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    ORIGINAL PAPER 

    Geoelectric assessment as an aid to geotechnical investigationat a proposed residential development site in Ilubirin, Lagos,

    Southwestern Nigeria

    L. Adeoti1 & A. O. Ojo1 & R. B. Adegbola2 & O. O. Fasakin1

    Received: 18 November 2014 /Accepted: 20 January 2016# Saudi Society for Geosciences 2016

    Abstract  The study focuses on the application of electrical

    resistivity methods as a guide for a detailed geotechnical in-vestigation due to the inhomogeneity of the soil materials cum

    inability of the drilling beyond 38 m from the three initially

    drilled geotechnical boreholes which did not allow for proper 

    foundation decisions and thus necessitated the research. Two-

    dimensional (2D) electrical resistivity data were acquired

    using the Wenner array along ten (10) traverses of about 

    500 m long, and forty-four (44) vertical electrical sounding

    (VES) data were acquired along the various traverses using

    the Schlumberger array with a maximum spread of 620 m.

    The VES data were interpreted using partial curve matching

    technique and one-dimensional (1D) computer iteration using

    WinRESIST software. The 2D dataset were processed using

    DIPROWin software. The inversion of the 2D resistivity data 

    was constraint by the VES results and available borehole data.

    The results of the interpretation of the electrical resistivity data 

    reveal that the lithological units underlying the study area 

    compose of clay/peat, clayey sand, sandy clay, and sand.

    The results of the interpretation of the electrical resistivity data 

    guided by the range of resistivity (ρ) values and knowledge of 

    the geology of the area reveal that the lithological units under-

    lying the study area are composed of peat (ρ < 10 Ωm), clay

    (10 >  ρ  < 100 Ωm), clayey sand (100 >  ρ  < 200 Ωm), sandy

    clay (200 > ρ < 300 Ωm), and sand (ρ > 300 Ωm). The various

    layers are intercalated with each other, and thickness values

    vary from one location to another up to a maximum depth of 

    70 m. The VES results show that the clayey material underliesthe sand-filled topsoil and there are indications of competent 

    sand layers at depth beneath these clayey layers in the study

    area. The 2D pseudosections reflect that the different litholog-

    ical units are intercalated with varying thicknesses across the

    study area. Thus, the study reveals that the subsoil within the

    study area is quite inhomogeneous and great care and exper-

    tise is required for developing the site. Anonymously low-

    resistivity areas delineated along each of the traverses are lo-

    cations recommended for targeted geotechnical investigation

     prior to construction.

    Keywords   Geotechnical . Geoelectric  . Electrical resistivity .

    Wenner  . Schlumberger  . Lithological  . Pseudosections

    Introduction

    In the last decade, the use of geophysics in civil and environ-

    mental engineering has become a promising approach. Before

    then, much money has been wasted by covering sites with

    regular grids of boreholes and expensive programs of routine

    tests rather than targeting the investigation towards anomalous

    areas where information is required (McDowell et al. 2002).

    Because every geotechnical in situ survey gives discontinuous

    one-dimensional (1D) information of the subsurface condi-

    tion, the variability of the near-surface ground may complicate

    such site investigations and budgetary constraints may also

    limit the number of boreholes that will be drilled. Hence, at 

    an early stage of site investigation, it may be beneficial to

    undertake a reconnaissance geophysical survey which can

     provide either a 2D or 3D image of the subsurface that can

     be used to identify areas of the site which should be investi-

    gated by drilling (i.e., those where anomalous results are

    *   L. Adeoti

    [email protected]

    1 Department of Geosciences, University of Lagos, Akoka,

    Lagos, Nigeria 

    2 Department of Physics, Lagos State University, Lagos, Nigeria 

    Arab J Geosci  (2016) 9:338

    DOI 10.1007/s12517-016-2334-9

    http://crossmark.crossref.org/dialog/?doi=10.1007/s12517-016-2334-9&domain=pdf

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    obtained) so as to further investigate areas with potentially

    dangerous subsurface conditions and make correlation be-

    tween boreholes.

    Geophysics is non-destructive, and it often serves as a re-

    liable and cost-effective means of imaging the subsurface be-

    tween and below boreholes and for determining the in situ

     bulk properties of soil and rock (Neil et al. 2008). The use of 

    geophysical methods confers advantages as they generally

    speed up the process of investigation. They provide continu-

    ous streams of information not otherwise available in discrete

    sampling or invasive procedures and give advance informa-

    tion on what to expect for a given locality. This information

    can be used to guide a more detailed soil exploration, thereby

    offering considerable savings in both time and money. The

    application of geophysical investigations can enhance the re-

    liability and speed of geotechnical investigations and reduce

    Fig. 1   Geological map of Lagos state showing the study area (modified after Jones and Hockey 1964)

    Fig. 2   Geophysical data acquisition map

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    the cost of the investigation as the number of boreholes re-

    quired for adequate definition of subsurface conditions can be

    greatly reduced if geophysics is used as a basis for selecting

     borehole locations in order to optimize the layout of excava-

    tions. This will make the borehole data being technically more

    representative of ground conditions than they might have been

    otherwise.

    Several geophysical methods can be applied in engineering

    investigation, but the use of the electrical resistivity method

    has been favored and successfully applied to solve a wide

    variety of engineering problems (Olorunfemi and Meshida 

    1987; Barker   1997; Adepelumi and Olorunfemi   2000;

    Olorunfemi et al.   2004; Soupios et al.   2007; Omoloyole et 

    al. 2008; Adepelumi et al.  2009; Adeoti et al.   2009; Fatoba 

    et al. 2010; Ayolabi et al. 2010; Fatoba et al. 2013) particularly

    in aiding geotechnical investigation (Akintorinwa and Adelusi

    2009; Akintorinwa and Adesoji   2009; Adeyemo and

    Omosuyi  2012; Salami et al.   2012). This is because of the

    wide range of resistivity values found in nature and the fact 

    that it is one of the simplest and less costly geophysical

    methods available. The method is best suited to the determi-

    nation of depths to the bedrock and detecting the presence of 

    structural features in the bedrock or potentially dangerous

    subsurface conditions before the erection of any engineering

    structure (Soupios et al. 2007).

    Due to urbanization and geometrically increasing popula-

    tion in Lagos, Southwestern part of Nigeria, a section of 

    Ilubirin in Lagos Island Local Government Area was

    Fig. 3   Correlation between VES

    1, 41, and 42 and boreholes 1, 2,

    and 3, respectively

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    reclaimed by sand filling in order to provide further land for 

    housing projects/development purposes. In this study area,

    three randomly geotechnical boreholes were initially drilled

    to reveal the nature of the subsurface information, but the in-

    homogeneity of the soil materials cum inability to drill beyond

    38 m did not allow for proper foundation decisions. Thus,

    these limitations informed the application of vertical electrical

    sounding (VES) and 2D resistivity survey with a view to properly revealing laterally and vertically the subsurface ge-

    ology as a guide for a detailed geotechnical investigation prior 

    to construction.

    Geological setting of the study area

    The study area (Ilubirin) located between latitudes 60 27′ 40″

     N and 60 27′ 58″ N and longitudes 30 23′ 45″ E and 30 24′ 10″

    E lies within Lagos State in the Southwestern part of Nigeria.

    The state overlies the Dahomey Basin, which extends almost 

    from Accra in Ghana through the Republic of Togo and Beninto Nigeria where it is separated from the Niger Delta basin by

    the Okitipupa Rigde at the Benin hinge flank. According to

    Jones and Hockey (1964), the geology of Southwestern

     Nigeria reveals a sedimentary basin which is classified under 

    five major formations according to their geological formation

    age, namely the Littoral and the Lagoon deposits, Coastal

    Plain sands, the Ilaro Formation, the Ewekoro Formation,

    and the Abeokuta formation overlying the crystalline base-

    ment complex with their ages ranging from Recent to

    Cretaceous (Fig. 1).

    As part of the Nigerian sector of the Benin Basin, the

    Quaternary geology of the study area comprises the Benin

    Formation (Miocene to Recent), recent littoral alluvium, and

    lagoon/coastal plain sand deposits (Pugh   1954; Durotoye

    1975; Longe et al. 1987; Jones and Hockey 1964). The allu-

    vial deposits consist mainly of sands (Jones   1960; Halstead

    1971), littoral and, lagoon sediments formed between two

     barrier beaches (Adeyemi   1972) and coastal plain sands.

    Topographically, the land on the northern fringe of the state

    has soils that do not rise very much above sea level.

    Material and methods

    The electrical resistivity method adopted for the geophysical

    survey uses artificial source of current ( I ) introduced into the

    ground through a set of metallic rods referred to as the current 

    electrodes while a measurement of the potentials generated

    was made using another set of metallic rods referred to as

    the potential electrodes. The PASI-16GL resistivity meter 

    was used to measure the potential difference (ΔV) from which

    the resistance ( R) is computed ( R = ΔV/  I ) and converted into

    apparent resistivity (ρa ) (Geometric factor * Resistance). The

    true resistivity of the subsurface was subsequently estimated

     by inversion using a computer program. For the purpose of 

    this research, the Schlumberger array was used for the acqui-

    sition of vertical electrical sounding (VES) because of its com-

     parable depth of inve stigation, speed, and convenie nce.

    Likewise, the plethora of interpretation material for the

    Schlumberger array also makes it attractive for depth sound-

    ing. The Wenner array was used for the acquisition of the 2D

    resistivity dataset. Wenner array is relatively sensitive to ver-

    tical changes in the subsurface resistivity (Loke 2004); there-

    fore, it is good in resolving vertical changes (i.e., horizontal

    structures) which can effectively help to delineate the lateral

    extent of different lithologies in the study area. Compared to

    other arrays, the Wenner array has a moderate depth of inves-

    tigation and the strongest signal strength which is an important 

    factor because the survey was carried out in Ilubirin area 

    which has high background noise. A constant spacing be-

    tween adjacent electrodes was used along each profile and

    increased to deeper depth.

    The data acquisition layout for the survey is shown in Fig.

    2, and the orientations of our traverses were roughly perpen-

    dicular to NE-SW which is the general strike of geological

    features in the study area. This was done to achieve optimum

    resolution of the subsurface structures. Ten (10) traverses of 

    about 500 m along the NW-SE direction were established, and

    the 2D resistivity datasets were acquired along these traverses

    (a)

    (b)

    Fig. 4   Typical VES curves in the study area: a  KQH-type curve, b QH-

    type curve

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    in two segments of 0 – 250 m and 250 – 500 m. In addition, a 

    total of forty-four (44) VES points were occupied along the

    ten traverses. Three of the VES data were acquired beside

    three boreholes located within the study area as shown in

    Fig.  2. The spread length of the Schlumberger current elec-

    trode varied from 2 to 620 m while for Wenner profiling, the

    Table 1   VES interpretation results and lithological description

    VES no. Type curve Resistivity (ρ1….ρn)Ωm//thickness (h1…..hn)m Lithological description

    1 KQ 34.7208.6,27.5,8.8//0.5,2.4,3.3 Clayey topsoil, clayey sand, clay, clay/peat  

    2 QQH 2603.5150.8,87,6.1207.3//1,9.6,25.5,18.6 Sandy topsoil, sandy clay, clay, clay/peat, sandy clay

    3 KH 84.3270.2,16.6152.3//0.7,0.6,21 Clayey topsoil, clayey sand, clay/peat, sandy clay

    4 KQH 306.1409.8,89,8.1//0.6,1.7,2.7,9.2 Sandy topsoil, sand, clay, clay/peat, clay

    5 QQH 732.6585.1,83.53.8,26.3//0.7,2.8,13.4,14.2 Sandy topsoil, sand, clay, clay/peat, clay

    6 QH 1668.1152.5,16.7,98//0.9,2.4,20.8 Sandy topsoil, clayey sand, clay, clay

    7 KQH 59.4124.7,12.2,1.4,25//0.6,1.7,6.5,8.2 Clayey topsoil, sandy clay, clay/peat, clay/peat, clay

    8 KQH 437.2,1628.2123.8,15.9128.3//0.5,2.1,1.7,54 Sandy topsoil, sand, sandy clay, clay, sandy clay

    9 QH 2567.6208.5,37.9258.4//0.8,2.2,21.8 Sandy topsoil, clayey sand, clay, clayey sand

    10 QH 2467.8139.5,14.4129.1//0.5,1.5,27.8 Sandy topsoil, sandy clay, clay/peat, sandy clay

    11 KHA 375.2740.3,27.4,72.9626.7//0.5,1.9,1.8,44 Sandy topsoil, sand, clay, clay, sand

    12 QH 745.4,66.6,12,160.1//0.8,4.3,48 Sandy topsoil, clay, clay/peat, sandy clay

    13 QH 3909.2473.1,28.4115.7//0.7,1.8,16.1 Sandy topsoil, sand, clay sandy clay

    14 KH 26.7156.9,7.8,1900.6//0.6,1.5,16.4 Clayey topsoil, sandy clay, clay/peat, sand

    15 KQH 27.6153,11.9,7224.9//0.4,1.6,2.6,29.2 Clayey topsoil, sandy clay, clay/peat, clay/peat, clayey sand

    16 QHK 1217.8152.9,7.5,57.6,7.8//0.6,2.9,10.3,55.3 Sandy topsoil, sandy clay, clay/peat, clay, clay/peat 

    17 KQH 464,2588.2183,20,441.5//0.3,1.5,6.6,25.7 Sandy topsoil, sand, sandy clay, clay, sand

    18 KH 87.7201,14.8168.9//0.4,3,15.1 Clayey topsoil, sandy clay, clay, sandy clay

    19 KH 121.4193.8,19.9222.2//0.5,1.6,22.8 Sandy topsoil, clayey sand, clay, clayey sand

    20 KQH 38.7143.1,32.1,3.2,47.6//0.5,3.3,14.8,27.6 Clayey topsoil, sandy clay, clay, clay/peat, clay

    21 QQ 2987.8428.7,34.3,13.6//0.9,1.5,4.2 Sandy topsoil, sand, clay, clay

    22 KQH 2341.6,2544.1,92.9,32.8252.9//0.6,0.8,7.4,42 Sandy topsoil, sand, clay, clay, clayey sand

    23 QQH 2065.1463,64.1,46.9611.3//0.8,1.2,3.5,68.8 Sandy topsoil, sand, clay, clay, sand

    24 QQH 1137.3157.4,36.6,14.2207.7//1,2.9,3.7,57 Sandy topsoil, sandy clay, clay, clay, clayey sand

    25 KQ 276.4372.8155.6,13.6//0.5,3.4,36.8 Sandy topsoil, sand, sandy clay, clay

    26 KHK 257.3319.4,14.2418.8,45.6//0.6,2.4,2.9,37.5 Sandy topsoil, sand, clay, sand, clay

    27 KQQ 319.6896.6,36,35.1878.6//0.5,1.3,0.4,71.7 Sandy topsoil, sand, clay, clay, sand

    28 QH 1760.8792.9187.5696.5//0.8,2.2,18 Sandy topsoil, sand, sandy clay, sand29 QHK 1226.1563.3,37.9423.8,23.4//0.8,2.1,8.7,22.6 Sandy topsoil, sand, clay, sand, clay

    30 QHK 8439.9390.6,41.3300.8,66.3//0.6,2.7,2.4,75.4 Sandy topsoil, sand, clay, sand, clay

    31 QQH 3445.5305.2,40.2,5,54.2//1.2,2.2,7.2,10.9 Sandy topsoil, sand, clay, clay/peat, clay

    32 KQH 635.7,1750.2,44.1,10.7136.2//0.5,1.8,11,57.4 Sandy topsoil, sand, clay, clay/peat, sandy clay

    33 QH 3247.9201.7,29.5270//0.8,3.1,42.5 Sandy topsoil, clayey sand, clay, clayey sand

    34 QH 3592.7675.3,34.7397.5//0.6,1.8,36.1 Sandy topsoil, sand, clay, sand

    35 QH 559.6170.7,41.2,4080//0.9,4,65.9 Sandy topsoil, sandy clay, clay, sand

    36 QQH 1210.8758.7,53,4.8,61.1//0.6,3.3,13.2,16.5 Sandy topsoil, sand, clay, clay/peat, clay

    37 QHA 5350.5,1496.4,99.6110.1841.8//0.8,2,1,67.7 Sandy topsoil, sand, clay, sandy clay, sand

    38 QHA 8405.3499.7,37.2273,80.4//0.7,2.2,3104.4 Sandy topsoil, sand, clay, clayey sand, clay

    39 KQH 711,2295.8163.2,12.3177.8//0.4,1.8,5.5,11.8 Sandy topsoil, sand, sandy clay, clay/peat, sandy clay

    40 KQQ 776.1,1710.1414.8,38.7,12.4//0.5,1.5,0.5,5.8 Sandy topsoil, sand, sand, clay, clay/peat 

    41 QHA 374.3129.5,30.6113.4,1550//0.7,2,7.2,49.9 Sandy topsoil, sandy clay, clay, sandy clay, sand

    42 K 351.3,1188.1,20.4//0.7,1.8 Sandy topsoil, sand, clay

    43 KH 34.6106.9,16.8,1098.5//0.6,3.3,10.2 Clayey topsoil, clay/sandy clay, clay/peat, sand

    44 KHA 128.8735.3,14.8,69.1175.6//0.5,0.9,5.9,15 Clayey topsoil, sand, clay/peat, clay, sandy clay

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    electrode spacing varied from 10 to 80 m. The Garmin Etrexmodel Global Positioning System (GPS) handset was used to

    record geographical coordinates (in degrees) of the VES sta-

    tions and the traverse lines.

    In order to obtain a good final model, the data must be

    of very good quality. As a rule of thumb, prior to inver-

    sion, we plotted the resistivity data from the 2-D survey

    using the pseudosection contouring method as well as a 

     profile plot. From the pseudosection plot, we manually

     picked out bad apparent resistivity measurements from

    the dataset. Such bad measurements stood out as points

    with unusually high or low values which might be caused

     by some sort of failure during the survey. Since we ac-quired our data manually, we had the privilege of cross-

    checking and verifying our readings; therefore, the per-

    centage of bad data points is negligible in our case. In

    addition, our resistivity meter was usually checked for 

     possible wire leakages, poor electrode contact, and current 

    injection issues before taking several measurements which

    are averaged to suppress random noise.

    The VES curves were interpreted using the conventional

     partial curv e matching tech nique (Orella na and Mooney

    1966; Bhattacharya and Patra   1968) to obtain an initial

    model as input into an inversion procedure using a modified

    Marquardt-Levenberg inversion algorithm involving the

    WinResist Software (Vander Velpen and Sporry   1993).

    The acquired 2D resistivity dataset were inverted to obtain

    a 2D image of the subsurface using DIPROfWin software.

    The 2.5-D inversion code solves the forward problem of 

    electrical resistivity using finite difference modeling

    (FDM) or finite element modeling (FEM) approximations.

    For our study, we used the FDM component of the software

    to generate theoretical dataset for several models. In the

    inversion step, the theoretical dataset was compared to the

    observed resistivity data and an attempt to fit both data wasachieved using a smoothness-constrained least-squares in-

    version algorithm and an active constraint balancing (ACB)

    to achieve stable results. The ACB method was used to

    determine the spatially varying Lagrangian multiplier at 

    each of the parameterized blocks of the model during the

    inversion process to enhance both resolution and stability

    (Yi et al.   2003). As the inversion proceeded, the method

    aimed to iteratively minimize the difference between the

    synthetic and observed resistivity fields by updating the

    model until a reasonable fit was achieved. The quality of 

    the data fit was expressed in terms of the RMS error, and

    once the misfit is less than 5 %, the iteration was stoppedand the observed field pseudosection, the computed theo-

    retical data pseudosection, and the inverted subsurface 2D

    resistivity structure were outputted. As a constraint to the

    inversion process, we supplied a priori information in terms

    of the number of layers from the VES interpretation results

    and available borehole information.

    Results and discussion

    Correlation between borehole and VES model

    For optimum interpretation of geophysical survey data, it is

    important that adequate direct control is available; such con-

    trol can be provided by boreholes or trial pits. Hence, para-

    metric soundings at VES 1, 41, and 44 were carried out beside

    three boreholes, which had been dug prior to the geophysical

    investigation. This has assisted in correlating the results of 

     both methods and also to probe deeper where necessary.

    This is also to help constrain and aid the interpretation of the

    geophysical results. The lithological information of boreholes

    Fig. 5   Frequency chart for 

    different VES-type curves

    obtained in the study area.

    Borehole data (Fig. 3) in thestudy

    area form a basis for interpreting

    the 2D resistivity images. The

    inverted 2D resistivity structure

     beneath traverses one (1) to five

    (5) andtraverses six(6 ) toten(10)

    are shown (Fig. 6 (1a – 5b) andFig. 7 (6a – 10b)). Segment  a  of 

    each traverse covers a lateral

    distance of 0 – 250 m while

    segment  b  covers a lateral

    distance of 250 – 500 m making

    each traverse 500 m long

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    1 – 3 in correlation with the results of the parametric VES

    sounding is presented (Fig. 3). The results obtained from the

    correlation informed the use of different ranges of resistivity

    values to classify the different lithology in the study area.

    RMS error = 0.060 RMS error = 0.059

    RMS error = 0.053 RMS error=0.056

    RMS error = 0.062RMS error = 0.057

    RMS error = 0.059 RMS error = 0.056

    RMS error = 0.052RMS error = 0.054

    Fig. 6   2D Resistivity structure beneath traverses 1 – 5. Segment (a) is from 0 to 250 m while segment (b) is from 250 to 500 m

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    Fig. 7   2D resistivity structure beneath traverses 6 – 10. Segment (a) is from 0 to 250 m while segment (b) is from 250 to 500 m

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    Vertical electrical sounding results

    Samples of the resistivity curves are presented (Fig.  4). The

    summary of interpreted VES results and lithological descrip-

    tion is also presented (Table 1). The resistivity curves obtained

    from the survey are the KQ-, QQH-, KH-, KQH-, QH-, KHA-,

    QHK-, QQ-, KHK-, KQQ-, QHA-, and K-type curves with

    the KQH- and QH types being dominant (Fig. 5). The litho-logical interpretation of the VES subsurface models reveals

    that the study area is underlain by topsoil (mostly sandy),

    sandy clay/clayey sand, clay/peat, and sand layers.

    The dominant-type curve (Fig.   5) shows that resistivity

    generally decreases with an increase in depth and later in-

    creases. This indicates that beneath the sand-filled topsoil,

    there is a strong indication of clayey material and subsequent-

    ly a competent sandy material at depth.

    For construction purposes in the study area, appropriate

    foundation such as piling is recommended since the clayey

    material lying beneath the sand-filled layer is inimical to

     building construction due to differential settlement resultingfrom poor load-bearing capacity.

    2D electrical resistivity imaging results

    The inversion of the 2D resistivity data was constraint using the

    VES results as shown (Table  1) and discussed in a previous

    section. The number of layers, which is an input into the inver-

    sion process, was determined from the VES results. Likewise, the

    understanding of the relationship between resistivity values and

    lithology obtained from the borehole data (Fig.  3) in the study

    area formed a basis for interpreting the 2D resistivity images.

    The 2D subsurface images obtained from the inversion of the

    Wenner resistivity data show both the lateral and vertical varia-

    tions in subsurface resistivity across the different traverses. The

    2D images reveal four major subsurface lithology which are peat 

    (generally in  blue color   band with resistivity values less than

    10 Ωm), clay (generally in lime/ light orange/  yellow color  band

    with resistivity values less than 100Ωm), sandy clay/clayey sand

    (generally in deep orange/ red color  band with resistivity values

    ranging from 101 to 199 Ωm for sandy clay and 200 – 299 Ωm

    for clayey sand), and sand (generally in  purple color  band with

    resistivity values greater than 300  Ωm). A description of the

    lithology is denoted on the subsurface image obtained across

    each traverses as presented (Fig. 6 (1a – 5b) and Fig. 7 (6a – 10b)).

    For further geotechnical investigation, boreholes should be

    targeted at anomalously low resistivity areas that are generally

    in blue/lime color  band across the different traverses.

    Conclusions

    From the results of the geophysical investigation, it can be

    concluded that the subsurface lithology underlying the sand-

    filled area is generally clayey. However, there are patches of 

    sand unit along the different traverses at different depths.

    Since clayey layers are inimical to the development of engi-

    neering structures due to differential settlement resulting from

     poor load-bearing capacity, it is recommended that a suitable

    foundation such as pilling is constructed.

    As a guide to further geotechnical investigation, boreholes

    are recommended to be drilled at anomalous areas (areas withvery low resistivity

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