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Analytical Solutions for Determination of Non‐Steady‐ State and Steady‐State Capture Zones
Author(s) -
Yang Y. Jeffrey,
Spencer Richard D.,
Gates Todd M.
Publication year - 1995
Publication title -
groundwater monitoring and remediation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.677
H-Index - 47
eISSN - 1745-6592
pISSN - 1069-3629
DOI - 10.1111/j.1745-6592.1995.tb00507.x
Subject(s) - steady state (chemistry) , plume , mechanics , flow (mathematics) , volumetric flow rate , constant (computer programming) , groundwater , environmental science , hydraulic conductivity , geology , geotechnical engineering , soil science , thermodynamics , chemistry , physics , computer science , soil water , programming language
This paper presents analytical solutions for determining non‐steady‐state capture zones produced by a single recovery well and steady‐state capture zones produced by multiple recovery wells. Analysis of non‐steady‐slate capture zones is based on the lime‐dependent location of caplure zone stagnation points and the geometric similarity between steady‐slate and non‐steady‐state capture zones. The analytical solution of steady‐state capture zones is obtained from spatial variations of discharge potential across the capture zone boundary. Both capture zone analyses are based on the assumptions of uniform flow field with a constant hydraulic conductivity, the Dupuit assumption of insignificant vertical flow, a negligible delayed yield, and a fully penetrating well with a constant pumping rate. For a ground water pump‐and‐trcat remediation program, the pumping rate and well location design variables can be adjusted to ensure containment of the ground water contaminant plume.