A Higher Order Finite Difference Method in Reservoir Stimulation

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Abstract/Contents

Abstract: A fourth order compact implicit differencing scheme which is known as the Babuska-Marchuk method is generalized for irregular grid system in both Cartesian and cylindrical coordinates, as its original form is valid only for uniform grid systems in Cartesian coordinates. Although the methods are represented as 3-point formulas, they have O(h3) local accuracy in general as compared with O(h) for the conventional 3-point schemes. The extended scheme for two dimensional spatial operator is also obtained. In this case the method results in a new 9-point formula. The application of the methods to reservoir simulation is then explained. The effectiveness of the methods is demonstrated by numerical examples for two test problems, a pressure drawdown problem and the Buckley-Leverett problem.

Type of resource	text
Date created	June 1983

Author	Kiuchi, Toshiyuki
Primary advisor	Horne, Roland N.
Degree granting institution	Stanford University, Department of Petroleum Engineering

Subject	School of Earth Energy & Environmental Sciences
Genre	Thesis

Location	https://purl.stanford.edu/yp679zw3022

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Preferred Citation: Kiuchi, Toshiyuki. (1983). A Higher Order Finite Difference Method in Reservoir Stimulation. Stanford Digital Repository. Available at: https://purl.stanford.edu/yp679zw3022

Master's Theses, Doerr School of Sustainability

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