Evidences by Multiscale Analysis and 2D3/4 Models from the Magnetic Anomalies and Iron Mineralization (BIF) over the DJADOM-ETA Area, Southeastern Cameroon

The Magnetic method is one of the best geophysical techniques used to delineate subsurface structures. This study was conducted to investigate the basement faulting and ore mineralization into the overlying geological cover. The GEOSOFT v8.4 software was used to process the data. Upward continuation of the residual magnetic intensity map at various altitudes and the maxima of their horizontal gradient magnetic were used to highlight faults from shallow to deep, as well as, their dips and mineralization zones. The faults with the directions E-W, ESE-WNW and ENE-WSW are identified con-firming the result of [1]. This study also reveals that, the layer is affected by faults propagating from the basement upwards into the cover. Our results added additional information to the knowledge of the geological structure and the mineral resources potential in the study area. Based on the 2D3/4 modeling, the Dja Fault (DF) is revealed and highlighted sub-area marked by a magnetite/or hematite dolerite, schist and sandstone blocks, which show strong magnetization. Specifically, in this area, models are made of BIF (bounded iron formation) and BIQ (bounded iron quartzite)


Introduction
Cameroon is underlain by Precambrian rocks, Cretaceous and Cenozoic sediments and volcanic formations [2]. Cameroon in general and its south-eastern area are a zone where geological and geophysical investigations are carried out permanently. But detailed investigations in the south-eastern zone are not available. The study area is in the southern region of Cameroon between the meridians 13˚50' and 14˚20' East and parallels 2˚10' and 2˚35' North, with an average altitude of 850 m. The purpose of this study is to highlight some sub-zone of mineralization and the basement structural system with the use of the HMG maxima method applied to aeromagnetic data. Aeromagnetic data analysis is useful to determine the properties of the magnetic basement beneath the cover [3]. One of the important parameters in quantitative interpretation is the depth of the anomalous body [3]. In mining exploration, the basement depth obtained through the empirical method based on upward continuation, horizontal gradient and maxima of horizontal gradient is required. Aeromagnetic survey maps showing variations of the geomagnetic field and magnetic anomalies are interpreted to be a function of the rock's magnetization. This observation is often explained using magnetic profiles and maps of magnetic lineaments [4]. The magnetic investigation done by [1] is used the tilt angle method and has highlighted two major lineaments: ESE-WNW and ENE-WSW. The study realized by [1] is adjacent to [5] where the same directions of lineaments are signaled in the eastern part of our study area. The continuity of the prolongation Northwards of our zone is documented in an audio magnetotellurics and in aeromagnetic analyses carried out respectively by [6] and [7]. Magnetic minerals can be mapped from the surface to greater depths in crustal rocks depending on the dimension, shape, and magnetic properties of the rock. The mineralization (BIF) is highlighted by 2D3/4 modeling.

Geology and Tectonic Setting
The geology of the study area ( Figure 1(b)) is part of the Ntem complex and was first elaborated by [8]. The polygon is the Djadom-Eta area where acquisition of data has been conducted. The Neoproterozoic Panafrican mobile belt covers part of the Yaoundé Group to the North, and the Ntem Complex to the south. The Ntem complex represents the northern part of the Congo Craton (CC) in Central Africa [9]. [10] considered the Ayos, Mbalmayo and Bengbis formations as belonging to the Precambrian mean age. The area is also included in the Dja series and is comprised of the tillitic, doleritic and Bek complex. It belongs to the meta-sediment's series of Dja-Ayos-Mbalmayo-Bengbis [11]. According to [8], the geology of the area is dominated by the extension of the Archean Congo Craton (Ntem Complex ~3 Ga), which is composed of chlorite-greenschist, mica-schist with muscovite, and the interstratified lentils of quartzite. The doleritic complex (sills and dykes) is composed of greenschist, the quartzite mylonitic, Figure 1. (a) Important geological formations of Cameroon [12]; (b) Geological map of the DJADOM-ETA area southeastern Cameroon (modified after [8]. The polygon is a Djadom-Eta area investigation; with the locations of Djadom Fault (DF) and Eta Fault (EF). dolerites and gabbros. The Bek complex is made up of quartzite sandstone, clay-schist and blue schist. The garnet's basement complex series is mainly composed of ectinites (gneiss and amphibolite), migmatites (granite of magmatic) and intrusive rocks (granite and granodiorite). The magnetic study done by [1] in this area shows the presence of bifurcations, accompanied by deformations. The same authors highlight two major faults: ESE-WNW and ENE-WSW, where first could be called the geological structure of Eta and the second could Open Journal of Earthquake Research be associated with an open synclinal transposed on vertical foliations in the Djadom axis. These authors deduced that the Djadom fault is quasi-parallel to the northern limit of the Congo Craton (CC) and parallel to the Sanaga Fault (SF) and the Central Cameroon Shear Zone (CCSZ) (Figure 1(a)). Geologicaly, [1] have documented the intrusion of sandstone ochre quartz and schist of the Bek complex, the doleritic complex, the silver micaschist and ore quartzite in the Ntem complex. Tectonically, [1] show a base strongly affected by tectonic which characterizes the transition between the CC and the belt from folds of the Pan-African (Figure 1(a)). Also, the presence of network of lineaments characterizes the subsurface undulation in this study area. The northern boundary of the Congo Craton is defined to be starting from 3˚7'N of West to 3˚75'N of East. Its depth is ranged from 2.6 km to 0.1 km with a an ENE-WSW direction and NW slope varying from 30˚ to 60˚ [7].
Peak of deposition that took place in the Proterozoic could probably be explained by the globally recognized intense crust-forming processes in the Early Proterozoic era. The origin of the younger Neoproterozoic ages is tied to various lithologies within the northern mobile belts of the Adamawa-Yade massifs and correlates with Neoproterozoic sedimentation ages in the Yaoundé, Lom and Poli series [13]. In the northwest of the study area, [14] [15] the banded iron formation (BIF) is situated in the CC the west of the study area. [13] characterizes meta-sediment associated with Banded Iron Formations (BIFs). This present of BIF confirm the rapport of CMC exploration in 2012 [16]. BIFs were formed by contemporaneous events of active sediment supply and the venting of a hydrothermal fluid source. BIFs within the Ntem Complex at the northern edge of the Congo Craton are intercalated with meta-sandstones and meta-siltstones. Petrographic studies indicate that the meta-sandstone has quartz grains that are elongated. The rock has a class supported fabric dominated by quartz grains. The meta-siltstone on the other hand shows a strong diagenetic foliation defined by distinct sub-parallel quartz-rich bands which are oblique to mica-rich bands.

Data Source and Acquisition
The aeromagnetic data set used in our study was acquired by the "Compagnie Minière du Cameroun" SA during the year 2012. An airborne geophysics with 2000 m × 200 m line spacing was conducted on the Upper Nyong Division of the East Region of Cameroon in February 2012. The Survey was carried out by an AS350B2 helicopter, with a total of 11 305 lines by kilometer of magnetic data and the flight was trending NE-SW. The survey was carried out at a nominal terrain clearance of 100 m which was monitored by radar altimeter with an accuracy of ±20 m.

HMG Approach
The Horizontal Magnetic Gradient (HMG) technique is based on the evaluation of the horizontal derivative of the residual magnetic field [17] [18]. This method is used to estimate the horizontal contacts and depths of geological structures. It requires the greatest number of assumptions about the sources, but it minimizes the noise contained in data during the aeromagnetic survey, because it only requires the calculation of the two first-order horizontal derivatives of the magnetic field [17]. The maxima of the HMG map were evaluated at different altitudes to delineate associated crustal faults. The HMG peaks are over magnetic contacts on the assumptions that the regional magnetic field and source magnetizations are vertical [17]. The ridges or maxima of the horizontal derivative are recognized generally as being good locators of vertical body. In contrast, if the structures are not vertical (i.e., dipping structures), the maxima are displaced in the direction of the dip as the height of the upward continuation increases. This method has been used to characterize some lineaments related to major tectonics of the study area. The maps are obtained by using the software Geosoft of Oasis Montaj v.8.4. The specific upward continuation altitudes (750, 1500, 2250, 3000, 3750 m) helped to observe the magnetic, structural, and dip from the surface to various depths. The choice of such altitudes is based on geological constraints to clearly indicate the linear structure. According to [17] [19], gradient analysis focuses on the maxima that coincide with the contact zones between structures, faults and lithological contacts. If M is the residual magnetic field, then the amplitude of the Horizontal Magnetic Gradient (HMG) following the x and y direction technique is given by (1): The HMG technique is used to calculate the horizontal gradient associated with the upward continuation of the residual magnetic field [1] at various altitudes. This step is followed by the calculation of the horizontal gradient maxima for each level, yielding the maxima progressive migration, which reveals the dip direction of the inferred faults. This technique enables the location of discontinuities and determines their dip. According to [20], the depth (z 0 ) the plan from the observation of the anomalies sources is inferior of the upward continuation altitude and could be estimated as the half of the altitude (h). h = 2z 0 then z 0 = h/2. (3)

Dip and 2D3/4 Modeling Approaches
The dip of a linear structure (feature) represents the angle α between the plane of the structure and the horizontal plane [21]. For effective modeling of the geological structure, a study of the basement is required. Thus, certain parameters (position, depth and contrast of susceptibility) of the source must be carried out starting from the knowledge of the structure. These priorities parameters must determine by the HGM method. The 2D3/4 modeling is an appropriate method for modeling the base, seams and semi-infinite contacts. The choice of the representation of profile depends on the form and the position of the sources. On the residual map, the profiles are drawn perpendicular to the anomalies ( Figure 2) using Geosoft's "GMSYS" module.

Residual Magnetic Intensity of the Study Area
The Residual Magnetic Intensity (RMI) map ( Figure 2) shows inferred composition of the magnetic signature of all the magnetic sources. The effects of the surface structures are masked by those of the underlying structures. The distributions of the anomalies are smoother and have large geological wavelengths. This wavelength with the positive anomalies has the big waves of ESE-WNW direction mark the second main fault on the ETA axis opposite to those ENE-WSW in the Djadom axis highlight by [1]. The main fault on Djadom axis is interpreted as an intersected lineament and those on the Eta axis represented by an entrainment lineament.

Maxima Horizontal Magnetic Gradient upward Continuous from 750 m to 3750 m
In order to obtain a clear view of the progressive propagation of the basement faults into the overlying magnetized layers, the residual map of the magnetic field is upward continuation at the different altitudes, and the horizontal gradient maxima were calculated for each level (Figure 3). The maxima of the HGM from 750 to 3750 m altitude are displayed on the residual map (see Figure  3). Each upward continued altitude corresponds to source depths of 375, 750, 1125, 1500 and 1875 m respectively. The superposition of the magnetics maxima from 750 to 3750 m of the altitudes correlate strongly. The disposition of these maxima gives an idea of the geological contacts of the zone. Generally, most of Figure 2. RMI map of the study area [1]. Open Journal of Earthquake Research the elongated faults inferred within the geologic provinces were basement-evolved faults, and movements along these faults might have led to some high angled faults within the sediments. The shallow faults mostly have same direction as deeper faults located in the basement, implying that both geological structures have been produced during the same tectonic processes. This shows that the pattern of the structures in the subsurface unit of Ntem is likely to be initiated by the underlying basement structural features. The identified fault trends are attributed to extensional tectonics that created the complex of Ntem. The interpretation of these maxima is based on some assumptions. If the maxima at the different depths are parallel and overlapped, the gradients are vertical. Instead, if the maxima at the different depths are parallel and not overlapped, the gradients are quasi-horizontal. All these gradients mark contact linear structures.

Lineaments Dip Approach and Mineralization Zones
The disposition of the maxima allows estimating the location of the magnetic structures ( Figure 4)   features with dip ranging between 40˚ and 90˚ south, north and SW direction ( Figure 4). This last group is more significant for mining exploration. They are more suitable where the dip is higher than 40˚ and lower than 90˚. The degree of importance (in depth) of inferred faults is determined by the continued presence of the local maxima with increase of the altitude.
The meeting of the maxima and dip direction mark the mineralization zones (zone of possible drilling). These zones are indicated by circles on the map (see Figure 4). There is a high correlation between the locations of the deep and shallow faults. This suggests a tectonic link between the basement and the overlying sedimentary column. Structural analysis of the basement faults propagation can advance the understanding of the overlying shallow geological structures for possible BIF system passage and accumulation of an area as revealed by [5] to the SW of our study area.
The results achieved about deep fault propagation allow expanding the knowledge of the regional geological setting, representing valid information to improve geological modeling of the BIF and BIQ areas. The join of the maxima or the abrupt change of dip of maxima marks the possible point drilling (circle in Figure 4). 12 points are possible in the study area. These points belong to the weak zones which are the zones of shearing, fractures and faults outlined in the preceding paragraphs.

2D3/4 Modeling
The different models are done with the parameter considerations: the direction of the profiles which must be perpendicular to the directions of the lineaments and the axis of the anomaly, the inclination −22.78˚, the declination −1.08˚ and the mean of the mean of the geomagnetic field tick 33,128.16 nT. A structural interpretation of the profiles 1 & 2 ( Figure 5 and Figure 6) reveals the domes in the lower part of the model, probably produced by significant vertical deformations. These thick gneissic domes in the basement are known as the "metamorphic core complex". These models enable an understanding of why the geological map of the area shows geological formations resulting from the layer of the Yaoundé group. These formations are related to a continental subduction. Thus, there are networks of faults in this zone indicating the direction Open Journal of Earthquake Research  Geologically, these profiles show that the study area has significant magnetite content, since the layers formed by the BIF and the BIQ are the most dominant, owing to their extensions and their intrusions into the green schist rocks. The BAM observed in the model goes a few kilometers into the gneiss and is intruded in green schist. According to geological data [8], this type of amphibole is known as a green amphibole. The sedimentary column is much more significant along the Djadom axis because the sedimentary stratum is thicker along the latter.

Discussion
The magnetic lineament maps of the basement and the overlying sedimentary layer (Figure 3) consist of major and minor inferred faults. Most of these inferred lineaments are the Djadom fault that is parallel of Sanaga Fault as highlighted by [1]. The structural map shows a network of lineaments in our study area can be considered as the extension of the faults revealed by [5] in the eastern part of our study area. The continuity of this prolongation Northwards of our zone is documented in the audio magnetotellurics study done by [6] and in aeromagnetic study done by [7]. The structural features that trend in the same direction are likely to be produced by the same tectonic processes. This shows that the pattern of the structures in the subsurface unit of Ntem is likely to be in-  [15] carried out to the west of our area and [14] to northwest of the study area. This result is acceptable because Cameroon has about 31% to 35% iron ore. The future study will be based on the method of Curie point depth (CPD) to analyze the depth of transition of the magnetization by seeking the thermic flux which crosses the rocks, because beyond the Curie depth point, the magnetic effects disappear.

Conclusion
This study is based on the analysis and interpretation of aeromagnetic data to better define the subsurface structural trends and tectonic of the Djadom-Eta area (southeatern Cameroon). The results achieved about structure dips and di-rections help to specify the potential zones in Figure 4 who could deserve attention in next work. The faults, interest zones, dip and orientation are listed in Table 1. With this information, it is possible to determine different geologic constrains including positions, depths, thickness of the sources. The basement rocks are almost affected by nearly vertical normal faults. Covertures faults suggest a link tectonic strong between the basement and the overlying sedimentary column. These knowledge highlights by the multi-scale (HGM) method are preview to 2D3/4 modeling. This study highlights that the 2D3/4 modeling shows the correlation between geological data and magnetic data. Also, propagation of faults and structural analysis of the basement can advance the understanding of the overlying subsurface geological structures for possible BIF system passage and accumulation area as revealed by [5] [14] [15] in the southwestern of this area. Information about the basement faults propagation in the study area will not only enhance our understanding of the regional architecture but can also serve as a guide in the search for BIF and BIQ. Plot of the dip helps to specify the potential zones (see Figure 4). These BIF and BIQ on the geological models (see Figure 5 and Figure 6) are responsible for the magnetization highs.
Accordingly, the produced basement map is configured by a set of these faults which are oriented in ESE-WNW and ENE-WSW directions. Also, the average depth values of the magnetic sources range between 375 and 1875 m as deduced from multiscale methods. Tectonically, the magnetic field exploration is useful for detecting the geometry of the basement rocks and the structures produced by tectonic processes. The structural set up could be interpreted as uplifted and down lifted blocks, fracture and shear zone, which affect the thickness of the shallow. Information about the basement faults propagation allows a better understanding of the architecture but also magnetic mineralization (BIF and BIQ).
These points belong to the weakness zones of shearing, fractures and faults. The basement faults propagation area helps to know the direction of dip of the lineaments. The 2D3/4 modeling shows the BIF and BIQ intrude in green schist.
The 2D3/4 modeling highlights the supposed Djadom Fault (DF) present in the previous structural study [1].