Abstract
The well water level in a deep well has significant frequency dependence on various crustal stresses, which can provide an effective pathway for determining the well-aquifer properties and investigating the response mechanism of groundwater. However, due to the limitations and complexity of the field conditions, there is a lack of on-site stress–strain data for rocks. Therefore, it is difficult to directly and quantitatively interpret the transfer response between the strain–stress and the well water level. The observation item data for the LJ well in China are relatively complete, including rainfall, barometric pressure, volumetric strain and deep water level data. By calculating the spectral period, spectral density, coherence function and transfer function of various physical variables, the spectrum response characteristics of the well-aquifer system to various stresses can be effectively obtained. When the crust is in a relatively stable state, the semidiurnal and diurnal waves are dominant. Moreover, the transfer functions of the well water level’s response to the theoretical semidiurnal and diurnal Earth tides and the barometric pressure are basically consistent with the correlation analysis results. In addition, when earthquakes occur, the signals of the volumetric strain and the well water level can more effectively highlight the relatively intermediate- and high-frequency information. The transfer function between the well water level and the volumetric strain is nearly an order of magnitude smaller than that in the stable state, indicating that the hydrogeological conditions of the LJ well-aquifer change instantaneously when subjected to seismic waves. All the above conclusions show that the correlation and transfer function based on spectral analysis is a feasible and advantageous method of determining the correlation of various physical variables. These results provide a foundation for further research on the hydrogeological characteristics of aquifers.
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References
Bendat, J. S., & Piersol, A. G. (1991). Random data: Analysis and measurement procedures. New York: Wiley.
Brodsky, E. E., Roeloffs, E., Woodcock, D., Gall, I., & Manga, M. (2003). A mechanism for sustained groundwater pressure changes induced by distant earthquakes. Journal of Geophysical Research, 108(B8), 2390. https://doi.org/10.1029/2002JB002321.
Che, Y. T., Liu, C. L., Yu, J. Z., Guan, Z. J., & Li, J. (2008). Underground fluid anomaly and macro anomaly of Ms 8.0 Wenchuan earthquake and opinions about earthquake prediction. Seismology and Geology, 30(4), 828–838.
Chia, Y., Wang, Y.-S., Chiu, J. J., & Liu, C.-W. (2001). Changes of groundwater level due to the 1999 Chi–Chi earthquake in the Choshui River alluvial fan in Taiwan. Bulletin of the Seismological Society of America, 91(5), 1062–1068.
Cooper, H. H., Bredehoeft, J. D., Papadopulos, I. S., & Bennett, R. R. (1965). The response of well-aquifer systems to seismic wave. Journal of Geophysical Research, 70, 3915–3926.
Doan, M. L., Brodsky, E. E., Prioul, R., & Signer, C. (2006). Tidal analysis of borehole pressure—a tutorial (p. 27). University of California, Santa Cruz, pp 25
Elkhoury, J. E., Brodsky, E. E., & Agnew, D. C. (2006). Seismic waves increase permeability. Nature, 441(29), 1135–1138. https://doi.org/10.1038/nature04798.
Elkhoury, J. E., Niemeijer, A., Brodsky, E. E., & Marone, C. (2011). Laboratory observations of permeability enhancement by fluid pressure oscillation of in situ fractured rock. Journal of Geophysical Research, 116, B02311. https://doi.org/10.1029/2010JB007759.
Faoro, I., Elsworth, D., & Marone, C. (2012). Permeability evolution during dynamic stressing of dual permeability media. Journal of Geophysical Research: Solid Earth, 117(B1), B01310. https://doi.org/10.1029/2011JB008635
Hsieh, P. A., Bredehoeft, J. D., & Rojstaczer, S. A. (1988). Response of well aquifer systems to Earth tides: Problem revisited. Water Resources, 23(10), 1824–1832.
Kitagawa, Y., Itaba, S., Matsumoto, N., & Koizumi, N. (2011). Frequency characteristics of the response of water pressure in a closed well to volumetric strain in the high-frequency domain. Journal of Geophysical Research, 116, B08301. https://doi.org/10.1029/2010JB007794.
Lai, G., Ge, H., & Wang, W. (2013). Transfer functions of the well‐aquifer systems response to atmospheric loading and Earth tide from low to high‐frequency band. Journal of Geophysical Research: Solid Earth, 118(5), 1904–1924. https://doi.org/10.1002/jgrb.50165
Lai, G., Ge, H., & Wang, W. (2013). Transfer functions of the well-aquifer systems response to atmospheric loading and Earth tide from low to high-frequency band. Journal of Geophysical Research: Solid Earth, 118, 1904–1924. https://doi.org/10.1002/jgrb.50165.
Liu, W., & Manga, M. (2009). Changes in permeability caused by dynamic stresses in fractured sandstone. Geophysical Research Letters, 36, L20307. https://doi.org/10.1029/2009GL039852.
Matsumoto, N., & Roeloffs, E. A. (2003). Hydrological response to earthquakes in the Haibara well, central Japan–II. Possible mechanism inferred from time-varying hydraulic properties. Geophysical Journal International, 155, 899–913.
Oppenheim, A. V., & Schafer, R. W. (1989). Discrete-time signal processing. Englewood Cliffs: Prentice Hall.
Quilty, E. G., & Roeloffs, E. A. (1997). Water-level changes in response to the 20 December 1994 earthquake near Parkfield, California. Bulletin of the Seismological Society of America, 87(2), 310–317.
Rojstaczer, S., & Riley, F. S. (1990). Response of the water level in a well to Earth tides and atmospheric loading under unconfined conditions. Water Resources Research, 26(8), 1803–1817. https://doi.org/10.1029/WR026i008p01803.
Rojstaczer, S., Wolf, S., & Michel, R. (1995). Permeability enhancement in the shallow crust as a cause of earthquake-induced hydrological changes. Nature, 373(19), 237–239. https://doi.org/10.1038/37323.
Shi, Y., Liao, X., Zhang, D., & Liu, C.-P. (2019). Seismic waves could decrease the permeability of the shallow crust. Geophysical Research Letters. https://doi.org/10.1029/2019GL081974.
Shi, Z., & Wang, G. (2017). Evaluation of the permeability properties of the Xiaojiang Fault Zone using hot springs and water wells. Pure and Applied Geophysics, 170(11), 1773–1783. https://doi.org/10.1007/s00024-012-0606-1.
Shi, Z., Wang, G., Liu, C., Mei, J., Wang, J., & Fang, H. (2013). Co-seismic response of groundwater level in the Three Gorges well network and its relationship to aquifer parameters. Chinese Science Bulletin, 527(58), 3080–3087.
Shih, D. C.-F. (1999a). Determination of hydraulic diffusivity of aquifers by spectral analysis. Stochastic Environmental Research and Risk Assessment13(1/2), 85–99
Shih, D. C.-F. (1999b). Inverse solution of hydraulic diffusivity determined by water level fluctuation. The Journal of the American Water Resources Association, 35(1), 37–47.
Shih, D. C.-F. (2009). Storage in a confined aquifer: Spectral analysis of groundwater responses to seismic Rayleigh waves. Journal of Hydrology., 374, 83–91.
Shih, D. C.-F. (2018). Hydraulic diffusivity in a coastal aquifer: Spectral analysis of groundwater level in responses to marine system. Stochastic Environmental Research and Risk Assessment, 32, 311–320.
Shih, D. C.-F. (2018). Storage in confined aquifer: Spectral analysis of groundwater in responses to Earth tides and barometric effect. Hydrological Processes, 32, 1927–1935.
Shih, D. C.-F., & Lin, G. F. (2002). Spectral analysis of water level fluctuations in aquifers. Stochastic Environmental Research and Risk Assessment, 16(5), 374–398.
Shih, D. C.-F., Lin, G.-F., Jia, Y.-P., Chen, Y. G., et al. (2008). Spectral decomposition of periodic groundwater fluctuation in a coastal aquifer. Hydrological Processes, 22, 1755–1765. https://doi.org/10.1002/hyp.6781.
Shih, D. C.-F., Wu, Y. M., & Chang, C. H. (2013). Significant coherence for groundwater and Rayleigh waves: Evidence in spectral response of groundwater level in Taiwan using 2011 Tohoku earthquake, Japan. Journal of Hydrology, 486, 57–70.
Stoica, P., & Moses, R. L. (1997). Introduction to spectral analysis. Upper Saddle River: Pearson Education.
Sun, X., Xiang, Y., & Shi, Z. (2018). Estimating the hydraulic parameters of a confined aquifer based on the response of groundwater levels to seismic Rayleigh waves. Geophysical Journal International, 213, 919–930. https://doi.org/10.1093/gji/ggy036.
Wakita, H. (1975). Water wells as possible indicators of tectonic strain. Science, 189(4202), 553–555. https://doi.org/10.1126/science.189.4202.553.
Wang, C.-Y., Cheng, L. H., Chin, C. V., & Yu, S. B. (2001). Coseismic hydrologic response of an alluvial fan to the 1999 Chi-Chi earthquake, Taiwan. Geology, 29, 831–834. https://doi.org/10.1029/2008GL034227.
Wang, C.-Y., Chia, Y., et al. (2009). Role of S waves and Love waves in coseismic permeability enhancement. Geophysical Research Letters, 36, L09404. https://doi.org/10.1029/2009GL037330.
Wang, C.-Y., & Manga, M. (2012). Earthquakes and Water. Earth Sciences. https://doi.org/10.1007/978-3-642-00810-8.
Xin, L., Wang, C.-Y., & Liu, C.-P. (2015). Disruption of groundwater systems by earthquakes. Geophysical Research Letters, 42, 9758–9763. https://doi.org/10.1002/2015GL06639.
Acknowledgements
The original water level data supporting this article are from the National Earthquake Precursory Network Center. We greatly thank the anonymous reviewers for their helpful comments and suggestions. This work has been supported by the National Natural Science Foundation of China (41807180).
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Lan, Ss., Gu, Hb. & Zhao, Kx. Spectrum Response of LJ Well to Various Stresses During Non-seismic and Seismic Periods. Pure Appl. Geophys. 177, 5189–5206 (2020). https://doi.org/10.1007/s00024-020-02560-7
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DOI: https://doi.org/10.1007/s00024-020-02560-7