Uncertainty propagation of arbitrary probability density functions applied to upscaling of transmissivities

• Published in: Stochastic environmental research and risk assessment Vol. 30; no. 1; pp. 237 - 249
• Main Authors: Lourens, A, van Geer, F. C
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2016; Springer Nature B.V
• Subjects: Approximation; Aquatic Pollution; aquifers; Boreholes; Chemistry and Earth Sciences; Computational Intelligence; Computer Science; Computer simulation; Density; Earth and Environmental Science; Earth Sciences; Environment; Geology; Hydrogeology; Hydrology; Interpolation; Math. Appl. in Environmental Science; Mathematical analysis; Monte Carlo method; Monte Carlo simulation; Original Paper; Physics; Probability; Probability density functions; probability distribution; Probability Theory and Stochastic Processes; Propagation; Statistics for Engineering; Transmissivity; Uncertainty; Waste Water Technology; Water Management; Water Pollution Control; Probability density function; Piecewise linear; Upscaling transmissivity; Error propagation; Kriging; Monte Carlo simulation

In many fields of study, and certainly in hydrogeology, uncertainty propagation is a recurring subject. Usually, parametrized probability density functions (PDFs) are used to represent data uncertainty, which limits their use to particular distributions. Often, this problem is solved by Monte Carlo...