A mathematical model for thermal single-phase flow and reactive transport in fractured porous media
•Thermo-reactive flow.•Fractured porous media and reduced models.•Temporal splitting scheme to solve complex set of non-linear, non-smooth, mixed-dimensional partial differential equations.•Guidances and solution strategies for realistic geometries. In this paper we present a mathematical model and...
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Veröffentlicht in: | Journal of computational physics 2021-06, Vol.434, p.110205, Article 110205 |
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creator | Fumagalli, Alessio Scotti, Anna |
description | •Thermo-reactive flow.•Fractured porous media and reduced models.•Temporal splitting scheme to solve complex set of non-linear, non-smooth, mixed-dimensional partial differential equations.•Guidances and solution strategies for realistic geometries.
In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave as high or low permeability channels depending on their physical parameters, and are thus of paramount importance in underground flow problems. Chemical reactions may alter the local properties of the porous media as well as the fracture walls, changing the flow path and possibly occluding some portions of the fractures or zones in the porous media. To solve numerically the coupled problem we propose a temporal splitting scheme so that the equations describing each physical process are solved sequentially. Numerical tests show the accuracy of the proposed model and the ability to capture complex phenomena, where one or multiple fractures are present. |
doi_str_mv | 10.1016/j.jcp.2021.110205 |
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In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave as high or low permeability channels depending on their physical parameters, and are thus of paramount importance in underground flow problems. Chemical reactions may alter the local properties of the porous media as well as the fracture walls, changing the flow path and possibly occluding some portions of the fractures or zones in the porous media. To solve numerically the coupled problem we propose a temporal splitting scheme so that the equations describing each physical process are solved sequentially. Numerical tests show the accuracy of the proposed model and the ability to capture complex phenomena, where one or multiple fractures are present.</description><identifier>ISSN: 0021-9991</identifier><identifier>EISSN: 1090-2716</identifier><identifier>DOI: 10.1016/j.jcp.2021.110205</identifier><language>eng</language><publisher>Cambridge: Elsevier Inc</publisher><subject>Chemical reactions ; Computational physics ; Discrete fracture matrix ; Fractures ; Mathematical models ; Model accuracy ; Physical properties ; Porous media ; Reactive flow ; Single-phase flow ; Splitting schemes ; Workflow</subject><ispartof>Journal of computational physics, 2021-06, Vol.434, p.110205, Article 110205</ispartof><rights>2021 Elsevier Inc.</rights><rights>Copyright Elsevier Science Ltd. Jun 1, 2021</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c368t-b3a66574bdf5461a19f3bba4ee7af565c4380740043a3cb23b0747521cb032f13</citedby><cites>FETCH-LOGICAL-c368t-b3a66574bdf5461a19f3bba4ee7af565c4380740043a3cb23b0747521cb032f13</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/S0021999121001005$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65306</link.rule.ids></links><search><creatorcontrib>Fumagalli, Alessio</creatorcontrib><creatorcontrib>Scotti, Anna</creatorcontrib><title>A mathematical model for thermal single-phase flow and reactive transport in fractured porous media</title><title>Journal of computational physics</title><description>•Thermo-reactive flow.•Fractured porous media and reduced models.•Temporal splitting scheme to solve complex set of non-linear, non-smooth, mixed-dimensional partial differential equations.•Guidances and solution strategies for realistic geometries.
In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave as high or low permeability channels depending on their physical parameters, and are thus of paramount importance in underground flow problems. Chemical reactions may alter the local properties of the porous media as well as the fracture walls, changing the flow path and possibly occluding some portions of the fractures or zones in the porous media. To solve numerically the coupled problem we propose a temporal splitting scheme so that the equations describing each physical process are solved sequentially. Numerical tests show the accuracy of the proposed model and the ability to capture complex phenomena, where one or multiple fractures are present.</description><subject>Chemical reactions</subject><subject>Computational physics</subject><subject>Discrete fracture matrix</subject><subject>Fractures</subject><subject>Mathematical models</subject><subject>Model accuracy</subject><subject>Physical properties</subject><subject>Porous media</subject><subject>Reactive flow</subject><subject>Single-phase flow</subject><subject>Splitting schemes</subject><subject>Workflow</subject><issn>0021-9991</issn><issn>1090-2716</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp9UMtO5DAQtFastMMsH7A3S5wzdNtxHuI0QiwgIXGBs-U4bXCUxFk7A-Lv8Wj2zKVbXV3Vj2LsD8IOAaurYTfYZSdA4A4RBKgfbIPQQiFqrM7YBnKnaNsWf7HzlAYAaFTZbJjd88msb5SDt2bkU-hp5C5EnsE4ZST5-XWkYnkzibgbwwc3c88jGbv6d-JrNHNaQly5n7mLGT1E6nlGwiHxiXpvfrOfzoyJLv7nLXv5e_t8c188Pt093OwfCyurZi06aapK1WXXO1VWaLB1sutMSVQbpyplS9lAXQKU0kjbCdnlqlYCbQdSOJRbdnmau8Tw70Bp1UM4xDmv1EKJRgGikJmFJ5aNIaVITi_RTyZ-agR99FIPOnupj17qk5dZc33SUD7_3VPUyXqabf4ukl11H_w36i98Enwv</recordid><startdate>20210601</startdate><enddate>20210601</enddate><creator>Fumagalli, Alessio</creator><creator>Scotti, Anna</creator><general>Elsevier Inc</general><general>Elsevier Science Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>7U5</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20210601</creationdate><title>A mathematical model for thermal single-phase flow and reactive transport in fractured porous media</title><author>Fumagalli, Alessio ; Scotti, Anna</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c368t-b3a66574bdf5461a19f3bba4ee7af565c4380740043a3cb23b0747521cb032f13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Chemical reactions</topic><topic>Computational physics</topic><topic>Discrete fracture matrix</topic><topic>Fractures</topic><topic>Mathematical models</topic><topic>Model accuracy</topic><topic>Physical properties</topic><topic>Porous media</topic><topic>Reactive flow</topic><topic>Single-phase flow</topic><topic>Splitting schemes</topic><topic>Workflow</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fumagalli, Alessio</creatorcontrib><creatorcontrib>Scotti, Anna</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Journal of computational physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fumagalli, Alessio</au><au>Scotti, Anna</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A mathematical model for thermal single-phase flow and reactive transport in fractured porous media</atitle><jtitle>Journal of computational physics</jtitle><date>2021-06-01</date><risdate>2021</risdate><volume>434</volume><spage>110205</spage><pages>110205-</pages><artnum>110205</artnum><issn>0021-9991</issn><eissn>1090-2716</eissn><abstract>•Thermo-reactive flow.•Fractured porous media and reduced models.•Temporal splitting scheme to solve complex set of non-linear, non-smooth, mixed-dimensional partial differential equations.•Guidances and solution strategies for realistic geometries.
In this paper we present a mathematical model and a numerical workflow for the simulation of a thermal single-phase flow with reactive transport in porous media, in the presence of fractures. The latter are thin regions which might behave as high or low permeability channels depending on their physical parameters, and are thus of paramount importance in underground flow problems. Chemical reactions may alter the local properties of the porous media as well as the fracture walls, changing the flow path and possibly occluding some portions of the fractures or zones in the porous media. To solve numerically the coupled problem we propose a temporal splitting scheme so that the equations describing each physical process are solved sequentially. Numerical tests show the accuracy of the proposed model and the ability to capture complex phenomena, where one or multiple fractures are present.</abstract><cop>Cambridge</cop><pub>Elsevier Inc</pub><doi>10.1016/j.jcp.2021.110205</doi><oa>free_for_read</oa></addata></record> |
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subjects | Chemical reactions Computational physics Discrete fracture matrix Fractures Mathematical models Model accuracy Physical properties Porous media Reactive flow Single-phase flow Splitting schemes Workflow |
title | A mathematical model for thermal single-phase flow and reactive transport in fractured porous media |
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