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Application of an automatic differentiation tool in the development of a compositional reservoir simulator

✍ Scribed by Abate, Jason ;Wang, Peng ;Sepehrnoori, Kamy ;Dawson, Clint

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 260 KB
Volume: 15
Category: Article
ISSN: 1069-8299
DOI: 10.1002/(sici)1099-0887(199906/07)15:6<423::aid-cnm256>3.0.co;2-5

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✦ Synopsis

Automatic dierentiation is an approach to numerically compute derivatives both accurately and eciently. This can be quite valuable, for example, in the fully implicit solution of compositional reservoir equations. We describe the procedures necessary to apply the ADIFOR (Automatic Dierentiation of Fortran) tool to the IPARS (Integrated Parallel Accurate Reservoir Simulator) compositional reservoir simulator and the approaches used to exploit the sparsity in the required Jacobian matrix. Values and execution times of the ADIFOR-generated derivatives are compared with a handwritten code that implements analytically derived expressions for the derivatives.

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