Resistivity methods have been used extensively to locate weathered and fractured zones in West and East Africa [6]. A direct current was introduced into the ground through a pair of electrodes and the potential difference was measured through a second pair of electrodes. The current and the potential measurements are then used to calculate the apparent resistivity of the subsurface material. Depth penetration was achieved by progressively increasing the electrodes distance. The apparent resistivity is measured at successive intervals.

The electrode configuration adopted for this study is the Schlumberger array. In this method four electrodes were placed along a straight line on the surface such that the current electrodes distance AB is equal to or greater than five times the potential electrode distance MN [9]. For the linear symmetry array of electrodes (AMNB), the apparent resistivity given by Gruntorad and Karous [8] is:

where V is the measured potential difference and I is the current. Maximum electric current half spacing (AB/2) attained during the field data acquisition was 100 m. The data were processed through curve matching to generate the initial models for the computer interpretation using IX1D (2004) inversion software. This produced the thickness “h” and electrical resistivity “ρ” values of the various subsurface layers [10]. These two parameters are the primary geoelectrical parameters. [11] environment was used to composed the location map of the VES stations shown in Figure 4 and plotted the terrain models of subsequent Figures.

The longitudinal conductance (S_L) and transverse resistance (T) derived from the fundamental geoelectrical characters mentioned above are the secondary geoelectrical parameters. These parameters are important to describe

the geoelectric layer sections. Porosity which is considered along the secondary parameters is a secondary effect imposed upon the rocks.

The third electrostatigraphic unit was considered most suitable for groundwater accumulation on the basis of depth of occurrence and/or resistivity values. For a given layer in a basement region where the substratum is resistance, the longitudinal conductance (S_L) of the layer is defined by the equation:

where h is the thickness and ρ is the resistivity of the layer.

Correlation between S_L and the hydrogeological potentials of the weathered horizon places higher values of S_L to greater thickness of the weathered bedrock. Lower S_L values are linked to resistant substrata that approach the surface. Longitudinal conductance map of the layer under consideration is given in Figure 5. This map indicates a good conducting zone along the eastern part which may indicate possible concentration of conductive materials in the area [12,13]. Intermediate conductance contour levels striking from the north to the southeast may constitute an area with increased weathered basement materials. Lower conductivity values which dominate the western area may be associated to the presence of fine grained matrix in coarse grained fractions and/or fractured bedrock where the degree of decomposition of the rock fragment is minimal.

The transverse resistance (T) of the unit is given by:

where h and ρ as previous defined.

The information given by this parameter correlates favourably well with the hydraulic transmissivity of the

Contours in Sm

aquifer zone. The transverse resistance map of this horizon given in Figure 6 revealed the values of this parameter increasing from the west towards the east possibly due to the decrease in depth of the bedrock along the same trend.

An approach to estimating the porosity of the aquifer from the resistivity data involved the application of the well known Archie equation. [9,14] expressed this equation as:

where F is the formation factor, Φ is the porosity, δb is the bulk formation resistivity derived from the resistivity values and δw is the pore water resistivity measured from a nearby hand dug well. Applying Equation (4) to results of interpretation of the geoelectric layer and resistivity values of 18.9 ohm-m measured from the hand dug well, yield porosity values contour map shown in Figure 7.

Contour in ohm.m²

Contour in percentage

In describing Figure 7, reference was made to the range in values of porosity given by [15,16]. Thus fractured crystalline bedrock may be encountered around the western part with few isolated pockets at the extreme northeastern and southern parts. Since the area is underlain by granite, weathered granite occupies a greater proportion of the area. This might have attracted settlements of Wandu, Uzum and Para Husara communities whose main occupation is farming. Dense crystalline rocks with porosity of five percent or less occur in pockets striking in the north-east direction and part of the east central. The area may best be described as being close to and/or on exposed granite outcrop.