Geotechnical and Foundation Engineering
Validity of SPT–CPT Correlation for Bearing Capacity Prediction of Reclaimed Soils in Lagos Island, Lagos State, Nigeria
Department of Civil Engineering, Faculty of Technology, University of Ibadan, Ibadan, Nigeria
Published November 2026
Abstract
Background: Engineers often apply published, generic SPT–CPT correlation ratios to estimate one test from the other when only one is available. These ratios were developed for natural soils, and their validity for reclaimed soils in Lagos Island, Nigeria, has not been tested. Methods: Secondary SPT, CPT and borehole data from six reclaimed sites in Ikoyi, Victoria Island, Lekki and Sangotedo were analysed. Allowable bearing capacity was computed from SPT data using Meyerhof’s general bearing capacity equation (factor of safety of 3) and from CPT data using Meyerhof’s (1956) direct method. The site-derived ratio qc/N was compared with published values from Brazil (Danziger et al., 0.39 MPa) and the United Arab Emirates (Akça, 0.30–0.45 MPa), including a one-sample t-test. Results: SPT-based allowable bearing capacity ranged from 237.5 to 404.5 kPa and CPT-based capacity from 245.2 to 653.8 kPa. The site-derived qc/N had a mean of 0.559 MPa (range 0.245–0.823 MPa), a coefficient of variation of 40.3% and a 95% confidence interval of 0.323–0.795 MPa. Only one of the six sites (Site A, 0.441 MPa) fell within the published range, although the mean did not differ significantly from the Danziger value (p = 0.13). Conclusion: Published generic SPT–CPT correlation ratios are not reliable for reclaimed soils in Lagos Island, because only one of the six sites fell within the published range. Site-specific data should be used or, where unavailable, the site-derived mean or the wider 95% confidence interval established here should be adopted as a fallback.
Keywords: Bearing capacity; Cone Penetration Test; reclaimed soils; SPT–CPT correlation; Standard Penetration Test
1Introduction
1.1Background
Land reclamation responds to land scarcity in coastal cities such as Lagos, where population growth has raised the demand for commercial, residential and infrastructure land while dry land has become practically exhausted. Lagos had an estimated population of about 17.16 million in 2025, growing at 3.75% per year [1]. A large share of the urbanised area lies less than 5 m above sea level, and limited room for outward expansion makes reclamation both necessary and geotechnically significant. Lekki, Victoria Island, Ikoyi and Banana Island were originally swampy or waterlogged and are now extensively developed. Notable reclamation projects include Eko Atlantic City, where 652 ha of a planned 1,000 ha (65%) had been reclaimed by May 2025 [2, 3, 4], the Lekki Foreshore Scheme, Orange Island, and the Alaguntan/Okunkobo/Olomometa area of Ojo Local Government Area [5, 6].
Reclamation involves site investigation, assessment of the fill material (dredged sand or sand from borrow pits) and compaction [7]. The placement method (dry filling, hydraulic filling, direct dumping or sand spreading) depends on water depth, soil strength and available fill, and it directly affects the density and quality of the resulting ground. Reclaimed soils are characteristically of low density, non-uniform, and may contain organic matter, with high moisture content and compressibility, so they are more prone to settlement and lower bearing capacity than natural, undisturbed soils. Organic matter such as peat holds water and decomposes over time, leaving voids that weaken the soil and increase its compressibility [8]. Comparable problems are documented elsewhere. Hong Kong has about 7,000 ha of reclaimed land [9], where hydraulically placed fill over soft marine clay is prone to bearing failure and settlement because of low shear strength and high compressibility [10]; at Changi East, Singapore, vertical drains and surcharge were used to consolidate the soft marine clay beneath dredged sand fill [11].
Lagos Island lies within the Benin Formation and recent littoral and lagoon alluvial deposits [12]. The pre-reclamation ground consists of loose sand to about 4 m, soft and peaty clay to about 6 m, and organic clay with carbonised vegetable matter within this sequence, with medium to very dense sand containing traces of gravel commonly found at about 30 m [12]. Peat can be 5 to 20 times more compressible than soft clay [13], so shallow foundations on or near it are risky and deep foundations are usually preferred.
1.2In situ testing and bearing capacity
The Standard Penetration Test (SPT) drives a split-spoon sampler with a 63.5 kg hammer dropped from 750 mm; the number of blows for the last 300 mm of a 450 mm drive is the N-value [14]. The test is operator- and equipment-dependent, with coefficients of variation of 15–30% reported between rigs, drillers and borehole conditions, and it performs poorly in soft clays and in dense gravels [15]. The Cone Penetration Test (CPT) pushes an electronic cone at 2 cm/s while continuously recording cone resistance (qc) and sleeve friction (fs) [16]. It provides continuous and repeatable data, but its equipment is costly and requires expert operators, so the SPT remains in wide use. Bearing capacity can be computed from SPT data through the friction angle using Terzaghi’s [17] or Meyerhof’s [18] equations, or directly from qc [19].
1.3SPT–CPT correlation studies
Robertson et al. [20] established that the ratio qc/N increases with mean grain size (D50); this relationship is the usual baseline for later studies. Danziger et al. [21] obtained a representative qc/N60 of 0.39 MPa for Brazilian soils using a geostatistical (semivariogram) approach. Kara and Gündüz [22] found low qc/N correlation coefficients (0.29–0.51) for the heterogeneous soils of Adapazarı, Turkey, giving ratios below literature values. Akça [23] recommended qc/N of 0.30–0.45 MPa for the United Arab Emirates, higher than widely reported values because of cementation, densification and shelly structure. These studies show that qc/N varies from region to region with soil structure and composition, so a ratio established in one region cannot be assumed valid in another.
1.4Research problem, gap and objectives
When only one of SPT and CPT is available, because of client budget, time pressure or equipment availability, engineers commonly estimate the other from a published generic ratio [20] and use it to compute bearing capacity. Reclaimed soils in Lagos Island consist of loose dredged sand, medium dense sand, sandy clay, organic clay and peat pockets that are unevenly compacted and overlie soft marine deposits, whereas the published ratios were derived from natural soils elsewhere. An overestimate of strength risks under-design and foundation distress; an underestimate causes over-design and unnecessary cost. The reviewed studies were all carried out on natural soils in Turkey, Brazil and the United Arab Emirates, and no test of the ratio on Lagos Island reclaimed soils was found.
This study therefore assesses the validity of published generic SPT–CPT correlation ratios for bearing capacity prediction of reclaimed soils in Lagos Island. Its objectives are (i) to determine the bearing capacity of reclaimed soil at six sites using SPT-based and CPT-based methods; (ii) to determine the site-derived ratio qc/N and compare it with published ratios; and (iii) to ascertain the validity and reliability of the published ratios for predicting the bearing capacity of these soils. If the published ratios applied to these soils, most site-derived ratios would be expected to fall within the published range and the SPT-based and CPT-based capacities would be expected to agree; the study tests this expectation.
2Methods
The study followed the workflow shown in Figure 1: data collection, calculation of bearing capacity by SPT-based and CPT-based methods, comparison of the site-derived qc/N with published ratios, comparison of the two bearing capacity estimates, and assessment of the validity of the published ratios.
2.1Study area and sites
For this study, Lagos Island refers to the broader island landmass comprising Lagos Island proper, Ikoyi, Victoria Island, Lekki and Sangotedo, which lie on the same island system but span the Lagos Island and Eti-Osa Local Government Areas and are bounded by lagoons, the Atlantic Ocean and rivers [5]. Reclamation of Ikoyi (258 acres) began in 1918, with physical development from 1925 [24]. The eastern swamps of Victoria Island were sand-filled from about 1948 [25], and the shallow swamplands of Lekki were reclaimed in the 1990s [26]. Six sites (A–F) were studied (Table 1). Sites A, B and F lie on older reclaimed land (1920s–1940s) and Site C on land reclaimed in the 1990s; the reclamation dates of Sites D and E were not documented.
| Site | Location | Development | Reclamation period |
|---|---|---|---|
| A | Ikoyi | Proposed residential | Older (1920s–1940s) |
| B | Victoria Island | Proposed residential | Older (1920s–1940s) |
| C | Lekki | Residential | 1990s |
| D | Sangotedo | Proposed residential | Not documented |
| E | Sangotedo | Residential | Not documented |
| F | Ikoyi | Proposed commercial (7-storey) | Older (1920s–1940s) |
2.2Data sources
A quantitative, comparative design was adopted using secondary data from existing geotechnical investigation reports prepared by licensed consultancy firms, including the Lagos State Materials Testing Laboratory; no new field investigation was carried out. The reports were obtained from the consultancy firms, the laboratory and clients. For each site, SPT N-values and CPT qc and fs values at different depths, together with borehole logs, were extracted and tabulated. N-values and qc values were cross-checked against the depths recorded in the borehole logs, and missing or incomplete data were excluded for the specific point. Site E had the largest dataset (20 boreholes and 20 CPTs). Where CPT data were presented only as graphs (Site D), values were read from the plots, and for Site C qc was back-calculated from the reported allowable bearing capacity. Values reported in different units were converted using 1 kg/cm2 = 98.07 kPa = 0.0981 MPa.
2.3SPT-based bearing capacity
The ultimate bearing capacity was computed with Meyerhof’s general bearing capacity equation [18, 27]:
where c is cohesion, q = γDf is the surcharge pressure, γ is the unit weight, B is the footing width, Nc, Nq and Nγ are bearing capacity factors that depend on the friction angle φ, and s, d and i are shape, depth and inclination factors. The soils were treated as cohesionless (c = 0) with shape, depth and inclination factors taken as 1, γ = 18 kN/m³, and a uniform footing of B = 1.5 m at Df = 1.5 m was assumed at all sites for comparability. Because φ cannot be measured by SPT, it was estimated from the N-value with the correlation of Peck et al. [28]:
and Meyerhof’s factors for the resulting φ were used. The allowable bearing capacity followed from
As a worked example, Site A (N = 10) gives φ = 27.1 + 3.0 − 0.054 = 30.05°, and Meyerhof’s factors for this angle are Nc = 30.25, Nq = 18.50 and Nγ = 15.79. With q = 18 × 1.5 = 27 kPa, qu = 27 × 18.50 + 0.5 × 18 × 1.5 × 15.79 = 712.6 kPa and qa = 712.6/3 = 237.5 kPa (Table 3).
Representative N-values were taken from the competent bearing stratum at or near the founding depth recommended in each site’s report, so that the analysis reflects realistic foundation conditions. N-values were used as reported in the consultants’ investigation reports; the reports do not state whether energy or overburden corrections had been applied. For the depth analysis (Sites A, C and D), Df was taken as the test depth, and the sensitivity of qa to footing width was examined for B = 1–3 m at Sites A and F.
2.4CPT-based bearing capacity
The allowable bearing pressure was computed directly from cone resistance with the method of Meyerhof [19] for a settlement of 25 mm and footing width B > 1 m:
with qa and qc in kg/cm2 and B in metres (B = 1.5 m), converted to kPa. Representative qc values were taken from the competent stratum at or near the recommended founding depth. Because each site was investigated independently by a different consultant, the depths at which CPT data are available differ from site to site.
For Site A (qc = 45 kg/cm2, B = 1.5 m), qa = (45/50)(1 + 1/1.5)2 = 2.5 kg/cm2 = 245.2 kPa (Table 4).
2.5Site-derived correlation ratio and statistical analysis
For each site the ratio qc/N (MPa) was calculated from the representative qc (converted to MPa) and N. The site-derived ratio is the mean of the six site values. Variability was expressed by the sample standard deviation (s, n − 1 degrees of freedom), the coefficient of variation (CoV = s/mean × 100), the standard error of the mean (SEM = s/√n) and the 95% confidence interval (mean ± t × SEM, with t = 2.571 for 5 degrees of freedom [29]). The deviation of the site-derived mean from the published ratios was expressed as a percentage, and a two-sided one-sample t-test (α = 0.05, 5 degrees of freedom) compared the site-derived mean with the Danziger et al. value (0.39 MPa) and with the midpoint of the Akça range (0.375 MPa).
3Results
3.1Subsoil conditions
Subsoil conditions varied considerably across the sites (Table 2). Site A (Ikoyi) has the thickest weak layer, 23 m of organic clay, and Site C (Lekki) the thinnest, a 3 m clay layer. Site D contains 5.5 m of peat and a separate clay band, and Site E a 1.5–4.5 m clay band sandwiched within the profile. Sites B and F consist entirely of sand. Sites A and F, both in Ikoyi, show opposite conditions: 23 m of organic clay at Site A and sand only at Site F.
| Site | Weak layer | Thickness (depth range) | Foundation recommended in original report |
|---|---|---|---|
| A | Organic clay | 23 m (6.0–29.25 m) | Bored pile at 38.0 m |
| B | None (all sand) | – | Raft at 1.0–1.5 m or pile at 7.0 m |
| C | Organic clay | 3 m (6.0–9.0 m) | Bored pile at 14–15 m |
| D | Peat and clay | 5.5 m peat + 2.55 m clay | Piles at 12 and 22 m |
| E | Sandwiched clay band | 1.5–4.5 m (about 12–17 m depth) | Piles at 9, 19 and 21 m |
| F | None (all sand) | – | Bored pile at 14 m |
3.2SPT-based bearing capacity
Table 3 gives the SPT-based results for the representative depths. The allowable bearing capacity ranged from 237.5 kPa (Site A) to 404.5 kPa (Site F). Sites C and D gave 347.0 and 360.5 kPa, whereas Site E gave 256.1 kPa and Site B 276.2 kPa. The two Ikoyi sites (A and F) gave the lowest and highest values of the six.
| Site | N | φ (°) | Nc | Nq | Nγ | qu (kPa) | qa (kPa) |
|---|---|---|---|---|---|---|---|
| A | 10 | 30.0 | 30.25 | 18.50 | 15.79 | 712.6 | 237.5 |
| B | 14 | 31.2 | 33.19 | 21.10 | 19.19 | 828.7 | 276.2 |
| C | 20 | 32.9 | 38.25 | 25.73 | 25.65 | 1041.0 | 347.0 |
| D | 21 | 33.2 | 39.18 | 26.60 | 26.91 | 1081.6 | 360.5 |
| E | 12 | 30.6 | 31.68 | 19.75 | 17.41 | 768.4 | 256.1 |
| F | 24 | 34.0 | 42.12 | 29.40 | 31.09 | 1213.5 | 404.5 |
3.3CPT-based bearing capacity and comparison with SPT
The CPT-based allowable bearing capacity ranged from 245.2 kPa (Site A) to 653.8 kPa (Site F) (Table 4), so Site F ranks highest and Site A lowest under both methods. The two methods agreed closely only at Site A (+3.2%). At the other sites the CPT-based value was higher by 61.6–131.8%, except at Site C, where the SPT-based value was higher (−21.5%) (Figure 2). At Site A the N-value (1.5 m) and qc (13.0 m) came from different depths yet the capacities agreed, whereas at Site B both came from the same layer (2.25–8.25 m) and differed by 131.8%.
| Site | CPT data source | qc (kg/cm2) | qa CPT (kPa) | qa SPT (kPa) | Difference (kPa) | Difference (%) |
|---|---|---|---|---|---|---|
| A | CPT2 at 13.0 m | 45 | 245.2 | 237.5 | 7.7 | +3.2 |
| B | Area A, 2.25–8.25 m layer (midpoint) | 117.5 | 640.2 | 276.2 | 364.0 | +131.8 |
| C | CPT2 at 1.75 m (back-calculated) | 50 | 272.4 | 347.0 | −74.6 | −21.5 |
| D | P1 at 10.0 m (read from graph) | 115 | 626.5 | 360.5 | 266.0 | +73.8 |
| E | BH1, 2.25–12.75 m layer (midpoint) | 100 | 544.8 | 256.1 | 288.7 | +112.7 |
| F | Layer II average (report-stated) | 120 | 653.8 | 404.5 | 249.3 | +61.6 |
Difference = (CPT-based − SPT-based) / SPT-based.
3.4Variation with depth and footing width
Table 5 and Figure 3 show the SPT-based capacity with Df taken as the test depth. Capacity increased with depth at Sites A and C. At Site D it fell sharply at 18 m (N = 5), where the borehole log shows a clay layer, from 2983.0 kPa at 15 m to 1751.6 kPa. The CPT profiles read from the penetrometer graphs for Sites A and D are summarised in Table 6 and show the same contrast between weak and competent strata.
| Site | Depth (m) | N | qa (kPa) |
|---|---|---|---|
| A | 1.5 | 10 | 237.5 |
| A | 3.0 | 11 | 418.7 |
| A | 37.5 | 10 | 4233.0 |
| A | 39.0 | 13 | 4859.3 |
| A | 40.0 | 14 | 5150.1 |
| C | 6.0 | 10 | 737.0 |
| C | 9.0 | 6 | 934.6 |
| C | 13.5 | 20 | 2199.8 |
| C | 18.0 | 27 | 3672.1 |
| C | 24.0 | 32 | 5744.2 |
| D | 1.5 | 3 | 182.7 |
| D | 9.0 | 6 | 934.6 |
| D | 15.0 | 26 | 2983.0 |
| D | 18.0 | 5 | 1751.6 |
| D | 25.5 | 28 | 5312.6 |
| Site | Depth (m) | qc (kg/cm2) | qa (kPa) | Stratum |
|---|---|---|---|---|
| A | 0.0–3.25 | 15–160 | 82–872 | Medium dense sand |
| A | 4.5–13.0 | 8–45 | 44–245 | Sandy clay / organic clay |
| D | 0.5–6.5 | 8–10 | 44–55 | Peat |
| D | 7.5–10.2 | 30–115 | 163–627 | Sand |
Table 7 shows that qa increases with footing width at both Site A (lowest capacity) and Site F (highest), because the Nγ term scales with B. Site F exceeds Site A at every width, so the assumed B = 1.5 m does not change the ranking of the sites.
| B (m) | Site A, qa (kPa) | Site F, qa (kPa) |
|---|---|---|
| 1.0 | 213.8 | 357.9 |
| 1.5 | 237.5 | 404.5 |
| 2.0 | 261.2 | 451.1 |
| 2.5 | 284.9 | 497.7 |
| 3.0 | 308.6 | 544.4 |
3.5Site-derived SPT–CPT correlation ratio
The site-derived qc/N values are given in Table 8. They range from 0.245 MPa (Site C) to 0.823 MPa (Site B), a more than three-fold difference between two sites on the same island system, with a mean of 0.559 MPa. The standard deviation is 0.225 MPa and the coefficient of variation is 40.3%, indicating large variability. Table 9 gives the additional statistics; the 95% confidence interval of the mean is 0.323–0.795 MPa, and the one-sample t-tests found no significant difference between the mean and either published value (p = 0.126 and 0.102).
| Site | N | qc (kg/cm2) | qc (MPa) | qc/N (MPa) |
|---|---|---|---|---|
| A | 10 | 45 | 4.413 | 0.441 |
| B | 14 | 117.5 | 11.523 | 0.823 |
| C | 20 | 50 | 4.903 | 0.245 |
| D | 21 | 115 | 11.278 | 0.537 |
| E | 12 | 100 | 9.807 | 0.817 |
| F | 24 | 120 | 11.768 | 0.490 |
| Statistic | Value |
|---|---|
| Minimum | 0.245 MPa (Site C) |
| Maximum | 0.823 MPa (Site B) |
| Range | 0.578 MPa |
| Median | 0.514 MPa |
| Mean | 0.559 MPa |
| Standard deviation | 0.225 MPa |
| Standard error of the mean | 0.092 MPa |
| Coefficient of variation | 40.3% |
| 95% confidence interval | 0.323–0.795 MPa |
| One-sample t-test vs. 0.39 MPa | t = 1.83, df = 5, p = 0.126 |
| One-sample t-test vs. 0.375 MPa | t = 2.00, df = 5, p = 0.102 |
The site-derived mean is 43.3% higher than the Danziger et al. value [21] and 49.1% higher than the midpoint of the Akça range [23] (Table 10, Figure 4). Only Site A (0.441 MPa) falls within the published UAE range. Site C (0.245 MPa) lies below it, Sites B (0.823 MPa) and E (0.817 MPa) lie far above it, and Sites D (0.537 MPa) and F (0.490 MPa) lie moderately above it.
4Discussion
4.1SPT-based versus CPT-based bearing capacity
The two methods rank the sites consistently at the extremes (Site F highest, Site A lowest) but disagree strongly in magnitude at most sites, with differences from −21.5% to +131.8% (Table 4). Because depth matching does not explain the pattern, the scatter is attributed mainly to the operator and equipment dependence of the SPT, which causes local variability and testing inconsistency even within the same sand layer, whereas the CPT gives more continuous and repeatable data [15]. The two calculations are also not strictly equivalent: the SPT-based value is a strength-based capacity divided by a factor of safety, whereas the CPT-based value is the allowable pressure for 25 mm settlement, so part of the difference may arise from the methods themselves. The SPT-based capacity also varies widely over short distances: the two Ikoyi sites gave the lowest (Site A, 237.5 kPa) and highest (Site F, 404.5 kPa) values, which reflects differences in the density of the sand layer rather than location or reclamation age.
4.2Depth profiles and foundation recommendations
The depth profiles show that clay and peat layers sharply reduce bearing capacity (Figure 3, Table 6), so representative values must be taken from the competent stratum, as was done here. The presence of clay or peat does not follow reclamation age: Sites A and F, both in Ikoyi, show opposite conditions, so soil variability is site-specific rather than area-wide.
The calculated capacities at the competent strata were consistent with the foundation types recommended in the original reports (Tables 2 and 11): piles founded below the weak layers at Sites A, C, D and E, and a shallow raft at the sand-only Site B. At Site F, piles were recommended because of the heavy load of the proposed 7-storey building rather than weak soil; the calculations show Site F to be the strongest of the six sites. Bearing capacity alone therefore does not determine foundation type, since the anticipated structural load is also decisive.
| Site | Consultant’s recommendation | Reason given | Finding of this study | Consistent? |
|---|---|---|---|---|
| A | Bored pile at 38.0 m | Weak organic clay (23 m); high water table | qa = 237.5 (SPT) and 245.2 kPa (CPT) | Yes |
| B | Shallow raft at 1.0–1.5 m | No weak layer; competent sand near surface | qa = 276.2–640.2 kPa; strong shallow stratum | Yes |
| C | Bored pile at 14–15 m | Clay layer (3 m) over loose sand | qa = 347.0 (SPT) and 272.4 kPa (CPT) | Yes |
| D | Piles at 12 and 22 m | Thick peat (5.5 m) and deep clay band | qa fell sharply at 18 m (clay) and recovered in sand at the pile depths | Yes |
| E | Piles at 9, 19 and 21 m | Sandwiched clay band (about 12–17 m) | qa = 256.1–544.8 kPa at the competent stratum below the clay band | Yes |
| F | Bored pile at 14 m | Heavy 7-storey commercial load (not weak soil) | Highest qa of all sites (404.5–653.8 kPa); piling is load-driven | Yes |
4.3Validity of the published correlation ratios
Three findings indicate that the published generic ratios are not reliable for reclaimed soils in Lagos Island. First, the ratio varies greatly between sites (CoV = 40.3%, range 0.245–0.823 MPa), even between neighbouring sites with very different subsoil, so no single ratio can represent the area. Second, only one of the six sites (Site A) falls within the published range, and the site-derived mean is 43–49% higher than the published values. Third, the SPT and CPT results disagree substantially at most sites. Applying the published ratios directly would therefore give inaccurate estimates of bearing capacity and lead to either over-design or under-design.
The one-sample t-tests did not reject equality of the mean with either published value (p = 0.13 and 0.10). With only six sites and a coefficient of variation of 40.3% the test has little power, so the conclusion that the ratios are unreliable rests on the site-to-site scatter and on the fact that only one site falls within the published range, not on a significant difference of means. The published values are not statistically impossible: the Danziger et al. value (0.39 MPa) and part of the Akça range (0.30–0.45 MPa) lie within the 95% confidence interval (0.323–0.795 MPa), but only near its lower boundary. They therefore represent an atypical, low-end case for Lagos Island rather than a representative one, particularly as the mean (0.559 MPa) is well above them. Table 12 compares the results with previous studies. The high site-to-site variability is consistent with the international pattern: Kara and Gündüz [22] likewise found low and inconsistent correlation coefficients in heterogeneous soils, which suggests that reclaimed or heterogeneous soils generally resist characterisation by a single ratio.
| Study | Soil and location | Reported result | Comparison with this study |
|---|---|---|---|
| Robertson et al. [20] | Natural soils | qc/N increases with D50 | Baseline relationship; grain size not available for the sites here |
| Danziger et al. [21] | Brazilian soils | 0.39 MPa (qc/N60) | Site-derived mean is 43.3% higher |
| Kara and Gündüz [22] | Heterogeneous soils, Adapazarı, Turkey | Correlation coefficients 0.29–0.51 | Consistent: heterogeneous ground gives inconsistent correlations |
| Akça [23] | United Arab Emirates | 0.30–0.45 MPa | Site-derived mean is 49.1% higher than the midpoint; only Site A is within the range |
| This study | Reclaimed soils, Lagos Island | Mean 0.559 MPa (0.245–0.823) | – |
4.4Practical implications
Where only SPT data are available and no site-specific CPT exists, the ratios from this study can give an indicative estimate of qc from N. Table 13 illustrates this for typical N-values using the lower bound, the mean and the upper bound of the 95% confidence interval. The wide spread between the bounds (about 2.5 times) shows how uncertain such an estimate is. These values are suitable for planning, feasibility and preliminary design only, and the lower bound should be preferred for a conservative estimate. They are not a substitute for site-specific testing before final design.
| N | Lower bound (0.323 MPa) | Mean (0.559 MPa) | Upper bound (0.795 MPa) |
|---|---|---|---|
| 10 | 3.23 | 5.59 | 7.95 |
| 20 | 6.46 | 11.18 | 15.90 |
| 30 | 9.69 | 16.77 | 23.85 |
4.5Limitations
The study relies on the accuracy of existing investigation reports prepared by others, and six sites cannot represent all reclaimed areas of Lagos or other coastal regions. The results reflect conditions at the test points only. SPT and CPT data were not always available at the same depths. At Site A, the N-value (1.5 m, in the shallow sand) and qc (13.0 m) were taken at different depths; the CPT depth falls within the depth range of the sandy and organic clay layer (4.5–13.0 m), and the CPT report remarks low bearing capacity and submerged foundation conditions there, so the Site A ratio compares different strata. At Site C, the N-value (13.5 m) and the CPT value (1.75 m) were taken at different depths, and the recommended pile founding depth below the clay is 14–15 m. Some CPT data (Site D) were read from graphs, and one qc value (Site C) was back-calculated from the reported capacity; consultants used different formats and units, which required conversion. The reports do not state whether the N-values were energy-corrected, whereas Danziger et al. [21] report qc/N60, so the comparison with that value is approximate. In the SPT-based calculations the unit weight was taken as 18 kN/m³ and groundwater was not considered, which may overestimate capacity where the water table is high. A uniform footing was assumed for comparability, and full foundation design and settlement were not considered.
5Conclusion
This study assessed the validity of published SPT–CPT correlation ratios for reclaimed soils at six sites in Lagos Island. The main findings are:
- Subsoil conditions varied from sand only (Sites B and F) to clay or peat layers 1.5–23 m thick (Sites A, C, D and E).
- SPT-based allowable bearing capacity ranged from 237.5 to 404.5 kPa and CPT-based capacity from 245.2 to 653.8 kPa; the two agreed within +3.2% at Site A but differed by up to +131.8% at Site B.
- The site-derived qc/N had a mean of 0.559 MPa, a range of 0.245–0.823 MPa, a coefficient of variation of 40.3% and a 95% confidence interval of 0.323–0.795 MPa; only one of six sites lay within the published range, although a one-sample t-test did not detect a significant difference between the mean and the Danziger et al. value (p = 0.13).
- Published generic SPT–CPT correlation ratios are therefore not reliable for predicting the bearing capacity of reclaimed soils in Lagos Island, since only one of the six sites fell within the published range. To the authors’ knowledge, this is the first locally derived qc/N ratio for these soils and the first documented evidence of this.
Based on these findings it is recommended that:
- Both SPT and CPT should be carried out; the cost of the additional test is small compared with the cost of over-designing a foundation or of repairing or reconstructing an under-designed one.
- Regulatory bodies such as the Lagos State Materials Testing Laboratory and the Council for the Regulation of Engineering in Nigeria (COREN) should consider adopting these locally derived values.
- Site-specific studies should be conducted before generic ratios are trusted anywhere in Lagos Island.
- Where site-specific data are genuinely unavailable, the mean (0.559 MPa) may serve as the best single estimate for general planning, feasibility and preliminary design; the lower bound (0.323 MPa) should be preferred when converting N to qc for a conservative estimate at final design; and both bounds (0.323–0.795 MPa) should be used for a sensitivity check. This range is a fallback, not a replacement for site-specific testing.
Further studies should (i) use more sites for a statistically more robust ratio; (ii) examine other parts of Lagos, including the mainland and other Local Government Areas; (iii) explore other correlation methods and parameters such as settlement prediction; and (iv) investigate the relationship between anticipated structural load and foundation type on reclaimed soil.
Nomenclature
- B: footing width (m)
- N: SPT N-value (blows per 300 mm)
- Df: founding depth (m)
- N60: energy-corrected N-value
- γ: unit weight (kN/m³)
- φ: friction angle (°)
- qc: CPT cone resistance
- fs: CPT sleeve friction
- qu, qa: ultimate and allowable bearing capacity
- Nc, Nq, Nγ: bearing capacity factors
- FS: factor of safety
- CoV, SEM: coefficient of variation, standard error of the mean
- CI: confidence interval
- SPT, CPT: standard and Cone Penetration Tests
Acknowledgment
The authors thank the Lagos State Materials Testing Laboratory, Tamar Works Nigeria Limited, Strato-Tek Limited, Petraph Earthsources Limited, Continental Civil & General Construction Co. Ltd and D.F. Geo Engineering Limited for access to geotechnical investigation data.
Declarations
Author contributions. O.S.A.: conceptualization, data curation, formal analysis, investigation, methodology, visualization, writing – original draft. F.O.A.: supervision, validation, writing – review and editing.
Conflicts of interest. The authors declare no conflict of interest.
Funding. This research received no external funding.
Data availability. The geotechnical data analysed were obtained from third-party investigation reports supplied by the consultancy firms acknowledged above and are not publicly available because of confidentiality. Processed values supporting the findings are given in the tables of this paper; further data may be made available by the corresponding author on reasonable request, subject to permission from the data owners.
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