Coupling analysis method of grouting construction with deformation response of adjacent existing tunnel

Abstract

In the new tunnel under close distance through the existing tunnel risk source, the grouting scheme developed to compensate for stratum losses is still based on empirical methods, relying on the overburden thickness of existing tunnels. This can potentially lead to an excessively high or low probability of uplift of existing tunnels. Proposing a coupled deformation analysis method between the grouting construction and adjacent existing tunnels is of great theoretical significance for developing grouting schemes. In order to reasonably limit the design parameters of grouting construction, based on the theory of fluid-solid coupling elastic pore-column expansion and the theory of random media, the calculation method of stratum displacement which simultaneously considers the coexistence of grout compaction expansion and permeability diffusion mode is derived, and the accuracy of the calculation method is verified by engineering examples. The accuracy of this calculation method was verified through engineering examples. Combined with the deformation coordination condition, the existing tunnel is regarded as an elastic Euler-Bernoulli continuous beam, and the finite element coupling balance equation of the interaction between the existing tunnel and the surrounding soil is obtained. Based on this, a coupling calculation model of the grouting construction and the deformation response of the adjacent existing tunnel is established. Combined with three times of grouting construction examples in the shield tunneling project of Beijing Metro Line 12 under the existing airport line, the reliability of the coupling calculation model to determine the grouting construction parameters is verified. The calculation parameters in the coupling calculation model have clear physical meanings, which can provide a theoretical basis for the grouting design of similar risk source projects.

Keywords

Grouting / Close-range underpass / Tunnel / Random medium theory / Euler-Bernoulli continuous beam

Prospects

The deformation of the existing tunnel due to grouting is calculated based on the Euler-Bernoulli beam theory. This calculation model works well for continuous tunnels (non-segmented tube types). For discontinuous tunnels (segmented tube types), the model cannot consider the shear effect between segments tube. The shear effect should be considered to make the calculation results more realistic.

Declaration of Competing Interest

The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Acknowledgment

The authors gratefully acknowledge the financial support from the Key Program of National Natural Science Foundation of China (Grant No. 52130905).

References

[1] Agaiby, S., & Grasso, P. (2017). Lining induced stresses for mechanized tunneling along curved alignment. In S. Agaiby, & P. Grasso (Eds.), Engineering challenges for sustainable underground use (pp.36-52). Switzerland: Springer International Publishing AG.

[2] Axelrad, D. R. (1990). Stochastic transport-theory for porous-media. Zeitschrift Fur Angewandte Mathematik Und Physik, 41(2), 157-173.

[3] Bouchelaghem, F., & Almosni, A. (2003). Experimental determination of the longitudinal dispersivity during the injection of a micro-cement grout in a one-dimensional soil column. Transport in Porous Media, 52 (1), 67-94.

[4] Cai, H. B., Hong, R. B., Xu, L. X., Wang, C. B., & Rong, C. X. (2022). Frost heave and thawing settlement of the ground after using a freezesealing pipe-roof method in the construction of the gongbei tunnel. Tunnelling and Underground Space Technology, 125, 104503.

[5] Cai, H. B., Liu, Z., Li, S., & Zheng, T. L. (2019). Improved analytical prediction of ground frost heave during tunnel construction using artificial ground freezing technique. Tunnelling and Underground Space Technology, 92, 103050.

[6] Cao, L. Q., Zhang, D. L., Fang, Q., & Yu, L. (2020). Movements of ground and existing structures induced by slurry pressure-balance tunnel boring machine (spb tbm) tunnelling in clay. Tunnelling and Underground Space Technology, 97, 103278.

[7] Cheong, M. T., & Soga, K. (2005). Influence of underground excavation on compensation grouting in clays; Small-scale laboratory experiments. In Geotechnical Aspects of Underground Construction in Soft Ground:Proceedings of the 5th International Symposium TC28. Amsterdam, the Netherlands, 15-17 June 2005 (pp. 369). CRC Press.

[8] El-Kelesh, A. M., Mossaad, M. E., & Basha, I. M. (2001). Model of compaction grouting. Journal of Geotechnical and Geoenvironmental Engineering, 127(11), 955-964.

[9] Foyo, A., Sanchez, M. A., & Tomillo, C. (2005). A proposal for a secondary permeability index obtained from water pressure tests in dam foundations. Engineering Geology, 77(1-2), 69-82.

[10] Gan, X. L., Yu, J. L., Gong, X. N., Hou, Y. M., Liu, N. W., & Zhu, M. (2022). Response of operating metro tunnels to compensation grouting of an underlying large-diameter shield tunnel: A case study in hangzhou. Underground Space, 7(2), 219-232.

[11] Guo, F. Q., Liu, X. T., Tong, W. Q., & Shan, Z. (2015). Prediction of ground surface displacement caused by grouting. Journal of Central South University, 22(9), 3564-3570.

[12] Hoek, E. (2001). Big tunnels in bad rock. Journal of Geotechnical and Geoenvironmental Engineering, 127(9), 726-740.

[13] Ieronymaki, E. S., Whittle, A. J., & Sureda, D. S. (2016). Interpretation of free-field ground movements caused by mechanized tunnel construction. Journal of Geotechnical and Geoenvironmental Engineering, 143(4), 04016114.

[14] Kizilbash, M. H., Dickson, P. A., & Jaffery, N. A. (2017). Neelum jhelum hydroelectric project: pre-excavation grouting in twin headrace tunnels. In Grouting 2017: CASE HISTORIES (pp. 238-248).

[15] Klar, A., Vorster, T., Soga, K., & Mair, R. J. (2005). Soil-pipe interaction due to tunnelling: Comparison between winkler and elastic continuum solutions. Géotechnique, 55(6), 461-466.

[16] Li, W. X., Li, J. F., Wang, Q., Xia, Y., & Ji, Z. H. (2012). Smt-gp method of prediction for ground subsidence due to tunneling. Tunnelling and Underground Space Technology, 32(12), 198-211.

[17] Lin, X. T., Chen, R. P., Wu, H. N., & Cheng, H. Z. (2019). Deformation behaviors of existing tunnels caused by shield tunneling undercrossing with oblique angle. Tunnelling and Underground Space Technology, 89, 78-90.

[18] Liu, B. C. (1993). Ground surface movements due to underground excavation in the pr china. In Comprehensive Rock Engineering (pp. 781-817). New York: Pergaman Press.

[19] Mair, R.J. and Hight, D.W. (1994), Compensation Grouting, World Tunnelling, November, (pp.361-367).

[20] Mooney, M. A., Grasmick, J., Kenneally, B., & Fang, Y. (2016). The role of slurry tbm parameters on ground deformation: Field results and computational modelling. Tunnelling and Underground Space Technology, 57, 257-264.

[21] Nagel, F., & Meschke, G. (2011). Grout and bentonite flow around a tbm: Computational modeling and simulation-based assessment of influence on surface settlements. Tunnelling and Underground Space Technology, 26(3), 445-452.

[22] Ng, C., Wang, R., & Boonyarak, T. (2016). A comparative study of the different responses of circular and horseshoe-shaped tunnels to an advancing tunnel underneath. Géotechnique Letters, 6(2), 168-175.

[23] Rahman, M., Hakansson, U., & Wiklund, J. (2015). In-line rheological measurements of cement grouts: Effects of water/cement ratio and hydration. Tunnelling and Underground Space Technology, 45, 34-42.

[24] Schweiger, H. F., Kummerer, C., Otterbein, R., & Falk, E. (2004). Numerical modelling of settlement compensation by means of fracture grouting. Soils and Foundations, 44(1), 71-86.

[25] Shi, C. H., Cao, C. Y., & Lei, M. F. (2017). An analysis of the ground deformation caused by shield tunnel construction combining an elastic half-space model and stochastic medium theory. Ksce Journal of Civil Engineering, 21(5), 1933-1944.

[26] Song, Y. J., Hu, H. S., & Han, B. (2020). Effective properties of a porous medium with aligned cracks containing compressible fluid. Geophysical Journal International, 221(1), 60-76.

[27] Yang, X. L., & Wang, J. M. (2011). Ground movement prediction for tunnels using simplified procedure. Tunnelling and Underground Space Technology, 26(3), 462-471.

[28] Ye, G. L., Hashimoto, T., Shen, S. L., Zhu, H. H., & Bai, T. H. (2015). Lessons learnt from unusual ground settlement during double-o-tube tunnelling in soft ground. Tunnelling and Underground Space Technology incorporating Trenchless Technology Research, 49, 79-91.

[29] Zhang, Q. S., Zhang, L. Z., Liu, R. T., Li, S. C., & Zhang, Q. Q. (2017). Grouting mechanism of quick setting slurry in rock fissure with consideration of viscosity variation with space. Tunnelling and Underground Space Technology, 70, 262-273.

[30] Zhou, Z. L., Chen, S. G., Tu, P., & Zhang, H. S. (2018). Coupling method for analyzing the influence on existing tunnel due to adjacent foundations pit excavation. Rock and Soil Mechanics, 39(4), 1440-1449 (in Chinese).