Multiscale Gradient Computation for Subsurface Flow Models

Rafael Jesus de Moraes, J.R.P. Rodrigues, Hadi Hajibeygi, Jan Dirk Jansen

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We present an efficient multiscale (MS) gradient computation that is suitable for reservoir management studies involving optimization techniques for, e.g., computer-assisted history matching or life-cycle production optimization. The general, algebraic framework allows for the calculation of gradients using both the Direct and Adjoint derivative methods. The framework also allows for the utilization of any MS formulation in the forward reservoir simulation that can be algebraically expressed in terms of a restriction and a prolongation operator. In the implementation, extra partial derivative information required by the gradient methods is computed via automatic differentiation. Numerical experiments demonstrate the accuracy of the method compared against those based on fine-scale simulation (industry standard).
Original languageEnglish
Title of host publicationProceedings of the 15th European Conference on the Mathematics of Oil Recovery
Subtitle of host publicationAmsterdam, Netherlands
Number of pages17
ISBN (Electronic)978-94-6282-193-4
Publication statusPublished - 2016
EventECMOR XV: 15th European Conference on the Mathematics of Oil Recovery - Amsterdam, Netherlands
Duration: 29 Aug 20161 Sep 2016


ConferenceECMOR XV
Abbreviated titleECMOR XV
Internet address

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.


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