UW-Madison
GEOLOGY 724 -
Implicit Solution - Traditional Approach
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University of Wisconsin, Madison
Pages 4
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PowerPoint PresentationSlide 2Slide 3Slide 4• For the 1D governing equation used in the reservoirproblem, the stability criterion is:1)(22xStTTxSt2)(5.0orNote: Stability depends on the ratio of t to (x)2Maximum t allowed increases as x increases.tIterationplanesnn+1m+2m+1m+3Implicit Solution: Traditional Approachmm+2m+3m+4xtImplicit Solution Spreadsheet Model:a different view of iterationTime as aspatial dimensiont = 10Solution of the Reservoir Problem using a direct (matrix solution) as coded in the FORTRAN programs in Figures 5.1 and 5.2 in Wang and
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