The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores

Hou, Yusong; Jiang, Jian-Guo; Wu, Jichun

doi:10.1155/2018/8329406

Cited by 2 publications

(1 citation statement)

References 24 publications

(33 reference statements)

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“…The characteristics of the flow fields suggest that they are the bridges connecting the medium properties and the solute transport characteristics. It has been found that the mechanisms of many solute transport phenomena can be explained by analyzing the characteristics of the flow fields [38,39]. For example, previous studies have shown that the heterogeneity of a flow field has significant impacts on solute dilution.…”

Section: Mechanismmentioning

confidence: 99%

Using a Pore-Scale Modelling Approach to Study Solute Dilution Process through Cemented Porous Media

Hou

Liu

et al. 2022

Geofluids

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In this study, a pore-scale simulation method is applied to quantitatively study the variation of solute dilution through porous media with different cementation degrees and explore the corresponding mechanisms. The study results indicated that the cementation degrees of the solid grains had a significant effect on the solute dilution process and that the influence was very complicated. The complexity was manifested in that the effect of rising cementation degree on the solute dilution process would be different or even completely opposite in the porous media in which the solid grains cement slightly with that in porous media with a higher cementation degree. For example, for the porous media in which the solid grains were slightly cemented (the percentage of the cemented solid grains P c is less than 40%), the dilution effects became enhanced with the increase of cementation degree. Then, after P c increased to about 55%, the dilution effect was obviously weakened, and the solute was in an incomplete dilution state for a long period of time. In addition, this study found that the properties of the flow fields may vary greatly in porous media with different cementation degrees and that those differences in the flow fields resulted in the distinct behavior of the solute dilution. It is interesting to note that a more heterogeneous flow field had not necessarily led to the enhancement of the dilution process.

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Section: Mechanismmentioning

confidence: 99%

Using a Pore-Scale Modelling Approach to Study Solute Dilution Process through Cemented Porous Media

Hou

Liu

et al. 2022

Geofluids

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Mathematical model for conversion of groundwater flow from confined to unconfined aquifers with power law processes

Morakaladi

Atangana

2023

Open Geosciences

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In this work, we propose a mathematical model to depict the conversion of groundwater flow from confined to unconfined aquifers. The conversion problem occurs due to the heavy pumping of confined aquifers over time, which later leads to the depletion of an aquifer system. The phenomenon is an interesting one, hence several models have been developed and used to capture the process. However, one can point out that the model has limitations of its own, as it cannot capture the effect of fractures that exist in the aquitard. Therefore, we suggest a mathematical model where the classical differential operator that is based on the rate of change is substituted by a non-conventional one including the differential operator that can represent processes following the power law to capture the memory effect. Moreover, we revise the properties of the aquitard to evaluate and capture the behaviors of flow during the process in a different aquitard setting. Numerical analysis was performed on the new mathematical models and numerical solutions were obtained, as well as simulations for various fractional order values.

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The Form of Waiting Time Distributions of Continuous Time Random Walk in Dead-End Pores

Cited by 2 publications

References 24 publications

Using a Pore-Scale Modelling Approach to Study Solute Dilution Process through Cemented Porous Media

Using a Pore-Scale Modelling Approach to Study Solute Dilution Process through Cemented Porous Media

Mathematical model for conversion of groundwater flow from confined to unconfined aquifers with power law processes

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