The spatial distribution of parameters that characterize the subsurface is never known to any reasonable level of accuracy required to solve the governing PDEs of multiphase flow or species transport through porous media. This paper presents a numerically cheap, yet efficient, accurate and parallel framework to estimate reservoir parameters, for example, medium permeability, using sensor information from measurements of the solution variables such as phase pressures, phase concentrations, fluxes, and seismic and well log data. Numerical results are presented to demonstrate the method.
"A Parallel Stochastic Framework for Reservoir Characterization and History Matching." J. Appl. Math. 2011 (SI1) 1 - 19, 2011. https://doi.org/10.1155/2011/535484