Summary: | The subject of research is the steady pressure filtration of the unconfined groundwater in the
heterogeneous bed, if the product of the transparency coefficient and bed thickness is represented
as a square of an arbitrary harmonic function of coordinates of bed points. The study of the groundwater
filtration within a heterogeneous bed using the «transition method» is reduced to the search
for potential parallel-plane flows of the ideal incompressible fluid using the superposition of point
sources and multipoles of different order. Application of the «transition method» instead of a regular
integration of differential equations in the series is a simple and obvious method of generalizing the
well-known Dupuis formula to identify the well capacity within a homogeneous bed by extending it
to the whole variety of heterogeneous beds, if the product of the transparency coefficient and bed
thickness is represented as a square of an arbitrary harmonic function of coordinates of bed points.
The above sequence of operations produces a compact formula describing the pressure distribution
within a pressure bed, if the external boundary of the groundwater is circular.
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