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Markov Chains & Soil Constitutive Modeling

by H. Benaroya, Weidlinger Associates, United States,



Document Type: Proceeding Paper

Part of: Probabilistic Methods in Civil Engineering

Abstract:

The focus of this research effort is the construction of a mathematical framework to assist in understanding the role of uncertainties in the constitutive/dynamic behavior of soils. The approach chosen is phenomenological and probabilistic. Markov theory has been chosen to provide a framework for modeling constitutive uncertainties in soil behavior. Given the 'present' state of the process, the 'future' state is independent of its 'past' and is defined in terms of the transition probability. The transition probabilities represent the stochastic material and geometric characteristics of the system being studied, and thus connect the theory to experimental data. This paper presents a method to estimate these probabilities.

Subject Headings: Probability | Soil dynamics | Soil properties | Mathematical models | Markov process | Constitutive relations | Uncertainty principles

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