Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity

In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the permeabilities. The analysis uses travelling wave approximation. Ent...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2019-06
Main Authors: Mitra, Koondanibha, Köppl, Tobias, van Duijn, Cornelis Johannes, Iuliu Sorin Pop, Helmig, Rainer
Format: Article
Language:English
Subjects:
Capillarity
Capillary pressure
Capillary waves
Economic models
Hysteresis models
Pressure effects
Saturation
Traveling waves
Two phase flow
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites
container_end_page
container_issue
container_start_page
container_title arXiv.org
container_volume
creator Mitra, Koondanibha
Köppl, Tobias
van Duijn, Cornelis Johannes
Iuliu Sorin Pop
Helmig, Rainer
description In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the permeabilities. The analysis uses travelling wave approximation. Entropy solutions are derived for Riemann problems that are arising in this context. These solutions belong to a much broader class compared to the standard Oleinik solutions, where hysteresis and dynamic effects are neglected. The relevant cases are examined and the corresponding solutions are categorized. They include non-monotone profiles, multiple shocks and self-developing stable saturation plateaus. Numerical results are presented that illustrate the mathematical analysis. Finally, we compare experimental results with our theoretical findings.
format article
fullrecord <record><control><sourceid>proquest</sourceid><recordid>TN_cdi_proquest_journals_2244456680</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2244456680</sourcerecordid><originalsourceid>FETCH-proquest_journals_22444566803</originalsourceid><addsrcrecordid>eNqNjEEKwjAQAIMgWLR_WPBciElai1ex-ADBo8Q2oSlpErMppb-3Bx_gaQ4zzIZkjPNTUQvGdiRHHCilrDqzsuQZeTbRu4RgHKTZF6GXqCD46CcEbf0MIfq3VSNeQGmt2jX1GvoFk4oKDYJ0HXSLk6NpoZXBWCujScuBbLW0qPIf9-TY3B7Xe7H-PpPC9Br8FN2qXowJIcqqqin_r_oCoBhCNQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2244456680</pqid></control><display><type>article</type><title>Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity</title><source>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</source><creator>Mitra, Koondanibha ; Köppl, Tobias ; van Duijn, Cornelis Johannes ; Iuliu Sorin Pop ; Helmig, Rainer</creator><creatorcontrib>Mitra, Koondanibha ; Köppl, Tobias ; van Duijn, Cornelis Johannes ; Iuliu Sorin Pop ; Helmig, Rainer</creatorcontrib><description>In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the permeabilities. The analysis uses travelling wave approximation. Entropy solutions are derived for Riemann problems that are arising in this context. These solutions belong to a much broader class compared to the standard Oleinik solutions, where hysteresis and dynamic effects are neglected. The relevant cases are examined and the corresponding solutions are categorized. They include non-monotone profiles, multiple shocks and self-developing stable saturation plateaus. Numerical results are presented that illustrate the mathematical analysis. Finally, we compare experimental results with our theoretical findings.</description><identifier>EISSN: 2331-8422</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Capillarity ; Capillary pressure ; Capillary waves ; Economic models ; Hysteresis models ; Pressure effects ; Saturation ; Traveling waves ; Two phase flow</subject><ispartof>arXiv.org, 2019-06</ispartof><rights>2019. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.proquest.com/docview/2244456680?pq-origsite=primo$$EHTML$$P50$$Gproquest$$Hfree_for_read</linktohtml><link.rule.ids>780,784,25753,37012,44590</link.rule.ids></links><search><creatorcontrib>Mitra, Koondanibha</creatorcontrib><creatorcontrib>Köppl, Tobias</creatorcontrib><creatorcontrib>van Duijn, Cornelis Johannes</creatorcontrib><creatorcontrib>Iuliu Sorin Pop</creatorcontrib><creatorcontrib>Helmig, Rainer</creatorcontrib><title>Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity</title><title>arXiv.org</title><description>In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the permeabilities. The analysis uses travelling wave approximation. Entropy solutions are derived for Riemann problems that are arising in this context. These solutions belong to a much broader class compared to the standard Oleinik solutions, where hysteresis and dynamic effects are neglected. The relevant cases are examined and the corresponding solutions are categorized. They include non-monotone profiles, multiple shocks and self-developing stable saturation plateaus. Numerical results are presented that illustrate the mathematical analysis. Finally, we compare experimental results with our theoretical findings.</description><subject>Capillarity</subject><subject>Capillary pressure</subject><subject>Capillary waves</subject><subject>Economic models</subject><subject>Hysteresis models</subject><subject>Pressure effects</subject><subject>Saturation</subject><subject>Traveling waves</subject><subject>Two phase flow</subject><issn>2331-8422</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><sourceid>PIMPY</sourceid><recordid>eNqNjEEKwjAQAIMgWLR_WPBciElai1ex-ADBo8Q2oSlpErMppb-3Bx_gaQ4zzIZkjPNTUQvGdiRHHCilrDqzsuQZeTbRu4RgHKTZF6GXqCD46CcEbf0MIfq3VSNeQGmt2jX1GvoFk4oKDYJ0HXSLk6NpoZXBWCujScuBbLW0qPIf9-TY3B7Xe7H-PpPC9Br8FN2qXowJIcqqqin_r_oCoBhCNQ</recordid><startdate>20190620</startdate><enddate>20190620</enddate><creator>Mitra, Koondanibha</creator><creator>Köppl, Tobias</creator><creator>van Duijn, Cornelis Johannes</creator><creator>Iuliu Sorin Pop</creator><creator>Helmig, Rainer</creator><general>Cornell University Library, arXiv.org</general><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AFKRA</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PIMPY</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope></search><sort><creationdate>20190620</creationdate><title>Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity</title><author>Mitra, Koondanibha ; Köppl, Tobias ; van Duijn, Cornelis Johannes ; Iuliu Sorin Pop ; Helmig, Rainer</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-proquest_journals_22444566803</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Capillarity</topic><topic>Capillary pressure</topic><topic>Capillary waves</topic><topic>Economic models</topic><topic>Hysteresis models</topic><topic>Pressure effects</topic><topic>Saturation</topic><topic>Traveling waves</topic><topic>Two phase flow</topic><toplevel>online_resources</toplevel><creatorcontrib>Mitra, Koondanibha</creatorcontrib><creatorcontrib>Köppl, Tobias</creatorcontrib><creatorcontrib>van Duijn, Cornelis Johannes</creatorcontrib><creatorcontrib>Iuliu Sorin Pop</creatorcontrib><creatorcontrib>Helmig, Rainer</creatorcontrib><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>Materials Science &amp; Engineering Collection</collection><collection>ProQuest Central (Alumni)</collection><collection>ProQuest Central</collection><collection>ProQuest Central Essentials</collection><collection>AUTh Library subscriptions: ProQuest Central</collection><collection>Technology Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Engineering Collection</collection><collection>Engineering Database</collection><collection>Publicly Available Content Database (Proquest) (PQ_SDU_P3)</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>ProQuest Central China</collection><collection>Engineering Collection</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Mitra, Koondanibha</au><au>Köppl, Tobias</au><au>van Duijn, Cornelis Johannes</au><au>Iuliu Sorin Pop</au><au>Helmig, Rainer</au><format>book</format><genre>document</genre><ristype>GEN</ristype><atitle>Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity</atitle><jtitle>arXiv.org</jtitle><date>2019-06-20</date><risdate>2019</risdate><eissn>2331-8422</eissn><abstract>In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the permeabilities. The analysis uses travelling wave approximation. Entropy solutions are derived for Riemann problems that are arising in this context. These solutions belong to a much broader class compared to the standard Oleinik solutions, where hysteresis and dynamic effects are neglected. The relevant cases are examined and the corresponding solutions are categorized. They include non-monotone profiles, multiple shocks and self-developing stable saturation plateaus. Numerical results are presented that illustrate the mathematical analysis. Finally, we compare experimental results with our theoretical findings.</abstract><cop>Ithaca</cop><pub>Cornell University Library, arXiv.org</pub><oa>free_for_read</oa></addata></record>
fulltext fulltext
identifier EISSN: 2331-8422
ispartof arXiv.org, 2019-06
issn 2331-8422
language eng
recordid cdi_proquest_journals_2244456680
source Publicly Available Content Database (Proquest) (PQ_SDU_P3)
subjects Capillarity
Capillary pressure
Capillary waves
Economic models
Hysteresis models
Pressure effects
Saturation
Traveling waves
Two phase flow
title Fronts in two-phase porous flow problems: effects of hysteresis and dynamic capillarity
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-03T21%3A22%3A47IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest&rft_val_fmt=info:ofi/fmt:kev:mtx:book&rft.genre=document&rft.atitle=Fronts%20in%20two-phase%20porous%20flow%20problems:%20effects%20of%20hysteresis%20and%20dynamic%20capillarity&rft.jtitle=arXiv.org&rft.au=Mitra,%20Koondanibha&rft.date=2019-06-20&rft.eissn=2331-8422&rft_id=info:doi/&rft_dat=%3Cproquest%3E2244456680%3C/proquest%3E%3Cgrp_id%3Ecdi_FETCH-proquest_journals_22444566803%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2244456680&rft_id=info:pmid/&rfr_iscdi=true