Skip to main content
Log in

A generalized VS–N correlation using various regression analysis and genetic algorithm

  • Original Study
  • Published:
Acta Geodaetica et Geophysica Aims and scope Submit manuscript

Abstract

Shear wave velocity (VS) is an important parameter from geotechnical earthquake engineering perspective. In the absence of the direct measurement of VS, VS–N correlation serves an alternative for evaluating the shear wave velocity (VS) from standard penetration resistance value (SPT-N) at a particular region. In the present study, an attempt has been made to propose generalized VS–N correlation from the globally available correlations for all soil and specific soil type using various regression procedures and genetic algorithm (GA). Various regression procedures along with GA have been used to assess the sensitivity of generalized VS–N correlations in connection with regression methodology. 1D ground response analysis has been carried out at two bore-hole locations in Kolkata city using the VS obtained from generated correlations and site specific response spectra have been generated at those two locations. Finally, performance of some typical buildings have been studied by nonlinear static analysis procedure using those site specific response spectra developed for proposed VS–N relationships for all type of soil and specific type of soil. The performance of the considered typical buildings has been represented in terms of base shear and roof displacement. Chi square (\( \chi^{2} \)) test has also been conducted to check the confidence level of base shear and roof displacement obtained by using various developed VS–N relationships varies with the results obtained using available site specific relationships proposed by Nath (2016), and it reveals that VS–N relationships developed by GA perform better than the VS–N relationships developed by other regression method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13

Similar content being viewed by others

References

  • Anbazhagan P, Sitharam TG (2006) Evaluation of dynamic properties and ground profiles using MASW: correlation between Vs and N60. In: 13th symposium on earthquake engineering, proceedings international conference, Indian Institute of Technology, Roorkee

  • Anbazhagan P, Parihar A, Rashmi HN (2012) Review of correlations between SPT-N and shear modulus: a new correlation applicable to any region. Soil Dyn Earthq Eng 36:52–69

    Article  Google Scholar 

  • ATC 40 (1996) Seismic evaluation and retrofit of concrete buildings. Applied Technology Council, Redwood City

    Google Scholar 

  • Athanasopoulos GA (1995) Empirical correlations Vso-NSPT for soils of Greece: a comparative study of reliability. In: Proceedings of 7th international conference on soil dynamics and earthquake engineering. Computation Mechanics Publications, Southampton, Bosto, pp 19–25

  • Chatterjee K, Choudhury D (2013) Variations in shear wave velocity and soil site class in Kolkata City using regression and sensitivity analysis. Nat Hazards 69(3):2057–2082. https://doi.org/10.1007/s11069-013-0795-7

    Article  Google Scholar 

  • Chatterjee K, Choudhury D (2016) Influences of local soil conditions for ground response in Kolkata city during earthquakes. In: Proceedings of the national academy of sciences, India section A: physical sciences. Springer, pp 1–14

  • Das NG (2008) Statistical methods. Tata McGraw-Hill Education, Kolkata

    Google Scholar 

  • Deming WE (1985) Statistical adjustment of data. Edited by NY Wiley. Dover Publications

  • Dikmen U (2009) Statistical correlations of shear wave velocity and penetration resistance for soils. J Geophys Eng 6:61–72

    Article  Google Scholar 

  • Dikmen Ü (2010) Reply to comment on ‘Statistical correlations of shear wave velocity and penetration resistance for soils’. J Geophys Eng. https://doi.org/10.1088/1742-2132/7/1/N02

    Article  Google Scholar 

  • Ferreira C (2006) Gene expression programming: mathematical modeling by an artificial intelligence. Springer, Berlin

    Google Scholar 

  • Fujiwara T (1972) Estimation of ground movements in actual destructive earthquakes. In: Proceedings of the 4th european symphosium of earthquake engineering, London, pp 125–132

  • Fumal TE, Tinsley JC (1985) Mapping shear wave velocities of near-surface geological materials. In: Ziony JI (ed) Predicting areal limits of earthquake induced landsliding; In evaluation of earthquake hazards in the Los Angeles region — an earth science perspective, US Geological Survey paper 1360, pp 127–150

  • Haldar A, Mahadevan S (2000) Probability, reliability, and statistical methods in engineering design. Wiley, New York

    Google Scholar 

  • Hanumantharao C, Ramana GV (2008) Dynamic soil properties for microzonation of Delhi, India. J Earth Syst Sci 117(2):719–730. https://doi.org/10.1007/s12040-008-0066-2

    Article  Google Scholar 

  • Hasancebi N, Ulusay R (2007) Empirical correlations between shear wave velocity and penetration resistance for ground shaking assessments. Bull Eng Geol Environ 66(2):203–213. https://doi.org/10.1007/s10064-006-0063-0

    Article  Google Scholar 

  • Imai T (1977) P- and S-wave velocities of the ground in Japan. In: Proceedings of the IX international conference on soil mechanics and foundation engineering, pp 127–132

  • Imai T, Tonouchi K (1982) Correlation of N value with S wave velocity and shear modulus. In: Proceedings of the 2nd european symposium of penetration testing, Amsterdam, pp 57–72

  • Imai T, Yoshimura Y (1970) Elastic wave velocity and soil properties in soft soil. Tsuchito-Kiso 18(1):17–22 (in Japanese)

    Google Scholar 

  • Imai T, Yoshimura Y (1975) The relation of mechanical properties of soils to P and S-wave velocities for ground in Japan, Technical Note, OYO Corporation

  • Imai T, Fumoto H, Yokota K (1975) The relation of mechanical properties of soils to P-and S-wave velocities in Japan. In: Proceedings of the fourth Japanese earthquake engineering symposium, pp 86–96

  • Iyisan R (1996) Correlations between shear wave velocity and in situ penetration test results. Chamb Civil Eng Turk Teknik Dergi 7(2):1187–1199 (In Turkey)

    Google Scholar 

  • Jafari MK, Asghari A, Rahmani I (1997) Empirical correlation between shear wave velocity (Vs) and SPT-N value for south Tehran soils. In: Proceedings of the 4th international conference on civil engineering, Tehran, Iran

  • Jafari MK, Shafiee A, Razmkhah A (2002) Dynamic properties of fine grained soils in south of Tehra. Soil Dyn Earthq Eng 4:25–35

    Google Scholar 

  • Jinan Z (1987) Correlation between seismic wave velocity and the number of blow of SPT and Depth. Selected papers from the Chinese Journal of Geotechnical Engineering. American Society for Civil Engineers, pp 92–100

  • JRA (Japan Road Association) (1980) Manual for design and construction of asphalt pavement

  • Kalteziotis N, Sabatakakis N, Vassiliou J (1992) Evaluation of dynamic characteristics of Greek soil formations evaluation of dynamic characteristics of Greek soil formations. In: Proceedings of 2nd Hellenic conference on geotechnical engineering, Greek, pp 239–246

  • Kanai K (1966) Conference on cone penetrometer. The ministry of public works and settlement, Ankara, Turkey, presented by Y Sakai 1968

  • Kiku H, Yoshida N, Yasuda S, Irisawa T, Nakazawa H, Shimizu Y, Ansal A, Erkan A (2001) In situ penetration tests and soil profiling in Adapazari, Turkey. In: Proceedings of the ICSMGE/TC4 satellite conference on lessons learned from recent strong earthquakes, pp 259–265

  • Lee SH (1990) Regression models of shear wave velocities in Taipei basin. J Chin Inst Eng 13:519–532. https://doi.org/10.1080/02533839.1990.9677284

    Article  Google Scholar 

  • Lee CT, Tsai BR (2008) Mapping Vs30 in Taiwan. Terr Atmos Ocean Sci 19(6):671–682

    Article  Google Scholar 

  • Maheswari RU, Boominathan A, Dodagoudar GR (2010) Use of surface waves in statistical correlations of shear wave velocity and penetration resistance of Chennai soils. Geotech Geol Eng 28(2):119–137. https://doi.org/10.1007/s10706-009-9285-9

    Article  Google Scholar 

  • Mhaske SY, Choudhury D (2010) GIS-based soil liquefaction susceptibility map of Mumbai City for earthquake events. J Appl Geophys 70(3):216–225. https://doi.org/10.1016/j.jappgeo.2010.01.001

    Article  Google Scholar 

  • Mhaske SY, Choudhury D (2011) GIS-GPS based map of soil index properties for Mumbai. In: Geo-frontiers 2011: advances in geotechnical engineering, geotechnical special publication no. 211, pp 2366–2375

  • Mukherjee S, Gupta VK (2002) Wavelet-based generation of spectrum-compatible time-histories. Soil Dyn Earthq Eng 22:799–804

    Article  Google Scholar 

  • Nath SK (2016) Risk microzonation atlas of Kolkata seismic hazard, vulnerability and risk atlas. Geoscience Division, Ministry of Earth Sciences, Government of India, New Delhi

  • Ohba S, Torandiuma I (1970) Research on vibrational characteristics of soil deposition in Osaka, part 2, on velocities of wave propagation and predominant periods of soil deposits. In: Abstracts of technical meeting of Architectural Institute of Japan

  • Ohsaki Y, Iwasaki R (1973) On dynamic shear moduli and Poisson’s ratios of soil deposits. Soils Found. https://doi.org/10.3208/sandf1972.13.4_61

    Article  Google Scholar 

  • Ohta Y, Goto N (1978) Empirical shear wave velocity equations in terms of characteristics soil indexes. Earthq Eng Struct Dyn 6:167–187

    Article  Google Scholar 

  • Ohta T, Hara A, Niwa M, Sakano T (1972) Elastic shear moduli as estimated from N-value. In: Proceedings 7th annual convention of Japan society of soil mechanics and foundation engineering, pp 265–268

  • Okamoto T, Kokusho T, Yoshida Y, Kusuonoki K (1989) Comparison of surface versus subsurface wave source for P–S logging in sand layer. In: Proceeding 44th Annual Conference JSCE, vol 3, pp 996–997 (in Japanese)

  • Pitilakis KD, Anastasiadis A, Raptakis D (1992) Field and laboratory determination of dynamic properties of natural soil deposits. In: Proceedings of the 10th world conference on earthquake engineering, Rotherdam, pp 1275–1280

  • Pitilakis K, Raptakis D, Lontzetidis K, Vassilikou T, Jongmans D (1999) Geotechnical and geophysical description of Euro-Seistests, using field and laboratory tests and moderate strong ground motions. J Earthq Eng 3(3):381–409

    Google Scholar 

  • Raptakis DG, Anastasiadis SAJ, Pitilakis KD, Lontzetidis KS (1995) Shear wave velocities and damping of Greek natural soils. In: Proceeding of 10th European Conference Earthquake Engineering, Vienna, pp 477–482

  • Roy Narayan, Sahu RB (2012) Site specific ground motion simulation and seismic response analysis for microzonation of Kolkata. Geomech Eng 4(1):1–18. https://doi.org/10.12989/gae.2012.4.1.001

    Article  Google Scholar 

  • SAP 2000 (2011) CSI analysis reference manual, Computers & Structures, Inc.

  • Seed HB, Idriss IM (1981) Evaluation of liquefaction potential sand deposits based on observation of performance in previous earthquakes. In: American Society for Civil Engineers National Convention, Missouri, pp 81–544

  • Seed HB, Idriss IM, Arangol I (1983) Evaluation of liquefaction potential using field performance data. J Geotech Eng ASCE 109(3):396–405

    Article  Google Scholar 

  • Seismosignal Version 4.3.0. (2010) www.seismosoft.com

  • Shibata T (1970) The relationship between the N-value and S-Wave velocity in the soil layer (as translated by Y. Yamamoto). Disaster Prevention Research Laboratory, Kyoto University Kycto, Japan (in Japanese)

  • Shiuly Amit, Sahu RB, Mandal S (2017) Site specific seismic hazard analysis and determination of response spectra of Kolkata for maximum considered earthquake. J Geophys Eng 14(3):466–477

    Article  Google Scholar 

  • Sisman H (1995) The relation between seismic wave velocities and SPT. Pressuremeter tests. M.Sc. thesis, Ankara University, Geophysical Engineering Department, Ankara, p 75 (in Turkish)

  • Sitharam TG, Anbazhagan P (2008) Site characterization using geotechnical and geophysical techniques for seismic microzonation of urban areas. In: Proceedings of international geotechnical conference on development of urban areas and geotechnical engineering, Saint Petersburg, Russia, pp 131–147

  • Sykora DE, Stokoe KH (1983) Correlations of in-situ measurements in sands of shear wave velocity. Soil Dyn Earthq Eng 20(1):125–136

    Google Scholar 

  • Tsiambaos G, Sabatakakis N (2011) Empirical estimation of shear wave velocity from in situ tests on soil formations in Greece. Bull Eng Geol Environ 70:291–297

    Article  Google Scholar 

  • Yokota K, Imai T, Konno M (1991) Dynamic deformation characteristics of soils determined by laboratory tests. OYO Tee Reply 3:13

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Amit Shiuly.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shiuly, A., Roy, N. A generalized VS–N correlation using various regression analysis and genetic algorithm. Acta Geod Geophys 53, 479–502 (2018). https://doi.org/10.1007/s40328-018-0220-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s40328-018-0220-5

Keywords

Navigation