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Modeling the slake durability index using regression analysis, artificial neural networks and adaptive neuro-fuzzy methods

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Abstract

Clay bearing, weathered and other weak rocks cause major problems in engineering practice due to their interactions with water. The slake durability index (I d2) is an important tool used to assess the resistance of these rocks to erosion and degradation, but sample preparation for this test is tedious. The paper reports an attempt to define I d2 through statistical models using other parameters that are simpler to obtain. The main objective of this study was to define the best empirical relationship between the I d2 and the point load strength index (I s(50)), dry unit weight (γ d) and fractal dimension (D) parameters of eight rock types by applying general multiple linear regression (GLM), artificial neural networks (ANN) and adaptive neuro-fuzzy inference systems (ANFIS). The models obtained were evaluated using the R 2, MSE, MARE and d parameters. The results indicate that the relationships between I d2 and γ d, I s(50) and D were best obtained using ANN, followed by GLM and ANFIS. It is concluded that ANN modelling is a fast and practical method of establishing I d2.

Résumé

Les roches argileuses, altérées et d’autres roches tendres causent des problèmes importants dans la pratique du fait de leurs interactions avec l’eau. L’indice de durabilité-humidification (Id2) est un outil important utilisé pour évaluer la résistance de ces roches à l’érosion et à la dégradation, mais la préparation des échantillons pour ce test est fastidieuse. L’article présente une tentative pour définir l’indice Id2 à partir de modèles statistiques utilisant d’autres paramètres plus simples à obtenir. L’objectif principal de cette étude était de définir la meilleure relation empirique entre l’indice de durabilité-humidification (Id2) et l’indice de résistance à la compression entre pointes (Is(50)), le poids spécifique sec (γd) et le paramètre de dimension fractale (D) pour huit types de roche, faisant appel à la régression linéaire multiple générale (GLM), aux réseaux de neurones artificiels (ANN) et au systèmes d’inférence de logique floue (ANFIS). Les modèles obtenus ont été évalués en utilisant les paramètres R2, MSE, MARE et d. Les résultats indiquent que les relations entre Id2 et γd, Is(50) et D ont été plus facilement obtenues en utilisant ANN, suivit de GLM et ANFIS. Il est conclu que la modélisation ANN est une méthode rapide et pratique pour établir Id2.

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Acknowledgments

The petrographic determinations were done by Dr. Y. K. Kadioglu of Ankara University. Thin section preparation and XRD analyses were carried out by Dr. N. Konak and B. Donmez of the MTA (Mineral Research and Exploration Institute). Contributions by many individuals are greatly appreciated.

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Authors and Affiliations

  1. Department of Geological Engineering, Faculty of Engineering and Architecture, Bozok University, Yozgat, Turkey

    Ersin Kolay

  2. Department of Geological Engineering, Faculty of Engineering, Ankara University, Ankara, Turkey

    Kamil Kayabali

  3. Department of Civil Engineering, Faculty of Engineering and Architecture, Bozok University, Yozgat, Turkey

    Yuksel Tasdemir

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  1. Ersin Kolay
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  2. Kamil Kayabali
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  3. Yuksel Tasdemir
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Correspondence to Ersin Kolay.

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Kolay, E., Kayabali, K. & Tasdemir, Y. Modeling the slake durability index using regression analysis, artificial neural networks and adaptive neuro-fuzzy methods. Bull Eng Geol Environ 69, 275–286 (2010). https://doi.org/10.1007/s10064-009-0259-1

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  • DOI: https://doi.org/10.1007/s10064-009-0259-1

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