Advances in Theoretical Hydrology. A Tribute to James Dooge by J. P. O'Kane

By J. P. O'Kane

This Festschrift containing 16 invited essays and papers is a tribute to the prestigious Irish hydrologist James Dooge at the get together of his seventieth birthday. His former scholars, colleagues and neighbors in fourteen international locations, have supplied a diverse choice on his favorite subject matters: movement in open channels and unsaturated soil, and likewise from his significant curiosity of modern years, huge scale hydrology and international change.

The e-book has 3 sections. the 1st part on hydrological tactics includes six papers. the second one part on huge scale hydrology has 4 papers. Six historic, reflective and philosophical essays at the earlier and way forward for the hydrological sciences shape the 3rd part of the booklet

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Soc. Am. , 45: 13-20. S. , 1977. A comparison of numerical simulation models for one-dimensional infiltration. Soil Sci. Soc. Am. , 41: 285-294. H. , 1974. Exact solutions in nonlinear diffusion. J. Eng. , 8: 219-227. J. , 1991. Partial analysis applied to scale problems in surface moisture fluxes. Surv. , 12: 221-241. G. , 1973. Modelling infiltration during a steady rain. Water Resour. , 9: 384-394. , 1976. A catalogue of the hydraulic properties of unsaturated soils. Research Project Report 442, Technion Institute of Technology, Haifa.

T h e evaporatin g surface , whic h i s initiall y locate d i n th e pea t surfac e a t ζ = 0, starts to move downwards and transport of p e a t - w a t e r in the vapour phase appears. Eventually thermal gradients become important and must be consid­ ered. Values of Ep may be estimated from P e n m a n ' s (1948) equation using standard meteorological data or from open water evaporation rates after correction by a pan factor. A diurnal cycle may be introduced into Ep in proportion to the elevation of the sun (Van Bavel and Hillel, 1976; Hillel, 1977).

H is a direct non-linear function of the state variable and may b e found by substituting θ in (10), and using (8) and (9). Variations in dry bulk density with depth or with water content can be accom­ modated as extensions of the theory. For simplicity only variations with depth are included in this paper. 3. 1. , 1987). These are: (1) a water balance, that states that water mass is conserved; and (2) a dynamic equation, with liquid and vapour water flux proportional to the gradient in peat water potential.

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