International Journal of Geosciences, 2017, 8, 1231-1250
http://www.scirp.org/journal/ijg
ISSN Online: 2156-8367
ISSN Print: 2156-8359
DOI: 10.4236/ijg.2017.810071 Oct. 27, 2017 1231 International Journal of Geosciences
Analysis of the Bearing Capacity of Shallow
Foundation in Unsaturated Soil Using Monte
Carlo Simulation
Nadarajah Ravichandran, Vahidreza Mahmoudabadi, Shweta Shrestha
Glenn Department of Civil Engineering, Clemson University, Clemson, SC, USA
Abstract
The ultimate bearing capacity of shallow foundation supported by unsatu-
rated soil depends on the degree of saturation of the soil within the influence
zone because the strength and deformation parameters of soil are affected by
the degree of saturation. As the degree of saturation varies with rainfall, sur-
face runoff, evapotranspiration and other climatic and geotechnical parame-
ters, these parameters must be systematically incorporated for accurately
computing the ultimate bearing capacity. In this study, a framework is pro-
posed to compute the ultimate bearing capacity of a shallow footing in unsa-
turated soil considering site specific rainfall and water table depth distribu-
tions. The randomness in rainfall and water table depth is systematically con-
sidered using Monte Carlo method. The infiltration of water through the un-
saturated zone is modelled using Richards equation considering infiltration
and water table location as the top and bottom boundary conditions, respec-
tively. The results show that the bearing capacity calculated using the pro-
posed method is approximately 2.7 times higher than that calculated using the
deterministic approach with fully saturated soil parameters.
Keywords
Unsaturated Soil, Shallow Foundation, Rainfall Data, Geotechnical Design,
Monte Carlo Simulation
1. Introduction
Shallow foundations are typically considered as the simplest and most economi-
cal foundation for supporting small to medium size structures. They transfer the
structural loads to the near surface soil that is mostly unsaturated and fluctuates
How to cite this paper: Ravichandran, N.,
Mahmoudabadi, V. and Shrestha, S. (2017)
Analysis of the Bearing Capacity of Shallow
Foundation in Unsaturated Soil Using Monte
Carlo Simulation. International Journal of
Geosciences, 8, 1231-1250.
https://doi.org/10.4236/ijg.2017.810071
Received: January 18, 2017
Accepted: October 24, 2017
Published: October 27, 2017
Copyright © 2017 by authors and
Scientific Research Publishing Inc.
This work is licensed under the Creative
Commons Attribution International
License (CC BY 4.0).
http://creativecommons.org/licenses/by/4.0/
Open Access