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6 - Shear Flow Dispersion

Published online by Cambridge University Press:  02 February 2023

Tian-Chyi Jim Yeh
Affiliation:
University of Arizona
Yanhui Dong
Affiliation:
Chinese Academy of Sciences, Beijing
Shujun Ye
Affiliation:
Nanjing University, China
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Summary

This chapter is the most crucial part of the book, the fundamental building block of the concept of dispersion in porous media and macrodispersion in the field-scale aquifers. It unravels the myth of macrodispersion, anomalous dispersion, scale-dependent dispersion, dual-domain, and other recently developed dispersion models for solute transport in aquifers (Chapters 9 and 10). This chapter first explains how the concept of dispersion evolves from molecular diffusion to account for the effects of fluid-dynamics-scale velocity variation in solute migration in a pipe. The relationship between dispersion and the concentration averaged over the cross-section of a pipe is visited. Further, this chapter illustrates the molecular and fluid-dynamics-scale velocity variations, the interaction between diffusion and dispersion, and scale issues associated with the shear flow dispersion. Finally, it discusses the limitations of extending Fick’s law for molecular-scale velocity variations to describe the effects of fluid-dynamics-scale velocity variations.

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Publisher: Cambridge University Press
Print publication year: 2023

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  • Shear Flow Dispersion
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.007
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  • Shear Flow Dispersion
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.007
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Shear Flow Dispersion
  • Tian-Chyi Jim Yeh, University of Arizona, Yanhui Dong, Chinese Academy of Sciences, Beijing, Shujun Ye, Nanjing University, China
  • Book: An Introduction to Solute Transport in Heterogeneous Geologic Media
  • Online publication: 02 February 2023
  • Chapter DOI: https://doi.org/10.1017/9781009049511.007
Available formats
×