Abstract
Measurement of the hydraulic coefficients of soil or rock is carried out with the aid of double packer conductivity meters in wells or boreholes. The evaluation of tests is based on the theory of creeping flow through a porous medium. The theory leads to a non-steady cylindrically and axially symmetric heat conduction problem in an infinity domain outside a circular hole with mixed boundary conditions. With the aid of a simple but efficient approximation, which describes the singularity of the boundary value, two of the three integrations in the solution can be evaluated in closed form. The analysis shows that the problem can be reduced to a simple Volterra integral equation, which is easily solved with numerical means. The solution is characterized by one single parameter, namely the aspect ratio of the cylindrical inner cavity.
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Rehbinder, G. Relation Between Non-Steady Supply Pressure and Flux for a Double Packer Conductivity Meter: An Approximate Analytical Solution. Flow Turbulence Combust 74, 1–20 (2005). https://doi.org/10.1007/s10494-005-2757-y
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DOI: https://doi.org/10.1007/s10494-005-2757-y