On the Lauwerier formulation of the temperature field problem in oil strata

On the Lauwerier formulation of the temperature field problem in oil strata

The paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). The boundary value problem for the fractional heat equation is solved by means of the Caputo diffe...

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Main Authors: Lyubomir Boyadjiev, Ognian Kamenov, Shyam Kalla
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS.2005.1577
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spelling doaj-01e1e93cb60f45319ea62a3cd9563b1e2020-11-24T23:09:43ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252005-01-012005101577158810.1155/IJMMS.2005.1577On the Lauwerier formulation of the temperature field problem in oil strataLyubomir Boyadjiev0Ognian Kamenov1Shyam Kalla2Institut für Praktische Mathematik, Universität Karlsruhe (TH), Karlsruhe 76128, GermanyDepartment of Applied Mathematics and Informatics, Technical University of Sofia, P.O. Box 384, Sofia 1000, BulgariaDepartment of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitThe paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). The boundary value problem for the fractional heat equation is solved by means of the Caputo differintegration operator D∗(α) of order 0<α≤1 and the Laplace transform. The solution is obtained in an integral form, where the integrand is expressed in terms of a convolution of two special functions of Wright type.http://dx.doi.org/10.1155/IJMMS.2005.1577
collection DOAJ
language English
format Article
sources DOAJ
author Lyubomir Boyadjiev
Ognian Kamenov
Shyam Kalla
spellingShingle Lyubomir Boyadjiev
Ognian Kamenov
Shyam Kalla
On the Lauwerier formulation of the temperature field problem in oil strata
International Journal of Mathematics and Mathematical Sciences
author_facet Lyubomir Boyadjiev
Ognian Kamenov
Shyam Kalla
author_sort Lyubomir Boyadjiev
title On the Lauwerier formulation of the temperature field problem in oil strata
title_short On the Lauwerier formulation of the temperature field problem in oil strata
title_full On the Lauwerier formulation of the temperature field problem in oil strata
title_fullStr On the Lauwerier formulation of the temperature field problem in oil strata
title_full_unstemmed On the Lauwerier formulation of the temperature field problem in oil strata
title_sort on the lauwerier formulation of the temperature field problem in oil strata
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2005-01-01
description The paper is concerned with the fractional extension of the Lauwerier formulation of the problem related to the temperature field description in a porous medium (sandstone) saturated with oil (strata). The boundary value problem for the fractional heat equation is solved by means of the Caputo differintegration operator D∗(α) of order 0<α≤1 and the Laplace transform. The solution is obtained in an integral form, where the integrand is expressed in terms of a convolution of two special functions of Wright type.
url http://dx.doi.org/10.1155/IJMMS.2005.1577
work_keys_str_mv AT lyubomirboyadjiev onthelauwerierformulationofthetemperaturefieldprobleminoilstrata
AT ogniankamenov onthelauwerierformulationofthetemperaturefieldprobleminoilstrata
AT shyamkalla onthelauwerierformulationofthetemperaturefieldprobleminoilstrata
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