Heat loss calculation in thermal simulation |
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Authors: | Vinit Hansamuit Jamal H Abou-Kassem S M Farouq Ali |
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Institution: | (1) The Pennysylvania State University, 16802 University Park, PA, USA;(2) Department of Mineral Engineering, University of Alberta, T6G 2EI Edmonton, Alberta, Canada |
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Abstract: | An appraisal is presented for four different methods that are usually incorporated in thermal simulators to estimate the rate of heat loss to surroundings. The methods are the analytical solution using a superposition theorem, the analytical solution using a numerical approximation to the convolution integral, the semi-analytical solution, and the numerical solution. This appraisal includes expressing the equations in a form that can be incorporated into a fully implicit simulator, computer programming complexity, and the computer CPU time and memory storage requirements. A steam flood problem is used for the comparison, and the gas recovery, oil recovery, and heat loss performances for a reservoir in one and two dimensions are presented. It is found that the numerical solution is sensitive to grid size in the overburden, the semi-analytical solution is the simplest to program but its prediction is the least accurate, the analytical solution is the most expensive, whereas the analytical-numerical solution combines both accuracy and acceptable storage requirements, and therefore, it is recommended for use in thermal simulation. |
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Keywords: | Thermal simulation heat loss steam injection |
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