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Identification of parameters in a linear equation of groundwater flow
Author(s) -
Nutbrown D. A.
Publication year - 1975
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/wr011i004p00581
Subject(s) - aquifer , infiltration (hvac) , groundwater flow , groundwater , limiting , groundwater flow equation , mathematics , basis (linear algebra) , relation (database) , linear equation , identification (biology) , flow (mathematics) , hydrology (agriculture) , soil science , geotechnical engineering , geology , computer science , mathematical analysis , geometry , engineering , meteorology , data mining , geography , mechanical engineering , botany , biology
An inductive method is presented for evaluating parameters in a two‐dimensional linear equation describing groundwater flow. The approach employs finite difference approximations, which can be simply programed for calculation by computer. Before illustrating the method, which is applicable to both stationary and time‐dependent problems, the various types of data required for evaluation in general are systematically enumerated. An assumption is introduced limiting the local variability of T , the transmissivity, and its relation to apparently similar assumptions used elsewhere is discussed. The particular aquifer chosen for illustration is the chalk of the South Downs between the rivers Adur and Ouse. The parameters are calculated on the basis of cyclic data in which annual abstraction is about 30% of the total infiltration for the year. The method gives a match to the minimum and maximum water levels during the year to within 7%.