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

10-04-2021 | Original Paper

Lithological Control on the Estimation of Uniaxial Compressive Strength by the P-Wave Velocity Using Supervised and Unsupervised Learning

Authors: Tabish Rahman, Kripamoy Sarkar

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

Uniaxial compressive strength (UCS) is the most fundamental physico–mechanical parameter used for any rock mass classification in geotechnical and geological engineering. However, determining UCS is a very tough, expensive, time consuming and destructive method and requires experienced workers. On the other hand, P-wave velocity (VP) determination is cheap, precise, non-destructive and easy. There are many established relationships between UCS and VP but mostly are low in range or proposed for multiple rock types of different origin. In this paper, the correlation of UCS with VP has been assessed based on the rocks' lithology. The methodology used in this analysis was centred on the previous studies database, lithology-based data disintegration and data integration to establish lithology based simple regression (SR) equations. A total of 37 previous studies databases were processed, and 12 characteristic regression equations have been determined based on the lithology. The lithological control was also determined using the principal component analysis (PCA), which categorised the data into diverse rock types. Artificial neural network (ANN) has been used as a robust predictive tool to estimate the UCS using the VP and rock type information.

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 ASTM (American Society of Testing and Materials) (2000) Standard Test Method for Unconfined Strength of Intact Rock Core Specimens. ASTM Standard D2938-95. West Conshohocken, PA ASTM (American Society of Testing and Materials) (2000) Standard Test Method for Unconfined Strength of Intact Rock Core Specimens. ASTM Standard D2938-95. West Conshohocken, PA
go back to reference ASTM (American Society of Testing and Materials) (2002) Standard test method for laboratory determination of pulse velocities and ultrasonic elastic constants of rock: ASTM Standard D2845–83. ASTM, West Conshohocken ASTM (American Society of Testing and Materials) (2002) Standard test method for laboratory determination of pulse velocities and ultrasonic elastic constants of rock: ASTM Standard D2845–83. ASTM, West Conshohocken
go back to reference Azimian A, Ajalloeian R, Fatehi L (2013) An empirical correlation of uniaxial compressive strength with P-wave velocity and point load strength index on marly rocks using statistical method. Geotech and Geol Eng 32:205–214CrossRef Azimian A, Ajalloeian R, Fatehi L (2013) An empirical correlation of uniaxial compressive strength with P-wave velocity and point load strength index on marly rocks using statistical method. Geotech and Geol Eng 32:205–214CrossRef
go back to reference Babacan AE, Ersoy H, Gelisli K (2012) Determination of physical, mechanical and elastic properties of the rocks with ultrasonic velocity technique and time-frequency analysis: a case study on the beige limestones (NE Turkey). Jeoloji Muhendisligi Dergisi 36(1):63–73 Babacan AE, Ersoy H, Gelisli K (2012) Determination of physical, mechanical and elastic properties of the rocks with ultrasonic velocity technique and time-frequency analysis: a case study on the beige limestones (NE Turkey). Jeoloji Muhendisligi Dergisi 36(1):63–73
go back to reference Beiki M, Majdi A, Givshad AD (2013) Application of genetic programming to predict the uniaxial compressive strength and elastic modulus of carbonate rocks. Int J Rock Mech Min Sci 63:159–169CrossRef Beiki M, Majdi A, Givshad AD (2013) Application of genetic programming to predict the uniaxial compressive strength and elastic modulus of carbonate rocks. Int J Rock Mech Min Sci 63:159–169CrossRef
go back to reference Bieniawski ZT (1973) Engineering classification of jointed rock masses. Civ Eng S Afr 15:335–344 Bieniawski ZT (1973) Engineering classification of jointed rock masses. Civ Eng S Afr 15:335–344
go back to reference Chary et al. (2006) Evaluation of engineering properties of rock using ultrasonic pulse velocity and uniaxial compressive strength. In: Proceeding of the National Seminar on Non-Destructive Evaluation. Indian Society for Non-Destructive Testing, Hyderabad, pp 379–385 Chary et al. (2006) Evaluation of engineering properties of rock using ultrasonic pulse velocity and uniaxial compressive strength. In: Proceeding of the National Seminar on Non-Destructive Evaluation. Indian Society for Non-Destructive Testing, Hyderabad, pp 379–385
go back to reference Diamantis K, Gartzos E, Migiros G (2009) Study on uniaxial compressive strength, point load strength index, dynamic and physical properties of serpentinites from Central Greece: Test results and empirical relations. Eng Geol 108(2009):199–207CrossRef Diamantis K, Gartzos E, Migiros G (2009) Study on uniaxial compressive strength, point load strength index, dynamic and physical properties of serpentinites from Central Greece: Test results and empirical relations. Eng Geol 108(2009):199–207CrossRef
go back to reference Goh et al (2014) Empirical correlation of uniaxial compressive strength and primary wave velocity of Malaysian granites. Elect J Geotech Eng. 19(E):1063–1072 Goh et al (2014) Empirical correlation of uniaxial compressive strength and primary wave velocity of Malaysian granites. Elect J Geotech Eng. 19(E):1063–1072
go back to reference Goh et al (2015) Correlation of ultrasonic velocity slowness with uniaxial compressive strength of schists in Malaysia. Elect J Geotech Eng 20:12663–12670 Goh et al (2015) Correlation of ultrasonic velocity slowness with uniaxial compressive strength of schists in Malaysia. Elect J Geotech Eng 20:12663–12670
go back to reference ISRM (International Society of Rock Mechanics) (1978) Suggested method for determining sound velocity. Int J Rock Mech Min Sci Geomech Abstr 15(1978):A100 ISRM (International Society of Rock Mechanics) (1978) Suggested method for determining sound velocity. Int J Rock Mech Min Sci Geomech Abstr 15(1978):A100
go back to reference ISRM (International Society of Rock Mechanics) (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. Int J Rock Mech Min Sci Geomech Abstr 16:135–140 ISRM (International Society of Rock Mechanics) (1979) Suggested methods for determining the uniaxial compressive strength and deformability of rock materials. Int J Rock Mech Min Sci Geomech Abstr 16:135–140
go back to reference Jamshidi A, Nikudel MR, Khamehchiyan M, Sahamieh Z (2015) The effect of specimen diameter size on uniaxial compressive strength, P-wave velocity and the correlation between them. Geomech Geoeng: An Int J 11(1):1–7 Jamshidi A, Nikudel MR, Khamehchiyan M, Sahamieh Z (2015) The effect of specimen diameter size on uniaxial compressive strength, P-wave velocity and the correlation between them. Geomech Geoeng: An Int J 11(1):1–7
go back to reference Kahraman S (2001) Evaluation of simple methods for assessing the uniaxial compressive strength of rock. Int J Rock Mech Min Sci 38:981–994CrossRef Kahraman S (2001) Evaluation of simple methods for assessing the uniaxial compressive strength of rock. Int J Rock Mech Min Sci 38:981–994CrossRef
go back to reference Karakuş M, Kumral M, Kılıc O (2005) Predicting elastic properties of intact rocks from index tests using multiple regression modelling. Int J Rock Mech Min Sci 42:323–330CrossRef Karakuş M, Kumral M, Kılıc O (2005) Predicting elastic properties of intact rocks from index tests using multiple regression modelling. Int J Rock Mech Min Sci 42:323–330CrossRef
go back to reference Karaman K, Kesimal A (2015) Correlation of Schmidt rebound hardness with uniaxial compressive strength and P-wave velocity of rock materials. Arab J Sci Eng 40:1897–1906CrossRef Karaman K, Kesimal A (2015) Correlation of Schmidt rebound hardness with uniaxial compressive strength and P-wave velocity of rock materials. Arab J Sci Eng 40:1897–1906CrossRef
go back to reference Kurtulus C, Irmak TS, Sertcelik I (2010) Physical and mechanical properties of Gokceada: Imbros (NE Aegean Sea) Island andesites. Bull Eng Geol Environ 69:321–324CrossRef Kurtulus C, Irmak TS, Sertcelik I (2010) Physical and mechanical properties of Gokceada: Imbros (NE Aegean Sea) Island andesites. Bull Eng Geol Environ 69:321–324CrossRef
go back to reference Kurtulus C, Bozkurt A, Endes H (2012) Physical and mechanical properties of serpentinised ultrabasic rocks in NW Turkey. Pure Appl Geophys 169:1205–1215CrossRef Kurtulus C, Bozkurt A, Endes H (2012) Physical and mechanical properties of serpentinised ultrabasic rocks in NW Turkey. Pure Appl Geophys 169:1205–1215CrossRef
go back to reference Kurtulus C, Cakir S, Yogurtcuoglu AC (2016) Ultrasound study of limestone rock physical and mechanical properties. Soil Mech Found Eng 52(6):348–354CrossRef Kurtulus C, Cakir S, Yogurtcuoglu AC (2016) Ultrasound study of limestone rock physical and mechanical properties. Soil Mech Found Eng 52(6):348–354CrossRef
go back to reference Mahmoudi et al (2020) Principal component analysis to study the relations between the spread rates of COVID-19 in high risks countries. Alex Eng J 60:457–464CrossRef Mahmoudi et al (2020) Principal component analysis to study the relations between the spread rates of COVID-19 in high risks countries. Alex Eng J 60:457–464CrossRef
go back to reference Mishra D, Basu A (2013) Estimation of uniaxial compressive strength of rock materials by index tests using regression analysis and fuzzy inference system. Eng Geol 160:54–68CrossRef Mishra D, Basu A (2013) Estimation of uniaxial compressive strength of rock materials by index tests using regression analysis and fuzzy inference system. Eng Geol 160:54–68CrossRef
go back to reference Moradian OZ, Behnia M (2009) Predicting the unconfined compressive strength and static young’s modulus of intact sedimentary rocks using the ultrasonic tests. Int J Geomech 9:1–14CrossRef Moradian OZ, Behnia M (2009) Predicting the unconfined compressive strength and static young’s modulus of intact sedimentary rocks using the ultrasonic tests. Int J Geomech 9:1–14CrossRef
go back to reference Nespereira J, Navarro R, Monterrubio S, Yenes M, Pereira D (2019) Sustainability serpentinite from moeche (Galicia, North Western Spain). A stone used for centuries in the construction of the architectural heritage of the region. Sustainability 11:2700CrossRef Nespereira J, Navarro R, Monterrubio S, Yenes M, Pereira D (2019) Sustainability serpentinite from moeche (Galicia, North Western Spain). A stone used for centuries in the construction of the architectural heritage of the region. Sustainability 11:2700CrossRef
go back to reference Romana M (1985) New adjustment ratings for application of Bieniawski classification to slopes; In: Proceedings of International Symposium on Role of Rock Mech, ISRM, Zacatecas, Mexico. pp 49–53 Romana M (1985) New adjustment ratings for application of Bieniawski classification to slopes; In: Proceedings of International Symposium on Role of Rock Mech, ISRM, Zacatecas, Mexico. pp 49–53
go back to reference Sarkar K, Tiwary A, Singh TN (2010) Estimation of strength parameters of rock using artificial neural networks. Bull Eng Geol Environ 69:599–606CrossRef Sarkar K, Tiwary A, Singh TN (2010) Estimation of strength parameters of rock using artificial neural networks. Bull Eng Geol Environ 69:599–606CrossRef
go back to reference Sarkar K, Vishal V, Singh TN (2012) An empirical correlation of index geomechanical parameters with the compressional wave velocity. Geotech Geol Eng 30:469–479CrossRef Sarkar K, Vishal V, Singh TN (2012) An empirical correlation of index geomechanical parameters with the compressional wave velocity. Geotech Geol Eng 30:469–479CrossRef
go back to reference Selçuk L, Nar A (2016) Prediction of uniaxial compressive strength of intact rocks using ultrasonic pulse velocity and rebound-hammer number. Q J Eng Geol Hydrogeol 49(1):67–75CrossRef Selçuk L, Nar A (2016) Prediction of uniaxial compressive strength of intact rocks using ultrasonic pulse velocity and rebound-hammer number. Q J Eng Geol Hydrogeol 49(1):67–75CrossRef
go back to reference Sharma LK, Vishal V, Singh TN (2017) Developing novel models using neural networks and fuzzy systems for the prediction of strength of rocks from key geomechanical properties. Measurement 102:158–169CrossRef Sharma LK, Vishal V, Singh TN (2017) Developing novel models using neural networks and fuzzy systems for the prediction of strength of rocks from key geomechanical properties. Measurement 102:158–169CrossRef
go back to reference Torok A, Vasarhelyi B (2010) The influence of fabric and water content on selected rock mechanical parameters of travertine, examples from Hungary. Eng Geol 115:237–245CrossRef Torok A, Vasarhelyi B (2010) The influence of fabric and water content on selected rock mechanical parameters of travertine, examples from Hungary. Eng Geol 115:237–245CrossRef
go back to reference Vasconcelos G, Lourenco PB, Alves CSA, Pamplona J (2007) Prediction of the mechanical properties of granites by ultrasonic pulse velocity and Schmidt hammer hardness. In: North American Masonry Conference, Missouri, 3–5 June, The Masonry Society, CO, pp 980–991 Vasconcelos G, Lourenco PB, Alves CSA, Pamplona J (2007) Prediction of the mechanical properties of granites by ultrasonic pulse velocity and Schmidt hammer hardness. In: North American Masonry Conference, Missouri, 3–5 June, The Masonry Society, CO, pp 980–991
go back to reference Yagiz S (2011) P-wave velocity test for assessment of geotechnical properties of some rock materials. Bull Mater Sci 34(4):947–953CrossRef Yagiz S (2011) P-wave velocity test for assessment of geotechnical properties of some rock materials. Bull Mater Sci 34(4):947–953CrossRef
Metadata
Title
Lithological Control on the Estimation of Uniaxial Compressive Strength by the P-Wave Velocity Using Supervised and Unsupervised Learning
Authors
Tabish Rahman
Kripamoy Sarkar
Publication date
10-04-2021
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/s00603-021-02445-8

Other articles of this Issue 6/2021

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