Operator and integro-differential representations of conditional and unconditional stochastic subsurface flow
We describe an operator representation which avoids the use of Neumann series. It leads to a compact integro-differential form which provides considerable new insight into the nature of the solution. When written in tems of conditional moments, our new representation contains local and nonlocal effective parameters that depend on scale and information. As such, these parameters are not unique material properties but may change as more is learned about the flow system.
scientific article; zbMATH DE number 687658
scientific article