Print Email Facebook Twitter Iterative multiscale gradient computation for heterogeneous subsurface flow Title Iterative multiscale gradient computation for heterogeneous subsurface flow Author Jesus de Moraes, R. (TU Delft Reservoir Engineering; Petrobras Research & Development Center) de Zeeuw, W. (TU Delft Electrical Engineering, Mathematics and Computer Science) R. P. Rodrigues, José (Petrobras Research & Development Center) Hajibeygi, H. (TU Delft Reservoir Engineering) Jansen, J.D. (TU Delft Civil Engineering & Geosciences; TU Delft Geoscience and Engineering) Faculty Electrical Engineering, Mathematics and Computer Science Department Geoscience and Engineering Date 2019 Abstract We introduce a semi-analytical iterative multiscale derivative computation methodology that allows for error control and reduction to any desired accuracy, up to fine-scale precision. The model responses are computed by the multiscale forward simulation of flow in heterogeneous porous media. The derivative computation method is based on the augmentation of the model equation and state vectors with the smoothing stage defined by the iterative multiscale method. In the formulation, we avoid additional complexity involved in computing partial derivatives associated to the smoothing step. We account for it as an approximate derivative computation stage. The numerical experiments illustrate how the newly introduced derivative method computes misfit objective function gradients that converge to fine-scale one as the iterative multiscale residual converges. The robustness of the methodology is investigated for test cases with high contrast permeability fields. The iterative multiscale gradient method casts a promising approach, with minimal accuracy-efficiency tradeoff, for large-scale heterogeneous porous media optimization problems. Subject Adjoint methodDirect methodGradient computationIterative multiscale finite volumeMultiscale methodsSubsurface flow To reference this document use: http://resolver.tudelft.nl/uuid:cadf667d-4928-4c8c-b0f9-40ffed1b0f49 DOI https://doi.org/10.1016/j.advwatres.2019.05.016 ISSN 0309-1708 Source Advances in Water Resources, 129, 210-221 Part of collection Institutional Repository Document type journal article Rights © 2019 R. Jesus de Moraes, W. de Zeeuw, José R. P. Rodrigues, H. Hajibeygi, J.D. Jansen Files PDF 1_s2.0_S0309170818307905_main.pdf 2.03 MB Close viewer /islandora/object/uuid:cadf667d-4928-4c8c-b0f9-40ffed1b0f49/datastream/OBJ/view