BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 58, Issue 1, March 2010

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Boussinesq equation for flow in an aquifer with time dependent porosity

R. WOJNAR
A problem of the Boussinesq type for flow of incompressible fluid through a medium with the porosity Φ being a given function of time is studied. At first, from the continuity equation the Dupuit relation for the fluid velocity in the considered medium is found. Next the Boussinesq equation is derived for the medium. This equation, if written for quantity H = h/Φ and not for the hydraulic head h, has a form of the classical Boussinesq equation, with the coeficient not constant but dependent on time, however. An example of the solution of the modified Boussinesq equation is also given.
Key words:

seepage, porosity, horizontal flow


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