Articles | Volume 8, issue 4
https://doi.org/10.5194/esd-8-931-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Special issue:
https://doi.org/10.5194/esd-8-931-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
Fractal scaling analysis of groundwater dynamics in confined aquifers
Tongbi Tu
J. Amorocho Hydraulics Laboratory, Dept. of Civil and
Environmental Engineering, University of California, Davis, CA
95616, USA
J. Amorocho Hydraulics Laboratory, Dept. of Civil and
Environmental Engineering, University of California, Davis, CA
95616, USA
Hydrologic Research Laboratory, Dept. of Civil and
Environmental Engineering, University of California, Davis, CA
95616, USA
M. Levent Kavvas
J. Amorocho Hydraulics Laboratory, Dept. of Civil and
Environmental Engineering, University of California, Davis, CA
95616, USA
Hydrologic Research Laboratory, Dept. of Civil and
Environmental Engineering, University of California, Davis, CA
95616, USA
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Cited
17 citations as recorded by crossref.
- WITHDRAWN: Mapping the groundwater memory across Ireland: a step towards a groundwater drought susceptibility assessment P. Schuler et al. 10.1016/j.hydroa.2022.100131
- Mapping the groundwater memory across Ireland: A step towards a groundwater drought susceptibility assessment P. Schuler et al. 10.1016/j.jhydrol.2022.128277
- Time–space fractional governing equations of transient groundwater flow in confined aquifers: Numerical investigation T. Tu et al. 10.1002/hyp.11500
- Fractality in PM2.5 Concentrations During the Dry and Wet Season over Indo-Gangetic Plain, India A. Chelani & S. Gautam 10.1007/s11270-023-06521-3
- Assessing Scaling Behavior of Four Hydrological Variables Using Combined Fractal and Statistical Methods in Missouri River Basin S. Mehrab Amiri et al. 10.1007/s40996-021-00744-2
- Fractional governing equations of transient groundwater flow in unconfined aquifers with multi-fractional dimensions in fractional time M. Kavvas et al. 10.5194/esd-11-1-2020
- Groundwater level complexity analysis based on multifractal characteristics: a case study in Baotu Spring Basin, China S. Niu et al. 10.1007/s00704-023-04741-5
- Climate time series variability analysis of Islamabad Capital Territory using fractal dimension and Hurst exponent methods A. Khan et al. 10.1016/j.jastp.2024.106406
- Fractal domain refinement of models simulating hydrological time series A. Habib et al. 10.1080/02626667.2022.2084342
- A study on daily PM2.5 concentrations in Hong Kong using the EMD-based MFDFA method C. Zhang et al. 10.1016/j.physa.2019.121182
- Spatiotemporal Variation and Long-Range Correlation of Groundwater Levels in Odessa, Ukraine D. Melkonyan & S. Sugathan 10.3390/w16010147
- Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods S. Vahab & A. Sankaran 10.3390/fractalfract9010027
- Detection and characterization of scale-invariant behaviour and stochastic downscaling of terrestrial water storage anomalies from GRACE and GPS M. Ukasha et al. 10.1080/01431161.2024.2433752
- Multiscale multifractal assessment of sub-monthly hydrometeorological flash events in a tropical climate H. Millán et al. 10.1007/s00704-025-05419-w
- Towards flexible groundwater-level prediction for adaptive water management: using Facebook’s Prophet forecasting approach H. Aguilera et al. 10.1080/02626667.2019.1651933
- Fractal behaviour of benzene concentration near refinery, traffic junctions and residential locations in India A. Chelani 10.1016/j.apr.2023.101798
- Fractional governing equations of transient groundwater flow in confined aquifers with multi-fractional dimensions in fractional time M. Kavvas et al. 10.5194/esd-8-921-2017
16 citations as recorded by crossref.
- WITHDRAWN: Mapping the groundwater memory across Ireland: a step towards a groundwater drought susceptibility assessment P. Schuler et al. 10.1016/j.hydroa.2022.100131
- Mapping the groundwater memory across Ireland: A step towards a groundwater drought susceptibility assessment P. Schuler et al. 10.1016/j.jhydrol.2022.128277
- Time–space fractional governing equations of transient groundwater flow in confined aquifers: Numerical investigation T. Tu et al. 10.1002/hyp.11500
- Fractality in PM2.5 Concentrations During the Dry and Wet Season over Indo-Gangetic Plain, India A. Chelani & S. Gautam 10.1007/s11270-023-06521-3
- Assessing Scaling Behavior of Four Hydrological Variables Using Combined Fractal and Statistical Methods in Missouri River Basin S. Mehrab Amiri et al. 10.1007/s40996-021-00744-2
- Fractional governing equations of transient groundwater flow in unconfined aquifers with multi-fractional dimensions in fractional time M. Kavvas et al. 10.5194/esd-11-1-2020
- Groundwater level complexity analysis based on multifractal characteristics: a case study in Baotu Spring Basin, China S. Niu et al. 10.1007/s00704-023-04741-5
- Climate time series variability analysis of Islamabad Capital Territory using fractal dimension and Hurst exponent methods A. Khan et al. 10.1016/j.jastp.2024.106406
- Fractal domain refinement of models simulating hydrological time series A. Habib et al. 10.1080/02626667.2022.2084342
- A study on daily PM2.5 concentrations in Hong Kong using the EMD-based MFDFA method C. Zhang et al. 10.1016/j.physa.2019.121182
- Spatiotemporal Variation and Long-Range Correlation of Groundwater Levels in Odessa, Ukraine D. Melkonyan & S. Sugathan 10.3390/w16010147
- Multifractal Applications in Hydro-Climatology: A Comprehensive Review of Modern Methods S. Vahab & A. Sankaran 10.3390/fractalfract9010027
- Detection and characterization of scale-invariant behaviour and stochastic downscaling of terrestrial water storage anomalies from GRACE and GPS M. Ukasha et al. 10.1080/01431161.2024.2433752
- Multiscale multifractal assessment of sub-monthly hydrometeorological flash events in a tropical climate H. Millán et al. 10.1007/s00704-025-05419-w
- Towards flexible groundwater-level prediction for adaptive water management: using Facebook’s Prophet forecasting approach H. Aguilera et al. 10.1080/02626667.2019.1651933
- Fractal behaviour of benzene concentration near refinery, traffic junctions and residential locations in India A. Chelani 10.1016/j.apr.2023.101798
Discussed (final revised paper)
Latest update: 02 Apr 2025
Short summary
Groundwater level fluctuations in confined aquifer wells with long observations exhibit site-specific fractal scaling behavior, and the underlying distribution exhibits either non-Gaussian characteristics, which may be fitted by the Lévy stable distribution, or Gaussian characteristics. The estimated Hurst exponent is highly dependent on the length and the specific time interval of the time series. The MF-DFA and MMA analyses showed that different levels of multifractality exist.
Groundwater level fluctuations in confined aquifer wells with long observations exhibit...
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