The operation of spatially dependent dispersion coefficients for contaminant transport through the river reaches

IF 4.1 3区地球科学 Q2 GEOSCIENCES, MULTIDISCIPLINARY

Physics and Chemistry of the Earth Pub Date : 2025-09-05 DOI:10.1016/j.pce.2025.104100

Jafar Chabokpour , Amir Samadi

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引用次数: 0

Abstract

The conventional advection-dispersion equation (ADE) with constant coefficients often fails to capture the spatial variability that characterizes flow velocity and dispersion in river systems, thus necessitating the use of models with spatially variable coefficients (SVC-ADE). This study proposes a new analytical solution for the SVC-ADE that successfully fills the current void in modeling sudden pollutant releases with linear velocity (u = k₁ x) and quadratic dispersion (D = k₂ x²) variation. Through Laplace transform and variable transformation techniques, the solution was verified with Conococheague Creek field data. The effects of coefficients (k₁, k₂, k, C₀) on breakthrough curve (BC) shapes were explored with similarities to classical ADE but with greater accuracy for spatial variability. Spatial moments decreased exponentially, and temporal moments increased as power functions with distance, while dispersivity increased linearly and maximum concentration decreased nonlinearly. Nonlinear relationships were established between SVC-ADE and conventional ADE parameters. Model performance (RMSE = 0.038–0.045 ppm, DC = 0.93) confirms its utility for environmental management.

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空间依赖的分散系数在河流流域污染物运输中的作用

传统的常系数平流-弥散方程（ADE）往往不能反映河流系统流速和弥散的空间变异性，因此需要使用空间变系数模型（SVC-ADE）。本研究提出了SVC-ADE的一种新的解析解，成功地填补了目前在模拟具有线速度（u = k1 x）和二次色散（D = k2 x2）变化的污染物突然释放方面的空白。通过拉普拉斯变换和变量变换技术，利用conoccocheague Creek油田数据对求解结果进行了验证。研究了系数（k1, k2, k, C0）对突破曲线（BC）形状的影响，与经典ADE相似，但在空间变异性方面具有更高的准确性。空间矩随距离呈指数递减，时间矩随距离呈幂函数递增，色散度呈线性递增，最大浓度呈非线性递减。SVC-ADE与常规ADE参数之间建立了非线性关系。模型性能（RMSE = 0.038-0.045 ppm, DC = 0.93）证实了其对环境管理的效用。

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来源期刊

Physics and Chemistry of the Earth 地学-地球科学综合

CiteScore

5.40

自引率

2.70%

发文量

176

审稿时长

31.6 weeks

期刊介绍： Physics and Chemistry of the Earth is an international interdisciplinary journal for the rapid publication of collections of refereed communications in separate thematic issues, either stemming from scientific meetings, or, especially compiled for the occasion. There is no restriction on the length of articles published in the journal. Physics and Chemistry of the Earth incorporates the separate Parts A, B and C which existed until the end of 2001. Please note: the Editors are unable to consider submissions that are not invited or linked to a thematic issue. Please do not submit unsolicited papers. The journal covers the following subject areas: -Solid Earth and Geodesy: (geology, geochemistry, tectonophysics, seismology, volcanology, palaeomagnetism and rock magnetism, electromagnetism and potential fields, marine and environmental geosciences as well as geodesy). -Hydrology, Oceans and Atmosphere: (hydrology and water resources research, engineering and management, oceanography and oceanic chemistry, shelf, sea, lake and river sciences, meteorology and atmospheric sciences incl. chemistry as well as climatology and glaciology). -Solar-Terrestrial and Planetary Science: (solar, heliospheric and solar-planetary sciences, geology, geophysics and atmospheric sciences of planets, satellites and small bodies as well as cosmochemistry and exobiology).