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Identification of non‐Darcy groundwater flow parameters
Author(s) -
Goodwill I. M.,
Kalliontzis C.
Publication year - 1988
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1650080204
Subject(s) - darcy's law , mathematics , groundwater flow , flow (mathematics) , parametric statistics , groundwater flow equation , mathematical optimization , computer science , geology , geotechnical engineering , groundwater , porous medium , geometry , aquifer , porosity , statistics
Abstract Non‐Darcy groundwater flow parameters are identified for three different flow systems. In the first system, which is essentially one‐dimensional, the parameters are determined by means of an integral method. A rectangular parametric grid is used for the identification of the non‐Darcy friction coefficients in the second system, which is two‐dimensional. The parameters in the third system, which involves a hybrid simulation of three‐dimensional flow, are optimized by adopting a constrained non‐linear programming technique. This technique combines Cauchy's steepest‐descent method together with the modeller's subjective judgement of the results at the end of each iterative step. The paper is concluded with a brief description of the additional research which is thought to be necessary before the difficulties of optimizing the non‐Darcy flow parameters can be overcome.