Tides in water saturated rock

  • Hans-Joachim Kümpel
Tidally Induced Phenomena
Part of the Lecture Notes in Earth Sciences book series (LNEARTH, volume 66)


Analysis of water table records from wells or boreholes often reveals the presence of tidal fluctuations. Amplitudes of ‘well tides’ can attain several centimeters when the well or borehole is open to a confined aquifer. The phenomenon reflects extension and compression cycles of the aquifer rock, i.e. volume strain tides of a water saturated formation. Besides tidal fluctuations, barometric pressure changes and pure loading effects may be observed in well level records. If the forcing functions are known, these signals can be used to constrain petrohydraulic aquifer parameters of the connected formations. Linear poroelasticity is the commonly used rheology to describe the underlying physical process; or elastic deformation of fluid filled fractures in case of low permeable rock with a few fractures that are open to the well.


Pore Pressure Pore Fluid Excess Pore Pressure Tidal Fluctuation Hydraulic Diffusivity 
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  1. Abramowitz, M., and Stegun, I.A. (Eds.), 1964. Handbook of Mathematical Functions, Appl. Math. Ser. 55, U.S. National Bureau of Standards, Gaithersburg, Md.Google Scholar
  2. Biot, M.A., 1941. General theory of three-dimensional consolidation. J. Applied Physics 1.12: 155–164.Google Scholar
  3. Beaumont, C., and Berger, J., 1975. An analysis of tidal strain observations from the United States of America, I. The laterally homogeneous tide. Bull. Seismol. Soc. Am. 66: 1613–1629.Google Scholar
  4. Beavan, J., Evans, K., Mousa, S., and Simpson, D., 1991. Estimating aquifer parameters from analysis of forced fluctuations in well level: An example from the Nubian Formation near Aswuan, Egypt; 2. Poroelastic properties. J. Geophys. Res., 96: 12,139–12,160.Google Scholar
  5. Bodvarsson, G., 1970. Confined fluids as strain meters. J. Geophys. Res. 75: 2711–2718.Google Scholar
  6. Bower, D.R., 1983. Bedrock fracture parameters from the interpretation of well tides. J. Geophys. Res. 88: 5025–5035.Google Scholar
  7. Brown, R.J.S., and Korringa, J., 1975. On the dependence of the elastic properties of a porous rock on the compressibility of the pore fluid. Geophysics 40: 608–616.Google Scholar
  8. Büyükköse, N., Kümpel, H.-J., Westerhaus, M., and Zschau, J., 1989. Well level data at six multi-parameter stations in the Mudurnu-Abant Valley. In: Turkish-German Earthquake Research Project, J. Zschau and O. Ergünay (eds.), Inst. of Geophysics, Univ. of Kiel, 74–81.Google Scholar
  9. Duguid, J.O., and Lee, P.C.Y, 1977. Flow in fractured porous media. Water Resour. Res. 13: 558–566.Google Scholar
  10. Endom, J., and Kümpel, H.-J., 1994. Analysis of natural well level fluctuations in the KTB-Vorbohrung: Parameters from poroelastic aquifer and single fracture models. Scientific Drilling 4: 147–162.Google Scholar
  11. Evans, K., Beavan, J., Simpson, D., and Mousa, S. 1991: Estimating aquifer parameters from analysis of forced fluctuations in well level: An example from the Nubian Formation near Aswuan, Egypt; 3. Diffusivity estimates for saturated and unsaturated zones. J. Geophys. Res. 96: 12,161–12,191.Google Scholar
  12. Gupta, H.K., Kümpel, H.-J., Radhakrishna, I., Chadha, R.K., and Grecksch, G., 1996. In-situ pore pressure studies in an area of continuously high induced seismicity. IASPEI Regional Assembly in Asia (abstract), Aug. 1996, Tangshan, China.Google Scholar
  13. Hanson, J.M., 1983. Evaluation of subsurface fracture geometry using fluid pressure response to solid earth tidal strain. Terra Tek Research Techn. Report 83–26, Salt Lkae City, Utah.Google Scholar
  14. Hsieh, P.A., Bredehoeft, J.D., and Farr, J.M., 1987. Determination of aquifer transmissivity from earth tide analysis. Water Resour. Res. 23: 1824–1832.Google Scholar
  15. Kümpel, H.-J., 1991. Poroelasticity-parameters reviewed. Geophys. J. Int. 105: 783–799.Google Scholar
  16. Kümpel, H.-J., 1992. About the potential of wells to reflect stress variations within inhomogeneous crust. Tectonophysics 211: 317–336.Google Scholar
  17. Nur, A., and Byerlee, J.D., 1971. An exact effective stress law for elastic deformation of rock with fluids. J. Geophys. Res. 76: 6414–6419.Google Scholar
  18. Quilty, E.G., and Roeloffs, E.A., 1991. Removal of barometric pressure response from water level data. J. Geophys, Res. 96: 10,209–10,218.Google Scholar
  19. Rice, J.R., and Cleary, M.P., 1976. Some basic stress diffusion solutions for fluid-saturated elastic porous media with compressible constituents. Rev. Geophys. and Space Phys. 14: 227–241.Google Scholar
  20. Roeloffs, E.A., 1996. Poroelastic techniques in the study of earthquake-related hydrologic phenomena. Advances in Geophysics 37: 135–195.Google Scholar
  21. Roeloffs, E.A., Schulz Burford, S., Riley, F.S., and Records, A.W., 1989. Hydrologic effects on water level changes associated with episodic fault creep near Parkfield, California. J. Geophys. Res. 94: 12,387–12,402.Google Scholar
  22. Rojstaczer, S., 1988a. Intermediate period response of water levels in wells to crustal strain: sensitivity and noise level. J. Geophys. Res. 93: 13,619–13,634.Google Scholar
  23. Rojstaczer, S., 1988b. Determination of fluid flow properties from the response of water levels in wells to atmospheric loading. Water Resour. Res. 24: 1927–1938.Google Scholar
  24. Rojstaczer, S., and Agnew, D.C., 1989. The influence of formation material properties on the response of water levels in wells to earth tides and atmospheric loading. J. Geophys. Res. 94: 12,403–12,411.Google Scholar
  25. Terzaghi, K., 1923. Die Berechnung der Durchlässigkeitsziffer des Tones aus dem Verlauf der hydrodynamischen Spannungserscheinungen. Sitzungsber. Akad. Wiss. Wien, Math-Naturwiss. Kl., Abt. IIA, Nr. 132, 125–138.Google Scholar
  26. Theis, C.V., 1935. The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage. EOS, Trans. Am. Geophys. Un. 16: 519–524.Google Scholar
  27. Wang, H., 1993. Quasi-static poroelastic parameters in rock and their geophysical applications. Pure Appl. Geophys. 141: 269–286.Google Scholar
  28. Wenzel, H.-G., 1993. Earth tide analysis program system ETERNA, Vers. 3.0, Manual. Geod. Inst., Univ. Karlsruhe.Google Scholar

Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • Hans-Joachim Kümpel
    • 1
  1. 1.Geological Institute - Section Applied GeophysicsUniversity of BonnBonn

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