Skip to main content Accessibility help
×
Home

Inversion of borehole-response test data for estimation of subglacial hydraulic properties

  • Dan B. Stone (a1), Garry K. C. Clarke (a2) and Robert G. Еllis (a2)

Abstract

Response tests are widely used in ground-water studies to assess the hydraulic properties of sub-surface water-flow systems. The simplicity of such tests also makes them attractive for investigation of subglacial hydraulic conditions. This paper describes a systematic, quantitative approach to the analysis of borehole-response test data. The approach uses the theoretical model of Stone and Clarke (1993), which describes water motion in a coupled borehole—subglacial flow system; this framework provides the basis for an inversion scheme that is focused on quantifying physical properties of the basal-flow system, as it is characterized in the theoretical model. The inversion procedure was applied to response-test data from Trapridge Glacier, Yukon Territory, Canada. Results of the inversions suggest that the subglacial drainage network can be described as a confined layer comprising coarse-sand-to fine-gravel-sized sediments, having a thickness of 0.1 – 0.3 m, and a hydraulic conductivity of about 5 × 10−4ms−1. Based on the water-drainage rates from boreholes, as they connect with the subglacial water-flow system, specific storage of the sediment layer was estimated to be approximately 1 × 10−4m−1. Further consideration of subglacial water-flow conditions suggests that connection drainage test results may tend to underestimate specific storage of the overall glacier substrate.

  • View HTML
    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Inversion of borehole-response test data for estimation of subglacial hydraulic properties
      Available formats
      ×

      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Dropbox.

      Inversion of borehole-response test data for estimation of subglacial hydraulic properties
      Available formats
      ×

      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your <service> account. Find out more about sending content to Google Drive.

      Inversion of borehole-response test data for estimation of subglacial hydraulic properties
      Available formats
      ×

Copyright

References

Hide All
Carman,, P. C. 1956. Flow of gases through porous media . London. Butterworths Scientific.
Carrera,, J. and Neuman., S.P. 1986. Estimation of aquifer parameters under transient and steady state conditions. 1. Maximum likelihood method incorporating prior information. Water Resour. Res., 22(2), 199210.
Clarke,, G.K.C. 1987. Subglacial till: a physical framework for its properties and processes. J. Geophys. Res., 92(B9), 90239036.
Cooper,, H.H. Jr., Bredehoeft, J.D., Papadopulos, I.S. and Bennett, R. R. 1965. The response of well-aquifer systems to seismic waves. J. Geophys. Res., 70(16), 39153926.
Engelhardt,, H. 1978. Water in glaciers: observations and theory of the behaviour of water levels in boreholes. Z. Gletscherkd. Glazialgeol., 14(1), 3560.
Engelhardt,, H., Humphrey, N. and Kamb, B. 1990. Borehole geophysical observations on Ice Stream B, Antarctica. Antarct. J. U.S., 25(5), 8082.
Fountain,, A.G. 1994. Borehole water-level variations and implications for the subglacial hydraulics of South Cascade Glacier, Washington State U.S.A. J. Glaciol., 40(135), 293304.
Freeze,, R.A. and Cherry, J. A. 1979. Groundwater . Engelwood Cliffs, NJ, Prentice-Hall.
Hairer,, Ε. and Wanner, G. 1991. Solving ordinary differential equations II: stiff and differential-algebraic problems . Berlin, Springer-Verlag.
Harvey,, C.F. 1992. What does a slug test measure in a heterogeneous aquifer? [Abstract.] EOS, 73(43), Supplement, 215.
Hodge,, S. M. 1976. Direct measurement of basal water pressures: a pilot study. J. Glaciol., 16(74), 205218.
Hubbard,, B. P., Sharp., M.J. Willis, I. C, Nielsen, M. K. and Smart, C. C. 1995. Borehole water-level variations and the structure of the subglacial hydrological system of Haut Glacier d’Arolla, Valais, Switzerland. J. Glaciol., 41(139) 572583.
Iken,, A., Fabri, K. and Funk, M. 1996. Water storage and subglacial drainage conditions inferred from borehole measurements on Gornergletscher, Valais, Switzerland. J. Glaciol., 42(141), 233248.
Kahaner,, D., Moler, C. Ε and Nash, S. 1989. Numerical methods and software . Englewood Cliffs. NJ, Prentice-Hall.
Kamp,, G. van der. 1976. Determining aquifer transmissivity by means of Well response tests: the underdamped case. Water Resour. Res., 12(1), 7177.
Kipp,, K. L. 1985. Type curve analysis of inertial effects in the response of a well to a slug test. Water Resour. Res., 21 (9), 13971408.
Marsily., G. de. 1986. Quantitative hydrogeology. San Diego, CA, Academic Press Inc.
Menke,, W. 1989. Geophysical data analysis: discrete inverse theory. Revised edition. New York, Academic Press. (International Geophysical Series 45.)
Murray,, T. and Clarke,, G.K.C. 1995. Black-box modeling of the subglacial water system. J. Geophys. Res., 100(B7), 10, 23110, 245.
Papadopulos,, I. S., Bredehoeft, J. D. and Cooper,, H. H. Jr., 1973. On the analysis of slug test data. Water Resour. Res., 9(4), 10871089.
Press,, W. H., Flannery, B. P., Teukolsky, S. A. and Vetterling., W.T. 1989. Numerical recipes; the art o f scientific computing (Fortran version). Cambridge, Cambridge University Press.
Stone,, D. B. and Clarke., G. K. C. 1993. Estimation of subglacial hydraulic properties from induced changes in basal water pressure: a theoretical framework for borehole-response tests. J. Glaciol., 39(132), 327340.
Tikhonov,, A.N. and Arsenin., Y.Y. 1977. Solutions of ill-posed problems. Washington, DC, V.H. Winston and Sons.
Waddington,, B. S. and Clarke., G. K. C. 1995. Hydraulic properties of subglacial sediment determined from the mechanical response of water-filled boreholes. J. Glaciol., 41 (137), 112124.
Walder,, J.S. and Fowler, A. 1994. Channelized subglacial drainage over a deformable bed. J. Glaciol., 40 (134), 315.
Yeh., W.W. -G. 1986. Review of parameter identification procedures in groundwater hydrology: the inverse problem. Water Resour. Res., 22(2), 95108.

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed