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Effect of accretion on dynamics of groundwater between two channels
Author(s) -
El Nimr Ahmed
Publication year - 1973
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/wr009i004p01058
Subject(s) - aquifer , dimensionless quantity , groundwater , geology , boundary value problem , infiltration (hvac) , accretion (finance) , mechanics , exact solutions in general relativity , geotechnical engineering , mathematics , mathematical analysis , physics , thermodynamics , astrophysics
A mathematical study investigates the effect of infiltration or evaporation on groundwater level and on the amount of seepage to or from channels that bound an unconfined aquifer. In the analyses the actual free‐surface boundary conditions as well as the exact differential equation were used to obtain the general solution. Three particular cases were studied in detail. In the first, the accretion is considered to be constant, whereas, in the second, it is taken to be varying linearly with time. In the third, the accretion occurs only on a part of the aquifer but does not occur on the other parts. For the three cases, the rate of seepage was given in mathematical forms as well as in dimensionless curves. The free‐surface profile was also drawn for several cases. A comparison with the solutions based on the Boussinesq equation was presented. These approximate solutions were found to give satisfactory results for shallow aquifers but to fail to give reasonably adequate results for relatively thick aquifers. The comparison also indicates that the results of these approximate methods deviate greatly from the exact solutions for small values of time.