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A NEW APPROACH TO HYDROLOGIC MODELING: DERIVED DISTRIBUTIONS REVISITED. (R824780)
Citation:
Puente, C. E. A NEW APPROACH TO HYDROLOGIC MODELING: DERIVED DISTRIBUTIONS REVISITED. (R824780). JOURNAL OF HYDROLOGY. Elsevier Science Ltd, New York, NY, 187(1-2):65-80, (1996).
Description:
A fractal geometric procedure to model hydrologic (geophysical) phenomena is introduced. The method consists of using derived distributions, obtained by transforming arbitrary multinomial multifractal measures via fractal interpolating functions, to represent observed hydrologic phenomena. Specific applications include modeling either along a line (in space or in time) or over the plane (in space). It is shown via simulations that the new procedure leads to realistic descriptions of hydrologic patterns, and provides a very parsimonious and deterministic explanation of seemingly random phenomena. It is argued that the new method may lead to an alternative description of the dynamics of hydrologic (geophysical) phenomena. Examples dealing with rainfall and transport of pollutants in porous media illustrate the ideas.
Index Terms: Hydrology; Computer simulation; Fractals; Geometry; Interpolation; Mathematical transformations; Hydrologic models; Arbitrary multinomial multifractals; Fractal geometric procedures