RESEARCH INTO THE TWO-DIMENSIONAL PRESSURE FILTRATION OF THE GROUNDWATER WITHIN A HETEROGENEOUS BED

• Main Authors: Antonov Viktor Ivanovich, Belov Viktor Anatolevich
• Format: Article
• Language: English
• Published: Moscow State University of Civil Engineering (MGSU) 2012-12-01
• Series: Vestnik MGSU
• Subjects: circular external boundary; transition method; well capacity; pressure distribution; inflow; pressure filtration
• Online Access: http://vestnikmgsu.ru/files/archive/issues/2012/11/ru/26.pdf

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.