Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitard
<p>In recent years, there has been a growing interest in utilizing the groundwater response to Earth tides as a means of estimating subsurface properties. However, existing analytical models have been insufficient in accurately capturing realistic physical conditions. This study presents a new...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2024-02-01
|
| Series: | Hydrology and Earth System Sciences |
| Online Access: | https://hess.copernicus.org/articles/28/1041/2024/hess-28-1041-2024.pdf |
| _version_ | 1797290379237654528 |
|---|---|
| author | R. Valois R. Valois A. Rivière J.-M. Vouillamoz G. C. Rau |
| author_facet | R. Valois R. Valois A. Rivière J.-M. Vouillamoz G. C. Rau |
| author_sort | R. Valois |
| collection | DOAJ |
| description | <p>In recent years, there has been a growing interest in utilizing the groundwater response to Earth tides as a means of estimating subsurface properties. However, existing analytical models have been insufficient in accurately capturing realistic physical conditions. This study presents a new analytical solution to calculate the groundwater response to Earth tide strains, including storage and compressibility of the aquitard, borehole storage, and skin effects. We investigate the effects of aquifer and aquitard parameters on the well water response to Earth tides at two dominant frequencies (<span class="inline-formula"><i>O</i><sub>1</sub></span> and <span class="inline-formula"><i>M</i><sub>2</sub></span>) and compare our results with hydraulic parameters obtained from a pumping test. Inversion of the six hydro-geomechanical parameters from amplitude response and phase shift in both semi-diurnal and diurnal tides provides relevant information about aquifer transmissivity, storativity, well skin effect, aquitard hydraulic conductivity, and diffusivity. The new model is able to reproduce previously unexplained observations of the amplitude and frequency responses. We emphasize the usefulness in developing a relevant methodology to use the groundwater response to natural drivers in order to characterize hydrogeological systems.</p> |
| first_indexed | 2024-03-07T19:20:37Z |
| format | Article |
| id | doaj.art-08608e5b35744e49a0ff0b2989eea1ff |
| institution | Directory Open Access Journal |
| issn | 1027-5606 1607-7938 |
| language | English |
| last_indexed | 2024-03-07T19:20:37Z |
| publishDate | 2024-02-01 |
| publisher | Copernicus Publications |
| record_format | Article |
| series | Hydrology and Earth System Sciences |
| spelling | doaj.art-08608e5b35744e49a0ff0b2989eea1ff2024-02-29T10:37:14ZengCopernicus PublicationsHydrology and Earth System Sciences1027-56061607-79382024-02-01281041105410.5194/hess-28-1041-2024Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitardR. Valois0R. Valois1A. Rivière2J.-M. Vouillamoz3G. C. Rau4French Red Cross, 4 rue Diderot, Paris, FranceHydrogeology Lab, UMR EMMAH, University of Avignon, 74 rue Louis Pasteur, Avignon, FranceGeosciences Department, Mines Paris – PSL, 75272 Paris, FrancePhYRev lab, Univ. Grenoble Alpes, IRD, CNRS, INRAE, Grenoble INP, IGE, 38000 Grenoble, FranceSchool of Environmental and Life Sciences, The University of Newcastle, Callaghan, Australia<p>In recent years, there has been a growing interest in utilizing the groundwater response to Earth tides as a means of estimating subsurface properties. However, existing analytical models have been insufficient in accurately capturing realistic physical conditions. This study presents a new analytical solution to calculate the groundwater response to Earth tide strains, including storage and compressibility of the aquitard, borehole storage, and skin effects. We investigate the effects of aquifer and aquitard parameters on the well water response to Earth tides at two dominant frequencies (<span class="inline-formula"><i>O</i><sub>1</sub></span> and <span class="inline-formula"><i>M</i><sub>2</sub></span>) and compare our results with hydraulic parameters obtained from a pumping test. Inversion of the six hydro-geomechanical parameters from amplitude response and phase shift in both semi-diurnal and diurnal tides provides relevant information about aquifer transmissivity, storativity, well skin effect, aquitard hydraulic conductivity, and diffusivity. The new model is able to reproduce previously unexplained observations of the amplitude and frequency responses. We emphasize the usefulness in developing a relevant methodology to use the groundwater response to natural drivers in order to characterize hydrogeological systems.</p>https://hess.copernicus.org/articles/28/1041/2024/hess-28-1041-2024.pdf |
| spellingShingle | R. Valois R. Valois A. Rivière J.-M. Vouillamoz G. C. Rau Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitard Hydrology and Earth System Sciences |
| title | Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitard |
| title_full | Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitard |
| title_fullStr | Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitard |
| title_full_unstemmed | Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitard |
| title_short | Technical note: Analytical solution for well water response to Earth tides in leaky aquifers with storage and compressibility in the aquitard |
| title_sort | technical note analytical solution for well water response to earth tides in leaky aquifers with storage and compressibility in the aquitard |
| url | https://hess.copernicus.org/articles/28/1041/2024/hess-28-1041-2024.pdf |
| work_keys_str_mv | AT rvalois technicalnoteanalyticalsolutionforwellwaterresponsetoearthtidesinleakyaquiferswithstorageandcompressibilityintheaquitard AT rvalois technicalnoteanalyticalsolutionforwellwaterresponsetoearthtidesinleakyaquiferswithstorageandcompressibilityintheaquitard AT ariviere technicalnoteanalyticalsolutionforwellwaterresponsetoearthtidesinleakyaquiferswithstorageandcompressibilityintheaquitard AT jmvouillamoz technicalnoteanalyticalsolutionforwellwaterresponsetoearthtidesinleakyaquiferswithstorageandcompressibilityintheaquitard AT gcrau technicalnoteanalyticalsolutionforwellwaterresponsetoearthtidesinleakyaquiferswithstorageandcompressibilityintheaquitard |