Author(s)

J.E. Capilla, J.J. Gomez, A. Sahuquillo & H.J.W.M. Hendricks Franssen

Abstract

The inverse problem is, by its own definition, an ill-posed problem that requires assumptions about the structure of the unknown parameters. Yet, it has been traditionally addressed in a somehow deterministic way, searching for an optimum or best estimate solution that reproduces the available data. The impossibility of measuring hydrodynamic parameters and variables all over the aquifer makes groundwater-modeling results uncertain at any given conceivable situation. This fact has been the motivation to the development of stochastic hydrogeology. In this framework, hydrodynamic parameters are treated as realizations of a stochastic process conditioned to available data and characterized by a random function model inferred from the own data. In practical cases, the difficulty to solve the stochastic partial differe

Keywords