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Title: Non-intrusive model reduction for a 3D unstructured mesh control volume finite element reservoir model and its application to fluvial channels

Authors: D. Xiao; F. Fang; C.C. Pain; I.M. Navon; P. Salinas; Z. Wang

Addresses: Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, Prince Consort Road, SW7 2BP, London, UK; Data Assimilation Lab, Data Science Institute, Imperial College London, UK ' Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, Prince Consort Road, SW7 2BP, London, UK ' Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, Prince Consort Road, SW7 2BP, London, UK ' Department of Scientific Computing, Florida State University, Tallahassee, FL, 32306-4120, USA ' Applied Modelling and Computation Group, Department of Earth Science and Engineering, Imperial College London, Prince Consort Road, SW7 2BP, London, UK ' School of Earth Sciences and Engineering, Sun Yat-Sen University, China

Abstract: A non-intrusive model reduction computational method using hypersurfaces representation has been developed for reservoir simulation and further applied to 3D fluvial channel problems in this work. This is achieved by a combination of a radial basis function (RBF) interpolation and proper orthogonal decomposition (POD) method. The advantage of the method is that it is generic and non-intrusive, that is, it does not require modifications to the original complex source code, for example, a 3D unstructured mesh control volume finite element (CVFEM) reservoir model used here. The capability of this non-intrusive reduced order model (NIROM) based on hypersurfaces representation has been numerically illustrated in a horizontally layered porous media case, and then further applied to a 3D complex fluvial channel case. By comparing the results of the NIROM against the solutions obtained from the high fidelity full model, it is shown that this NIROM results in a large reduction in the CPU computation cost while much of the details are captured. [Received: May 19, 2017; Accepted: December 1, 2017]

Keywords: radial basis function; RBF; proper orthogonal decomposition; POD; reservoir; hypersurface; 3D fluvial channel.

DOI: 10.1504/IJOGCT.2018.095581

International Journal of Oil, Gas and Coal Technology, 2018 Vol.19 No.3, pp.316 - 339

Received: 19 May 2017
Accepted: 01 Dec 2017
Published online: 11 Oct 2018 *