Fuzzy-Based Parameter Uncertainty in 1-D Consolidation in Clay
- PDF / 1,066,178 Bytes
- 10 Pages / 547.087 x 737.008 pts Page_size
- 42 Downloads / 192 Views
(0123456789().,-volV) ( 01234567 89().,-volV)
ORIGINAL PAPER
Fuzzy-Based Parameter Uncertainty in 1-D Consolidation in Clay Djamalddine Boumezerane
Received: 7 November 2019 / Accepted: 7 July 2020 Springer Nature Switzerland AG 2020
Abstract Uncertainties in consolidation parameters are generally studied using probabilities. Due to lack of data and knowledge it is proposed to consider consolidation parameters within a fuzzy sets framework, as composed of series of intervals which allow taking into account uncertainty. One of the noticeable advantages of such an approach is its ability to deal easily with uncertainty in a context of lack of data. A fuzzy finite difference scheme is implemented and results compared with available data and with results from methods using probabilistic parameter distribution approaches for 1-D consolidation in clay. Keywords Coefficient of consolidation Parameter uncertainty Intervals Fuzzy sets Degree of uncertainty
1 Introduction Despite its widespread use, the one-dimensional consolidation theory in saturated clays considers in general soil parameters as deterministic entities with no variation or uncertainties. The coefficient of
D. Boumezerane (&) School of Computing Engineering and Physical Sciences, Engineering Division, University of the West of Scotland, High Street, Paisley PA1 2BE, Scotland, UK e-mail: [email protected]
consolidation is an important parameter in the process, and it is affected by uncertainties which can be epistemic or aleatory. Epistemic uncertainty is related to lack of data or knowledge, while aleatory uncertainty is related to natural randomness (Baecher and Christian 2003). Knowledge related uncertainty is also present in problems where engineering judgement is prevalent (Boumezerane et al. 2011; Jelusˇic and Zˇlender 2014). In this study epistemic uncertainty is taken into consideration. It originates from estimating the parameter in laboratory or from field measurements (Vlcek et al. 2016). Shuklal et al. (2009) give an extended review on different techniques used for determining coefficient of consolidation cv . Studies on consolidation which involved uncertainty are usually based on probabilistic approaches, where data need to be abundant. Several research works were conducted using probabilistic approaches, among them the one from Chang (1985) who performed a study on parameter uncertainty in 1D consolidation in clay by considering the variability of cv . In their research Abbasi et al. (2007) derived a onedimensional non-linear partial differential equation for prediction of consolidation characteristics of soft clays considering variable values for cv . They used a finite difference approach for the solution of a nonlinear equation of consolidation. On another aspect, Bong and Stuedlein (2018) considered spatial variability of natural soil deposits to obtain realistic probabilistically based estimates of the
123
Geotech Geol Eng
time for soil consolidation. They proposed two approaches for probabilistic analy
Data Loading...
