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Geotechnical and Geological Engineering
Published in: Geotechnical and Geological Engineering 1/2013

01-02-2013 | Original paper

Multivariate Adaptive Regression Spline (Mars) for Prediction of Elastic Modulus of Jointed Rock Mass

Author: Pijush Samui

Published in: Geotechnical and Geological Engineering | Issue 1/2013

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Abstract

This article presents multivariate adaptive regression spline (MARS) for determination of elastic modulus (Ej) of jointed rock mass. MARS is a technique to estimate general functions of high-dimensional arguments given sparse data. It is a nonlinear and non-parametric regression methodology. The input variables of model are joint frequency (Jn), joint inclination parameter (n), joint roughness parameter (r), confining pressure (σ3) and elastic modulus (Ei) of intact rock. The developed MARS gives an equation for determination of Ej of jointed rock mass. The results from the developed MARS model have been compared with those of artificial neural networks (ANNs) using average absolute error. The developed MARS gives a robust model for determination of Ej of jointed rock mass.
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Literature
Arora VK (1987) Strength and deformation behavior of jointed rocks. Ph.D. thesis, Indian Institute of Technology, Delhi
Attoh-Okine NO, Mensah S, Nawaiseh M (2003) A new technique for using multivariate adaptive regression splines (MARS) in pavement roughness prediction. Proc ICE Trans 156(1):51–55CrossRef
Attoh-Okine NO, Cooger K, Mensah S (2009) Multivariate adaptive regression (MARS) and hinged hyperplanes (HHP) for doweled pavement performance modeling. Constr Build Mater 23(9):3020–3023CrossRef
Barton N (2002) Some new Q value correlate to assist in site characterisation and tunnel design. Int J Rock Mech Min Sci 39:185–216CrossRef
Brown ET, Trollope DH (1970) Strength of models of jointed rock. J Soil Mech Found Div ASCE 96(SM2):685–704
Craven P, Wahba G (1979) Smoothing noisy data with spline functions: estimating the correct degree of smoothing by the method of generalized cross-validation. Numer Math 31:317–403
Friedman JH (1991) Multivariate adaptive regression splines. Ann Stat 19:1–141CrossRef
Galera JM, Álvarez M, Bieniawski ZT (2006) Evaluation of the deformation modulus of rock masses using RMR. Comparison with dilatometer tests. In ISRM Eurock 2006
Hoek E, Diederichs MS (2006) Empirical estimation of rock mass modulus. Int J Rock Mech Min Sci 43:203–215CrossRef
Lall U, Sangoyomi T, Abarbanel HDI (1996) Nonlinear dynamics of the Great Salt Lake: nonparametric short term forecasting. Water Resour Res 32:975–985CrossRef
Leathwick JR, Rowe D, Richardson J, Elith J, Hastie T (2005) Using multivariate adaptive regression splines to predict the distributions of New Zealand’s freshwater diadromous fish. Freshw Biol 50:2034–2051CrossRef
Lee TS, Chen IF (2005) A two-stage hybrid credit scoring model using artificial neural networks and multivariate adaptive regression splines. Expert Syst Appl 28:743–752CrossRef
Maji VB, Sitharam TG (2008) Prediction of elastic modulus of jointed rock mass using artificial neural networks. Geotech Geol Eng 26:443–452CrossRef
Moon HK, Na SM, Lee CW (1995) Artificial neural-network integrated with expert-system for preliminary design of tunnels and slopes. In: Fujii T (ed) Proceedings of 8th international congress on rock mechanics. Balkema, Rotterdam, pp 901–905
Roy N (1993) Engineering behavior of rock masses through study of jointed models. Ph.D. thesis, Indian Institute of Technology, Delhi
Shi JJ (2000) Reducing prediction error by transforming input data for neural networks. J Comput Civil Eng 14(2):109–116CrossRef
Shi J, Ortigao JAR, Bai J (1998) Modular neural networks for predicting settlement during tunnelling. J Geotech Geoenviron Eng 124(5):389–395CrossRef
Yaji RK (1984) Shear strength and deformation of jointed rocks. Ph.D. thesis. Indian Institute of Technology, New Delhi
Yang Y, Zhang Q (1997) A hierarchical analysis for rock engineering using artificial neural networks. Rock Mech Rock Eng 30(4):207–222CrossRef
Yoo C, Kim JM (2007) Tunneling performance prediction using an integrated GIS and neural network. Comput Geotech 34:19–30CrossRef
Zhang L, Einstein HH (2004) Using RQD to estimate the deformation modulus of rock masses. Int J Rock Mech Min Sci 41:337–341CrossRef
Metadata
Title
Multivariate Adaptive Regression Spline (Mars) for Prediction of Elastic Modulus of Jointed Rock Mass
Author
Pijush Samui
Publication date
01-02-2013
Publisher
Springer Netherlands
Published in
Geotechnical and Geological Engineering / Issue 1/2013
Print ISSN: 0960-3182
Electronic ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-012-9584-4

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