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Simple analytic functions for modeling three‐dimensional flow in layered aquifers
Author(s) -
Fitts Charles R.
Publication year - 1989
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/wr025i005p00943
Subject(s) - aquifer , hydraulic conductivity , discontinuity (linguistics) , plane (geometry) , flow (mathematics) , analytic function , boundary value problem , simple (philosophy) , mechanics , geology , groundwater flow , boundary (topology) , mathematical analysis , geotechnical engineering , geometry , groundwater , mathematics , physics , soil science , soil water , philosophy , epistemology
Analytic functions are presented for modeling three‐dimensional steady groundwater flow in stratified aquifers. The functions create discontinuity in the potential across an infinite plane while maintaining continuity of the potential gradient across the plane. These functions may be superimposed with other analytic functions to model three‐dimensional flow in stratified aquifers under a variety of boundary conditions. An interface between two layers of different hydraulic conductivity, an impermeable boundary, or a thin leaky layer may be modeled using such functions. These functions are simple compared to functions for doublet distributions over finite plane panels and are suitable for efficient modeling.