Algebraic Dynamic Multilevel Method for Single-phase Flow in Heterogeneous Geothermal Reservoirs

Mousa Hosseinimehr, R.B. Arbarim, Matteo Cusini, Kees Vuik, Hadi Hajibeygi

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

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Abstract

Accurate numerical simulation of coupled fluid flow and heat transfer in heterogeneous geothermal reservoirs demand for high resolution computational grids. The resulting fine-scale discrete systems--though crucial for accurate predictions--are typically upscaled to lower resolution systems due to computational efficiency concerns. Therefore, advanced scalable methods which are efficient and accurate for real-field applications are more than ever on demand. To address this need, we present an algebraic dynamic multilevel method for flow and heat transfer in heterogeneous formations, which allows for different temperature values for fluid and rock. The fine-scale fully-implicit discrete system is mapped to a dynamic multilevel grid, the solution at which are connected through local basis functions. These dynamic grid cells are imposed such that the sub-domain of sharp gradients are resolved at fine-scale, while the rest of the domain remains at lower (coarser) resolutions. In order to guarantee the quality of the local (heat front) components, advanced multiscale basis functions are employed for global (fluid pressure and rock temperature) unknowns at coarser grids. Numerical test cases are presented for homogeneous and heterogeneous domains, where ADM employs only a small fraction of the finescale grids to find accurate complex nonlinear thermal flow solutions. As such, it develops a promising scalable
framework for field-scale geothermal simulations.
Original languageEnglish
Title of host publicationECMOR XVI
EditorsD. Gunasekera
Place of PublicationHouten
PublisherEAGE
Pages1-11
Number of pages11
ISBN (Print)9789462822603
DOIs
Publication statusPublished - 2018
Event16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018: 3–6 September 2018, Barcelona, Spain - Barcelona, Spain
Duration: 3 Sep 20186 Sep 2018
Conference number: 16
https://events.eage.org/en/2018/ecmorxvi

Conference

Conference16th European Conference on the Mathematics of Oil Recovery, ECMOR 2018
Abbreviated titleECMOR 2018
CountrySpain
CityBarcelona
Period3/09/186/09/18
Internet address

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