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Combined Mathematical Model of Flow in an Aquifer‐Vertical Well System
Author(s) -
Tarshish Michael
Publication year - 1993
Publication title -
groundwater
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.84
H-Index - 94
eISSN - 1745-6584
pISSN - 0017-467X
DOI - 10.1111/j.1745-6584.1993.tb00586.x
Subject(s) - aquifer , inflow , mechanics , body orifice , sink (geography) , flow (mathematics) , geology , constant (computer programming) , mathematical model , drawdown (hydrology) , hydraulics , geotechnical engineering , physics , engineering , thermodynamics , groundwater , mechanical engineering , cartography , computer science , geography , programming language , quantum mechanics
A mathematical model and calculation method were developed for steady‐state flow in a confined aquifer‐vertical well system without the usual assumption that the specific discharge in the radial direction to the screen is constant along its axis. A vertical well is represented as a linear sink located along the well axis with nonuniform inflow (specific discharges) for description of a flow in an aquifer. Flow in the screen channels is described by taking into account energy losses and the momentum flux change along the well screen's axial (vertical) orifice. Substantial errors are avoided by the use of the proposed model in calculations of drawdown‐well discharge function and maximum specific discharge to the screen which influences sand pumping, incrustation, and corrosion processes.