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The double packer permeameter with long packers. An approximate analytical solution

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Abstract

The hydraulic diffusivity and permeability of a rock mass can be measured with a double packer permeameter, placed in a long bore hole. If the flow is steady, the relation between supply pressure and flux is a measure of the permeability whereas if the flow is transient, the relation is a measure of both the hydraulic diffusivity of the rock and the elasticity of the equipment. If the equipment is effectively rigid and the axial extent of the packers is much bigger than the radius of the hole the solution is characterized byone parameter viz. the ratio between the distance between the packers and the radius of the hole and by a dimensionless time. An approximate closed transient solution for engineering purpose can be derived for a given supply flux but not for a given supply pressure.

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Abbreviations

b :

rise rate of the flux

C :

coefficients

H(t):

Heaviside step

K :

conductivity

m :

auxiliary variable

p,p n :

auxiliary functions

P,P n :

auxiliary functions

q′ c :

axial flux distribution between the packers

q c :

dimensionless axial flux distribution between the packers

Q′ :

flux

Q m :

maximum flux

Q :

dimensionless flux

r′,z′ :

radial and axial coordinates

r,z :

dimensionless radial and axial coordinates

r 0 :

radius of the hole

R d :

diffusion distance

s :

complex auxiliary variable

t′ :

time

t :

dimensionless time

u :

auxiliary variable

z 0 :

half the distance between the packers

z 1 −z 0 :

the axial extent of a packer

η :

auxiliary variable

λ :

auxiliary variable

φ′ :

hydraulic potential

φ :

dimensionless hydraulic potential

φ c :

dimensionless hydraulic potential between the packers

Ψ n :

auxiliary functions

Ω :

auxiliary function

References

  1. Hayashi, K., Ito, T. and Abe, H., A new method for the determination of in situ hydraulic properties by pressure pulse tests and applications to the Higashi geothermal field.J. Geophys. Res. 92 (1984) 9168–9174.

    Google Scholar 

  2. Rehbinder, G., The double packer permeameter with narrow packers. Analytical solution for non steady flow.Appl. Sci. Res. 56 (1996) 255–279.

    Google Scholar 

  3. Carslaw, H.S. and Jaeger, J.C.,Conduction of Heat in Solids. Oxford: Oxford University Press (1959).

    Google Scholar 

  4. Doetsch, G.,Tabellen zur Laplace-liansformation und Ableitung zum Gebrauch. Berlin: Springer-Verlag (1947).

    Google Scholar 

  5. Abramowitz, M. and Stegun, I.A.,Handbook of Mathematical Functions. New York: Dover (1970).

    Google Scholar 

  6. Gradshteyn, I.S. and Ryzhik, I.M.,Tables of Integrals, Series and Products. New York: Academic Press (1980).

    Google Scholar 

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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, The Royal Institute of Technology, S-100 44, Stockholm, Sweden

    G. Rehbinder

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  1. G. Rehbinder
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Rehbinder, G. The double packer permeameter with long packers. An approximate analytical solution. Appl. Sci. Res. 56, 281–297 (1996). https://doi.org/10.1007/BF02251035

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  • DOI: https://doi.org/10.1007/BF02251035

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