Advertisement

Optimized back analysis method for stress determination based on identification of local stress measurements and its application

  • Qitao PeiEmail author
  • Xiuli Ding
  • Yuankun Liu
  • Bo Lu
  • Shuling Huang
  • Jing Fu
Original Article
  • 86 Downloads

Abstract

This paper presents an optimization method, including the identification of local stress measurements and a two-stage back analysis, to determine in situ stress under complex conditions. Firstly, the macro-regional distribution characteristics of in situ stress can be interpreted by analyzing regional geological conditions, topography, as well as rock mass failure phenomena. Then, a stereographic projection method (SPM) is used to determine the distribution features of stress tensor on an arbitrary plane. On this basis, some representative measured data, which can reflect the distribution characteristics of in situ stress in the study area can be identified. After that, a first-stage back analysis by finite difference method (FDM) is used to calculate the field stresses from the selected in situ measured data. The obtained boundary stresses are taken to consist of a constant term, a term that varies linearly with depth, and a hyperbolic term. Further, a second-stage back analysis by discrete element method (DEM) is carried out to determine the local field stresses which are significantly affected by discontinuities and excavations. The FDM back analysis results can serve as the initial input stress conditions for DEM analysis, and the optimum stress conditions for DEM analysis will be reasonably obtained by using the uniform design method through the second-stage back analysis. To show the feasibility of the optimized method, it is applied to the Wudongde Hydropower Station to determine in situ stress. Based on local stress measurements by borehole stress relief method using hollow inclusion strain gauges, some representative measured data are selected by SPM. The unknown state of stress in the station is estimated through the first-stage back analysis by FDM. For some local key areas, encountered discontinuities or excavations in the vicinity, the local field stresses are calculated through the second-stage back analysis by DEM. Finally, the results are compared with those elicited from the borehole stress relief method. It is shown that the calculated results by the first-stage back analysis agree well with the measured ones on the whole, but the discrepancy is large in the vicinity of discontinuities as well as excavation disturbance. However, the calculated results by the second-stage back analysis roughly coincide with the measured data with lower allowable error.

Keywords

In situ stress Stress measurement Stereographic projection Back analysis Numerical modeling 

Notes

Acknowledgements

The authors gratefully acknowledge the financial support of the National Science Foundation of China (Nos. 51539002, 51609018, 51379022) and the National key research and development project of China (Nos. 2016YFC0401802, 2016YFC0401804). The work in this paper was also supported by funding from the Basic Research Fund for Central Research Institutes of Public Causes (No. CKSF2017030/YT, CKSF2017054/YT).

References

  1. Amadei B, Stephenson O (1993) Rock mechanics for underground mining. Chapman & Hall, LondonGoogle Scholar
  2. Brown ET, Hoek E (1978) Trends in relationships between measured in situ stresses and depth. Int J Rock Mech Min Sci 15:211–215CrossRefGoogle Scholar
  3. Cai MF (2000) Principle and techniques of in situ stress measurement. Science Press, Beijing (in Chinese) Google Scholar
  4. Christiansson R, Hudson JA (2003) ISRM suggested methods for rock stress estimation—part 4: quality control of rock stress estimation. Int J Rock Mech Min Sci 40(7):1021–1025CrossRefGoogle Scholar
  5. Cornet FH, Valette B (1984) In situ stress determination from Hydraulic Injection test data. J Geophys Res 89:527–537CrossRefGoogle Scholar
  6. Cui XF, Xie FR (1999) Preliminary research to determine stress districts from focal mechanism solutions in Southwest China and its adjacent area. Acta Seismol Sin 31(5):513–522 (in Chinese) Google Scholar
  7. Fang KT, Ma CX (2001) Orthogonal and uniform experimental design. Science Press, Beijing (in Chinese) Google Scholar
  8. Feng XT, Katsuyama K, Wang YJ, Lin YM (1997) A new direction-Intelligent rock mechanics and rock engineering. Int J Rock Mech Min Sci 34(01):135–141CrossRefGoogle Scholar
  9. Figueiredo B, Cornet FH, Lamas L, Muralha J (2014) Determination of the stress field in a mountainous granite rock mass. Int J Rock Mech Min Sci 72:37–48CrossRefGoogle Scholar
  10. Figueiredo B, Cornet FH, Lamas L, Muralha J (2016) Stress field assessment for determining the long-term rheology of a granite rock mass. In: 7th International Symposium on In-Situ Rock Stress, Tampere, FinlandGoogle Scholar
  11. Haimson BC, Cornet FH (2003) ISRM suggested methods for rock stress estimation—part 3: hydraulic fracturing (HF) and/or hydraulic testing of pre-existing fractures (HTPF). Int J Rock Mech Min Sci 40(7):1011–1020CrossRefGoogle Scholar
  12. Han XY, Ai K, Zhou CH (2012) Geostress regression analysis on Wudongde hydropower station in Jinsha River [R]. Yangtze River Scientific Research Institute, Wuhan (in Chinese) Google Scholar
  13. Hudson JA, Cornet FH, Christiansson R (2003) ISRM Suggested Methods for rock stress estimation-Part 1: strategy for rock stress estimation. Int J Rock Mech Min Sci 40(7):991–998CrossRefGoogle Scholar
  14. Kan RJ, Zhang SC, Yan FT, Yu LS (1977) Present tectonic stress field and its relation to the characteristics of recent tectonic activity in southwestern China. Chin J Sin 20:96–109 (in Chinese) Google Scholar
  15. Kang RJ, Wang SJ, Huang K, Sung W (1983) Modern tectonic stress field and relative motion of intraplate block in China. Seismol Geol 5(2):79–90 (in Chinese) Google Scholar
  16. Kavanagh KT, Clough R (1972) Finite element application in the characterization of elastic solids. Int J Solid Struct 7(1):11–23CrossRefGoogle Scholar
  17. Khademian Z, Shahriar K, Nik MG (2012) Developing an algorithm to estimate in situ stresses using a hybrid numerical method based on local stress measurement. Int J Rock Mech Min Sci 55:80–85CrossRefGoogle Scholar
  18. Lamas L, Muralha J, Figueiredo B (2010) Application of a global interpretation model for assessment of the stress field for engineering purposes. In: 5th International Symposium on In-situ Rock Stress—ISRS V, Beijing, China. Also in ISRM News Journal, vol 13Google Scholar
  19. Li G, Mizuta Y, Ishida T, Li H, Nakama S, Sato T (2009) Stress field determination from local stress measurements by numerical modeling. Int J Rock Mech Min Sci 30:111–123Google Scholar
  20. Liu YQ, Li HB, Pei QT, Yu C, Luo CW, Yang FW (2011) Study of distribution regularities of in situ stress field in steep and narrow river valleys. Chin J Rock Mech Eng 31(12):2435–2443 (in Chinese) Google Scholar
  21. Ljunggren C, Chang Y, Janson T, Christiansson R (2003) An overview of rock stress measurement methods. Int J Rock Mech Min Sci 40(7):975–989CrossRefGoogle Scholar
  22. Lu B, Dong ZH, Huang SL (2011) Scientific report on the fast measurement and back analysis for the underground powerhouse group caverns construction of Guandi hydropower station located on Yalong River[R]. Yangtze River Scientific Research Institute, Wuhan (in Chinese) Google Scholar
  23. Pei QT, Ding XL, Lu B, Zhang YT, Huang SL, Dong ZH (2016) An improved method for estimating in situ stress in an elastic rock mass and its engineering application. Open Geosci 8:523–537Google Scholar
  24. Savage WZ, Swolfs HS, Powers PS (1985) Gravitational stresses in long symmetric ridges and valleys. Int J Rock Mech Min Sci Geomech Abstr 22(5):291–302CrossRefGoogle Scholar
  25. Sheorey PR (1994) A theory for in situ stresses in isotropic and transversely isotropic rock. Int J Rock Mech Min Sci Geomech Abstr 31(1):23–34CrossRefGoogle Scholar
  26. Sjöberg J, Christiansson R, Hudson JA (2003) ISRM suggested methods for rock stress estimation—Part 2: overcoring methods. Int J Rock Mech Min Sci 40(7):999–1010CrossRefGoogle Scholar
  27. Song J, Song Z, Sun R (2012) Study of uniform experiment design method applying to civil engineering. Proc Eng 31:739–745CrossRefGoogle Scholar
  28. Tan CX, Wang RJ, Sun Y (2004) Numerical modelling estimation of the ‘tectonic stress plane’ (TSP) beneath topography with quasi-U-shaped valleys. Int J Rock Mech Min Sci 41:303–310CrossRefGoogle Scholar
  29. Wang SY, Cui HJ (2013) Generalized F test for high dimensional linear regression coefficients. J Multivar Anal 117:134–149CrossRefGoogle Scholar
  30. Wang JA, Huang K, Zhang R (2013) Sub-regional nonlinear in situ stress inversion analysis of complex high steep slope of open pit. Rock Soil Mech 34(S2):214–221 (in Chinese) Google Scholar
  31. Xu WY, Zhang JC, Wang W, Wang RB (2014) Investigation into in situ stress fields in the asymmetric V-shaped river valley at the Wudongde dam site, southwest China. Bull Eng Geol Environ 73(2):465–477CrossRefGoogle Scholar
  32. Yu CH (2010) Research on the Faults Activity and Seismic Hazard in Shenzhen. Zhejiang University, Hangzhou (in Chinese) Google Scholar
  33. Zhang SK, Yin SD (2014) Determination of in situ stresses and elastic parameters from hydraulic fracturing tests by geomechanics modeling and soft computing. J Pet Sci Eng 124:484–492CrossRefGoogle Scholar
  34. Zhang CQ, Feng XT, Zhou H (2012) Estimation of in situ stress along deep tunnels buried in complex geological conditions. Int J Rock Mech Min Sci 52:139–162CrossRefGoogle Scholar
  35. Zhang GW, Guo AL, Wang YJ, Li SZ, Dong YP, Liu SF, He DF, Cheng SY, Lu RK, Yao AP (2013) Tectonics of South China continent and its implications. Sci China Earth Sci. 56(11):1804–1828CrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  • Qitao Pei
    • 1
    Email author
  • Xiuli Ding
    • 1
  • Yuankun Liu
    • 1
  • Bo Lu
    • 1
  • Shuling Huang
    • 1
  • Jing Fu
    • 1
  1. 1.Key Laboratory of Geotechnical Mechanics and Engineering of Ministry of Water ResourcesYangtze River Scientific Research InstituteWuhanChina

Personalised recommendations