地下水溶质反常运移的分数阶对流扩散模型研究进展

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Abstract Solute transport in underground heterogeneous porous media does not always follow Fick's law of diffusion and is thus called anomalous diffusion or transport. The transport is essentially a kind of non-Markovian and nonlocal process. Fractional advection-diffusion models can provide an adequate and accurate description of this transport of solute in an aquifer. After illustrating the fundamental problems of anomalous solute transport in groundwater and its dynamics mechanism, we reviewed three types of fractional advection-diffusion models, i.e., the space, time, and distributed-order fractional advection-diffusion ones, and also discussed the prospect and challenges in the application of fractional advection-diffusion models to anomalous solute transport in groundwater in detail.

Key words： heterogeneity scale effect anomalous transport fractal theory continuous-time random walk fractional advection-diffusion model

Received: 05 May 2022

PACS:	X523
	P641.2

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	WANG Jing-rui
	ZHAO Jian-shi
	HU Shi-ruo

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WANG Jing-rui,ZHAO Jian-shi,HU Shi-ruo. Advances in fractional advection-diffusion models for anomalous solute transport in groundwater[J]. CHINA ENVIRONMENTAL SCIENCECE, 2022, 42(12): 5845-5855.

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http://www.zghjkx.com.cn/EN/ OR http://www.zghjkx.com.cn/EN/Y2022/V42/I12/5845

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