Applications of a novel integral transform to the convection-dispersion equations

In this paper, we extend the novel integral transform of some functions by the duality relationship between it and Laplace transform. Additionally, applying the novel integral transform, we solve a 1-D convection-dispersion equation describing the dispersion process of chemical additives in...

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Bibliographic Details
Main Authors:	Liang Xin, Liu Guannan, Su Shanjie
Format:	Article
Language:	English
Published:	VINCA Institute of Nuclear Sciences 2017-01-01
Series:	Thermal Science
Subjects:	integral transform convection-dispersion equation hydraulic fracturing
Online Access:	http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-983617233L .pdf

id	doaj-b2193faada1a4170a1a249adb48676c3
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spelling	doaj-b2193faada1a4170a1a249adb48676c32021-01-02T02:19:45ZengVINCA Institute of Nuclear SciencesThermal Science0354-98362334-71632017-01-0121suppl. 123324010.2298/TSCI17S1233L0354-983617233LApplications of a novel integral transform to the convection-dispersion equationsLiang Xin0Liu Guannan1Su Shanjie2China University of Mining and Technology, State Key Laboratory for Geomechanics and Deep Underground Engineering, Xuzhou, ChinaChina University of Mining and Technology, School of Mechanics and Civil Engineering, Xuzhou, ChinaChina University of Mining and Technology, State Key Laboratory for Geomechanics and Deep Underground Engineering, Xuzhou, ChinaIn this paper, we extend the novel integral transform of some functions by the duality relationship between it and Laplace transform. Additionally, applying the novel integral transform, we solve a 1-D convection-dispersion equation describing the dispersion process of chemical additives in porous rocks during the hydraulic fracturing. The results indicate that the novel integral transform can provide a new idea to obtain more exact solutions of different convection-dispersion problems.http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-983617233L .pdfintegral transformconvection-dispersion equationhydraulic fracturing
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Liang Xin Liu Guannan Su Shanjie
spellingShingle	Liang Xin Liu Guannan Su Shanjie Applications of a novel integral transform to the convection-dispersion equations Thermal Science integral transform convection-dispersion equation hydraulic fracturing
author_facet	Liang Xin Liu Guannan Su Shanjie
author_sort	Liang Xin
title	Applications of a novel integral transform to the convection-dispersion equations
title_short	Applications of a novel integral transform to the convection-dispersion equations
title_full	Applications of a novel integral transform to the convection-dispersion equations
title_fullStr	Applications of a novel integral transform to the convection-dispersion equations
title_full_unstemmed	Applications of a novel integral transform to the convection-dispersion equations
title_sort	applications of a novel integral transform to the convection-dispersion equations
publisher	VINCA Institute of Nuclear Sciences
series	Thermal Science
issn	0354-9836 2334-7163
publishDate	2017-01-01
description	In this paper, we extend the novel integral transform of some functions by the duality relationship between it and Laplace transform. Additionally, applying the novel integral transform, we solve a 1-D convection-dispersion equation describing the dispersion process of chemical additives in porous rocks during the hydraulic fracturing. The results indicate that the novel integral transform can provide a new idea to obtain more exact solutions of different convection-dispersion problems.
topic	integral transform convection-dispersion equation hydraulic fracturing
url	http://www.doiserbia.nb.rs/img/doi/0354-9836/2017/0354-983617233L .pdf
work_keys_str_mv	AT liangxin applicationsofanovelintegraltransformtotheconvectiondispersionequations AT liuguannan applicationsofanovelintegraltransformtotheconvectiondispersionequations AT sushanjie applicationsofanovelintegraltransformtotheconvectiondispersionequations
_version_	1724362083037872128

Applications of a novel integral transform to the convection-dispersion equations

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