%A Joyce Aitchison %A Linda Cummings %A Giles Richardson %A Jonathan Rougier %L miis33 %T Uncertainty of flow in porous media %D 2005 %X The problem posed to the Study Group was, in essence, how to estimate the probability distribution of f(x) from the probability distribution of x. Here x is a large vector and f is a complicated function which can be expensive to evaluate. For Schlumberger's applications f is a computer simulator of a hydrocarbon reservoir, and x is a description of the geology of the reservoir, which is uncertain.