Analytical Solution for Fractional Derivative Gas-Flow Equation in Porous Media

Handle URI:
http://hdl.handle.net/10754/625174
Title:
Analytical Solution for Fractional Derivative Gas-Flow Equation in Porous Media
Authors:
El-Amin, Mohamed ( 0000-0002-1099-2299 ) ; Radwan, Ahmed G.; Sun, Shuyu ( 0000-0002-3078-864X )
Abstract:
In this paper, we introduce an analytical solution of the fractional derivative gas transport equation using the power-series technique. We present a new universal transform, namely, generalized Boltzmann change of variable which depends on the fractional order, time and space. This universal transform is employed to transfer the partial differential equation into an ordinary differential equation. Moreover, the convergence of the solution has been investigated and found that solutions are unconditionally converged. Results are introduced and discussed for the universal variable and other physical parameters such as porosity and permeability of the reservoir; time and space.
KAUST Department:
King Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabia
Citation:
El Amin MF, Radwan AG, Sun S (2017) Analytical Solution for Fractional Derivative Gas-Flow Equation in Porous Media. Results in Physics. Available: http://dx.doi.org/10.1016/j.rinp.2017.06.051.
Publisher:
Elsevier BV
Journal:
Results in Physics
Issue Date:
6-Jul-2017
DOI:
10.1016/j.rinp.2017.06.051
Type:
Article
ISSN:
2211-3797
Additional Links:
http://www.sciencedirect.com/science/article/pii/S2211379717309038
Appears in Collections:
Articles

Full metadata record

DC FieldValue Language
dc.contributor.authorEl-Amin, Mohameden
dc.contributor.authorRadwan, Ahmed G.en
dc.contributor.authorSun, Shuyuen
dc.date.accessioned2017-07-12T07:20:54Z-
dc.date.available2017-07-12T07:20:54Z-
dc.date.issued2017-07-06en
dc.identifier.citationEl Amin MF, Radwan AG, Sun S (2017) Analytical Solution for Fractional Derivative Gas-Flow Equation in Porous Media. Results in Physics. Available: http://dx.doi.org/10.1016/j.rinp.2017.06.051.en
dc.identifier.issn2211-3797en
dc.identifier.doi10.1016/j.rinp.2017.06.051en
dc.identifier.urihttp://hdl.handle.net/10754/625174-
dc.description.abstractIn this paper, we introduce an analytical solution of the fractional derivative gas transport equation using the power-series technique. We present a new universal transform, namely, generalized Boltzmann change of variable which depends on the fractional order, time and space. This universal transform is employed to transfer the partial differential equation into an ordinary differential equation. Moreover, the convergence of the solution has been investigated and found that solutions are unconditionally converged. Results are introduced and discussed for the universal variable and other physical parameters such as porosity and permeability of the reservoir; time and space.en
dc.publisherElsevier BVen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S2211379717309038en
dc.rights© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectFractional derivativeen
dc.subjectporous mediaen
dc.subjectnatural gasen
dc.subjectreservoir modelingen
dc.subjectinfinite series solutionsen
dc.titleAnalytical Solution for Fractional Derivative Gas-Flow Equation in Porous Mediaen
dc.typeArticleen
dc.contributor.departmentKing Abdullah University of Science and Technology (KAUST), Thuwal 23955-6900, Kingdom of Saudi Arabiaen
dc.identifier.journalResults in Physicsen
dc.eprint.versionPost-printen
dc.contributor.institutionEffat University, Jeddah 21478, Kingdom of Saudi Arabiaen
dc.contributor.institutionMathematics Department, Faculty of Science, Aswan University, Aswan 81528, Egypten
dc.contributor.institutionNanoelectronics Integrated Systems Center (NISC), Nile University, Giza, Egypten
kaust.authorEl-Amin, Mohameden
kaust.authorSun, Shuyuen
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