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Upper Bounds on Evaporation Losses from Buried Sources

CSIRO Centre for Environmental Mechanics, GPO Box 821, Canberra, ACT 2601, Australia

ABSTRACT

Evaporation losses at the soil surface are important in subirrigation. This study yields upper bounds on fractional evaporation loss from buried sources. Quasilinear solutions are given for evaporation at the soil surface from buried steady point and line sources at finite depth. These yield the very general result that e^-2z1 is the upper bound on the fractional evaporation loss from any arbitrary configuration of steady sources at dimensionless depth z₁. This dimensionless depth is the ratio of the physical depth to the sorptive length 2^–1, where is the sorptive number entering the quasilinear analysis. A simple general theorem gives the upper bound on fractional evaporation loss from arbitrary configurations of steady sources distributed throughout an arbitrary range of depths.

Contribution from CSIRO Australia.

Received for publication November 27, 1990.