The uncertainty effects of deformation bands on fluid flow
Autor(a) principal: | |
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Data de Publicação: | 2009 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Computational & Applied Mathematics |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000300003 |
Resumo: | Reservoir fractures and deformation bands are capable of affecting fluid flow and storage in a variety of ways. In terms of flow effects, we typically encounter an unchanged or increased permeability when considering flow parallel to a fracture, whereas we expect a noticeably reduced permeability when considering flow across (perpendicular to) a deformation band. For this paper, we refine our efforts and focus on the effects of deformation bands on multi-component porous medium flow. The main assumption is that the width of the band is a random (uncertain) variable that follows a certain statistical distribution from which a number of realizations can be generated. Monte Carlo simulations can then be performed to obtain statistical representations of the transport quantity in relation to the nature of uncertainty. As analytical expressions are available for this quantity of interest, we are able to compare them with the Monte Carlo results. Furthermore, we derive a stochastic perturbation model as an alternative to Monte Carlo simulations. Finally, a set of numerical examples is presented to illustrate the performance of these approaches. |
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Computational & Applied Mathematics |
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The uncertainty effects of deformation bands on fluid flowdeformation bandpressure equationturation equationMonte Carlouncertaintystochastic perturbation expansionReservoir fractures and deformation bands are capable of affecting fluid flow and storage in a variety of ways. In terms of flow effects, we typically encounter an unchanged or increased permeability when considering flow parallel to a fracture, whereas we expect a noticeably reduced permeability when considering flow across (perpendicular to) a deformation band. For this paper, we refine our efforts and focus on the effects of deformation bands on multi-component porous medium flow. The main assumption is that the width of the band is a random (uncertain) variable that follows a certain statistical distribution from which a number of realizations can be generated. Monte Carlo simulations can then be performed to obtain statistical representations of the transport quantity in relation to the nature of uncertainty. As analytical expressions are available for this quantity of interest, we are able to compare them with the Monte Carlo results. Furthermore, we derive a stochastic perturbation model as an alternative to Monte Carlo simulations. Finally, a set of numerical examples is presented to illustrate the performance of these approaches.Sociedade Brasileira de Matemática Aplicada e Computacional2009-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000300003Computational & Applied Mathematics v.28 n.3 2009reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022009000300003info:eu-repo/semantics/openAccessPresho,MichaelGinting,VictorWo,Shaochangeng2009-11-05T00:00:00Zoai:scielo:S1807-03022009000300003Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2009-11-05T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false |
dc.title.none.fl_str_mv |
The uncertainty effects of deformation bands on fluid flow |
title |
The uncertainty effects of deformation bands on fluid flow |
spellingShingle |
The uncertainty effects of deformation bands on fluid flow Presho,Michael deformation band pressure equation turation equation Monte Carlo uncertainty stochastic perturbation expansion |
title_short |
The uncertainty effects of deformation bands on fluid flow |
title_full |
The uncertainty effects of deformation bands on fluid flow |
title_fullStr |
The uncertainty effects of deformation bands on fluid flow |
title_full_unstemmed |
The uncertainty effects of deformation bands on fluid flow |
title_sort |
The uncertainty effects of deformation bands on fluid flow |
author |
Presho,Michael |
author_facet |
Presho,Michael Ginting,Victor Wo,Shaochang |
author_role |
author |
author2 |
Ginting,Victor Wo,Shaochang |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Presho,Michael Ginting,Victor Wo,Shaochang |
dc.subject.por.fl_str_mv |
deformation band pressure equation turation equation Monte Carlo uncertainty stochastic perturbation expansion |
topic |
deformation band pressure equation turation equation Monte Carlo uncertainty stochastic perturbation expansion |
description |
Reservoir fractures and deformation bands are capable of affecting fluid flow and storage in a variety of ways. In terms of flow effects, we typically encounter an unchanged or increased permeability when considering flow parallel to a fracture, whereas we expect a noticeably reduced permeability when considering flow across (perpendicular to) a deformation band. For this paper, we refine our efforts and focus on the effects of deformation bands on multi-component porous medium flow. The main assumption is that the width of the band is a random (uncertain) variable that follows a certain statistical distribution from which a number of realizations can be generated. Monte Carlo simulations can then be performed to obtain statistical representations of the transport quantity in relation to the nature of uncertainty. As analytical expressions are available for this quantity of interest, we are able to compare them with the Monte Carlo results. Furthermore, we derive a stochastic perturbation model as an alternative to Monte Carlo simulations. Finally, a set of numerical examples is presented to illustrate the performance of these approaches. |
publishDate |
2009 |
dc.date.none.fl_str_mv |
2009-01-01 |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000300003 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022009000300003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1807-03022009000300003 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
text/html |
dc.publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
publisher.none.fl_str_mv |
Sociedade Brasileira de Matemática Aplicada e Computacional |
dc.source.none.fl_str_mv |
Computational & Applied Mathematics v.28 n.3 2009 reponame:Computational & Applied Mathematics instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) instacron:SBMAC |
instname_str |
Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
instacron_str |
SBMAC |
institution |
SBMAC |
reponame_str |
Computational & Applied Mathematics |
collection |
Computational & Applied Mathematics |
repository.name.fl_str_mv |
Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC) |
repository.mail.fl_str_mv |
||sbmac@sbmac.org.br |
_version_ |
1754734890192994304 |