# Advanced Mathematical Models to Predict the Compaction Properties of Coarse-Grained Soils from Various Physical Properties

• Maher Omar
• Abdallah Shanableh
• Mohamed Arab
• Ali Tahmaz
Original Paper

## Abstract

An essential task in the process of construction is the determination of compaction properties of soils. Many years of laboratory test experience strengthen our belief in the existence of predictive equations that govern the compaction characteristics of soils. An advanced mathematical model developed in this research in order to uncertain the governing equations. An advanced mathematical model developed in this research in order to uncertain the governing equations. Through a comparative study among a Multiple Linear Regression (MLR) model, an Artificial Neural Network (ANN) model, Extreme Learning Machine (ELM) and a Support Vector Machine (SVM) model, the best predicting model was determined. For this purpose, Six hundred and six (606) samples collected and split into a dataset used for training the models and another used for validation of the derived model. 8 neural networks with a varying number of hidden layers and a varying number of nodes in hidden layers were employed. In ELM 1 hidden layer with varying number of units were employed. It was found that the equations derived from the ELM models described the relationship with superiority over multiple regression, ANN and SVM models for Maximum Dry Density and MLR models described the relationship with superiority over ANN, ELM and SVM models for Optimum Moisture Content.

## Keywords

Soil compaction Maximum Dry Density Optimum Moisture Content Coarse Grained Soil Artificial Neural Networks Multiple Linear Regression Extreme Learning Machines Support Vector Machines

## Notes

### Acknowledgements

This research is part of a comprehensive study to predict the compaction properties of soils from various physical properties through advanced mathematical models. Researchers are working on a similar project for the purpose of prediction of compaction characteristics of fine grains.

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© Springer International Publishing AG, part of Springer Nature 2018

## Authors and Affiliations

• Maher Omar
• 1
• Abdallah Shanableh
• 1
• Mohamed Arab
• 1
• 2