A CLASS OF PARAMETER-ESTIMATION TECHNIQUES FOR FLUID-FLOW IN POROUS-MEDIA

In this paper, we consider how some parameter estimation inverse problems of fluid flow in porous media can be solved without iteratively solving the related forward problems many times. For spatially-dependent parameters, hyperbolic perturbation is used to enforce stability. The temporally-dependent parameters are computed via a nonclassical partial differential equation. The methods presented are considerably less time consuming that the iterative methods. Several numerical experiments are carried out to show the stability, the convergence and the dependence of the solution upon the error in the data.