LAPLACE TRANSFORM DECONVOLUTION AND ITS APPLICATION TO WELL TEST DATA ANALYSIS

The primary objective of this project is to extend the conveniences of deconvolution to non-linear problems of fluid flow in porous media. Unlike conventional approaches, which are based on an approximate linearization of the problem, here the solution of the non-linear problem is linearized by a perturbation approach, which permits term-by-term application of deconvolution. Because the proposed perturbation solution is more conveniently evaluated in the Laplacetransform domain and the standard deconvolution algorithms are in the time-domain, an efficient deconvolution procedure in the Laplace domain is a prerequisite