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Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone

A mathematical model is presented for a reservoir with a continuous permeability distribution in the invaded zone. An analytical solution of the system was obtained in Laplace space. Solutions in real time space for the pressure and pressure derivative are obtained by numerical inversion of the Lapl...

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Main Author: El-Khatib, Noaman A.F.
Format: Conference or Workshop Item
Published: 2009
Subjects:
TN Mining engineering. Metallurgy
Online Access:http://eprints.utp.edu.my/245/1/paper.pdf
http://www.scopus.com/inward/record.url?eid=2-s2.0-70449574783&partnerID=40&md5=ae09858cc2f7e1eb48ac52b92fee1b3c
http://eprints.utp.edu.my/245/
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spelling my.utp.eprints.2452017-01-19T08:25:39Z Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone El-Khatib, Noaman A.F. TN Mining engineering. Metallurgy A mathematical model is presented for a reservoir with a continuous permeability distribution in the invaded zone. An analytical solution of the system was obtained in Laplace space. Solutions in real time space for the pressure and pressure derivative are obtained by numerical inversion of the Laplace transform using Stehfest algorithm. Solutions were obtained for infinite reservoirs and for finite reservoirs with closed and constant pressure outer boundaries. The permeability in the invaded zone varies from a skin permeability K<sub>s</sub> at the wellbore to the original permeability K<sub>e</sub> at the end of the invaded zone R<sub>s</sub>. The effects of the permeability ratio, the depth of invasion, the reservoir size, and the wellbore storage were investigated. Results of this study show that for this permeability distribution, the permeability ratio has a profound effect on the pressure behavior while the depth of invasion plays an insignificant role. It also showed that the use of the average permeability of the invaded zone in the steady state skin equation gives almost identical results of the additional pressure drop due to formation damage at large times as those obtained from the exact solution. An approximate solution can be used for relatively high invasion depths (R<sub>SD</sub> &gt; 20) which shows that the additional pressure drop is independent of the invasion depth Copyright 2009. Society of Petroleum Engineers. 2009 Conference or Workshop Item PeerReviewed application/pdf http://eprints.utp.edu.my/245/1/paper.pdf http://www.scopus.com/inward/record.url?eid=2-s2.0-70449574783&partnerID=40&md5=ae09858cc2f7e1eb48ac52b92fee1b3c El-Khatib, Noaman A.F. (2009) Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone. In: 16th Middle East Oil and Gas Show and Conference 2009, MEOS 2009, 15 March 2009 through 18 March 2009, Manama. http://eprints.utp.edu.my/245/
institution Universiti Teknologi Petronas
building UTP Resource Centre
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Petronas
content_source UTP Institutional Repository
url_provider http://eprints.utp.edu.my/
topic TN Mining engineering. Metallurgy
spellingShingle TN Mining engineering. Metallurgy
El-Khatib, Noaman A.F.
Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone
description A mathematical model is presented for a reservoir with a continuous permeability distribution in the invaded zone. An analytical solution of the system was obtained in Laplace space. Solutions in real time space for the pressure and pressure derivative are obtained by numerical inversion of the Laplace transform using Stehfest algorithm. Solutions were obtained for infinite reservoirs and for finite reservoirs with closed and constant pressure outer boundaries. The permeability in the invaded zone varies from a skin permeability K<sub>s</sub> at the wellbore to the original permeability K<sub>e</sub> at the end of the invaded zone R<sub>s</sub>. The effects of the permeability ratio, the depth of invasion, the reservoir size, and the wellbore storage were investigated. Results of this study show that for this permeability distribution, the permeability ratio has a profound effect on the pressure behavior while the depth of invasion plays an insignificant role. It also showed that the use of the average permeability of the invaded zone in the steady state skin equation gives almost identical results of the additional pressure drop due to formation damage at large times as those obtained from the exact solution. An approximate solution can be used for relatively high invasion depths (R<sub>SD</sub> &gt; 20) which shows that the additional pressure drop is independent of the invasion depth Copyright 2009. Society of Petroleum Engineers.
format Conference or Workshop Item
author El-Khatib, Noaman A.F.
author_facet El-Khatib, Noaman A.F.
author_sort El-Khatib, Noaman A.F.
title Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone
title_short Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone
title_full Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone
title_fullStr Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone
title_full_unstemmed Transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone
title_sort transient pressure behavior for a reservoir with continuous permeability distribution in the invaded zone
publishDate 2009
url http://eprints.utp.edu.my/245/1/paper.pdf
http://www.scopus.com/inward/record.url?eid=2-s2.0-70449574783&partnerID=40&md5=ae09858cc2f7e1eb48ac52b92fee1b3c
http://eprints.utp.edu.my/245/
_version_ 1738655044438327296
score 13.211869

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