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Approximate self-affine model for cultivated soil roughness

O.I. Yordanov and A. Guissard

Physica A: Statistical Mechanics and its Applications, 1997, vol. 238, issue 1, 49-65

Abstract: We consider laser profiler measured soil profiles and show that the roughness of the cultivated soil can be viewed as an approximately self-affine structure. This conclusion is drawn from the limited range scaling behaviour found in both the variance and the second-order structure function of the profiles. We then propose and test a model for the radial part of the roughness spectra the explicitly incorporates the approximate self-affinity. A comparison of the model with data renders the values of the roughening exponent, the pertinent statistical parameters, the topothesy and the large-scale correlation length. Some technical details of the statistical analysis used to ascertain the model are also discussed.

Keywords: Semi-empirical models; model calculations; Surface structure; Morphology; Roughness; Topography (search for similar items in EconPapers)
Date: 1997
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:238:y:1997:i:1:p:49-65

DOI: 10.1016/S0378-4371(96)00453-0

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