Articles | Volume 26, issue 2
Hydrol. Earth Syst. Sci., 26, 355–374, 2022
Hydrol. Earth Syst. Sci., 26, 355–374, 2022
Research article
 | Highlight paper
24 Jan 2022
Research article  | Highlight paper | 24 Jan 2022

Hydrology without dimensions

Amilcare Porporato

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Cited articles

Anand, S. K., Hooshyar, M., and Porporato, A.: Linear layout of multiple flow-direction networks for landscape-evolution simulations, Environ. Model. Softw., 133, 104804,, 2020. a
Aronson, D. G. and Graveleau, J.: A selfsimilar solution to the focusing problem for the porous medium equation, Eur. J. Appl. Math., 4, 65–81, 1993. a
Barenblatt, G. I.: Scaling, self-similarity, and intermediate asymptotics: dimensional analysis and intermediate asymptotics, 14, Cambridge University Press,, 1996. a, b, c, d, e, f, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u
Barenblatt, G. I., Chorin, A. J., and Prostokishin, V. M.: Scaling laws for fully developed turbulent flow in pipes: Discussion of experimental data, P. Natl. Acad. Sci. USA, 94, 773–776,, 1997. a
Barr, D. I.: Consolidation of basics of dimensional analysis, J. Eng. Mech., 110, 1357–1376, 1984. a
Short summary
Applying dimensional analysis to the partitioning of water and soil on terrestrial landscapes reveals their dominant environmental controls. We discuss how the dryness index and the storage index affect the long-term rainfall partitioning, the key nonlinear control of the dryness index in global datasets of weathering rates, and the existence of new macroscopic relations among average variables in landscape evolution statistics with tantalizing analogies with turbulent fluctuations.