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Hydraulic diffusivity in a coastal aquifer: spectral analysis of groundwater level in responses to marine system

  • David Ching-Fang Shih
Original Paper

Abstract

The hydraulic diffusivity gives a measure of diffusion speed of pressure disturbances in groundwater system; large values of hydraulic diffusivity lead to fast propagation of signals in aquifer. This research provides a novel design and derives spectral representation to determine hydraulic diffusivity using spectral analysis of groundwater levels coupled with time-dependent boundary adjacent to marine system and no flow boundary in aquifer system. To validate the proposed method, water levels of fluctuated boundary and groundwater well in a sandy confined aquifer were collected. The hydraulic diffusivity is then obtained by an inverse process in the non-linear complex form of spectral relationship. The method essentially is constructed on the conceptual design of natural forcing transmitted in large aquifer. It is unlike the conventional field pumping test which is only used to determine hydraulic properties of groundwater in small range around the well. Hydraulic diffusivity of the confined aquifer is determined using real observation and then checked by comparing to the published range. It suggests that without local aquifer test to estimate hydraulic diffusivity in a coastal aquifer using spectral representation with its relevant flow system and boundary has become feasible.

Keywords

Hydraulic diffusivity Groundwater Spectral analysis Tide 

Notes

Acknowledgements

The author thanks Central Weather Bureau for providing useful data to complete this research.

References

  1. Batu V (1998) Aquifer hydraulics: a comprehensive guide to hydrogeologic data analysis. Wiley, New YorkGoogle Scholar
  2. Bendat JS, Piersol AG (2000) Random data: analysis and measurement procedures, 3rd edn. Wiley, New YorkGoogle Scholar
  3. Bloomfield P (1976) Fourier analysis of time series: an introduction. Wiley, New York, pp 80–87Google Scholar
  4. Davis SN (1969) Porosity and permeability of natural materials. In: DeWiest RJM (ed) Flow through porous media. Academy Press, New York, pp 54–89Google Scholar
  5. Driscoll FG (1986) Groundwater and wells. Johnson Filtration System Inc., St. Paul, Minnesota, pp 67–75Google Scholar
  6. Freeze RA, Cherry JA (1979) Groundwater. Prentice Hall, New Jersey, pp 29–60Google Scholar
  7. Godin G (1972) The analysis of tides. University of Toronto Press, Toronto and BuffaloGoogle Scholar
  8. Heath RC (1983) Basic ground-water hydrology. US geological survey water-supply paper 2220Google Scholar
  9. IMSL (2006) Fortran numerical library (version 6.0). Visual numerics, Inc., HoustonGoogle Scholar
  10. Li HL, Li GY, Cheng JM, Boufadel MC (2007) Tide-induced head fluctuations in a confined aquifer with sediment covering its outlet at the sea floor. Water Resour Res 43:W03404Google Scholar
  11. McWhorter DB, Sunada DK (1993) Ground-water hydrology and hydraulics. Water Resources Publications, Colorado, pp 177–178Google Scholar
  12. Morris DA, Johnson AI (1967) Summary of hydrologic and physical properties of rock and soil material as analyzed by the hydrologic laboratory of the US Geological Survey. US geological survey supply paper 1839-DGoogle Scholar
  13. Shih DCF (1999a) Determination of hydraulic diffusivity of aquifers by spectral analysis. Stoch Environ Res Risk Assess 13(1/2):85–99CrossRefGoogle Scholar
  14. Shih DCF (1999b) Inverse solution of hydraulic diffusivity determined by water level fluctuation. J Am Water Resour Assoc 35(1):37–47CrossRefGoogle Scholar
  15. Shih DCF (2000) Applicability of spectral analysis to determine hydraulic diffusivity. Stoch Environ Res Risk Assess 14(2):91–108CrossRefGoogle Scholar
  16. Shih DCF (2002) Identification of phase propagation of water level in tidal river by spectral analysis. Stoch Environ Res Risk Assess 16(6):449–463CrossRefGoogle Scholar
  17. Shih DCF (2009) Storage in a confined aquifer: spectral analysis of groundwater responses to seismic Rayleigh waves. J Hydrol 374:83–91CrossRefGoogle Scholar
  18. Shih DCF (2017) Groundwater storage inferred from earthquake activities around East Asia and West Pacific Ocean. J Hydrol 544:363–372CrossRefGoogle Scholar
  19. Shih DCF, Lin GF (2002) Spectral analysis of water level in aquifers. Stoch Environ Res Risk Assess 16(5):374–398CrossRefGoogle Scholar
  20. Shih DCF, Lin GF (2004) Application of spectral analysis to determine hydraulic diffusivity of a sandy aquifer (Pingtung County, Taiwan). Hydrol Process 18:1655–1669CrossRefGoogle Scholar
  21. Shih DCF, Chiou KF, Lee CD, Wang IS (1999) Spectral responses of water level in groundwater and tidal river. Hydrol Process 13(6):889–911CrossRefGoogle Scholar
  22. Shih DCF, Lee CD, Chiou KF, Tsai SM (2000) Spectral analysis of tidal fluctuations in ground water level. J Am Water Resour Assoc 36(5):1087–1100CrossRefGoogle Scholar
  23. Shih DCF, Lin GF, Wu YM, Jia YP, Chen YG (2008) Spectral decomposition of periodic ground water fluctuation in a coastal aquifer. Hydrol Process 22:1755–1765CrossRefGoogle Scholar
  24. Shih DCF, Wu YM, Chang CH (2013) Significant coherence for groundwater and Rayleigh waves: evidence in spectral response of groundwater level in Taiwan using 2011 Tohoku earthquake, Japan. J Hydrol 486:57–70CrossRefGoogle Scholar
  25. Todd DK (1980) Groundwater hydrology, 2nd edn. Wiley, New YorkGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Institute of Nuclear Energy ResearchAECLongtanTaiwan, ROC
  2. 2.Department of Hydraulic and Ocean EngineeringNational Cheng Kung UniversityTainanTaiwan, ROC

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