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A semi-analytical framework for one-dimensional collapse analysis of partly saturated soils

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Abstract

Despite the increasing interest to understand the behavior of collapsible soils, a very limited number of procedures have been proposed to perform analyses in order to predict collapse settlements. Hence, simple models that would enable engineers to undertake analyses within the one-dimensional and two-dimensional frames are still desirable. The present paper proposes an efficient semi-analytical framework where it is shown that collapse settlements can be estimated with a very reasonable computational effort. A semi-analytical procedure is developed within a one-dimensional framework and can be extended to two-dimensional and three-dimensional problems. In this procedure, the analytical solution of the infiltration problem is combined to a collapse model in a semi-analytical process where the soil layer and time period are divided into regular increments. Each increment over the soil layer depth is considered as a small soil element for which parameters such as moisture content and pressure head are estimated as functions of time. Local volumetric strain caused by soil collapse is estimated using a collapse model and integrated numerically to find the total settlement. The soil collapse settlement can be analyzed in conjunction with volumetric moisture content. Effects of parameters such as permeability and collapse modulus can be analyzed as will be shown.

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References

  1. Barden L, McGown A, Collins K (1973) The collapse mechanism in partly saturated soil. Eng Geol 7(1):49–60

    Article  Google Scholar 

  2. Buckingham E (1907) Studies on the movement of soil moisture, vol 38. USDA Govt. Print. Off., Washington

    Google Scholar 

  3. Childs EC, Collis-George N (1950) The permeability of porous materials. Proc R Soc Lond 201(1066):392–405

    Google Scholar 

  4. Clayton CRI (1980) The collapse of a compacted chalk fill. In: Proceedings of the international conference on compaction. Paris, Section 2

  5. El Korchi FZ, Jamin F, El Omari M, El Youssoufi MS (2016) Collapse phenomena during wetting in granular media. Eur J Env Civ Eng 20(10):1262–1276. https://doi.org/10.1080/19648189.2016.1177602

    Article  Google Scholar 

  6. Farooq QU, Uchimura T (2012) A qualitative approach for the performance evaluation of artificially prepared water resistant fine soil. Appl Mech Mater 170–173:1025–1028. https://doi.org/10.4028/www.scientific.net/AMM.170-173.1025

    Article  Google Scholar 

  7. Fredlund DG, Morgenstern NR (1976) Constitutive relations for volume change in unsaturated soils. Can Geotech J 13(3):261–276

    Article  Google Scholar 

  8. Gardner WR (1958) Some steady-state solutions of the unsaturated moisture flow equation with application to evaporation from a water table. Soil Sci 85(4):228–232

    Article  Google Scholar 

  9. Green WH, Ampt GA (1911) Studies on soil physics. J Agric Sci 4(1):1–24

    Article  Google Scholar 

  10. Houston SL, Houston WN, Spadola DJ (1988) Prediction of field collapse of soils due to wetting. American Society of Civil Engineers (ASCE). J Geotech Eng 114(1):40–58

    Article  Google Scholar 

  11. Jaroslav F (1988) Collapse of loess upon wetting. Eng Geol 25(2-4):263–269. https://doi.org/10.1016/0013-7952(88)90031-2

    Article  Google Scholar 

  12. Kosugi K (1996) Lognormal distribution model for unsaturated soil hydraulic properties. Water Resour Res 32(9):2697–2703. https://doi.org/10.1029/96wr01776

    Article  Google Scholar 

  13. Lommler JC, Bandini P (2015) Characterization of collapsible soils. In: Proceedings of the international foundations congress and equipment expo IFCEE, San Antonio, pp 1834–1841. https://doi.org/10.1061/9780784479087

  14. Nouaouria MS, Guenfoud M, Lafifi B (2008) Engineering properties of loess in Algeria. Eng Geol 99(1-2):85–90. https://doi.org/10.1016/j.enggeo.2008.01.013

    Article  Google Scholar 

  15. Ping Li, Vanapalli S, Tonglu Li (2016) Review of collapse triggering mechanism of collapsible soils due to wetting. J Rock Mech Geotech Eng 8(2):256–274. https://doi.org/10.1016/j.jrmge.2015.12.002

    Article  Google Scholar 

  16. Qian HJ, Lin ZG (1988) Loess and its engineering problems in China. In: Proceedings of the international conference on engineering problems of regional soils, Beijing

  17. Qiu J, Xie Y, Fan H, Wang Z, Zhang Y (2017) Centrifuge modelling of twin-tunneling induced ground movements in loess strata. Arab J Geosci 10:493. https://doi.org/10.1007/s12517-017-3297-1

    Article  Google Scholar 

  18. Rahardjo H (1990) The study of undrained and drained behavior of unsaturated soils. Ph.D. thesis, University of Saskatchewan

  19. Richards LA (1931) Capillary conduction of liquids through porous mediums. Physics 1(5):318–333

    Article  Google Scholar 

  20. Rocscience Inc. RS3 Software Manual, https://www.rocscience.com/help/rs3/pdf_files/verification/Verification_016_(Transient_Groundwater_Flow).pdf

  21. Rogers CDF (1995) Types and distribution of collapsible soils. In: Derbyshire E, Dijkstra T, Smalley IJ (eds) Genesis and properties of collapsible soils, vol 468. Springer, Dordrecht, pp 1–17. https://doi.org/10.1007/978-94-011-0097-7_1

    Chapter  Google Scholar 

  22. Santrač P, Bajić Ž, Grković S, Kukaras D, Hegediš I (2015) Analysis of calculated and observed settlements of the silo on loess. Tehnicki vjesnik/Technical Gazette. https://doi.org/10.17559/tv-20140615132437

    Article  Google Scholar 

  23. Tadepalli R, Fredlund DG (1991) The collapse behavior of a compacted soil during inundation. Can Geotech J 28(4):477–488

    Article  Google Scholar 

  24. Tracy FT (1995) 1-D, 2-D, and 3-D analytical solutions of unsaturated flow in groundwater. J Hydrol 170(1-4):199–214

    Article  Google Scholar 

  25. Van Genuchten MTh (1980) A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 44(5):892–898

    Article  Google Scholar 

  26. Xu Y, Leung CF, Yu J, Chen W (2018) Numerical modelling of hydro-mechanical behavior of ground settlement due to rising water table in loess. Nat Hazards 94(1):241–260. https://doi.org/10.1007/s11069-018-3385-x

    Article  Google Scholar 

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Correspondence to Qazi Umar Farooq.

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Alluqmani, A.E., Farooq, Q.U. & Harireche, O. A semi-analytical framework for one-dimensional collapse analysis of partly saturated soils. Innov. Infrastruct. Solut. 5, 5 (2020). https://doi.org/10.1007/s41062-019-0255-7

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