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Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs

D. Xiao, F. Fang, C. Pain, I.M. Navon, A. Muggeridge, Dunhui Xiao Orcid Logo

Swansea University Author: Dunhui Xiao Orcid Logo

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Abstract

Production optimisation and history matching are two applications that require the engineer to run numerous flow simulations of flow in the subsurface. Each flow simulation can be very computationally intensive, especially if reservoir is geologically complex. In some cases it may not be feasible to...

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ISSN: 2214-4609
Published: Amsterdam ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery 2016
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URI: https://cronfa.swan.ac.uk/Record/cronfa46457
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spelling 2022-09-27T17:07:09.9537765 v2 46457 2018-12-06 Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs 62c69b98cbcdc9142622d4f398fdab97 0000-0003-2461-523X Dunhui Xiao Dunhui Xiao true false 2018-12-06 AERO Production optimisation and history matching are two applications that require the engineer to run numerous flow simulations of flow in the subsurface. Each flow simulation can be very computationally intensive, especially if reservoir is geologically complex. In some cases it may not be feasible to perform the optimisation sufficiently quickly for it to be useful. This has driven the development of reduced order modelling (ROM) techniques. The problem with most ROMs is that they have to be hard-coded into the flow simulator and so cannot be used with the commercial simulators that are used by most oil companies. In addition most applications of ROMs have assumed that the geological description of the reservoir is known. This is generally not the case, indeed the aim of history matching is to adjust the geological model of the reservoir until the flow through the model replicates that which is observed. In this paper a non-intrusive reduced order model (NIROM) is presented that enables the engineer to vary the permeabilities within a heterogeneous reservoir for a fixed well pattern and then estimate the resulting waterflood performance. The NIROM uses a Smolyak sparse grid interpolation method, radial basis functions (RBF) and proper orthogonal decomposition (POD) is presented. ‘Non-intrusive’ means that the NIROM is implemented independently of the underlying flow model. Here we use it in conjunction with an unstructured mesh, control volume finite element (CVFEM), multiphase flow model. The NIROM is demonstrated using three reservoir models: one with four material layers, one with four baffles and one with eight baffles. The results compare well with those from a high fidelity full model and reduce the CPU time by a factor of a thousand. Conference Paper/Proceeding/Abstract ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery Amsterdam 2214-4609 29 8 2016 2016-08-29 10.3997/2214-4609.201601854 COLLEGE NANME Aerospace Engineering COLLEGE CODE AERO Swansea University 2022-09-27T17:07:09.9537765 2018-12-06T14:52:23.5307984 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering D. Xiao 1 F. Fang 2 C. Pain 3 I.M. Navon 4 A. Muggeridge 5 Dunhui Xiao 0000-0003-2461-523X 6
title Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs
spellingShingle Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs
Dunhui Xiao
title_short Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs
title_full Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs
title_fullStr Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs
title_full_unstemmed Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs
title_sort Non-intrusive Reduced Order Modelling of Waterflooding in Geologically Heterogeneous Reservoirs
author_id_str_mv 62c69b98cbcdc9142622d4f398fdab97
author_id_fullname_str_mv 62c69b98cbcdc9142622d4f398fdab97_***_Dunhui Xiao
author Dunhui Xiao
author2 D. Xiao
F. Fang
C. Pain
I.M. Navon
A. Muggeridge
Dunhui Xiao
format Conference Paper/Proceeding/Abstract
publishDate 2016
institution Swansea University
issn 2214-4609
doi_str_mv 10.3997/2214-4609.201601854
publisher ECMOR XV - 15th European Conference on the Mathematics of Oil Recovery
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Aerospace Engineering
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description Production optimisation and history matching are two applications that require the engineer to run numerous flow simulations of flow in the subsurface. Each flow simulation can be very computationally intensive, especially if reservoir is geologically complex. In some cases it may not be feasible to perform the optimisation sufficiently quickly for it to be useful. This has driven the development of reduced order modelling (ROM) techniques. The problem with most ROMs is that they have to be hard-coded into the flow simulator and so cannot be used with the commercial simulators that are used by most oil companies. In addition most applications of ROMs have assumed that the geological description of the reservoir is known. This is generally not the case, indeed the aim of history matching is to adjust the geological model of the reservoir until the flow through the model replicates that which is observed. In this paper a non-intrusive reduced order model (NIROM) is presented that enables the engineer to vary the permeabilities within a heterogeneous reservoir for a fixed well pattern and then estimate the resulting waterflood performance. The NIROM uses a Smolyak sparse grid interpolation method, radial basis functions (RBF) and proper orthogonal decomposition (POD) is presented. ‘Non-intrusive’ means that the NIROM is implemented independently of the underlying flow model. Here we use it in conjunction with an unstructured mesh, control volume finite element (CVFEM), multiphase flow model. The NIROM is demonstrated using three reservoir models: one with four material layers, one with four baffles and one with eight baffles. The results compare well with those from a high fidelity full model and reduce the CPU time by a factor of a thousand.
published_date 2016-08-29T03:55:59Z
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