Abbreviations
- \(\gamma\) :
-
Bridge step angle
- L :
-
Bridge length
- JRC:
-
Joint roughness coefficient
- \(\sigma_{\text{n}}\) :
-
Normal stress
- β :
-
Joint orientation
- k :
-
Joint persistency
- d :
-
Spacing
- e :
-
Aperture
- \(\tau_{\text{n}}\) :
-
Shear strength of jointed rock
- \(\sigma_{\text{cm}}\) :
-
Uniaxial compressive strength of jointed rock
- DoE:
-
Design of experiments
- OA:
-
Orthogonal array
- RSM:
-
Response surface methodology
- ANOVA:
-
Analysis of variance
- y :
-
Depended variable
- \(\beta_{ii} , \, \beta_{ij} , \, \beta_{i} ,{\text{ and}}\;\beta_{0}\) :
-
Regression coefficients
References
Asadizadeh M, Hossaini MF (2016) Predicting rock mass deformation modulus by artificial intelligence approach based on dilatometer tests. Arab J Geosci 9:96
Asadizadeh M, Rezaei M (2019) Surveying the mechanical response of non-persistent jointed slabs subjected to compressive axial loading utilising GEP approach. Int J Geotech Eng. https://doi.org/10.1080/19386362.19382019.11596610
Asadizadeh M, Hossaini MF, Moosavi M, Mohammadi S (2016) A laboratory study on mix design to properly resemble a jointed brittle rock. Int J Min Geo-Eng 50:201–210
Asadizadeh M, Moosavi M, Hossaini MF, Masoumi H (2018a) Shear strength and cracking process of non-persistent jointed rocks: an extensive experimental investigation. Rock Mech Rock Eng 51:415–428
Asadizadeh M, Moosavi M, Hossaini MF (2018b) Investigation of mechanical behaviour of non-persistent jointed blocks under uniaxial compression. Geomech eng 14(1):29–42
Asghar A, Raman AAA, Daud WMAW (2014) A comparison of central composite design and taguchi method for optimizing fenton process. Sci World J. https://doi.org/10.1155/2014/869120
Azami M, Bahram M, Nouri S (2013) Central composite design for the optimization of removal of the azo dye, methyl red, from waste water using Fenton reaction. Curr Chem Lett 2:57–68
Bahaaddini M, Sharrock G, Hebblewhite BK (2013) Numerical investigation of the effect of joint geometrical parameters on the mechanical properties of a non-persistent jointed rock mass under uniaxial compression. Comput Geotech 49:206–225
Bahaaddini M, Hagan P, Mitra R, Hebblewhite BK (2016) Numerical study of the mechanical behavior of nonpersistent jointed rock masses. Int J Geomech 16:04015035
Bong T, Son Y, Noh S, Park J (2014) Probabilistic analysis of consolidation that considers spatial variability using the stochastic response surface method. Soils Found 54:917–926
Box GEP, Wilson KB (1951) On the experimental attainment of optimum conditions. J R State Soc B 13:1–34
Brady BHG, Brown ET (2006) Rock mechanics: for underground mining. Springer, Berlin
Enayatollahi I, Bazzazi AA, Asadi A (2014) Comparison between neural networks and multiple regression analysis to predict rock fragmentation in open-pit mines. Rock Mech Rock Eng 47:799–807
Gehle C, Kutter HK (2003) Breakage and shear behavior of intermittent rock joints. Int J Rock Mech Min Sci 40:687–700
Ghazvinian A, Sarfarazi V, Schubert W, Blumel M (2012) A study of the failure mechanism of planar non-persistent open joints using PFC2D. Rock Mech Rock Eng 45:677–693
Ghazvinian A, Nejati HR, Sarfarazi V, Hadei MR (2013) Mixed mode crack propagation in low brittle rock-like materials. Arab J Geosci 6:4435–4444
Heidarzadeh S, Saeidi A, Rouleau A (2018) Assessing the effect of open stope geometry on rock mass brittle damage using a response surface methodology. Int J Rock Mech Min Sci 106:60–73
Karakus M, Tutmez B (2006) Fuzzy and multiple regression modelling for evaluation of intact rock strength based on point load, schmidt hammer and sonic velocity. Rock Mech Rock Eng 39:45–57
Kim BH, Cai M, Kaiser PK, Yang HS (2007) Estimation of block sizes for rock masses with non-persistent joints. Rock Mech Rock Eng 40:169–192
Kirmizakis P, Tsamoutsoglou C, Kayan B, Kalderis D (2014) Subcritical water treatment of landfill leachate: application of response surface methodology. J Environ Manag 146:9–15
Kulatilake PHSW, Ucpirt H, Wang PS, Radberg G, Stephansson O (1992) Use of the distinct element method to perform stress analysis in rock with non-persistent joints and to study the effect of joint geometry parameters on the strength and deformability of rock masses. Rock Mech Rock Eng 25:253–274
Lajtai EZ (1969) Strength of discontinuous rocks in direct shear. Geotechnique 19:218–332
Langford JC, Diederichs MS (2015) Reliable support design for excavations in brittle rock using a global response surface method. Rock Mech Rock Eng 48:669–689
Li D, Chen Y, Lu W, Zhou C (2011) Stochastic response surface method for reliability analysis of rock slopes involving correlated non-normal variables. Comput Geotech 38:58–68
Li DQ, Jiang SH, Cao ZJ, Zhou W, Zhou CB, Zhang LM (2015) A multiple response-surface method for slope reliability analysis considering spatial variability of soil properties. Eng Geol 187:60–72
Li DQ, Zheng D, Cao ZJ, Tang XS, Phoon KK (2016) Response surface methods for slope reliability analysis: review and comparison. Eng Geol 203:3–14
Li D, Masoumi H, Saydam S, Hagan PC (2018) Characterisation of modified cable bolts under axial loading: an extensive parametric study. Rock Mech Rock Eng 51:2895–2910
Lü Q, Sun HU, Low BK (2011) Reliability analysis of ground–support interaction in circular tunnels using the response surface method. Int J Rock Mech Min Sci 48:1329–1343
Mollon G, Dias D, Soubra AH (2011) Probabilistic analysis of pressurized tunnels against face stability using collocation-based stochastic response surface method. J Geotech Geoenviron Eng 137:385–397
Moosavi V, Talebi A, Shirmohammadi B (2014) Producing a landslide inventory map using pixel-based and object-oriented approaches optimized by Taguchi method. Geomorphology 204:646–656
Noshadi I, Amin NAS, Parnas RS (2012) Continuous production of biodiesel from waste cooking oil in a reactive distillation column catalyzed by solid heteropolyacid: optimization using response surface methodology (RSM). Fuel 94:156–164
Park D, Park ES (2015) Inverse parameter fitting of tunnels using a response surface approach. Int J Rock Mech Min Sci 77:11–18
Prudencio M, Van-Sint-Jan M (2007) Strength and failure modes of rock mass models with non-persistent joints. Int J Rock Mech Min Sci 44:890–902
Raina AK, Murthy VMSR (2016) Prediction of flyrock distance in open pit blasting using surface response analysis. Geotech Geol Eng 34:15–28
Sarfarazi V, Ghazvinian A, Schubert W (2014) Numerical simulation of the process of fracture of echelon rock joints. Rock Mech Rock Eng 47:1355–1371
Sarfarazi V, Ghazvinian A, Schubert W (2016) Numerical simulation of shear behaviour of non- persistent joints under low and high normal loads. Period Polytech Civ Eng 60:517–529
Savilahti T, Nordlund E, Stephansson O (1990) Shear box testing and modeling of joint bridge. In: Proceedings of international symposium on shear box testing and modeling of joint bridge Rock Joints, Norway, pp 295–300
Shamekhi E, Tannant DD (2015) Probabilistic assessment of rock slope stability using response surfaces determined from finite element models of geometric realizations. Comput Geotech 69:70–81
Stat-Ease (2019) https://www.statease.com/dx11.html. Accessed 1 Jan 2019
Su O (2016) Performance evaluation of button bits in coal measure rocks by using multiple regression analyses. Rock Mech Rock Eng 49:541–553
Taguchi G, Konishi S (1987) Taguchi methods orthogonal arrays and linear graphs: tools for quality engineering. American Supplier Institute, Nasar City
Vergara MR, Van Sint Jan M, Lorig L (2016) Numerical model for the study of the strength and failure modes of rock containing non-persistent joints. Rock Mech Rock Eng 49:1211–1226
Wong FS (1985) Slope reliability and response surface method. J Geotech Geoenviron Eng 111:32–53
Yang XX, Kulatilake PHSW, Chen X, Jing HW, Yang SQ (2016) Particle flow modeling of rock blocks with nonpersistent open joints under uniaxial compression. Int J Geomech 16:04016020
Zhang WG, Goh ATC (2015) Regression models for estimating ultimate and serviceability limit states of underground rock caverns. Eng Geol 188:68–76
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Asadizadeh, M., Masoumi, H., Roshan, H. et al. Coupling Taguchi and Response Surface Methodologies for the Efficient Characterization of Jointed Rocks’ Mechanical Properties. Rock Mech Rock Eng 52, 4807–4819 (2019). https://doi.org/10.1007/s00603-019-01853-1
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00603-019-01853-1