Programming for Pavlovsky's Ground-Water Problem

by George T. Papadopoulos,
Joakim G. Laguros,

Serial Information: Journal of the Irrigation and Drainage Division, 1968, Vol. 94, Issue 1, Pg. 49-56

Document Type: Journal Paper


The amount of seepage and the free surface profile in an unconfined flow between two water bodies above an inclined impervious layer are highly dependent on the normal depth of flow. Pavlovsky's solution requires a rather time-consuming graphical method of calculating the value of the normal depth. The computer program presented herein not only reduces the time element but it also encompasses the rising surface and the falling surface types of flow for values of slope greater and less than zero and for a range of headwater and tailwater values. This is made possible by using Kuo's method of false position, which is uniquely adapted to problems where the unknown function is expressed unavoidably in terms of the same unknown parameter. Variations in the length of the impervious medium are considered and one example is presented.

Subject Headings: Overland flow | Computer programming | Groundwater | Flow profiles | Free flow | Water flow | Seepage | Free surfaces

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