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The solution of an inverse problem in reservoir permeability

Posted on:2005-03-03Degree:M.ScType:Thesis
University:Dalhousie University (Canada)Candidate:Panawalage, Sarath PremakumaraFull Text:PDF
GTID:2450390008996081Subject:Mathematics
Abstract/Summary:
A precise knowledge of permeability is crucial to establishing an accurate simulation of reservoir performance and enhanced reservoir management. At present, permeability is measured by taking a core sample to a lab and measuring flow rates, but this is both expensive and less accurate because there can be significant problems with measurement error, and the value is measured only at the point of the sample. The best way to resolve this problem is to obtain in-situ permeability with the aid of reservoir characteristics determined by solving differential equations which govern the fluid flow in porous media.; This research discusses mathematical models of permeability which are of the "inverse" type; that is, the behavior of the reservoir flow is assumed known, as well as the initial and boundary conditions. A model which calculates the permeability of reservoirs is called an inverse (backward) type. Due to the complexity of this model there is a lack of interest by researchers in this inverse type. The main difficulty is the inferring the permeability of the porous media from flow data. Among different techniques discussed a matching technique has been put forward to overcome the traditional complexity that arises in solving typical inverse problems.; Conventional well-test analysis provides a solution to estimate a permeability that characterizes the area of investigation. Then, the variation of the permeability field is determined by studying anomalies between different areas of investigation within the reservoir measured. This research is designed to provide simple ways to solve the inverse problem that would be a great advancement of knowledge in reservoir characterization.
Keywords/Search Tags:Reservoir, Permeability, Inverse, Problem
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