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Digitizing and modeling of structural planes in fractured rock mass tunnel based on SfM

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Abstract

SfM method has been deployed to investigate structural planes of rock mass in tunnel to meet the need of rapid and digital construction. 3D surface model of tunnel rock mass has been reconstructed rapidly, effectively, and accurately. And then the characteristic parameters of structural planes are obtained. Based on this method, probabilistic model of the dip, dip angle, trace length, and spacing of structural planes has been determined and significance test of F value is carried out. A 3D stochastic network model of structural plane with Baecher disk model is established based on Monte Carlo method. Through sectioning of the structural plane network model, the two-dimensional profile of trace distribution has been generated and compared with that of actual excavated structural plane. The maximum difference ratio is 19.1%, which shows that this method can identify the structural plane and obtain the characteristic parameter accurately and rapidly. The results show that the stochastic network model of structural planes generated is highly reliable.

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References

  • Ahn SH, Lee CI (2004) Removability analysis of rock blocks by block theory and a probabilistic approach. Int J Rock Mech Min Sci 41(3):1–6

    Article  Google Scholar 

  • Baecher GB, Lanneyn A, Einstein H H (1977) Statistical description of rock properties and sampling. In The 18th US symposium on rock mechanics (USRMS). American Rock Mechanics Association

    Google Scholar 

  • Barton N (1978) Suggested methods for the quantitative description of discontinuities in rock masses. Int J Rock Mech Min Sci Geomech Abstr 15(6):319–368

    Article  Google Scholar 

  • Dershowitz WS, Einstein HH (1988) Characterizing rock joint geometry with joint system models. Rock Mech Rock Eng 21(1):21–51

    Article  Google Scholar 

  • Einstein HH (1979) Risk analysis for rock slopes in open pit mines: appendix UM, user’s manuals for computer programs. In: Massachusetts institute of technology

    Google Scholar 

  • Goodman RE (1989) Introduction to rock mechanics. John Wiley & Sons, New York

    Google Scholar 

  • Guo L, Li XZ, Zhou YY, Zhang YS (2015) Generation and verification of three-dimensional network of fractured rock masses stochastic discontinuities based on digitalization. Environ Earth Sci 73(11):7075–7088

    Article  Google Scholar 

  • Hammersley JM, Handscomb DC (1964) Monte Carlo methods. John Wiley & Sons, New York

    Book  Google Scholar 

  • Hartley R, Zisserman A (2003) Multiple view geometry in computer vision. Cambridge university press, Cambridge

    Google Scholar 

  • Hu J, Li SC, Li LP, Shi SS, Zhou ZQ, Liu HL, He P (2018) Field, experimental, and numerical investigation of a rockfall above a tunnel portal in southwestern China. Bull Eng Geol Environ 77(4):1365–1382

    Article  Google Scholar 

  • Huang RQ, Chen JP, Hu XW (2004) Accurate descript of complex rock mass structure and engineering applications. Science Press, Bejing

    Google Scholar 

  • Kulatilake PHSW, Um JG, Wang MY (2003) Stochastic fracture geometry modeling in 3-D including validations for a part of Arrowhead East Tunnel, California, USA. Eng Geol 70(1):131–155

    Article  Google Scholar 

  • Kulatilake PHSW, Wu TH (1984a) The density of discontinuity traces in sampling windows. Int J Rock Mech Min Sci Geomech Abstr 21(6):345–347

    Article  Google Scholar 

  • Kulatilake PHSW, Wu TH (1984b) Estimation of mean trace length of discontinuities. Rock Mech Rock Eng 17(4):215–232

    Article  Google Scholar 

  • Li SC, Liu HL, Li LP (2017) A quantitative method for rock structure at working faces of tunnels based on digital images and its application. Chin J Rock Mech Eng 36(1):1–12

    Google Scholar 

  • Lindeberg T (1994) Scale-space theory: a basic tool for analyzing structures at different scales. J Appl Stat 21(1–2):225–270

    Article  Google Scholar 

  • Lindeberg T, ter Haar Romeny BM (1994) Linear scale-space: I. Basic theory, II. Early visual operations. Kluwer Academic Publishers, Dordrecht, The Netherlands, pp 1–77

    Google Scholar 

  • Lourakis MI, Argyros AA (2009) SBA: a software package for generic sparse bundle adjustment. Acm T Math Software 36(1):2

    Article  Google Scholar 

  • Lowe DG (1999) Object recognition from local scale-invariant features. In Proceedings of the 7th International Conference on Computer Vision, Kerkyra, Greece, 1150–1157

  • Lowe DG (2004) Distinctive image features from scale-invariant key points. Int J Comput Vis 60(2):91–110

    Article  Google Scholar 

  • Metropolis N, Ulam S (1949) The Monte Carlo method. J Am Stat Assoc 44(247):335–341

    Article  Google Scholar 

  • Niethammer U, James MR, Rothmund S, Travelletti J, Joswig M (2012) UAV-based remote sensing of the Super Sauze landslide: evaluation and results. Eng Geol 128:2–11

    Article  Google Scholar 

  • Ni PP, Wang SH, Wang CG, Zhang SM (2017) Estimation of REV size for fractured rock mass based on damage coefficient. Rock Mech Rock Eng 50(3):555–570

    Article  Google Scholar 

  • Priest SD, Hudson JA (1976) Discontinuity spacings in rock. Int J Rock Mech Min Sci Geomech Abstr 13(5):135–148

    Article  Google Scholar 

  • Shapiro A, Delport JL (1991) Statistical analysis of jointed rock data. Int J Rock Mech Min Sci Geomech Abstr 28(5):375–382

    Article  Google Scholar 

  • Snavely KN (2008) Scene reconstruction and visualization from internet photo collections. University of Washington, USA, Seattle

    Google Scholar 

  • Sun SQ, Li SC, Li LP, Shi SS, Liu HL, Hu J, Zhou S (2018) Structural planes surveying and fractal dimension characteristics of tunnel face based on digital photogrammetry. Arab J Geosci 11(20):622–635

    Article  Google Scholar 

  • Villaescusa E (1993) Statistical modelling of rock jointing. Probabilistic methods in geotechnical engineering. Balkema, Rotterdam, pp 221–231

    Google Scholar 

  • Wang SH, Ni PP (2014) Application of block theory modeling on spatial block topological identification to rock slope stability analysis. Int J Comp Methods 11(01):1350044

    Article  Google Scholar 

  • Wang SH, Ni PP, Guo MD (2013) Spatial characterization of joint planes and stability analysis of tunnel blocks. Tunn Undergr Space Technol 38:357–367

    Article  Google Scholar 

  • Wang XG, Jia ZX, Chen ZY, Xu Y (2016) Determination of discontinuity persistent ratio by Monte-Carlo simulation and dynamic programming. Eng Geol 203:83–98

    Article  Google Scholar 

  • Warburton PM (1980) Stereological interpretation of joint trace data: influence of joint shape and implications for geological surveys. Int J Rock Mech Min Sci Geomech Abstr 17(6):305–316

    Article  Google Scholar 

  • Westoby MJ, Brasington J, Glasser NF, Hambrey MJ, Reynolds JM (2012) ‘Structure-from-motion’ photogrammetry: a low-cost, effective tool for geoscience applications. Geomorphology 179:300–314

    Article  Google Scholar 

  • Zhang FM (2007) Multi scale three dimensional geological structure simulation and its application. Science Press, Beijing

    Google Scholar 

  • Zhang ZY, Wang ST, Wang LS (2009) Principles of engineering geology. Geological Publishing House, Beijing

    Google Scholar 

  • Zheng J, Deng JH, Zhang GQ, Yang XJ (2015) Validation of Monte Carlo simulation for discontinuity locations in space. Comput Geotech 67:103–109

    Article  Google Scholar 

Download references

Acknowledgments

Great appreciation goes to the editorial board and the reviewers of this paper.

Funding

The research described in this paper was financially supported by the National Science Fund for Excellent Young Scholars (No. 51722904), the National Natural Science Foundation of China (No. 51679131), the National Natural Science Foundation of China (No. 51609129), the Shandong Province Science Foundation for Distinguished Young Scholars (No. JQ201611), and the Shandong province Key Research Project Foundation (2017GSF220014).

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Authors and Affiliations

  1. Research Center of Geotechnical and Structural Engineering, Shandong University, Jinan, China

    Shang-qu Sun, Li-ping Li, Cheng-shuai Qin, Hong-liang Liu & Xing-zhi Ba

  2. Shandong University Scientific Journal Press, Jinan, China

    Yan-huan Zhang

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  1. Shang-qu Sun
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  2. Li-ping Li
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  3. Cheng-shuai Qin
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  4. Hong-liang Liu
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  5. Yan-huan Zhang
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  6. Xing-zhi Ba
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Corresponding author

Correspondence to Li-ping Li.

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Editorial handling: Ali Karrech

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Sun, Sq., Li, Lp., Qin, Cs. et al. Digitizing and modeling of structural planes in fractured rock mass tunnel based on SfM. Arab J Geosci 12, 338 (2019). https://doi.org/10.1007/s12517-019-4509-7

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  • DOI: https://doi.org/10.1007/s12517-019-4509-7

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