Abstract
The use of first order reliability method to assess reddish brown tropical soils as potential materials for liners and covers was studied. A procedure was developed by studying the effects of compactive effort, coefficient of variation and compositional variables like initial saturation, plasticity index and clay content on reliability indices. Three compactive efforts namely British Standard Light (BSL), West African Standard (WAS), British Standard Heavy (BSH) were employed. The F-values of the treatment for the various variables has the highest value for hydraulic conductivity (F = 178), followed by plasticity index (F = 83.7) while the lowest is Clay (F = 12.87). Similarly, with respect to the compactive effort, the F-value for hydraulic conductivity is highest (F = 73,358) followed by plasticity index (F = 4329.6), then clay content (F = 423.12) while the lowest is initial saturation (F = 29.78). BSH should be used in order to attain a minimum hydraulic conductivity (K ≤ 10−7 cm/s) in the field. WAS can also be used with careful control but an equivalent of BSL should never be used. Generally, the F-values for the compactive effort are higher than those of coefficient of variation, showing the superiority of compactive effort over coefficient of variation on the reliability indices. All the calculated F-values are greater than the F-critical or F-tabulated, which inferred that the effect of these variables is statistically significant. Hence, the reliability model used in this research work is suitable for stochastic modeling of reddish brown soils as suitable material for a landfill liner.
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References
Afolayan JO (1996) Reliability of glued joints in timber truss construction. In: Proceedings of the third national conference of College of Engineering, Kaduna Polytechnic, pp 1–10
Afolayan JO (1998) Optimum structural dimensions for fire resistance in reinforced concrete construction. J Eng Appl Sci 17(2):13–19
Afolayan JO, Nwaiwu CMO, Osinubi KJ (2005) Comparative reliability evaluation of lateritic soils as hydraulic barriers. Geotech Geol Eng 23(5):561–581
Ahner C, Soukhov D and Konig G (1998) Reliability aspects of design of combined piled-raft foundation (CPRF).’ Second international Ph.D symposium in civil engineering, Budapest, pp 1–8
Ang AII-S, Corell CA (1974) Reliability bases of structural safety and design’. J Struct Div ASCE 100:1755–1769
Bello AA (2012) Geotechnical evaluation of reddish brown tropical soil. J Geotech Geol Eng 30(2):481–498
Benson CH (1993) Probability distributions for hydraulic conductivity of compacted soil liners. J Geotech Eng ASCE 119(3):471–486
Benson CH and Daniel DE (1994) Minimum thickness of compacted soil liners: I. Stochastic models. J Geotech Eng ASCE, 120(1):129–152
Benson CH, Trast J (1995) Hydraulic conductivity of thirteen compacted clays. Clay Clay Miner 43(6):669
Benson CH, Zhai H, Rashad SM (1994) Statistical sample size for construction of soil liners. J Geotech Eng ASCE 120(10):1704–1728
Benson CH, Daniel DE, Boutwell GP (1999) Field Performance of compacted clay liners. J Geotech Geoenviron Eng ASCE 5:390–403
Boadu FK (2000) Hydraulic conductivity of soils from grain size distribution: new models. J Geotech Geoenviron Eng ASCE 126(8):739–746
Bogardi I, Kelly WE, Bardossy A (1989) Reliability model for soil liners: post construction. J Geotech Eng ASCE 116(10):1502–1520
Boutwell GP and Hedges C (1989) Evaluation of waste-retention liners by multivariate statistics. In: Proceedings of twelfth international conference on soil mechanics and foundation engineering, international committee on SMFE/A.A. Balkema, Rotterdam, pp 815–818
Chaudhuri A, Sekhar M (2005) Probabilistic analysis of pollutant migration from a landfill using stochastic finite element method. J Geotech Environ Eng ASCE 131(8):1042–1049
Christian JT, Baccher GB (2001) Discussion of factor of safety and reliability in geotechnical engineering. J Geotech Geoenviron Eng ASCE 127(8):700–703
Christian JT, Ladd CC, Baccher GB (1994) Reliability applied to slope stability analysis. J Geotech Eng ASCE 120(12):2180–2207
Coduto DP (2003) Geotechnical engineering, principles and practice. Prentice-Hall, New Delhi, pp 137–155
Daniel DE (1984) Predicting hydraulic conductivity of clay liners. J Geotech Eng ASCE 110(2):285–300
Daniel DE (1993) Introduction. In Daniel DE (ed) Geotechnical practice for waste disposal. Chapman and Hall, London, pp 1–14
Das BM (2006) Principle of geotechnical engineering, 6th edn. Thompson, Canada pp 686
De Grrot DJ and Baecher GB (1993) Estimating auto-covariance of in situ soil properties. J Geotech Eng ASCE, 119(1):147–166
Duncan JJ (2000) Factor of safety and reliability in geotechnical Engineering. J Geotech Geoenviron Eng ASCE 126(4):307–316
EPA (1989) Requirements for hazardous waste landfill: design, construction, and closure. Publication no. EPA-625/4-89-022, Cincinnati, Ohio, US Environmental Protection Agency
Gilbert RB and Tang WH (1995) Reliability-based design for waste containment systems, Geoenvironment 2000, Geotechnical Special Publication, ASCE, 46:499–513
Gollwitzer S, Abdo T, Rackwitz R (1988) First order reliability method (FORM) user’s manual. Munich, p 47
Grigoriu M (1983) Reliability of chain and ductile-parallel systems. J Eng Mech ASCE 109(5):1175–1188
Gui S, Zhang R, Turner JP, Xue X (2000) Probabilistic slope stability analysis with stochastic soil hydraulic conductivity. J Geotech Geoenviron Eng ASCE 126(1):1–9
Halim IS and Tang WH (1991) Reliability of undrained clay slope considering geologic anomaly. In: Proceedings of the sixth international conference on applications of statistics and probability in soil and structural engineering, Mexico City, Mexico, pp 776–783
Harrop-Williams K (1985) Clay liner permeability: evaluation and variation. J Geotech Eng ASCE 117(2):241–271
Holtz RD, Kovacs WD (1981) An Introduction to geotechnical engineering. Prentice-Hall, Eaglewoods p 733
Ibeanu JM (1999) Reliability evaluation of the serviceability limit states of reinforced concrete slabs. Unpublished B. Eng. Thesis, Ahmadu Bello University, Zaria
Lambe TW, Whitman RV (1979) Soil mechanics, SI version. Wiley, New York p 553
Nwaiwu CMO, Afolayan JO, Osinubi JK (2009) Reliability estimates of field hydraulic conductivity of compacted lateritic soils. Cont J Eng Sci 4:36–47
Oweis IS, Khera RJ (1998) Geotechnology of waste management, 2nd edn. International Thomson Publishing, Boston pp 472
Patev CR, Schaaf DM, Foster JL, and Baecher GB (2006) Modeling the reliability of New Orleans leaves.’ Reliability in Geotechnics Geo-Strata GEO INSTITUTE-ASCE, pp 12–15 Sept/Oct. 2006
Punmia BC, Jain AK and Jain AK (2005) Soil Mechanics and foundations, 16th edn. Laxmi Publications (P) Ltd, New Delhi, pp 111–131
Rackwitz R, Fiessler B (1978) Structural reliability under combined load sequences. Comput Struct 9:489–494
Rogowski AS (1990) Relationship of laboratory-and field-determined hydraulic conductivity in compacted clay liner. EPA/600/2-90:0225. US Environmental Protection Agency, Cincinnati, Ohio
Ronold KO, Bysveen S (1992) Probabilistic stability analysis for deep-water foundation. J Geotech Eng ASCE, 118(3):394–405
Rowe RK, Fraser MJ (1995) Effect of uncertainty in the assessment of the potential impact of waste disposal facilities. Geoenvironment 2000, Proceedings of ASCE specialty conference, geotechnical special publication, New Orleans, Louisiana, February, 1:270–284
Tang WH, Stark TD, Angulo M (1999) Reliability in back analysis of slope failures. Soil and foundations, Jpn Geotech Soc, 39(5):73–80
Thoft-Christensen P, Baker MJ (1982) Structural reliability theory and its applications. Springer, Berlin
Wang MC, Huang CC (1984) Soil compaction and permeability prediction models. J Environ Eng ASCE 110(6):1063–1083
Whitman RV (2000) Organizing and evaluating uncertainty in geotechnical engineering. J Geotech Geoenviron Eng ASCE 126(7):583–593
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Bello, A.A. Reliability Assessment of Reddish Brown Tropical Soil as a Liner Material. Geotech Geol Eng 31, 35–45 (2013). https://doi.org/10.1007/s10706-012-9558-6
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DOI: https://doi.org/10.1007/s10706-012-9558-6