Skip to main content
Top
Published in: Rock Mechanics and Rock Engineering 6/2021

24-03-2021 | Original Paper

A Method to Correct Indirect Strain Measurements in Laboratory Uniaxial and Triaxial Compressive Strength Tests

Authors: L. R. Alejano, X. Estévez-Ventosa, M. A. González-Fernández, G. Walton, I. G. West, N. A. González-Molano, J. Alvarellos

Published in: Rock Mechanics and Rock Engineering | Issue 6/2021

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

When carrying out uniaxial, standard triaxial, or true triaxial compressive tests on rock, the strain response of the specimens can be measured directly or indirectly. The most commonly used devices are strain gauges (local direct measurements) and displacement sensors (global indirect measurements). Strain gauges are glued to specimens and directly measure electrical resistance. Displacement sensors, typically linear variable differential transformers (LVDTs), indirectly measure displacements. The former is more precise at its smaller measurement scale, but may not work under high temperatures or when a strain gauge detaches due cracking under stresses close to the peak or in the post-peak portion of the stress–strain curve. It was observed that the strain responses recorded using strain gauges and displacement sensors tend to differ, which is why a corrective approach was proposed to recover stress–strain curves based on indirect measurements. This study describes an approach to correct platen-to-platen displacement measurements based on energy calculations to derive axial strain and to obtain radial strain using modified computations based on the volume fluid change within the Hoek’s cell in triaxial testing. The study concludes that part of the displacement recorded by LVDTs can be associated with displacement in the plate sample contacts, but the component of energy transmitted to the samples can be estimated at different levels of load, so that these indirect measurements can be corrected. For the case of triaxial tests, the volumetric or radial strain can be computed based on the volume change in the Hoek’s cell. This approach is useful for correcting indirect strain measurements. It can also serve as a starting point for the development of corrections for application to data from other test types, such as for true triaxial tests. The study aims to ultimately contribute to a better understanding of strain measurements while conducting compressive tests on rock.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Acar C, Gunduz Z, Kara B (2014) Modulus of elasticity determination of rocks using compressometer, strain gauge and LVDT. In: 11th International Congress on advances in civil engineering- ACE 2014 Acar C, Gunduz Z, Kara B (2014) Modulus of elasticity determination of rocks using compressometer, strain gauge and LVDT. In: 11th International Congress on advances in civil engineering- ACE 2014
go back to reference Alejano LR, Arzúa J, Bozorgzadeh N, Harrison JP (2017) Triaxial strength and deformability of intact and increasingly jointed granite samples. Int J Rock Mech Min Sci 95:87–103CrossRef Alejano LR, Arzúa J, Bozorgzadeh N, Harrison JP (2017) Triaxial strength and deformability of intact and increasingly jointed granite samples. Int J Rock Mech Min Sci 95:87–103CrossRef
go back to reference Alejano LR, Arzúa J, Castro-Filgueira U, Kiuru R (2018) Scale effect of intact Olkiluoto gneissic rocks through uniaxial compressive testing and geophysical measurements. Posiva Oy Report 2018–13. Finland. http://www.posiva.fi/en/databank. Accessed 30 Mar 2020 Alejano LR, Arzúa J, Castro-Filgueira U, Kiuru R (2018) Scale effect of intact Olkiluoto gneissic rocks through uniaxial compressive testing and geophysical measurements. Posiva Oy Report 2018–13. Finland. http://​www.​posiva.​fi/​en/​databank. Accessed 30 Mar 2020
go back to reference Arzúa J, Alejano LR (2013) Dilation in granite during servo-controlled triaxial strength tests. Int J Rock Mech Min Sci 61:43–56CrossRef Arzúa J, Alejano LR (2013) Dilation in granite during servo-controlled triaxial strength tests. Int J Rock Mech Min Sci 61:43–56CrossRef
go back to reference Arzúa J, Alejano LR, Walton G (2014) Strength and dilation of jointed granite specimens in servo-controlled triaxial tests. Int J Rock Mech Min Sci 69:93–104CrossRef Arzúa J, Alejano LR, Walton G (2014) Strength and dilation of jointed granite specimens in servo-controlled triaxial tests. Int J Rock Mech Min Sci 69:93–104CrossRef
go back to reference ASTM (2004). D 2845–00 (reapproved 2004). Standard Test Method for Laboratory Determination of Pulse Velocities and Ultrasonic Elastic Constants of Rock. ASTM International, West Conshohocken, USA ASTM (2004). D 2845–00 (reapproved 2004). Standard Test Method for Laboratory Determination of Pulse Velocities and Ultrasonic Elastic Constants of Rock. ASTM International, West Conshohocken, USA
go back to reference Bastola S, Cai M (2020) Investigation of mechanical properties of jointed granite under compression using lattice-spring-based synthetic rock mass modeling approach. Int J Rock Mech Min Sci. 126:104191CrossRef Bastola S, Cai M (2020) Investigation of mechanical properties of jointed granite under compression using lattice-spring-based synthetic rock mass modeling approach. Int J Rock Mech Min Sci. 126:104191CrossRef
go back to reference Behrestaghi Nasseri MH, Young RP, Suikkanen J (2016) ONKALO POSE experiment—strength, deformation and seismic response of Olkiluoto isotropic pegmatitic granite and anisotropic migmatitic gneiss under a state of true-triaxial stress. Posiva Oy Rep. 2016–41. Finland. http://www.posiva.fi/en/databank. Accessed 25 Mar 2020 Behrestaghi Nasseri MH, Young RP, Suikkanen J (2016) ONKALO POSE experiment—strength, deformation and seismic response of Olkiluoto isotropic pegmatitic granite and anisotropic migmatitic gneiss under a state of true-triaxial stress. Posiva Oy Rep. 2016–41. Finland. http://​www.​posiva.​fi/​en/​databank. Accessed 25 Mar 2020
go back to reference Bieniawski ZT, Bernede MJ (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. Int J Rock Mech Min Sci Geomech Abstr 16:138–140 (Also in ISRM (2007))CrossRef Bieniawski ZT, Bernede MJ (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. Int J Rock Mech Min Sci Geomech Abstr 16:138–140 (Also in ISRM (2007))CrossRef
go back to reference Brady BHG, Brown ET (2004) Rock mechanics for underground mining, 3rd edn. Springer Science and Business Media, Dordrecht Brady BHG, Brown ET (2004) Rock mechanics for underground mining, 3rd edn. Springer Science and Business Media, Dordrecht
go back to reference Castro-Filgueira U, Alejano LR, Mas Ivars D (2020) Particle flow code simulation of intact and fissured granitic rock samples. J Rock Mech Geotech Eng 12:960–974CrossRef Castro-Filgueira U, Alejano LR, Mas Ivars D (2020) Particle flow code simulation of intact and fissured granitic rock samples. J Rock Mech Geotech Eng 12:960–974CrossRef
go back to reference Crouch SL (1970) Experimental determination of volumetric strains in failed rock. Int J Rock Mech Min Sci 7(6):589–603CrossRef Crouch SL (1970) Experimental determination of volumetric strains in failed rock. Int J Rock Mech Min Sci 7(6):589–603CrossRef
go back to reference Diederichs MS, Martin CD (2010) Measurement of spalling parameters from laboratory testing. In: Rock mechanics and environmental engineering. Paper presented at Proceedings of Eurock 2010; pp: 323–326. Lausanne, Switzerland. Diederichs MS, Martin CD (2010) Measurement of spalling parameters from laboratory testing. In: Rock mechanics and environmental engineering. Paper presented at Proceedings of Eurock 2010; pp: 323–326. Lausanne, Switzerland.
go back to reference Eberhardt E, Stead D, Stimpson B, Read RS (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233CrossRef Eberhardt E, Stead D, Stimpson B, Read RS (1998) Identifying crack initiation and propagation thresholds in brittle rock. Can Geotech J 35:222–233CrossRef
go back to reference Fairhurst CE, Hudson JA (1999) Draft ISRM suggested method for the complete stress–strain curve for intact rock in uniaxial compression. Int J Rock Mech Min Sci Geom Abstr 36:281–289 (Also in ISRM (2007)) Fairhurst CE, Hudson JA (1999) Draft ISRM suggested method for the complete stress–strain curve for intact rock in uniaxial compression. Int J Rock Mech Min Sci Geom Abstr 36:281–289 (Also in ISRM (2007))
go back to reference Farmer IW (1983) Engineering behavior of rocks, 2nd edn. Chapman&Hall, LondonCrossRef Farmer IW (1983) Engineering behavior of rocks, 2nd edn. Chapman&Hall, LondonCrossRef
go back to reference Fogged NN, Andreassen KA (2016) Strength and deformation properties of volcanic rocks in Iceland. In: Proceedings of the 17th Nordic Geotechnical Meeting: challenges in Nordic Geotechnic 25th–28th of May. Fogged NN, Andreassen KA (2016) Strength and deformation properties of volcanic rocks in Iceland. In: Proceedings of the 17th Nordic Geotechnical Meeting: challenges in Nordic Geotechnic 25th–28th of May.
go back to reference Ghabraie B, Ren G, Zhang X, Smith J (2015) Physical modeling of subsidence from sequential extraction of partially overlapping longwall panels and study of substrata movement characteristics. Int J of Coal Geol 140:71–83CrossRef Ghabraie B, Ren G, Zhang X, Smith J (2015) Physical modeling of subsidence from sequential extraction of partially overlapping longwall panels and study of substrata movement characteristics. Int J of Coal Geol 140:71–83CrossRef
go back to reference Ghazvinian E, Diederichs MS, Archibald J (2011) Challenges related to standardized detection of crack initiation thresholds for lower-bound or ultra-long-term strength prediction of rock. In: Proc. of 2011 Pan-Am CGS Geotechnical Conference, Toronto, Canada Ghazvinian E, Diederichs MS, Archibald J (2011) Challenges related to standardized detection of crack initiation thresholds for lower-bound or ultra-long-term strength prediction of rock. In: Proc. of 2011 Pan-Am CGS Geotechnical Conference, Toronto, Canada
go back to reference ISRM (2007) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. In: ‘The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974−2006’. Prepared by the commission on testing methods, ISRM. Ankara, Turkey: Ulusay R, Hudson JA eds.; 2007. ISRM (2007) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. In: ‘The complete ISRM suggested methods for rock characterization, testing and monitoring: 1974−2006’. Prepared by the commission on testing methods, ISRM. Ankara, Turkey: Ulusay R, Hudson JA eds.; 2007.
go back to reference ISRM (2015) Upgraded ISRM suggested method for determining sound velocity by ultrasonic pulse transmission technique. In: A. Aydin. In ‘The ISRM Suggested Methods for Rock Characterization, Testing and Monitoring:2007–2014’. Prepared by the commission on testing methods, ISRM. Springer: Ulusay R, ed; 2015. ISRM (2015) Upgraded ISRM suggested method for determining sound velocity by ultrasonic pulse transmission technique. In: A. Aydin. In ‘The ISRM Suggested Methods for Rock Characterization, Testing and Monitoring:2007–2014’. Prepared by the commission on testing methods, ISRM. Springer: Ulusay R, ed; 2015.
go back to reference Jacobsson L (2007) Forsmark site investigation Borehole KFM01C Uniaxial compression test of intact rock. SKB report P06–89. Stockholm, Sweeden. Jacobsson L (2007) Forsmark site investigation Borehole KFM01C Uniaxial compression test of intact rock. SKB report P06–89. Stockholm, Sweeden.
go back to reference Jacobsson L, Sandström J, Flansbjer M, Sjögren T, Brander L (2016) ONKALO POSE experiment—laboratory determination of density, porosity and mechanical anisotropy of gneiss and granite. Posiva Oy Working Report 2016–31. Finland. http://www.posiva.fi/en/databank. Accessed 20 Mar 2020 Jacobsson L, Sandström J, Flansbjer M, Sjögren T, Brander L (2016) ONKALO POSE experiment—laboratory determination of density, porosity and mechanical anisotropy of gneiss and granite. Posiva Oy Working Report 2016–31. Finland. http://​www.​posiva.​fi/​en/​databank. Accessed 20 Mar 2020
go back to reference Korinets A, Alehossein H (2002) On the initial non-linearity of compressive stress–strain curves for intact rock. Rock Mech Rock Eng 35:319–328CrossRef Korinets A, Alehossein H (2002) On the initial non-linearity of compressive stress–strain curves for intact rock. Rock Mech Rock Eng 35:319–328CrossRef
go back to reference L’homme TP, De Pater CJ, Helfferich PH (2002) Experimental Study of Hydraulic Fracture Initiation in Colton Sandstone. In: Proceedings of the SPE/ISRM Rock Mechanics in Petroleum Engineering Conference, pp. 266–277. L’homme TP, De Pater CJ, Helfferich PH (2002) Experimental Study of Hydraulic Fracture Initiation in Colton Sandstone. In: Proceedings of the SPE/ISRM Rock Mechanics in Petroleum Engineering Conference, pp. 266–277.
go back to reference Małkowski P, Ostrowski Ł, Brodny J (2018) Analysis of Young’s modulus for Carboniferous sedimentary rocks and its relationship with uniaxial compressive strength using different methods of modulus determination. J Sustain Min 17:145–157CrossRef Małkowski P, Ostrowski Ł, Brodny J (2018) Analysis of Young’s modulus for Carboniferous sedimentary rocks and its relationship with uniaxial compressive strength using different methods of modulus determination. J Sustain Min 17:145–157CrossRef
go back to reference Martin CD (1993) The Strength of massive Lac du Bonnet Granite around underground openings. Ph.D. Dissertation. University of Manitoba Martin CD (1993) The Strength of massive Lac du Bonnet Granite around underground openings. Ph.D. Dissertation. University of Manitoba
go back to reference Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. Int J Rock Mech Min Sci Geomech Abstr 31:643–659CrossRef Martin CD, Chandler NA (1994) The progressive fracture of Lac du Bonnet granite. Int J Rock Mech Min Sci Geomech Abstr 31:643–659CrossRef
go back to reference Medhurst TP (1996) Estimation of the in-situ strength and deformability of coal for engineering design. Ph.D. Thesis. University of Queensland, Australia Medhurst TP (1996) Estimation of the in-situ strength and deformability of coal for engineering design. Ph.D. Thesis. University of Queensland, Australia
go back to reference Munoz H, Taheri A, Chanda EK (2016) Pre-peak and post-peak rock strain characteristics during uniaxial compression by 3D digital image correlation. Rock Mech Rock Eng 49:2541–2554CrossRef Munoz H, Taheri A, Chanda EK (2016) Pre-peak and post-peak rock strain characteristics during uniaxial compression by 3D digital image correlation. Rock Mech Rock Eng 49:2541–2554CrossRef
go back to reference Muñoz-Ibáñez A, Delgado-Martín J, Juncosa-Rivera R, Romera-Rodríguez L, Alejano LR, Canal-Vila J, González-Molano N, Alvarellos J, López-Puiggene E, Lakshmikantha MR (2019) Development of a true triaxial device for hydraulic fracturing experiments. ISRM 2019. In: 14th International Congress on rock mechanics and rock engineering. Foz de Iguacu, Brasil. Pages: 1195–1202. CRC Press. Muñoz-Ibáñez A, Delgado-Martín J, Juncosa-Rivera R, Romera-Rodríguez L, Alejano LR, Canal-Vila J, González-Molano N, Alvarellos J, López-Puiggene E, Lakshmikantha MR (2019) Development of a true triaxial device for hydraulic fracturing experiments. ISRM 2019. In: 14th International Congress on rock mechanics and rock engineering. Foz de Iguacu, Brasil. Pages: 1195–1202. CRC Press.
go back to reference Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. Rock Mech Rock Eng 45:607–617CrossRef Nicksiar M, Martin CD (2012) Evaluation of methods for determining crack initiation in compression tests on low-porosity rocks. Rock Mech Rock Eng 45:607–617CrossRef
go back to reference Nicksiar M, Martin CD (2013) Crack initiation stress in low-porosity crystalline and sedimentary rocks. Eng Geol 154:64–76CrossRef Nicksiar M, Martin CD (2013) Crack initiation stress in low-porosity crystalline and sedimentary rocks. Eng Geol 154:64–76CrossRef
go back to reference Price AM, Farmer IW (1981) The Hvorslev surface in rock deformation. Int J Rock Mech Min Sci 18:229–234CrossRef Price AM, Farmer IW (1981) The Hvorslev surface in rock deformation. Int J Rock Mech Min Sci 18:229–234CrossRef
go back to reference Quiñones J, Arzúa J, Alejano LR, García-Bastante F, Mas Ivars D, Walton G (2017) Analysis of size effects on the geomechanical parameters of intact granite samples under unconfined conditions. Acta Geotech 12:1229–1242CrossRef Quiñones J, Arzúa J, Alejano LR, García-Bastante F, Mas Ivars D, Walton G (2017) Analysis of size effects on the geomechanical parameters of intact granite samples under unconfined conditions. Acta Geotech 12:1229–1242CrossRef
go back to reference Sharma H, Mishra S, Rao KS, Gupta NK (2018) Effect of cover depth on deformation in tunnel lining when subjected to impact load. In: ISRM International Symposium—10th Asian Rock Mechanics Symposium, ARMS 2018. Sharma H, Mishra S, Rao KS, Gupta NK (2018) Effect of cover depth on deformation in tunnel lining when subjected to impact load. In: ISRM International Symposium—10th Asian Rock Mechanics Symposium, ARMS 2018.
go back to reference Shirole D, Walton G, Hedayat A (2020) Experimental investigation of multi-scale strain-field heterogeneity in rocks. Int J Rock Mech Min Sci 127:104212CrossRef Shirole D, Walton G, Hedayat A (2020) Experimental investigation of multi-scale strain-field heterogeneity in rocks. Int J Rock Mech Min Sci 127:104212CrossRef
go back to reference Sinha S, Walton G (2020) A study on Bonded Block Model (BBM) complexity for simulation of laboratory-scale stress–strain behavior in granitic rocks. Comput Geotech 118:103363CrossRef Sinha S, Walton G (2020) A study on Bonded Block Model (BBM) complexity for simulation of laboratory-scale stress–strain behavior in granitic rocks. Comput Geotech 118:103363CrossRef
go back to reference Sinha S, Walton G, Kim BH (2020) Difficulties in determining the Crack Initiation (CI) thresholds for three different rock types. In: Proceedings of the 2020 American Rock Mechanics Symposium Sinha S, Walton G, Kim BH (2020) Difficulties in determining the Crack Initiation (CI) thresholds for three different rock types. In: Proceedings of the 2020 American Rock Mechanics Symposium
go back to reference Taheri A, Tani K (2008) Use of down-hole triaxial apparatus to estimate the mechanical properties of heterogeneous mudstone. Int J Rock Mech Min Sci 45:1390–1402CrossRef Taheri A, Tani K (2008) Use of down-hole triaxial apparatus to estimate the mechanical properties of heterogeneous mudstone. Int J Rock Mech Min Sci 45:1390–1402CrossRef
go back to reference Valli J, Hakala M (2016) ONKALO POSE experiment—analysis of rock mechanics test data. Posiva OY Working Report 2016-49. October 2016 Valli J, Hakala M (2016) ONKALO POSE experiment—analysis of rock mechanics test data. Posiva OY Working Report 2016-49. October 2016
go back to reference Walton G, Arzúa J, Alejano LR, Diederichs MS (2015) A laboratory-testing-based study on the strength, deformability, and dilatancy of carbonate rocks at low confinement. Rock Mech and Rock Eng 48:941–958CrossRef Walton G, Arzúa J, Alejano LR, Diederichs MS (2015) A laboratory-testing-based study on the strength, deformability, and dilatancy of carbonate rocks at low confinement. Rock Mech and Rock Eng 48:941–958CrossRef
go back to reference Walton G, Alejano LR, Arzúa J, Markley T (2018) Crack damage parameters and dilatancy of artificially jointed granite samples under triaxial compression. Rock Mech & Rock Eng 51:1637–1656CrossRef Walton G, Alejano LR, Arzúa J, Markley T (2018) Crack damage parameters and dilatancy of artificially jointed granite samples under triaxial compression. Rock Mech & Rock Eng 51:1637–1656CrossRef
go back to reference Young RP, Nasseri MHB, Sehizadeh M (2020) Mechanical and seismic anisotropy of rocks from the ONKALO underground rock characterization facility. Int J Rock Mech Min Sci 126:104190CrossRef Young RP, Nasseri MHB, Sehizadeh M (2020) Mechanical and seismic anisotropy of rocks from the ONKALO underground rock characterization facility. Int J Rock Mech Min Sci 126:104190CrossRef
Metadata
Title
A Method to Correct Indirect Strain Measurements in Laboratory Uniaxial and Triaxial Compressive Strength Tests
Authors
L. R. Alejano
X. Estévez-Ventosa
M. A. González-Fernández
G. Walton
I. G. West
N. A. González-Molano
J. Alvarellos
Publication date
24-03-2021
Publisher
Springer Vienna
Published in
Rock Mechanics and Rock Engineering / Issue 6/2021
Print ISSN: 0723-2632
Electronic ISSN: 1434-453X
DOI
https://doi.org/10.1007/s00603-021-02392-4

Other articles of this Issue 6/2021

Rock Mechanics and Rock Engineering 6/2021 Go to the issue