APPLICATION OF POLYNOMIAL REGRESSION ANALYSIS IN MODELLING OF THE COEFFICIENT OF CONSOLIDATION OF AWKA SOIL

Esther C. Ukeje, Charles C. Ike, Nonso C.H. Okeke, Chidozie C. Ikpa

Abstract


The coefficient of consolidation is an important compressibility parameter that can be calculated by plotting the change in height against the logarithm or square root of time obtained from One dimensional consolidation test using Oedometer. This process consumes time and requires great effort. On the other hand, an atterberg limit test costs less and saves time. Hence the need to generate models that can define coefficient of consolidation as a function of atterberg limit (liquid limit, plastic limit, and plasticity index). A total of ten soil samples were gathered from different locations in Awka Anambra State and its environs, and investigated in the laboratory. Subsequently, a sixth degree polynomial regression software using Excel spreadsheet was used to determine three polynomial regression equations relating coefficient of consolidation and liquid limit, coefficient of consolidation and plastic limit, and coefficient of consolidation and plasticity index for the soil. The sixth degree polynomial regression equations obtained for Cv in terms of LL gave coefficient of determination (R2)equal to 0.9933,while Cv in terms of PL yielded R2 equal to 0.4759, and Cv in terms of PI gave R2 equal to 0.9937. Having shown strong correlation, the obtained models relating Cv with LL and Cv with PI can help predict coefficient of consolidation without conducting Oedometer test.

 

KEYWORDS: Coefficient of consolidation, Atterberg limit, Index properties, Regression, Coefficient of determination


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References


. Sridharan, A and Nagaraj, H. B.(2004). “ Coefficient of Consolidation and its Correlation with Index Properties of Remolded Soils’’. Geotechnical Testing Journal, 27(5), 1-6 (2004).

. Devi, S. P., Devi, K. R., Prasad, D.S.V., and Prasada Raju, G.V. R. (2015), Study on Consolidation and Correlation with Index Properties of Different Soils in Manipur Valley, International Journal of Engineering Research and Development, 11(5), PP. 57–63.

. Jadhav, G. (2016). ‘‘Establishing Relationship between Coefficient of Consolidation and Index Properties/Indices of Remoulded Soil Samples’’. International Journal of Advanced Research in Science and Engineering, 5(12), 299-309(2016). .

. Asma Y. A-Tae’e and Abbas F. Al-Ameri(2011). ‘‘Estimation of Relation between Coefficient of Consolidation and Liquid Limit of Middle and South Iraqi Soils’’. Journal of Engineering, 17(2), 430-440.

. Solanki, C. H., Desai, M. D., and Desai, J. A.(2010). ‘‘Quick Settlement Analysis of Cohesive Alluvium Deposits using New Empirical Correlations’’. Journal of Civil Engineering Research and Practice. 7(2),49-58.

. Kok Shien Ng, Yee Ming Chew, and Nur Izzati Ahmad Lazim (2018). ‘‘Prediction of Consolidation Characteristics from Index Properties’’.E3S Web of Conferences 65, 06004(2018).

. Ntekim, G. F. and Ike, C. C.(2022). ‘‘Non-Linear Regression Modeling of the Compressibility Properties of Soil in Calabar Municipal, Cross River State’’. International Journal of Darshan Institute on Engineering Research and Emerging Technologies. 11(2), 45-53.

. Ukeje, E.C. and Ike, C. C. (2022). ‘‘Exponential Regression Modelling of the Compression Index of Awka Soil’’. International Journal of Darshan Institute on Engineering Research and Emerging Technologies. 11(2), 54-59.

. ASTM D 2435-90. “Test Method for One-dimensional Consolidation Properties of Soilsâ€, Annual Book of ASTM Standards, 1994, 04.08, 96-205.

. ASTM D 4318-94. “Standard Test Method for Liquid limit, Plastic limit and Plasticity index of Soilsâ€, Annual Book of ASTM Standards, 1994, 04.08, 69-76.

. ASTM D6913M -17 (2017).“Standard test Method for Particle-Size Distribution(Gradation) of Fine-Grained Soils Using Sieve Analysisâ€. ASTM International, West Conshohocken, PA (2017).

. ASTM D 854-92. “Standard Test Method for Specific Gravity of Soils†, Annual Book of ASTM Standards, 04.08, 1994, ASTM, Philadelphia, USA, PP. 80-83.

. Ukeje, E.C. (2022), “Nonlinear Regression Modelling of the compressibility properties of soil in Awka, Anambra stateâ€, Master’s thesis, Department of Civil Engineering, Enugu State University of Science and Technology, Agbani, Enugu State, 2022.


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