A diffusion-limited aggregation model for the evolution of drainage networks

Details A diffusion-limited aggregation model for the evolution of drainage networks A diffusion-limited aggregation model for the evolution of drainage networks

Sep 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993e%26psl.119..379m&link_type=abstract

Earth and Planetary Science Letters (ISSN 0012-821X), vol. 119, no. 3, p. 379-386

Statistics

Computation

11

Drainage, Earth (Planet), Fluid Flow, Ocean Models, Planetary Evolution, Statistical Analysis, Tectonics, Computational Grids, Diffusion, Topography, Two Dimensional Models

Scientific paper

We propose a modified diffusion-limited aggregation (DLA) model for the evolution of fluvial drainage networks. Random walkers are introduced randomly on a grid, and each two-dimensional random walk proceeds until the walker finds a drainage network on which to accrete. This model for headward growth of drainage networks generates drainage patterns remarkably similar to actual drainages. The model also predicts statistical features which agree with actual networks, including the frequency-order (bifurcation) ratio (R(sub b) = 3.98) and the stream length-order (R(sub r) = 2.09). Using the definition of network fractal dimension D = log R(sub b)/log R(sub r), we find that our DLA model gives D = 1.87, near the observed range of D approximately equal to 1.80 - 1.85.

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