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Optimal Identification of Aquifer Diffusivity Using Quasilinearization
Author(s) -
Yeh William WG.,
Tauxe George W.
Publication year - 1971
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/wr007i004p00955
Subject(s) - aquifer , nonlinear system , thermal diffusivity , ordinary differential equation , partial differential equation , geology , mathematics , matching (statistics) , differential equation , mathematical analysis , geotechnical engineering , physics , statistics , groundwater , quantum mechanics
An analytical procedure is presented to solve the problem of identifying aquifer diffusivity in an unconfined aquifer and stream interaction system. The fluctuation of the aquifer head in response to a flood wave is used as observations. The governing nonlinear partial differential equation is replaced by a system of nonlinear ordinary differential equations for which the technique of quasilinearization is applied. The procedure is straightforward and converges quadratically. It requires neither graphical matching nor trial and error manipulations. Numerical experiments are presented and compared with published experimental data.