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GGU-SLUGTEST: General equation of HVORSLEV

A general derivative of the HVORSLEV equation can be formulated as follows:

With:

q : Percolation [m³/s]

t : Time [s]

A : Flow cross-section [m²]

y : Increase in water level [m]

y0 : At-rest water level [m]

kf : Permeability [m/s]

L : Flow path [m]

the differential equation

image-20250112-104239.png

and Darcy's Law

image-20250112-104257.png

after introducing F = A/L [m], substituting and integrating, becomes

image-20250112-104315.png

where h1 and h2 are the gauge levels at the subsequent times t1 and t2.

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