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Probabilistic characterization of soil-water characteristic curve from limited data
Applied Mathematical Modelling ( IF 5 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.apm.2020.08.023
Atma Prakash , Budhaditya Hazra , Sreedeep S

Abstract Soil-water characteristic curve is an essential constitutive relationship required for modelling unsaturated soil behaviour. Earlier supposed to be characteristic or unique for a particular soil, it is now well established that there are various sources of uncertainty which lead to different curves for the same soil. Hence it becomes necessary to probabilistically characterize soil-water characteristic curve for the purpose of reliability based design in unsaturated geotechnical engineering projects. Popular approach is to parametrize the soil-water characteristic curves into a set of curve fitting parameters and evolve the joint distribution of these parameters. However, a satisfactory probabilistic characterization requires large number of realizations and is practically not feasible since experimental measurement of soil-water characteristic curve is an expensive, time intensive and difficult task. For all practical purposes, it is impossible to obtain a large number of curves to arrive at the site-specific probability distribution. Therefore, this study proposes a Bayesian approach integrated with copula theory to obtain the joint probability distribution of soil-water characteristic curve parameters from limited number of curves. Limited number of curves are incorporated with prior knowledge to obtain the updated probability distribution of soil-water characteristic curve parameters. Efficacy of the proposed approach is demonstrated on three databases, one each for loam, fly ash and bentonite. Finally for demonstrating a practical application of the proposed approach, a site specific reliability based design of unsaturated slope is conducted.

中文翻译:

基于有限数据的土壤-水特征曲线的概率表征

摘要 土壤-水特征曲线是模拟非饱和土壤行为所需的基本本构关系。早先被认为是特定土壤的特征或独特性,现在已经确定存在各种不确定性来源,导致相同土壤的不同曲线。因此,为了在非饱和岩土工程项目中进行基于可靠性的设计,有必要对土壤-水特性曲线进行概率表征。流行的方法是将土壤-水特征曲线参数化为一组曲线拟合参数,并演化这些参数的联合分布。然而,令人满意的概率表征需要大量的实现并且实际上是不可行的,因为土壤-水特征曲线的实验测量是一项昂贵、耗时且困难的任务。出于所有实际目的,不可能获得大量曲线来得出特定于站点的概率分布。因此,本研究提出了一种结合copula理论的贝叶斯方法,从有限数量的曲线中获得土壤-水特征曲线参数的联合概率分布。有限数量的曲线与先验知识相结合,以获得土壤-水特征曲线参数的更新概率分布。所提议方法的有效性在三个数据库中得到证明,壤土、粉煤灰和膨润土各一个。
更新日期:2021-01-01
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