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A Progressive Framework for Delineating Homogeneous Domains in Complicated Fractured Rock Masses: A Case Study from the Xulong Dam Site, China

  • Jiewei Zhan
  • Yunming Pang
  • Jianping ChenEmail author
  • Chen Cao
  • Shengyuan Song
  • Xin Zhou
Original Paper
  • 68 Downloads

Abstract

As components of natural geological bodies, rock masses generally experience long-term endogenic and exogenic geological processes. Since the composition and structure of rock masses generally vary from one domain to another, it is necessary to divide rock masses into several approximately homogeneous domains before developing rock engineering designs. A progressive framework that integrates geological, geotechnical and structural aspects was proposed to demarcate homogeneous domains. The proposed framework was applied to identify the homogeneous domains along three exploration tunnels at the Xulong dam site. The demarcation of geological domains was mainly done by means of thin-section examination of rock specimens and outcrop investigation. Field observations and P wave velocity tests were used to distinguish the changes in the geotechnical properties of rock masses caused by rock unloading and weathering. The crack tensor, which can synthetically consider the orientation, dimension and volume density of discontinuities, was introduced to determine the structural similarity of rock masses based on in situ measurable quantities. The results show that the crack tensor can effectively distinguish structural differences and exhibits better performance than conventional orientation-based methods. A major advantage of the proposed progressive framework is that it provides a quantitative, logical and reasonable framework to delineate homogeneous domains based on the comprehensive utilization of available field data in a logical sequence.

Keywords

Homogeneous domain Geological domain Geotechnical domain Structural domain Crack tensor Fractured rock mass 

List of Symbols

Fij

Crack tensor

ρ

Volume density of discontinuities

r

Dimension of discontinuities

rm

Maximum size of discontinuities

n

Unit vector normal to discontinuity surface

ni

Component of n

E(n, r)

Density function to show the statistical distribution of n and r

Ω

Solid angle corresponding to the surface of a unit sphere

V

Volume of rock masses

k

Serial number of discontinuities

m(V)

Number of discontinuities in V

Fi

Principal value of Fij

δij

Kronecker’s delta

\(I_{1}^{\left( F \right)}\)

The first invariant of Fij

A(F)

Anisotropy index of discontinuity networks

<rn>

The nth moment of r

Nij

Symmetric, second-rank tensor depending only on E(n)

t

Trace length

<tn>

The nth moment of t

q

Unit vector parallel to scanline

N(q)

Number of discontinuities that intersect with the unit length scanline

\({\varvec{F}}_{ij}^{{\left( {\text{Left}} \right)}}\)

Crack tensor for a rock mass domain (Left side)

\({\varvec{F}}_{ij}^{{\left( {\text{Right}} \right)}}\)

Crack tensor for a rock mass domain (right side)

\(\Delta {\varvec{F}}_{ij}^{\left( E \right)}\)

Error tensor

RE

Relative error

CE

Correlation coefficient

\(\bar{F}\)

Average of tensor elements

VP

P wave velocity of rock mass

Notes

Acknowledgements

The authors gratefully acknowledge the support from the Key Project of NSFC-Yunnan Joint Fund (Grant No. U1702241), the State Key Program of National Natural Science Fund of China (Grant No. 41330636), the National Natural Science Fund of China (Grant No. 41702301) and the Opening Fund of SKLGP (Grant No. SKLGP2018K017). The authors would like to kindly acknowledge the editor and two anonymous reviewers for their comments and suggestions which helped a lot in making this paper better.

References

  1. Abul Khair H, Cooke D, Hand M (2015) Paleo stress contribution to fault and natural fracture distribution in the Cooper Basin. J Struct Geol 79:31–41CrossRefGoogle Scholar
  2. Barla G, Fan QX, Peng L (2018) Introduction to the special issue “Super high arch dams and underground caverns in China”. Rock Mech Rock Eng 51:2447–2450CrossRefGoogle Scholar
  3. Broili L (1972) Geology in rock mechanics. In: Muller L (ed) Rock mechanics. Springer Vienna, Vienna, pp 35–69CrossRefGoogle Scholar
  4. Cano M, Tomas R (2016) Proposal of a new parameter for the weathering characterization of carbonate Flysch-like rock masses: the potential degradation index (PDI). Rock Mech Rock Eng 49:2623–2640CrossRefGoogle Scholar
  5. Cao WT, Yan DP, Qiu L, Zhang YX, Qiu JW (2015) Structural style and metamorphic conditions of the Jinshajiang metamorphic belt: nature of the Paleo-Jinshajiang orogenic belt in the eastern Tibetan Plateau. J Asian Earth Sci 113:748–765CrossRefGoogle Scholar
  6. Cepuritis PM (2004) Three-dimensional rock mass characterisation for the design of excavations and estimation of ground support requirements. In: Villaescusa E, Potvin Y (eds) Ground support in mining and underground construction. Taylor & Francis, Perth, pp 205–229Google Scholar
  7. Cui J, Jiang Q, Feng XT, Li SJ, Gao H, Li SJ (2016) Equivalent elastic compliance tensor for rock mass with multiple persistent joint sets: exact derivation via modified crack tensor. J Cent South Univ 23:1486–1507CrossRefGoogle Scholar
  8. Dershowitz W, Lapointe P, Cladouhos T (1998) Derivation of fracture spatial pattern parameters from borehole data. Int J Rock Mech Min Sci 35:508CrossRefGoogle Scholar
  9. Eberhardt E (2012) The Hoek-Brown failure criterion. Rock Mech Rock Eng 45:981–988CrossRefGoogle Scholar
  10. Emery X (2007) Simulation of geological domains using the plurigaussian model: new developments and computer programs. Comput Geosci 33:1189–1201CrossRefGoogle Scholar
  11. Emery X, Gonzalez KE (2007) Incorporating the uncertainty in geological boundaries into mineral resources evaluation. J Geol Soc India 69:29–38Google Scholar
  12. Escuder Viruete J, Carbonell R, Jurado MJ, Marti D, Perez-Estaun A (2001) Two-dimensional geostatistical modeling and prediction of the fracture system in the Albala Granitic Pluton, SW Iberian Massif, Spain. J Struct Geol 23:2011–2023CrossRefGoogle Scholar
  13. Feng XT, Zhou YY, Jiang Q (2019) Rock mechanics contributions to recent hydroelectric developments in China. J Rock Mech Geotech Eng 11:511–526CrossRefGoogle Scholar
  14. Ferrero AM, Migliazza M, Roncella R, Rabbi E (2011) Rock slopes risk assessment based on advanced geostructural survey techniques. Landslides 8:221–231CrossRefGoogle Scholar
  15. Fookes PG (1997) Geology for engineers: the geological model, prediction and performance. Q J Eng Geol Hydrogeol 30:293–424CrossRefGoogle Scholar
  16. Han XD, Chen JP, Wang Q, Li YY, Zhang W, Yu TW (2016) A 3D fracture network model for the undisturbed rock mass at the Songta dam site based on small samples. Rock Mech Rock Eng 49:611–619CrossRefGoogle Scholar
  17. Hashemi M, Moghaddas S, Ajalloeian R (2010) Application of rock mass characterization for determining the mechanical properties of rock mass: a comparative study. Rock Mech Rock Eng 43:305–320CrossRefGoogle Scholar
  18. Hudson JA, Harrison JP (2002) The principles of partitioning rock masses into structural domains for modelling and engineering purposes. In: Hammah R, Bawden W, Curran J, Telesnicki M (eds) Proceedings of the NARMS-TAC 2002 conference. University of Toronto Press, Toronto, pp 623–628Google Scholar
  19. Immerzeel WW, van Beek LP, Bierkens MF (2010) Climate change will affect the Asian water towers. Science 328:1382–1385CrossRefGoogle Scholar
  20. Jakubec J, Long L, Nowicki T, Dyck D (2004) Underground geotechnical and geological investigations at Ekati Mine-Koala North: case study. Lithos 76:347–357CrossRefGoogle Scholar
  21. Kulatilake PHSW, Wu TH (1984) Sampling bias on orientation of discontinuities. Rock Mech Rock Eng 17:243–253CrossRefGoogle Scholar
  22. Kulatilake PHSW, Chen JP, Teng J, Xiao SF, Pan G (1996) Discontinuity geometry characterization in a tunnel close to the proposed permanent shiplock area of the three gorges dam site in China. Int J Rock Mech Min Sci Geomech Abstr 33:255–277CrossRefGoogle Scholar
  23. Kulatilake PHSW, Fiedler R, Panda BB (1997) Box fractal dimension as a measure of statistical homogeneity of jointed rock masses. Eng Geol 48:217–229CrossRefGoogle Scholar
  24. Lan HX, Hu RL, Yue ZQ, Lee CF, Wang SJ (2003) Engineering and geological characteristics of granite weathering profiles in South China. J Asian Earth Sci 21:353–364CrossRefGoogle Scholar
  25. Lato MJ, Diederichs MS, Hutchinson DJ (2010) Bias correction for view-limited lidar scanning of rock outcrops for structural characterization. Rock Mech Rock Eng 43:615–628CrossRefGoogle Scholar
  26. Li YY, Wang Q, Chen JP, Han LL, Song SY (2014a) Identification of structural domain boundaries at the Songta dam site based on nonparametric tests. Int J Rock Mech Min Sci 70:177–184CrossRefGoogle Scholar
  27. Li YY, Wang Q, Chen JP, Han LL, Zhang W, Ruan YK (2014b) Determination of structural domain boundaries in jointed rock masses: an example from the Songta dam site, China. J Struct Geol 69:179–188CrossRefGoogle Scholar
  28. Li YL, Wang CS, Dai JG, Xu GQ, Hou YL, Li XH (2015a) Propagation of the deformation and growth of the Tibetan-Himalayan orogen: a review. Earth Sci Rev 143:36–61CrossRefGoogle Scholar
  29. Li YY, Wang Q, Chen JP, Song SY, Ruan YK, Zhang Q (2015b) A multivariate technique for evaluating the statistical homogeneity of jointed rock masses. Rock Mech Rock Eng 48:1821–1831CrossRefGoogle Scholar
  30. Mahtab MA, Yegulalp TM (1984) A similarity test for grouping orientation data in rock mechanics. In: Dowding CH, Singh MM (eds) Proceedings of the 25th US Symposium on rock mechanics (USRMS). American Institute of Mining, Evanston, pp 495–502Google Scholar
  31. Marinos P, Marinos V, Hoek E (2007) Geological Strength Index (GSI): a characterization tool for assessing engineering properties for rock masses. In: Mark C, Pakalnis R, Tuchman RJ (eds) Proceedings of international workshop on rock mass classification for underground mining, Madrid, Spain. Taylor and Francis Group, London, pp 87–94Google Scholar
  32. Martin MW, Tannant DD (2004) A technique for identifying structural domain boundaries at the EKATI diamond mine. Eng Geol 74:247–264CrossRefGoogle Scholar
  33. Mathis JI (2016) Structural domain determination: practicality and pitfalls. In: Dight PM (ed) Proceedings of the First Asia Pacific Slope Stability in Mining Conference, Perth, Australia. Australian Centre for Geomechanics, Australia, pp 203–212Google Scholar
  34. Mazzoccola DF, Millar DL, Hudson JA (1997) Information, uncertainty and decision making in site investigation for rock engineering. Geotech Geol Eng 15:145–180Google Scholar
  35. Miller SM (1983) A statistical method to evaluate homogeneity of structural populations. Math Geol 15:317–328CrossRefGoogle Scholar
  36. Min KB, Jing LR, Stephansson O (2004) Determining the equivalent permeability tensor for fractured rock masses using a stochastic REV approach: method and application to the field data from Sellafield, UK. Hydrogeol J 12:497–510CrossRefGoogle Scholar
  37. 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 50:555–570CrossRefGoogle Scholar
  38. Oda M (1982) Fabric tensor for discontinuous geological materials. Soils Found 22:96–108CrossRefGoogle Scholar
  39. Oda M (1983) A method for evaluating the effect of crack geometry on the mechanical behavior of cracked rock masses. Mech Mater 2:163–171CrossRefGoogle Scholar
  40. Oda M (1984) Similarity rule of crack geometry in statistically homogeneous rock masses. Mech Mater 3:119–129CrossRefGoogle Scholar
  41. Oda M (1985) Permeability tensor for discontinuous rock masses. Geotechnique 35:483–495CrossRefGoogle Scholar
  42. Oda M (1988a) An experimental study of the elasticity of mylonite rock with random cracks. Int J Rock Mech Min Sci Geomech Abstr 25:59–69CrossRefGoogle Scholar
  43. Oda M (1988b) A method for evaluating the representative elementary volume based on joint survey of rock masses. Can Geotech J 25:440–447CrossRefGoogle Scholar
  44. Oda M, Yamabe T, Kamemura K (1986) A crack tensor and its relation to wave velocity anisotropy in jointed rock masses. Int J Rock Mech Min Sci Geomech Abstr 23:387–397CrossRefGoogle Scholar
  45. Oda M, Yamabe T, Ishizuka Y, Kumasaka H, Tada H, Kimura K (1993) Elastic stress and strain in jointed rock masses by means of crack tensor analysis. Rock Mech Rock Eng 26:89–112CrossRefGoogle Scholar
  46. Ortiz JM, Emery X (2006) Geostatistical estimation of mineral resources with soft geological boundaries: a comparative study. J South Afr Inst Min Metall 106:577–584Google Scholar
  47. Ozkan I, Erdem B, Ceylanoglu A (2015) Characterization of jointed rock masses for geotechnical classifications utilized in mine shaft stability analyses. Int J Rock Mech Min Sci 73:28–41CrossRefGoogle Scholar
  48. Panda BB, Kulatilake PHSW (1999) Relations between fracture tensor parameters and jointed rock hydraulics. J Eng Mech 125:51–59CrossRefGoogle Scholar
  49. Piteau DR, Russell L (1971) Cumulative sums technique: a new approach to analyzing joints in rock. In: Cording EJ (ed) Proceedings of the 13th US symposium on rock mechanics. American Society of Civil Engineers, Urbana, pp 1–29Google Scholar
  50. Priest SD (1993) Discontinuity analysis for rock engineering. Chapman & Hall, LondonCrossRefGoogle Scholar
  51. Qi SW, Wu FQ, Yan FZ, Lan HX (2004) Mechanism of deep cracks in the left bank slope of Jinping first stage hydropower station. Eng Geol 73:129–144CrossRefGoogle Scholar
  52. Qi SW, Xu Q, Lan HX, Zhang B, Liu JY (2010) Spatial distribution analysis of landslides triggered by 2008.5.12 Wenchuan Earthquake, China. Eng Geol 116:95–108CrossRefGoogle Scholar
  53. Read J, Stacey P (2009) Guidelines for open pit slope design. CSIRO Publishing, CollingwoodCrossRefGoogle Scholar
  54. Saroglou C, Qi SW, Guo SF, Wu FQ (2019) ARMR, a new classification system for the rating of anisotropic rock masses. Bull Eng Geol Environ 78:3611–3626CrossRefGoogle Scholar
  55. Sawyer EW (2008) Atlas of migmatites: the Canadian mineralogist special publication 9. NRC Research Press, OttawaCrossRefGoogle Scholar
  56. Sbroglia RM, Reginatto GMP, Higashi RAR, Guimaraes RF (2018) Mapping susceptible landslide areas using geotechnical homogeneous zones with different DEM resolutions in Ribeirao Bau basin, Ilhota/SC/Brazil. Landslides 15:2093–2106CrossRefGoogle Scholar
  57. Shen XM, Niu XQ, Lu WB, Chen M, Yan P, Wang GH, Leng ZD (2017) Rock mass utilization for the foundation surfaces of high arch dams in medium or high geo-stress regions: a review. Bull Eng Geol Environ 76:795–813CrossRefGoogle Scholar
  58. Singh TN, Kainthola A, Venkatesh A (2012) Correlation between point load index and uniaxial compressive strength for different rock types. Rock Mech Rock Eng 45:259–264CrossRefGoogle Scholar
  59. Song SY, Wang Q, Chen JP, Cao C, Li YY, Zhou X (2015a) Demarcation of homogeneous structural domains within a rock mass based on joint orientation and trace length. J Struct Geol 80:16–24CrossRefGoogle Scholar
  60. Song SY, Wang Q, Chen JP, Li YY, Zhang Q, Cao C (2015b) A multivariate method for identifying structural domain boundaries in a rock mass. Bull Eng Geol Environ 74:1407–1418CrossRefGoogle Scholar
  61. Stavropoulou M, Exadaktylos G, Saratsis G (2007) A combined three-dimensional geological-geostatistical-numerical model of underground excavations in rock. Rock Mech Rock Eng 40:213–243CrossRefGoogle Scholar
  62. Stead D, Wolter A (2015) A critical review of rock slope failure mechanisms: the importance of structural geology. J Struct Geol 74:1–23CrossRefGoogle Scholar
  63. Sturzenegger M, Stead D (2009) Quantifying discontinuity orientation and persistence on high mountain rock slopes and large landslides using terrestrial remote sensing techniques. Nat Hazards Earth Syst Sci 9:267–287CrossRefGoogle Scholar
  64. Takemura T, Oda M (2004) Stereology-based fabric analysis of microcracks in damaged granite. Tectonophysics 387:131–150CrossRefGoogle Scholar
  65. Takemura T, Golshani A, Oda M, Suzuki K (2003) Preferred orientations of open microcracks in granite and their relation with anisotropic elasticity. Int J Rock Mech Min Sci 40:443–454CrossRefGoogle Scholar
  66. Ulusay R, Hudson JA (2007) The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974–2006. Compilation arranged by the ISRM Turkish National Group, Ankara, TurkeyGoogle Scholar
  67. Wang XF, Metcalfe I, Jian P, He LQ, Wang CS (2000) The Jinshajiang-Ailaoshan suture zone, China: tectonostratigraphy, age and evolution. J Asian Earth Sci 18:675–690CrossRefGoogle Scholar
  68. Wu FQ, Wang SJ (2001) Strength theory of homogeneous jointed rock mass. Geotechnique 51:815–818CrossRefGoogle Scholar
  69. Wu FQ, Liu JY, Liu T, Zhuang HZ, Yan CG (2009) A method for assessment of excavation damaged zone (EDZ) of a rock mass and its application to a dam foundation case. Eng Geol 104:254–262CrossRefGoogle Scholar
  70. Xue YG, Li SC, Qiu DH, Wang ZC, Su MX (2014) Determination of statistical homogeneity by comprehensively considering the discontinuity information. Teh Vjesn 21:971–977Google Scholar
  71. Yagiz S (2011) P-wave velocity test for assessment of geotechnical properties of some rock materials. Bull Mater Sci 34:947–953CrossRefGoogle Scholar
  72. Ye JH, Wu FQ, Sun JZ (2009) Estimation of the tensile elastic modulus using Brazilian disc by applying diametrically opposed concentrated loads. Int J Rock Mech Min Sci 46:568–576CrossRefGoogle Scholar
  73. Zhan JW, Chen JP, Xu PH, Han XD, Chen Y, Ruan YK, Zhou X (2017a) Computational framework for obtaining volumetric fracture intensity from 3D fracture network models using Delaunay triangulations. Comput Geotech 89:179–194CrossRefGoogle Scholar
  74. Zhan JW, Chen JP, Xu PH, Zhang W, Han XD, Zhou X (2017b) Automatic identification of rock fracture sets using finite mixture models. Math Geosci 49:1021–1056CrossRefGoogle Scholar
  75. Zhan JW, Xu PH, Chen JP, Wang Q, Zhang W, Han XD (2017c) Comprehensive characterization and clustering of orientation data: a case study from the Songta dam site, China. Eng Geol 225:3–18CrossRefGoogle Scholar
  76. Zhan JW, Chen JP, Zhang W, Han XD, Sun XH, Bao YD (2018) Mass movements along a rapidly uplifting river valley: an example from the upper Jinsha River, southeast margin of the Tibetan Plateau. Environ Earth Sci 77:634CrossRefGoogle Scholar
  77. Zhang LY, Einstein HH (1998) Estimating the mean trace length of rock discontinuities. Rock Mech Rock Eng 31:217–235CrossRefGoogle Scholar
  78. Zhang W, Zhao QH, Huang RQ, Chen JP, Xue YG, Xu PH (2016) Identification of structural domains considering the size effect of rock mass discontinuities: a case study of an underground excavation in Baihetan Dam, China. Tunnell Undergr Space Technol 51:75–83CrossRefGoogle Scholar
  79. Zhao WH, Frost JD, Huang RQ, Yan M, Jin LD (2017) Distribution and quantitative zonation of unloading cracks at a proposed large hydropower station dam Site. J Mt Sci 14:2106–2121CrossRefGoogle Scholar
  80. Zhong DN, Liu YR, Cheng L, Yang Q, Chen YL (2019) Study of unloading relaxation for excavation based on unbalanced force and its application in Baihetan arch dam. Rock Mech Rock Eng 52:1819–1833CrossRefGoogle Scholar
  81. Zhu HM (2015) Cleavage boundary extraction of the left dam abutment resisting force body and preliminary stability study of Xulong hydropower station. M.S. Thesis, Chengdu University of TechnologyGoogle Scholar

Copyright information

© Springer-Verlag GmbH Austria, part of Springer Nature 2019

Authors and Affiliations

  • Jiewei Zhan
    • 1
  • Yunming Pang
    • 2
  • Jianping Chen
    • 1
    Email author
  • Chen Cao
    • 1
  • Shengyuan Song
    • 1
    • 3
  • Xin Zhou
    • 1
  1. 1.College of Construction EngineeringJilin UniversityChangchunChina
  2. 2.Three Gorges Geotechnical Consultants Co., LtdWuhanChina
  3. 3.The State Key Laboratory of Geohazards Prevention and Geoenvironment Protection (SKLGP)Chengdu University of TechnologyChengduChina

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