Acknowledgement
This study was supported by the National Science Foundation of China (51668036, 51868041), General Projects of Scientific Research of High Education in Gansu (2017A-111), the Changjiang Scholars program and Innovative Research Team in the University (IRT_15R29), and the Energy Geomechanics Laboratory at the University of North Dakota, U.S.A.
References
- AASHTO. (2010), AASHTO standard specifications for highway bridges, Washington, D.C., U.S.A.
- Arenaldi Perisic, G., Ovalle, C. and Barrios, A. (2019), "Compressibility and creep of a diatomaceous soil.", Eng. Geol., 258, 105145. https://doi.org/10.1016/j.enggeo.2019.105145.
- Atashgahi, S., Tabarsa, A., Shahryari, A. and Hosseini, S.S. (2020), "Effect of carbonate precipitating bacteria on strength and hydraulic characteristics of loess soil", B. Eng. Geol. Environ., 79, 4749-4763. https://doi.org/10.1007/s10064-020-01857-0.
- Bennett, R.M., Wood, S.M., Drumm, E.C. and Rainwater, N.R. (2005), "Vertical loads on concrete box culverts under high embankments.", J. Bridge Eng., 10(6), 643-649. http://doi.org/10.1061/(ASCE)1084-0702(2005)10:6(643).
- Binger, W.V. (1947), "Discussion to 'Underground conduits-An appraisal of modern research'", Proc. Am. Soc. Civ. Eng., 73, 1543-1545.
- Chen, B.G. and Sun, L. (2014), "Performance of a reinforced concrete box culvert installed in trapezoidal trenches", J. Bridge Eng., 19(1), 120-130. http://doi.org/10.1061/(ASCE)BE.1943-5592.0000494.
- Code for design of railway tunnel (2017), China Railway Eryuan Engineering Group CO., Ltd.; Beijing, China (in Chinese).
- Dasgupta, A. and Sengupta, B. (1991), "Large-scale model test on square box culvert backfilled with sand", J. Geotech. Eng., 117(1), 156-161. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:1(156).
- Ge, M.M., Li, N., Zheng J.G., Zhu, C.H. and Ma, X.D. (2015), "Numerical analysis of the post-construction settlement regularity of loess-high filled embankment based on creep test", J. Xi'an Univ. Technol., 31(3), 295-300+305 (in Chinese). https://doi.org/10.3969/j.issn.1006-4710.2015.03.008
- Guo, W.B., Hu, B., Cheng, J.L. and Wang, B.F. (2020), "Modeling time-dependent behavior of hard sandstone using the DEM method.", Geomech. Eng., 20(6), 517-525. https://doi.org/10.12989/gae.2020.20.6.517.
- Hu, C.M., Wang, X.Y., Mei, Y., Yuan, Y.L. and Zhang, S.S. (2018), "Compaction techniques and construction parameters of loess as filling material", Geomech. Eng., 15(6), 1143-1151. https://doi.org/10.12989/gae.2018.15.6.1143.
- Kim, K. and Yoo, C.H. (2005), "Design loading on deeply buried box culverts.", J. Geotech. Geoenviron. Eng., 131(1), 20-27. http://doi.org/10.1061/(ASCE)1090-0241(2005)131:1(20).
- Li, S., Han, G.Q., Ho, I.H., Ma, L., Wang, Q.C. and Yu, B.T. (2020), "Coupled effect of cross-sectional shape and load reduction on high-filled cut-and-cover tunnels considering soilstructure interaction", Int. J. Geomech., 20(7), 04020082. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001696.
- Li, S., Wang, Q.C., Ma, L., Li, J.X. and Li, W.L. (2014), "Model analysis of earth pressure load reduction and soil arch effect for high fill open cut tunnel in loess area", China Civ. Eng. J., 47(7), 118-125 (in Chinese). https://doi.org/10.15951/j.tmgcxb.2014.07.040.
- Marston, A. (1930), "The theory of external loads on closed conduits in the light of the latest experiments.", Bulletin No. 96; Iowa Engineering Experiment Station, Ames, Iowa, U.S.A.
- Marston, A. and Anderson, A.O. (1913), "The theory of loads on pipes in ditch and tests of cement and clay drain tile and sever pipe.", Bulletin No. 31; Iowa Engineering Experiment Station, Ames, Iowa, U.S.A.
- McAffee, R.P. and Valsangkar, A.J. (2008), "Field performance, centrifuge testing, and numerical modelling of an induced trench installation.", Can. Geotech. J., 45(1), 85-101. https://doi.org/10.1139/T07-086.
- McGuigan, B.L. and Valsangkar, A.J. (2010), "Centrifuge testing and numerical analysis of box culverts installed in induced trenches.", Can. Geotech. J., 47(2), 147-163. https://doi.org/10.1139/T09-085.
- Meguid, M.A., Hussein, M.G., Ahmed, M.R., Omeman, Z. and Whalen, J. (2017), "Investigation of soil-geosynthetic-structure interaction associated with induced trench installation", Geotext. Geomembranes, 45(4), 320-330. https://doi.org/10.1016/j.geotexmem.2017.04.004.
- Moghaddas Tafreshi, S.N., Joz Darabi, N. and Dawson, A.R. (2020), "Combining EPS geofoam with geocell to reduce buried pipe loads and trench surface rutting", Geotext. Geomembranes, 48(3), 400-418. https://doi.org/10.1016/j.geotexmem.2019.12.011.
- Penman, A.D.M., Charles, J.A., Nash, J.K.T.L. and Humphreys, J.D. (1975), "Performance of culvert under Winscar dam.", Geotechnique, 25(4), 713-730. https://doi.org/10.1680/geot.1975.25.4.713.
- Prommin, T. and Nuntasarn, R. (2020), "Ultimate bearing capacity of collapsing Khon Kaen loess", Int. J. GEOMATE, 17(63), 87-94. https://doi.org/10.21660/2019.63.14858.
- Santos, R.R.V., Kang, J. and Park, J.S. (2020), "Effects of embedded trench installations using expanded polystyrene geofoam applied to buried corrugated steel arch structures", Tunn. Undergr. Sp. Tech., 98, 103323. https://doi.org/10.1016/j.tust.2020.103323.
- Spangler, M.G. (1950), "A theory on loads on negative projecting conduits", Proceedings of the 30th Annual Meeting of the Highway Research Board, Washington, D.C., U.S.A., January.
- Spangler, M.G. (1973), "Long-time measurement of loads on three pipe culverts.", Proceedings of the 52nd Annual Meeting of the Highway Research Board, Washington, D.C., U.S.A., January.
- Sun, L., Hopkins, T. and Beckham, T. (2011), "Long-term monitoring of culvert load reduction using an imperfect ditch backfilled with geofoam", Transp. Res. Rec., 2212(1), 56-64. http://doi.org/10.3141/2212-06.
- Trollope, D.H., Speedie, M.G. and Lee, I.K. (1963), "Pressure measurements on Tullaroop dam culvert", Proceedings of the 4th Australia-New Zealand Conf. on Soil Mechanics and Foundation Engineering, Perth, Australia, January.
- Vaslestad, J., Johansen, T.H., Holm, W. (1993), "Load reduction on rigid culverts beneath high fills: Long-term behavior", Transportation Research Record 1415; Transportation Research Board, Washington, D.C., U.S.A.
- Wang, X., Wang, J., Zhan, H., Li, P., Qiu, H. and Hu, S. (2019). "Moisture content effect on the creep behavior of loess for the catastrophic Baqiao landslide.", CATENA, 187, 104371. https://doi.org/10.1016/j.catena.2019.104371.
- Xie, X., Qi, S., Zhao, F. and Wang, D. (2018), "Creep behavior and the microstructural evolution of loess-like soil from Xi'an area, China", Eng. Geol., 236, 43-59. https://doi.org/10.1016/j.enggeo.2017.11.003.
- Xue, Y., Zhang, X., Li, S.C., Qiu, D., Su, M., Xu, Z., Zhou, B. and Xia, T. (2019), "Sensitivity analysis of loess stability to physical and mechanical properties: Assessment model", Int. J. Geomech., 19(7), 06019012. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001400.
- Yang, M.Z. (2000), "Evaluation of factors affecting earth pressures on buried box culverts.", Ph.D. Dissertation, University of Tennessee, Knoxville, Tennessee, U.S.A.
- Zhu, C. and Li, N. (2020), "Ranking of influence factors and control technologies for the post-construction settlement of loess high-filling embankments", Comput. Geotech., 118, 103320. https://doi.org/10.1016/j.compgeo.2019.103320.