study area is affected by surface faults trending in the N-S, E-W, NW-SE and NE-SW directions.
Figure 2. RTP aeromagnitic map of the study area.
3. Magnetic Data Analysis
The Reduced to the pole aeromagnetic map of the area (Figure 2) has been digitized into rectangular grid format to be suitable for processing. Thereafter, and in order to assist in the delineation of structure and lithologic variations, a number of processing operations has been performed on the grid data using Fourier transform algorithms  to produce some enhanced by-products which include:
1) Filter techniques that include high, band and low-pass filters in order to recognize the shallow and deep sources responsible for the residual and regional fields.
2) Trend analysis were carried out on the RTP, residual and regional maps in order to define the major surface and subsurface tectonic trends that affect the study area.
3) Depth estimation was carried out for the major anomalies present on the RTP magnetic map through selected profiles crossing those anomalies, in order to delineate the structural relief of the basement surface and the structural deformation of the overlying sedimentary layers. The used methods for the depth estimation are Werner deconvolution, two and half dimensional modelling and Euler deconvolution methods.
3.1. Reduction to the Pole (RTP) Aeromagnetic Map
The inspection of the RTP aeromagnetic map (Figure 2) indicates that most of the magnetic anomalies trend in the NE-SW, NW-SE, N-S and E-W directions. This is due the effect of opening the Gulf of Suez,
The presence of N-S trends in the RTP aeromagnetic map is attributed to a limited and local tectonic force similar to that causing the north south direction of the River Nile to the west of the study area. Minor anomalies take the E-W trend and they can be attributed to the presence of lithofacies changes. The magnetic low anomalies at northeast and southwest parts of the map may be due to its relative deep depths or different rock polarities. The magnetic anomalies trends are correlated with the shallow geologic structures constructed by Hunting Geology and Geophysics LTD,  , (Figure 3).
The main target of filtering techniques is the separation of anomalies of different wavelength, which can be attributed to heterogeneity of magnetic properties at different depths (Spector, and Grant, 1970). In the present study the filtering technique developed by Zurflueh  were applied to the RTP magnetic data. Results are shown in Figure 4. High pass filter, band pass and low pass filtered data (with 2.7, 4 and 5.3 unit filter).
The anomalies of the residual filtered map have
Figure 3. Structural lineament map of the study area, (after Hunting Geology and Geophysics LTD 1967).
size anomalies with gentle gradients, and they have the E-W trend as major trend of the deep-seated structures.
4. Trend Analysis
To delineate the subsurface fault trends based on the theory of Grant & West  and on the Linsser technique  , the 1st horizontal gradient method was applied to RTP magnetic map. The peaks of the gradient curve were plotted along profiles covering that map and connected together to show the deduced structure lines. The different fault directions were then grouped into segments of 10˚ of azimuth each. These groups are represented according to the tectonic movements that prevailed in the studied area. The structures of the RTP aeromagnetic map were traced downward along the filtered aeromagnetic maps (Figure 5(a)). These structure trends were represented by rose diagrams (Figure 5(b)).
The results indicate that the most significant tectonic trend is the N-S, because it is in accordance with the River Nile direction to the west of the study area, followed by the E-W direction, it is also coincide with the direction of the faults at the western bank of the River Nile, as the famous Kalabsha fault which trends E-W. The E-W trend has been interpreted by Youssef  as an ancient fracture system resulting from a northern compressive force. Meshref  stated that the thrusting or uplifting of the African continent against the main block of the earth’s crust might have been the cause of the formation of the E-W (Mediterranean) trending swells and thrusts across the northern part of Africa continent, including Egypt. These trends are extended from deep depths to shallow surface rocks. The less significant directions are NW-SE (related to Gulf of
Figure 4. Filtered aeromagnetic maps: (a) High-pass filtered map, (b) Band-pass filtered map, and (c) Low-pass filtered map.
Suez and Red Sea tectonics), followed by (NE-SW) representing Syrian Arc trend, that related to the tectonic force extends form Syria in the north passes through dead sea and Jordon depression, Sinai, and ending at the Western Desert of Egypt (  -  ).
5. Depth Estimation
5.1. Werner Analysis Technique
Werner  method’s principle is to select a group of four or more measurements and to calculate the location of the magnetic body separately. When locations are plotted in cross sections, the depth estimates tend to cluster around the true location of the causative body. Ku and Sharp  considered a dike with infinite strike length and depth extent. This technique allows computing depths to the magnetic bodies with high efficiency. The depth to the basement as obtained from the RTP map (Figure 6) range from about 200 meters to about 1300 meters.
Figure 5. (a) Structural map as deduced from filtered aeromagnetic maps, (b) Rose diagrams show the prevailed tectonic trends of these structures.
5.2. Two and Half Dimensional Modelling Method
The two and half dimensional modelling method after Ku,  is applied to the RTP map of the study area. Computations of the magnetic effects by models with complex geometry have been carried out using the GM-SYS  computer program for arbitrary two-dimensional polygons. Several magnetic profiles were selected to perform such computations, covering most of the study area (Figure 2). It is obvious that the depth to the basement on the regional scale increases towards the north part of the study area. The average depth to the basement rocks ranges from 100 meters to about 1.3 Km (Figure 7 and Figure 8).
Moreover Table 1 shows the magnetic susceptibility deduced from the application of the two and half dimensions methods along the applied profiles.
5.3. Euler Deconvolution Method
The interpretation of structural elements specially fault zones from magnetic data is generally based on linear features identified on image-based products using colour and shaded relief presentations. It is often difficult to assess the degree of continuity of the specific structures and their relative contribution to the observed magnetic anomaly. The Euler deconvolution method  serves to determine source positions and the depths of the geomagnetic inhomogeneities.
Figure 6. Application of Werner deconvolution method along: (a) M1-M1’ and (b) M4-M4’ of the aeromagnetic maps.
Figure 7. 2.5 Dimensional magnetic model along A3-A3’ of the RTP magnetic map.
Figure 8. 2.5 Dimensional magnetic model along A1-A1’ of the RTP magnetic map.
Table 1. Magnetic susceptibilities deduced from the application of 2.5 dimensional modelling method.
This technique is applied to the grided data, which can measure the gradients, locate the square windows within the grids of gradient values and field, and locate the structural windows. The results are plotted in its plane (x, y) position using a symbol size proportional to depth z.
Euler deconvolution method was applied to the vertical gradient of the total magnetic field  &  along a set of profiles covering the RTP aeromagnetic map. The results show that the average depths range between 0 and about 1.4 km (Figure 9 and Figure 10).
6. Summary and Conclusions
1) The study area represents a part of the south
2) The most significant tectonic trend affecting the study area is N-S, which reflects the direction of the River Nile to the west of the study area. This tectonic trend is continued upward from the deeper depths to the shallow surface sedimentary rocks. The second in importance is the E-W trend, which is in accordance with the fault system present in the western bank of the River Nile, as Kalabsha famous fault. It is related to the
Figure 9. Application of Euler deconvolution along profile A3-A3’ to the aeromagnetic anomaly map.
Figure 10. Application of Euler deconvolution along profile D2-D2’ to the aeromagnetic anomaly map.
importance is the NW-SE, which reflects the orientation of the Gulf of Suez and the Red Sea fault system. This tectonic trend is continued upward from the deeper depths to the shallow depths sedimentary rocks. The less common trend is the NE-SW trend, which represents the intraplate fold belt of the Syrian Arc System in
3) Wadies in the study area seemed to take the trend of the regional structure of
4) Depth to the basement rocks computed using Werner, and Euler deconvolution methods indicates consistently a main depth to the basement ranging between 0 km and 1.4 km. The greatest depth is appearing in the northern part, wheras the shallow depths belong to the western and southern parts of the study area since the basement rocks are found near the earth’s surface or cropping out to the surface. On the other hand, the analysis of the 2.5-D model along a set of magnetic profiles across the different structural units indicates that the general dipping of the basement rocks is towards the northern part of the study area. The main depths to the basement rocks range between 0 km for the exposed basement rocks and 1.3 km for the buried units.
Finally, the results obtained from this study can be used as a guide to understand the structural framework of the area and for future mineral explorations.