THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

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Xin Liang

,

Guannan Liu

,

Shanjie Su

APPLICATIONS OF A NOVEL INTEGRAL TRANSFORM TO THE CONVECTION-DISPERSION EQUATIONS

ABSTRACT
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.
KEYWORDS
integral transform, convection-dispersion equation, hydraulic fracturing
PAPER SUBMITTED: 2017-03-08
PAPER REVISED: 2017-04-28
PAPER ACCEPTED: 2017-05-13
PUBLISHED ONLINE: 2017-12-02
DOI REFERENCE: https://doi.org/10.2298/TSCI17S1233L
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2017, VOLUME 21, ISSUE Supplement 1, PAGES [S233 - S240]
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Applications of a novel integral transform to the convection-dispersion equations

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence