Evaluation of modified Hantush's function
Abstract
It is pointed out that Hantush's \emph{M} function, commonly used in groundwater pumping modeling, is identical to the function known in the problems of heat conduction in the ground. A modified Hantush function used in the steady-state solutions for heat conduction that take into account advection due to groundwater flow around borehole heat exchangers (BHEs) is introduced. New exact representation and two-types of approximate expressions for this two-parametric function \emph{E} are presented: one is suitable for small values of a parameter and the other for its large values. High accuracy of the approximate formulae is verified by comparison with the exact values provided by modified Hantush's function in those validity domains. These analytical expressions can be used for designing complex borehole configurations and may be potentially useful in steady-state analysis of partially penetrated wells (PPWs) in leaky aquifer.
Cite
@article{arxiv.2301.00470,
title = {Evaluation of modified Hantush's function},
author = {Tatyana V. Bandos and Koldobika Martin-Escudero and José M. Sala-Lizarraga},
journal= {arXiv preprint arXiv:2301.00470},
year = {2023}
}
Comments
29 pages, 9 figures