Three-dimensional solute transport in finite and curved porous media with surface input sources

IF 4.9 Q2 ENGINEERING, ENVIRONMENTAL

Groundwater for Sustainable Development Pub Date : 2024-09-25 DOI:10.1016/j.gsd.2024.101349

Sujata Kushwaha , Joy Roy , R.R. Yadav

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Abstract

In this paper, an analytical solution for three-dimensional solute transport in porous media between two curved surfaces is investigated. It is assumed that the groundwater velocity and dispersion coefficient vary with time and position. Groundwater velocity is not considered to be horizontal. The components of dispersion coefficient along the axes are considered to be proportional to the square of corresponding the position variable. The dispersion coefficient components along axes are proportional to the corresponding component of groundwater velocity in temporal aspects while former is squarely proportional to letter one in position components. It is assumed that the sources originate from two curved surfaces. The nature of the source on the two surfaces is the same, but there may be a variation in potential. Initially, the aquifer's domain is supposed to be uniformly polluted. The Laplace Integral Transformation Technique (LITT) is used to obtain analytical solutions. Numerical examples are given to demonstrate the effects of various factors on the solute concentration profile in a system where advection and dispersion play important roles.

In addition, the sub-case of horizontal flow is also discussed. The model is extremely useful in analyzing and dealing with widespread surface sources of groundwater pollution in simulated agricultural fields or urban dumping areas.

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带有表面输入源的有限和弯曲多孔介质中的三维溶质输运

本文研究了多孔介质在两个曲面之间的三维溶质输运的解析解。假设地下水速度和扩散系数随时间和位置变化。地下水速度不被认为是水平的。沿轴向的分散系数分量被认为与相应位置变量的平方成正比。在时间方面，沿轴的弥散系数分量与地下水流速的相应分量成正比，而在位置分量方面，前者与字母一成正比。假设水源来自两个曲面。两个曲面上的水源性质相同，但水势可能不同。初始情况下，含水层域假定受到均匀污染。利用拉普拉斯积分变换技术（LITT）获得解析解。此外，还讨论了水平流动的子情况。该模型在分析和处理模拟农田或城市垃圾堆放区广泛存在的地下水面源污染时非常有用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Groundwater for Sustainable Development Social Sciences-Geography, Planning and Development

CiteScore

11.50

自引率

10.20%

发文量

152

期刊介绍： Groundwater for Sustainable Development is directed to different stakeholders and professionals, including government and non-governmental organizations, international funding agencies, universities, public water institutions, public health and other public/private sector professionals, and other relevant institutions. It is aimed at professionals, academics and students in the fields of disciplines such as: groundwater and its connection to surface hydrology and environment, soil sciences, engineering, ecology, microbiology, atmospheric sciences, analytical chemistry, hydro-engineering, water technology, environmental ethics, economics, public health, policy, as well as social sciences, legal disciplines, or any other area connected with water issues. The objectives of this journal are to facilitate: • The improvement of effective and sustainable management of water resources across the globe. • The improvement of human access to groundwater resources in adequate quantity and good quality. • The meeting of the increasing demand for drinking and irrigation water needed for food security to contribute to a social and economically sound human development. • The creation of a global inter- and multidisciplinary platform and forum to improve our understanding of groundwater resources and to advocate their effective and sustainable management and protection against contamination. • Interdisciplinary information exchange and to stimulate scientific research in the fields of groundwater related sciences and social and health sciences required to achieve the United Nations Millennium Development Goals for sustainable development.