versión impresa ISSN 1794-6190
Earth Sci. Res. J. v.9 n.2 Bogotá jul./dic. 2005
ANALYSIS OF PHOSPHATE DEPOSIT "DISTURBANCES" USING THE HORIZONTAL-GRADIENT RESPONSES OF RESISTIVITY DATA (OULAD ABDOUN, MOROCCO)
Earth Sciences Department Faculty of Sciences and Techniques, Abdelmalek Essaadi University, Tangier, Morocco Email: firstname.lastname@example.org
En la gran cuenca de Oulad Abdoun en Marruecos se inició la explotación de un nuevo depósito de fosfatos para reemplazar al de Grand Daoui que se encuentra agotado. Existen inclusiones estériles de caliche que dificultan la extracción de las rocas fosfatadas y que son difíciles de detectar. La resistividad de los caliches excede un valor de 200 Ω.m contra 80 a 150 Ω.m para la roca fosfatada. Se llevó a cabo un proyecto de prospección eléctrica con un equipo Schlumberger sobre una extensión de 50 hectáreas. Se obtuvieron modelos del perfil geológico mediante análisis de gradiente horizontal del mapa de los "distorsiones" de fosfatos. Se logró localizar modelar la localizacion de las inclusiones de caliche y cubicar las reservas de fosfatos de manera más confiable.
Palabras clave: Prospección geofísica, resistividad, fosfatos, gradiente horizontal, Marruecos.
In the great Oulad Abdoun Basin exploitation of a new phosphate deposit was begun after the Grand Daoui horizon was exhausted. Inclusions of sterile hardpan—so-called "disturbances" —are hard to detect and interfere with phosphate extraction. Their resistivity is above 200 Ω.m as against 80 to 150 Ω.m for the phosphate-rich mineral. A Schlumberger resistivity survey over an area of 50 hectares was carried out. Models of the geology were successfully obtained from the analysis of the horizontal-gradient map of "disturbances". A new field procedure was tested to estimate the depth of disturbances. Phosphate reserves were better known.
Key words: Geophysical surveys, resistivity, phosphate, horizontal-gradient, Morocco.
Morocco is a major producer of phosphate, with an annual output of 19 million tons and reserves in excess of 35 billion cubic meters. This represents more than 75% of world reserves. Resistivity surveys have been successfully used in the Oulad Abdoun phosphate basin in Khouribga Province (Figure 1), which is about 120 km south of Casablanca. The present survey was carried out in the Sidi Chennane deposit which a part of Oulad Abdoun basin, extending over some 800,000 hectares. The Sidi Chennane deposit is sedimentary stratiform and contains several distinct phosphate-bearing layers. These layers are found in contact with alternating layers of calcareous and argillaceous hardpan. In this field, extraction was begun after Grand Daoui deposit was exhausted. However, the new deposit contains many inclusions and lenses of extremely tough hardpan locally known as "dérangements" or disturbances, found throughout the phosphate-bearing sequence. The hardpan pockets are normally detected only at the time of drilling. They interfere with field operations and introduce a severe bias in the estimates of phosphate reserves.
Direct exploration methods such as well logging or surface geology are not particularly effective. However, the chemical changes which are detectable at the hardpan/phosphate rock interface produce an important resistivity contrast. Other factors such as changes in lithofacies and clay content and consistence appear to account for some additional resistivity difference. It was found that normal phosphate-bearing rock has a resistivity of 80 to 150 Ω.m while the hardpan typically features resistivity values of between 200 and 1000 Ω.m.A pilot resistivity survey was performed over an area of 50 hectares. The objective of this experiment was to try and map and constrain the anomalous regions corresponding to hardpan. A resistivity map was expected to allow the electrical resistivity signals to be imaged in 3D. We used a Schlumberger array with a span of 120 m designed to reach a depth of 40 m. The so-called disturbances appear at random so that the apparent resistivity map may be used by the operating personnel as a kind of radar to plan the sequence of field operations. We use traditional analytic analysis by horizontal-gradient to circumscribe the extension in-depth of the effects of the random disturbances, or any other resistivity anomalies that may be present.
OVERVIEW OF THE AREA OF STUDY
The Sidi Chennane phosphate deposit is within the Oulad Abdoun basin about 33 km south-east of Khouribga (Figure 2). Its boundaries are : West, meridian 372500 (Lambert), South, meridian 22800 (Lambert), East, highway RP22, and North, the outcrops of the basement of the phosphate-rock sequence. The climate of the phosphate plateau is essentially arid. Rainfall is from November to May and is usually below 400 mm. Vegetation is of sparse dwarf palm trees. Rural population subsists on cattle ranching and seasonal agriculture in small villages, or douars. Ground water is increasingly scarce. Scattered wells depend on an aquifer in the Turonian limestones at depths of 100 m or more, which is sealed by the Senonian marls.
The phosphate mineral was deposited over a long time window from Maestrichtian (late Cretaceous, about 80 ma), to Lutetian (early Eocene, 40 ma). However, deposition was irregular. Some layers are missing. Oulad Abdoun Basin occupies most of the phosphate plateau which is bounded toward the north by red outcrops of pre-Cenomanian sediments forming an extension of the south edge of the Central Massif. The Western boundary is the Rhamna Range, the Beni Amir plain is to the South and the Upper Atlas of Beni Mellal extends to the East. The geology of the study area is well understood (see Figure 3 for stratigraphy).The geologic section rests unconformably on Paleozoic schists and quartzites. The basement is well located and the sedimentary cover is fairly thick (Kchikach and Hiyane, 1991). The uppermost formations of the Maestrichtian and Eocene contain the phosphate-bearing strata which are 30 to 50 m thick. The earlier deposits, i.e. the lower 5 to 28 m, are clayey phosphates of Maestrichtian age. The upper 20 to 30 m are less homogeneous.
They are layered phosphate marls and sandstones with some limestones of Eocene age. Below the phosphate-bearing strata one finds up to 70 m of Senonian marls and limestone marls; 20 to 60 m of Turonian limestones; a Cenomanian formation of alternately gypsum marls and limestone marls; and finally 10 to 60 m of red marls and mudstones of pre-Cenomanian age.The disturbances may be differentiated by size of the pocket or inclusion, type of material, hardness, clay content, or type of contact with the phosphate rock. Two main types of disturbances are found. The first type is found throughout the mineral deposit : it appears to be a random mixture of limestones, marls, clays, cherts and low-grade phosphate with large amounts of cherty limestone. The second type is highly disturbed and lacks any dominant facies. It appears as an accumulation of low-grade phosphate limestone blocks with large nodules of chert, marl, some fragments of chert and phosphate rock. The latter type forms inclusions of 10 to more than 150 m and is the most abundant during mining operations (Figure 4).
These pockets are found both in the underlying formation and in the upper members of the phosphate sequence, and as a result there are strong resistivity contrasts between the disturbances and the normal phosphate-bearing rock. These contrasts were confirmed in the test runs (Figure 5). Geophysical prospection could thus be based on prior evidence from field data.
Resistivity is an excellent parameter and marker for distinguishing between different types and degree of alteration of rocks. Resistivity surveys have long been successfully used by geophysicists and engineering geologists and the procedures are well established.
The study area was selected for its representativity and the resistivity profiles were designed to contain both disturbed and enriched areas (Kchikach and Hiyane, 1991). The sections were also calibrated by using vertical electrical soundings.
High values of apparent resistivity were encountered due to the presence of near-vertical faulting between areas of contrasting resistivity, and fault zones which may contain more or less highly conducting fault gouge. The gouge may contain gravel pockets or alluvial material in a clay matrix (Kchikach et al., 2002). Such anomalous sections are also classified as disturbances. Apparent resistivity values in these profiles locally exceeded 200 Ω.m. In order to locate and define the anomalous areas or disturbances, an electric current of intensity I was passed between electrodes A and B, and the voltage drop ∆V was measured between the potential electrodes M and N. The apparent resistivity is found from ρapp = K (∆V/I), where K is the geometric constant of the instrument which depends only on the distance between electrodes (Gasmi et al., 2004). Thus the ratio between I and ∆V yields the resistivity of the terrain. Our Schlumberger profiles set required the electrodes to be aligned and equidistant from their central point O so that MN<<AB (Bakkali and Bouyalaoui, 2004). The lateral inhomogeneities of the ground can be investigated by means of the apparent resistivity obtained from the survey. As the surface extension of the layers is displayed we may infer the presence or absence of any disturbances as well as any facies variations. Our resistivity measurements were performed by means of a Syscal2 resistivity meter by BRGM Instruments using a rectangular array of 20 m x 5 m. In order to reach a mean depth of exploration of 40 m we carried out 51 traverses at a spacing of 20 m. There were 101 stations at 5 m distance for every traverse, which makes 5151 stations altogether in the survey (Bakkali and Bahi, 2005).
Interpretation of resistivity anomalies is the process of inferring information on the position and composition of a target mineral body in the underground. In the present case the targets were essentially the inclusions called perturbations. The amplitude of an anomaly may be assumed to be proportional to the volume of a target body and to the resistivity contrast with the mother lode. If the body has the same resistivity as the mother lode no anomaly will be detected. Apparent resistivity measurements are obtained from a harmonic potential V which fulfils Laplace’s equation ∆V=0 in the surrounding space external to the body. The potential gradient falls off as 1/r2 (Blakely, 1995). As a first approximation, the scalar potential in the neighborhood of the perturbations and within the sources complies with the equation ∆V=-2ρI δ(r), where δ(.) is the Dirac delta, ρ is the resistivity in the anomalous region and I is the current at a point electrode in an elastic halfspace, i.e. the topographic surface of the study area (Dey and Morrinson, 1979). The apparent resistivity map which one obtains from such a survey is actually a map of discrete potentials on the free surface, and any major singularity in the apparent resistivities due to the presence of a perturbation will be due to the crossing from a "normal" into a "perturbed" area or vice versa. In other words, the apparent resistivity map may be considered a map of scalar potential differences assumed to be harmonic everywhere except over the perturbed areas. Thus one assumes that the potential difference data may be processed by Fourier analysis without any terrain correction (Cooper, 2004).
HORIZONTAL-GRADIENT AND DOWNWARD PROLONGATION PROCESS
Figure 6 shows the map of resistivity anomalies corresponding to "disturbed" phosphate zones. Figure 7 is the corresponding map of the "disturbed" zones. This procedure enables us to define the sources. The standard procedure was basically Fourier filters which enhance some features of the anomaly map at the expense of other features, thus enabling us to connect the mapped surface anomalies to depth (Bakkali, 2006).
The magnitude of the horizontal-gradient is usually estimated by finite difference methods from values measured at gridded points on the apparent resistivity anomaly map. The magnitude is determined using the following equations:
where x is the eastern coordinate and y the northern coordinate. ,ρjt is the pseudo-apparent resistivity defined at grid point (i,j). Grid intervals in the x-direction and y-direction are axp and ayp respectively. Maxima horizontal-gradient may be occur immediately over steep or vertical boundaries separating rock masses of contrasting densities. On the horizontal-gradient apparent resistivity map, lines drawn along ridges formed by enclosed high horizontal-gradient magnitudes correspond to these boundaries. The horizontal-gradient represents in this case an indicator of the level of variation of the contrast of density between the disturbances and the normal phosphate-bearing rock. The value of the intensity of the horizontal-gradient anomalies (Figure 8) was calculated starting from a plan obtained by an adjustment by the method of least squares of a grid of 5 cells out of 5 cells centered on the point to determine.We note the good correlation between "disturbed" phosphate zones and the horizontal-gradient intensity)
The downward prolongation of the horizontal-gradient apparent resistivity map reveals the extension in-depth of the contrasting densities. The operator of prolongation in the spectral domain is e where is the depth of prolongation and o the frequency defined as, where u and v are the frequencies in the eastern and northern directions (Gunn, 1975). We have applied this process to the map of the horizontal-gradient apparent resistivity to estimate the extension in-depth of the contrasting of density between the disturbances and the normal phosphate-bearing rock. This singular procedure will enable us to map the extension of anomalic zones in-depth (Bakkali, 2006).The data are imaged symmetrically in the space domain in order to minimize edge effects on the transformed map. The second-derivative operation is equivalent to high-pass filtering. It is useful for interpretation as it refines the response of the geophysical instrument, and it produces sharper contours. As derivation is sensitive to noise (Cooper and Cowan, 2003), this procedure enhances the expression of any structures and discontinuities.
Otherwise some spurious high frequency effects may appear around the edges. Once the horizontal-gradient resistivity map was filtered in the frequency domain the downward-prolonged corresponding map at a depth 5 to 50 m (Figure 9) was restored back to the space domain by inverse Fourier transformation. Downward prolongation was carried out in steps of 10 meters which enabled us to sample the entire sequence of level of the contrasting of density between the disturbances and the normal phosphate-bearing rock.
RESULTS AND CONCLUSIONS
The resistivity map as obtained by the above procedure in the study area provided a direct image for an interpretation of the resistivity survey. We were able to identify the anomalies which turned out to be strongly correlated with the disturbances. We found that the disturbances as detected from surface measurements were distributed apparently at random as confirmed by the various maps of the downward prolongation of horizontal-gradient apparent resistivity intensity. These maps represent an effective indicator of the intensity level of "disturbance" in depth.The anomalous areas were neatly outlined. As mentioned above, the disturbances were outlined in depth down to 50 m. The contrasting of density between the disturbances and the normal phosphate-bearing rock from 5 to 50 m depth attest that the disturbances are contrasted in-depth comparatively on the surface.The high intensities of the horizontal-gradient over anomalous areas are interpreted as reflecting the fact that the pockets of disturbed material tend to become more consolidated at depth. We find that the analytic prolongation procedure of the horizontal-gradient helps to better constrain the location of anomalous areas on the surface. The overall effect is that of scanning the anomalous bodies.We have described an analytical procedure to identify the anomalies of a specific problem in the phosphate mining industry. The results proved satisfying. Data processing procedures as horizontal-gradient were found to be consistently useful and the corresponding prolonged maps may be used as auxiliary tools for decision making under field conditions. It was found that the maps of horizontal-gradient at different depths were particular useful to the surveyors for improving and constraining their estimates of phosphate reserves in the deposit.
• Bakkali, S. (2006). A resistivity survey of phosphate deposits containing hardpan pockets in Oulad Abdoun, Morocco, Geofisica Internacional, 45 (1), (under press). [ Links ]
• Bakkali, S. and L. Bahi, (2005). Cartographie des "dérangements" de séries phosphatées par mesures de résistivités électriques, Journal des Sciences Pour lIngénieur, J.S.P.I., 6, (under press). [ Links ]
• Bakkali, S. and J. Bouyalaoui, (2004). Prospection géophysique appliquée à lévaluation des eaux souterraines de Mediouna (Tanger, Maroc), Journal des Sciences Pour lIngénieur, J.S.P.I., 4, 13-22. [ Links ]
• Blakely, R.J., (1995). Potential theory in gravity and magnetic applications, Cambridge University Press, pp441 [ Links ]
• Cooper, G., (2004). The stable downward continuation of potential field data, Exploration Geophysics, 35, 260-265. [ Links ]
• Cooper, G. and D. Cowan., (2003). The application of fractional calculus to potential field data, Exploration Geophysics, 34, 51-56. [ Links ]
• Dey A. and H.F Morrinson, (1979). Resistivity modelling for arbitrarily shaped two-dimensional structures, Geophysical Prospecting, 27 : 106-136. [ Links ]
• Gasmi, M., Ben Dhia., H.., Andrieux., P. & Amri, F., 2004. Contribution de la prospection électrique à létude hydrogéologique des aquifères (Tunisie méridionale), Sécheresse, 15, 2, 201-8. [ Links ]
• Gunn, P.J., (1975). Linear transformation of gravity and magnetics fields, Geophysical Prospecting, 23, 300-312. [ Links ]
• Kchikach, A. and M. Hiyane, (1991). Apport de la géophysique à la détermination des dérangements à Sidi Chennane Nord, Publications Ecole Mohammadia dIngénieurs, Rabat, Maroc. [ Links ]
• Kchikach, A., M. Jaffal, T. Aifa, and L. Bahi, (2002). Cartographie de corps stériles sous couverture quaternaire par méthode de résistivités électriques dans le gisement phosphaté de Sidi Chennane (Maroc). Comptes Rendus. Geosciences, 334, 379-386. [ Links ]