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Confined Flow into a Tunnel during Progressive Drilling: An Analytical Solution
Author(s) -
Perrochet Pierre
Publication year - 2005
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.1745-6584.2005.00108.x
Subject(s) - dimensionless quantity , drilling , aquifer , transient (computer programming) , flow (mathematics) , sensitivity (control systems) , homogeneous , volumetric flow rate , mechanics , drilling fluid , geology , safer , petroleum engineering , geotechnical engineering , engineering , mathematics , computer science , statistics , mechanical engineering , groundwater , physics , combinatorics , electronic engineering , operating system
A convolution integral is developed to evaluate transient, drilling speed–dependent discharge rates into a tunnel gradually excavated in a homogeneous infinite aquifer. Comparison with the classical instantaneous‐drilling evaluation commonly used in practice reveals drastically reduced early‐time discharge rates, higher maximum rates, and similar long‐term rates. Dimensionless‐type curves are provided to help assess total discharge sensitivity to drilling time and predict safer maximum flow rates.