Investigation of the settlement prediction in soft soil by Richards Model: based on a linear least squares-iteration method

• Autorzy: Nadeem Muhammad , Akbar Muhammad , Huali Pan , Xiaoqing Li , Guoqiang Ou , Amin Azka

Identyfikatory

DOI

10.24425/ace.2021.137181

• Języki publikacji: EN

Abstrakty

EN

Prediction of soft soil sub-grades settlement has been a big challenge for geotechnical engineers that are responsible for the design of roadbed embankment. The characteristics of low strength, poor permeability, high water contents, and high compressibility are dominant in soft soils, which result in a huge settlement in the case of long-term loading. The settlement prediction in soft soil subgrades of Jiehui Expressway A1, Guangdong, China, is the focus of this study. For this purpose, the necessary data of settlement is collected throughout the project execution. The numerical analysis is conducted by using the Richards model based on Linear Least Squares Iteration (LLS-I) method to calculate and predict the expected settlement. The traditional settlement prediction methods, including the hyperbolic method, exponential curve method, and pearl curve method, are applied on field settlement data of soft soil subgrades of Jiehui Expressway A1. The results show that the Richards model based on Linear Least Squares Iteration (LLS-I) method has high precision, and it has proven to be a better option for settlement prediction of soft soil sub-grades. The model analysis indicates that the mean absolute percentage error (MAPE) can be minimized as compared to other soft soil sub-grades settlement prediction methods. Hence, Richards's model-based LLS-I method has a capability for simulation and settlement prediction of soft soil subgrades.

Słowa kluczowe

EN

linear iterative method; least square method; prediction; soft soil; comparative error; settlement; calculation model

PL

metoda iteracji liniowej; metoda najmniejszych kwadratów; prognoza; grunt słaby; podłoże gruntowe; błąd porównawczy; osiadanie gruntu; model obliczeniowy

• Wydawca: Komitet Inżynierii Lądowej i Wodnej PAN ; Politechnika Warszawska, Wydział Inżynierii Lądowej
• Czasopismo: Archives of Civil Engineering
• Rocznik: 2021
• Tom: Vol. 67, nr 2
• Strony: 491--506
• Opis fizyczny: Bibliogr. 19 poz., il., tab.

Twórcy

autor

Nadeem Muhammad

• Graduate Student School of Civil Engineering and Mechanics, HUST, Wuhan, China

autor

Akbar Muhammad

• Department of Geotechnical Engineering Institute of Mountain Hazards and Environment, Chinese Academy of Science, Chengdu, China

autor

Huali Pan

• Department of Geotechnical Engineering Institute of Mountain Hazards and Environment, Chinese Academy of Science, Chengdu, China

autor

Xiaoqing Li

• Graduate Student School of Civil Engineering and Mechanics, HUST, Wuhan, China

autor

Guoqiang Ou

• Department of Geotechnical Engineering Institute of Mountain Hazards and Environment, Chinese Academy of Science, Chengdu, China

autor

Amin Azka

• Department of Business Administration Iqra University, Main Campus, Karachi, Pakistan

Bibliografia

• [1] Terzaghi, K., “Principles of soil mechanics: I - Phenomena of cohesion of clays”, Engineering News-Record 95(19), 742-746, 1925.
• [2] Terzaghi, K., “The shear resistance of saturated soils.” Proc. 1st Inter. Conf. on Soil Mechanics and Foundation Engineering”, Cambridge, MA, 1, 54-56, 1936.
• [3] Ming-Hua, Z., Yu, L., Wen-Gui, C., “The developing regularity and forecasting of settlement in soft clay roadbed”, Journal of Central South University of Technology (Natural Science), 1(35): 157-161, 2004.
• [4] Chen, S., Wang, X.Y., Xu, X.C., Yu, F., Qin, S.L., “Three-point modified exponential curve method for predicting subgrade settlements”, Rock and Soil Mechanics 11(32): 3355-3360, 2011.
• [5] Zai, J., Mei, G., “Forecast method of settlement during the complete process of construction and operation”, Rock and Soil Mechanics 4(21): 322-325, 2000.
• [6] Wissa, A. E., “Consolidation at constant rate of strain”, Journal of Soil Mechanics & Foundations Div 97(SM10), 1393-1413, 1971.
• [7] Huang, C., Li, Q., Wu, S., Li, J., Xu, X., “Application of the Richards Model for Settlement Prediction Based on a Bidirectional Difference-Weighted Least-Squares Method”, Arabian Journal for Science and Engineering 43: 5057-5065, 2018. https://doi.org/10.1007/s13369-017-2909-0
• [8] Jiang, J., Chen, Q., Nimbalkar, S.S., “Field Data Based Method for Predicting Long-Term Settlements”, American Journal of Engineering and Applied Sciences 3(9): 466-476, 2016. https://doi.org/10.3844/ajeassp.2016.466.476
• [9] Huang, X., Wei, R.M., Yuan, L., Li, X.Q., “Research on the prediction of high embankment settlement based on the real-time monitoring on-site”, Applied Mechanics and Materials 256-259, 2012. https://doi.org/10.4028/www.scientific.net/AMM.256-259.1754
• [10] Al-Shamrani, M., “Applying the hyperbolic method and Cα/Cc concept for settlement prediction of complex organicrich soil formations”, Engineering Geology 77(1-2): 17-34, 2005. https://doi.org/10.1016/j.enggeo.2004.07.004
• [11] Richards, F.J., “A Flexible Growth Function for Empirical Use”, Journal of Experimental Botany 10(2): 290-301, 1959.
• [12] Tsoularis, A., Wallaceb, J., “Analysis of logistic growth models”, Mathematical Biosciences 179(1): 21-55, 2002. https://doi.org/10.1016/S0025-5564(02)00096-2
• [13] Tjørve, E., Tjørve, K.M.C., “A unified approach to the Richards-model family for use in growth analyses: Why we need only two model forms”, Journal of Theoretical Biology 267(3): 417-425, 2010. https://doi.org/10.1016/j.jtbi.2010.09.008
• [14] Karkach, A., “Trajectories and models of individual growth”, Demographic Research 15: 347-400, 2006. https://doi.org/ 10.4054/DemRes.2006.15.12
• [15] Mitew-Czajewska, M., “Parametric study of deep excavation in clays”, Bulletin of the polish academy of sciences technical sciences 66 (5): 747-754, 2018. DOI 10.24425/bpas.2018.125342
• [16] Zhenzhong, W., Kunghsun, L., “Two-paired points method for estimating K value of logistic equation”, Acta Ecologica Sinica 7(3): 3-8, 1987.
• [17] Pearl. R., Reed, L., “On the rate of growth of the population of the united states since 1790 and its mathematical representation”, Proc. Natl. Acad. Sci U. S. A, 1920. https://doi.org/10.1073/pnas.6.6.275
• [18] Lei, G., Qiu-yue, Z., Xiang-juan, Y., Zhi-hui, C., “Analysis and model prediction of subgrade settlement for Linhai highway in China”, EJGE 19: 11-21, 2014.
• [19] Żabicki, P., Gardziejczyk, W., “Multicriteria analysis in planning roads - Part 1. Criteria in determining the alignment of regional roads”, Bulletin of the polish academy of sciences technical sciences 68(2): 2020. DOI: 10.24425/bpasts.2020.133119