井内混合效应与尺度效应对注入井附近溶质径向弥散过程的影响

肖勋; 施文光; 王全荣

doi:10.3799/dqkx.2019.124

Volume 45 Issue 4

Apr. 2020

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Article Navigation > Earth Science > 2020 > 45(4): 1439-1446

Xiao Xun, Shi Wenguang, Wang Quanrong, 2020. Effect of Mixing Effect and Scale-Dependent Dispersion for Radial Solute Transport near the Injection Well. Earth Science, 45(4): 1439-1446. doi: 10.3799/dqkx.2019.124

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Xiao Xun, Shi Wenguang, Wang Quanrong, 2020. Effect of Mixing Effect and Scale-Dependent Dispersion for Radial Solute Transport near the Injection Well. Earth Science, 45(4): 1439-1446. doi: 10.3799/dqkx.2019.124

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Effect of Mixing Effect and Scale-Dependent Dispersion for Radial Solute Transport near the Injection Well

doi: 10.3799/dqkx.2019.124

School of Environmental Studies, China University of Geosciences, Wuhan 430074, China

Received Date: 2019-05-25
Publish Date: 2020-04-15

Abstract

Abstract

Radial solute transport refers to a dispersive transport process of a solute under a radial flow field, which has been widely used to describe the solute transport around the well in aquifer remediation. However, in the previous studies, the mixing effect in the wellbore has often been ignored, assuming that the wellbore is infinitely small or the concentration of the wellbore is constant during the injection period. In this study, a new mathematical model to describe radial solute transport of the injection well is proposed considering both the mixing effect and scale effect. The analytical solution is derived by the Laplace transform and Stehfest numerical inversion method. The linear dispersion model with mixing effect (LDM) is compared with the linear dispersion model with no-mixing effect (LDNM) to illustrate the mixing effect and the scale effect. Moreover, the robustness of the new model is tested using the experimental data. The results show that mixing effect and scale effect have a great influence on radial solute transport. Specifically, the greater mixing effect results in the lower the breakthrough curves (BTCs) in both wellbore and aquifer, the longer time for the solute concentration to reach its peak. With the well radius increasing, the difference between the models with and without mixing effect is more obvious. Additionally, with the increase of scale-dependent dispersion, the arrival time of the BTC peak values decreases. LDM (linear dispersion model with mixing effect) is more reasonable than LDNM (linear dispersion model with no-mixing effect) in describing radial solute transport.
- mixing effect,
- scale-dependent dispersion,
- radial solute transport,
- aquifer remediation,
- hydrogeology

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References

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Effect of Mixing Effect and Scale-Dependent Dispersion for Radial Solute Transport near the Injection Well

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