# Rockfill Strength Evaluation Using Cascade Correlation Networks

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## Abstract

Performing comprehensive laboratory test programs to estimate rockfill strength for rockfill dam projects is a lengthy and onerous task because of the large sample-size. Accordingly, it has become a common practice to carry out limited experimental investigation, and extrapolate the results to the expected conditions in actual embankments. A number of investigators have established a function of the type τ = ασ^{β}, where τ and σ are the shear and normal stresses, respectively, and the constants α and β, which result from a fitting procedure, have no physical meaning. Results of laboratory tests on a variety of rockfills have shown that in addition to effective confining stresses the relative density, uniformity coefficient, maximum particle size and particle-breaking load influence rockfill strength. Thus these parameters must be included in any function for computing rockfill strength. Other parameters, whose influence is understood partially, are not included here. Given the non linear-multidimensional nature of the problem, in this paper a neuronal procedure is developed. This approach takes into account the influence of each of the parameters mentioned before. The network used in this article was defined after comparing the results obtained with a variety of algorithms. After several attempts, the Cascade Correlation Network (CCN) was found to yield most accurate strength predictions.

## Keywords

Cascade correlation algorithm Coarse granular materials behavior Fuzzy clustering Neural networks Rockfill strength## Notes

### Acknowledgments

The authors are grateful to CONACyT for the support provided throughout the grant 33032 LI. Also they acknowledge the skillful editing by Eng. Mercedes Ortega, Arturo Paz and Roberto Soto.

## References

- Alberro J, Gaziev E (2000) Resistencia y compresibilidad de los enrocamientos. Internal Report. Institute of Engineering, UNAM. MéxicoGoogle Scholar
- Barton N, Kjaernski B (1981) Shear strength of rockfill. J Geotech Eng Div Am Soc Civ Engrs 107(GT7):873–891Google Scholar
- Breiman L, Friedman J, Olshen R, Stone C (1995) Classification and regression tree1s, Wadsworth International Group, Belmont CA (1986), cited in Gallant SI, Neural network learning and expert systems, The MIT Press, Third printingGoogle Scholar
- Charles JA, Watts KS (1980) The influence of confining pressure on the shear strength of compacted rockfill. Géotechnique 30(4):353–367Google Scholar
- De Mello VFB (1977) Reflexions on design decisions of practical significance to embankment dams. Géotechnique 27(3):279–355Google Scholar
- Fahlman SE (1988) An empirical study of learning speed in back-propagation networks. CMU Technical Report CMU-CS–88-162Google Scholar
- Fahlman SE, Lebière C (1991) The cascade-correlation learning architecture, CUV-CS-90–100, School of Computer Science. Carnegie Mellon University, Pittsburgh, PAGoogle Scholar
- Franklin JA (1971) Triaxial strength of rock materials. Rock Mech 3(2):86–98CrossRefGoogle Scholar
- Frean M (1990) The upstart algorithm: a method for constructing and training feed forward neural networks. Neural Comput 2:198–209CrossRefGoogle Scholar
- Gallant SI (1986) Three constructive algorithms for network learning, Proceedings, eighth annual conference of the cognitive science society, Amherst, MA, August 15–17, pp 652–660Google Scholar
- Gallant SI (1990) Perceptron-based learning algorithm. IEEE Trans Neural Netw 1(2):179–192CrossRefGoogle Scholar
- García SR, Romo MP, Taboada-Urtuzuástegui V, Mendoza M (2000) Sand behavior modeling using static and dynamic artificial neural networks. Serie de Investigación y Desarrollo, Institute of Engineering, UNAM, SID/631, MéxicoGoogle Scholar
- García SR, Romo MR, Botero E (2007) A neurofuzzy system to analyze liquefaction-induced lateral spread. Soil Dyn Earthquake Eng 28(3):169–180CrossRefGoogle Scholar
- Gaziev E (2001) Out energy evaluation for brittle materials. Int J Solids Struct 38(42–43):7681–7690CrossRefGoogle Scholar
- Ghaboussi J, Sidarta DE (1998) New nested adaptive neural networks (NANN) for constitutive modeling. Comp Geotech 22(1):29–71CrossRefGoogle Scholar
- Ghaboussi J, Garret JH, Wu X (1991) Knowledge-based modeling of material behavior with neural networks. J Eng Mech Div Am Soc Civ Engrs 117(EM1):133–157Google Scholar
- Indraratna B, Wijewardena LSS, Balasubramanian AS (1993) Large-scale triaxial testing of greywacke rockfill. Géotechnique 43(1):37–51CrossRefGoogle Scholar
- Marachi ND, Chan CK, Seed HB (1972) Evaluation of properties of rock materials. J Soil Mech Fdns Div Am Soc Civ Engrs 98(SM1):95–114Google Scholar
- Marsal RJ, Ramírez de Arellano L (1967) Performance of El Infiernillo dam, 1963–1966. J Soil Mech Fdns Div Am Soc Civ Engrs 93(SM4):265–297Google Scholar
- Mézard M, Nadal JP (1989) Learning feed forward layered networks: the tiling algorithm. J Phys A: Math Gen 22(22):2191–2203CrossRefGoogle Scholar
- Rahman MS (2002) Fuzzy neural network for liquefaction prediction. Soil Dny Earthquake Eng 22(8):685–694CrossRefGoogle Scholar
- Romo MP (1999) Earthquake geotechnical engineering and artificial neural networks: 4th Arthur Casagrande Lecture, Proceedings of XI Pan American Conference on Soil Mechanics and Geotechnical Engineering, Special Volume.Google Scholar
- Romo MP, García SR, Mendoza M, Taboada-Urtuzuástegui V (2001) Recurrent and constructive-algorithm networks for sand behavior modeling. Int J Geomech 1(4):371–387CrossRefGoogle Scholar
- Rumelhart DE, Hinton GE, Williams RJ (1986) In: Rumelhart DE, McClelland JL (eds) Learning internal representations by error propagation, parallel distributed processing: explorations in the microstructure of cognition, vol 1. MIT Press, Cambridge, pp 318–362Google Scholar
- Specht D (1991) A general regression neural network. IEEE Trans Neural Netw 2(6):568–576CrossRefGoogle Scholar
- Theodoridis S, Koutroumbas K (1999) Pattern recognition. Academic Press, Elsevier Science, USAGoogle Scholar
- Vega Pinto AA (1983)
*Previsao do comportamento structural de barragens de enrocamento*. Laboratorio Nacional de Engenharia Civil, LisboaGoogle Scholar - Vouille G, Laurent D (1969) Étude de la courbe intrenséque de quelque granites. Revue de l’Industrie Minérale, Paris, Numero special, 25–28Google Scholar
- Yoshida K, Hayashi Y, Imura AA (1989) Neural network expert system for diagnosing hepatobiliary disorders, MEDINFO ’89. Proceedings of the sixth conference on medical informatics, Beijing, October 16–20, cited in Gallant SI, Neural network learning and expert systems, The MIT Press, Third printing, pp 116–120Google Scholar