An analysis of polynomial chaos approximations for modeling single-fluid-phase flow in porous medium systems

• Published in: Journal of computational physics Vol. 226; no. 2; pp. 2175 - 2205
• Main Authors: Rupert, C.P., Miller, C.T.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 01.10.2007; Elsevier
• Subjects: APPROXIMATIONS; CHAOS THEORY; CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Computational techniques; Exact sciences and technology; FLOW MODELS; GROUND WATER; Groundwater flow; HYDRAULIC CONDUCTIVITY; Karhunen–Loève expansion; Mathematical methods in physics; Monte Carlo; MONTE CARLO METHOD; MULTIVARIATE ANALYSIS; Physics; POLYNOMIALS; POROUS MATERIALS; RANDOMNESS; SERIES EXPANSION; SIMULATION; STEADY-STATE CONDITIONS; Stochastic; STOCHASTIC PROCESSES; Stochastic; Monte Carlo; Groundwater flow; Karhunen–Loève expansion; Chaos; Karhunen-Loève expansion; Dimensionality; Polynomial approximation; Porous medium; Stochastic approximation; Calculation methods; Random field; Monte Carlo methods; Decoupling; Series expansion; Models; Modelling; Calculation; Infinite dimension; Single phase flow

We examine a variety of polynomial-chaos-motivated approximations to a stochastic form of a steady state groundwater flow model. We consider approaches for truncating the infinite dimensional problem and producing decoupled systems. We discuss conditions under which such decoupling is possible and s...