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author:

Jiang, Wenhao (Jiang, Wenhao.) [1] | Ge, Shangqi (Ge, Shangqi.) [2] | Li, Jiangshan (Li, Jiangshan.) [3]

Indexed by:

EI

Abstract:

Through the variable substitution and separated variable methods, this study develops a two-dimensional (2-D) axisymmetric diffusion analytical solution for organic pollutants in a circular-shaped cutoff wall (CCW) system for the first time, which can more precisely and reasonably simulate the diffusion behaviors in 'circular-shaped' vertical barriers. Then, the proposed analytical solution's reasonableness is verified by comparing it with an existing analytical solution and a corresponding finite-difference solution. Meanwhile, the comparison suggests that this solution will degrade to a 2-D diffusion analytical solution when the pollution source radius is large enough. Furthermore, the presented analytical solution can also be simplified to a one-dimensional axisymmetric diffusion analytical solution, or to the axisymmetric diffusion analytical solutions in a single-layered medium. These exact analytical solutions can not only be applied to study axisymmetric diffusion behaviors under specific scenarios, but also be used to validate other complex numerical models. Last, a case study is conducted to investigate the impacts of pollution source concentration distribution, CCW horizontal thickness, and defined equivalent diffusion coefficient on the barrier performance. Overall, the proposed analytical solutions and obtained diffusion laws in this study can provide guidance for the service effect assessment and the engineering design of cutoff walls. © 2024 John Wiley & Sons Ltd.

Keyword:

Diffusion barriers

Community:

  • [ 1 ] [Jiang, Wenhao]State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, China
  • [ 2 ] [Jiang, Wenhao]University of Chinese Academy of Sciences, Beijing, China
  • [ 3 ] [Jiang, Wenhao]Zijin School of Geology and Mining, Fuzhou University, Fuzhou, China
  • [ 4 ] [Ge, Shangqi]School of Civil Engineering, Shandong University, Jinan, China
  • [ 5 ] [Li, Jiangshan]State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, China
  • [ 6 ] [Li, Jiangshan]University of Chinese Academy of Sciences, Beijing, China

Reprint 's Address:

  • [li, jiangshan]university of chinese academy of sciences, beijing, china;;[li, jiangshan]state key laboratory of geomechanics and geotechnical engineering, institute of rock and soil mechanics, chinese academy of sciences, wuhan, china;;

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Source :

International Journal for Numerical and Analytical Methods in Geomechanics

ISSN: 0363-9061

Year: 2025

Issue: 1

Volume: 49

Page: 312-328

3 . 4 0 0

JCR@2023

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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