the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Technical note: Novel analytical solution for groundwater response to atmospheric tides
Abstract. Subsurface hydraulic and geomechanical properties can be estimated from well water level responses to Earth and atmospheric tides. However, the limited availability of analytical solutions restricts the applicability of this approach to realistic field conditions. We present a new and rigorous analytical solution for modelling flow between a subsurface-well system caused by harmonic atmospheric loading. We integrate this into a comprehensive workflow that also estimates subsurface properties using a well-established Earth tide method. When applied to groundwater monitoring datasets obtained from two boreholes screened in a sand aquifer in the Mary-Wildman Rivers region (Northern Territory, Australia), estimated hydraulic conductivity and specific storage agree. Results also indicate that small vertical leakage occurs in the vicinity of both boreholes. Furthermore, the estimated geomechanical properties were within the values reported in literature for similar lithological settings. Our new solution extends the capabilities of existing approaches, and our results demonstrate that analysing the groundwater response to natural tidal forces is a low-cost and readily available solution for unconsolidated, hydraulically confined, and undrained subsurface conditions. This approach can support well-established characterisation methods, increasing the amount of subsurface information.
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Notice on discussion status
The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.
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Preprint
(2839 KB)
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The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.
- Preprint
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- Final revised paper
Journal article(s) based on this preprint
Interactive discussion
Status: closed
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RC1: 'Comment on egusphere-2023-642', Anonymous Referee #1, 20 May 2023
The authors present a new analytical solution for modelling flow between a subsurface-well system caused by harmonic atmospheric loading. They integrate this into a comprehensive workflow that also estimates subsurface properties using a well-established Earth tide method. The method is applied to two wells in Australia to estimate hydraulics parameters and compare with the results calculated in the literature. The details could be found in the attached .pdf file.
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- AC1: 'Reply on RC1', Jose Bastias, 25 Jul 2023
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RC2: 'Comment on egusphere-2023-642', Anonymous Referee #2, 11 Jun 2023
Overall, the manuscript is well written. The authors porposaed "mean stress solution" by introducing Biot's consolidation theory to estimate the groundwater fluctuation due to tidal loading.
I have the following comments for the authors consider in the revision:
(1) Â Line 110, it is state "Biot's consolidation theory assume \varepsion =0 when undrained condition. Why? please add reference.
(2) Line 114: Â The assumption "exp(iwt)" implies only the first-order approximation is adopted. This requires justification.
(3)  The asusmption  of "Mean stress" needs justification.
(4) In this note, only tow borehole data are used. Â As shown in Figure 5(c), two data point is obviously insufficient. The authors may need to add more data points.
Citation: https://doi.org/10.5194/egusphere-2023-642-RC2 - AC2: 'Reply on RC2', Jose Bastias, 25 Jul 2023
Interactive discussion
Status: closed
-
RC1: 'Comment on egusphere-2023-642', Anonymous Referee #1, 20 May 2023
The authors present a new analytical solution for modelling flow between a subsurface-well system caused by harmonic atmospheric loading. They integrate this into a comprehensive workflow that also estimates subsurface properties using a well-established Earth tide method. The method is applied to two wells in Australia to estimate hydraulics parameters and compare with the results calculated in the literature. The details could be found in the attached .pdf file.
Â
- AC1: 'Reply on RC1', Jose Bastias, 25 Jul 2023
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RC2: 'Comment on egusphere-2023-642', Anonymous Referee #2, 11 Jun 2023
Overall, the manuscript is well written. The authors porposaed "mean stress solution" by introducing Biot's consolidation theory to estimate the groundwater fluctuation due to tidal loading.
I have the following comments for the authors consider in the revision:
(1) Â Line 110, it is state "Biot's consolidation theory assume \varepsion =0 when undrained condition. Why? please add reference.
(2) Line 114: Â The assumption "exp(iwt)" implies only the first-order approximation is adopted. This requires justification.
(3)  The asusmption  of "Mean stress" needs justification.
(4) In this note, only tow borehole data are used. Â As shown in Figure 5(c), two data point is obviously insufficient. The authors may need to add more data points.
Citation: https://doi.org/10.5194/egusphere-2023-642-RC2 - AC2: 'Reply on RC2', Jose Bastias, 25 Jul 2023
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Jose M. Bastias Espejo
Chris Turnadge
Russell S. Crosbie
Philipp Blum
Gabriel C. Rau
The requested preprint has a corresponding peer-reviewed final revised paper. You are encouraged to refer to the final revised version.
- Preprint
(2839 KB) - Metadata XML