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    188宝金博页面版: Generalizing the fractal model of soil structure the pore–solid fractal approach

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    内容提示： ? .Geoderma 88 1999 137–164Generalizing the fractal model of soil structure:the pore–solid fractal approachEdith Perriera,1 , Nigel Bird b,2 , Michel Rieu a,)aORSTOM, Laboratoire d’Informatique Appliquee, 32 a?. Henri Varagnat, 93143 Bondy Cedex, ?FrancebSilsoe Research Institute, Soil Science Group, Wrest Park Silsoe, Bedford MK45 4HS, UKReceived 28 October 1997; accepted 28 September 1998AbstractWe review a generalized approach to modeling soil structures, which exhibit scale invariant, orself-simi...

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    ? .Geoderma 88 1999 137–164Generalizing the fractal model of soil structure:the pore–solid fractal approachEdith Perriera,1 , Nigel Bird b,2 , Michel Rieu a,)aORSTOM, Laboratoire d’Informatique Appliquee, 32 aÕ. Henri Varagnat, 93143 Bondy Cedex, ´FrancebSilsoe Research Institute, Soil Science Group, Wrest Park Silsoe, Bedford MK45 4HS, UKReceived 28 October 1997; accepted 28 September 1998AbstractWe review a generalized approach to modeling soil structures, which exhibit scale invariant, orself-similar local structure over a range of scales. Within this approach almost all existing fractalmodels of soil structure feature as special albeit degenerate cases. A general model is consideredwhich is shown to exhibit either a fractal or nonfractal pore surface depending on the modelparameters. With the exception of two special cases corresponding to a solid mass fractal and apore mass fractal the model displays symmetric power law or fractal pore size and solid sizedistributions. In this context the model provides an example of a porous structure in which poresizes can be inferred from associated solid particle sizes through this symmetry. Again with twoexceptions the model is shown to exhibit scaling of solid and pore volumes as a function of theresolution of measurement contrary to that of a mass fractal structure and to possess porosity otherthan zero or unity when local structure is included at arbitrarily small scales contrary to thesituation arising in the case of a solid mass fractal and a pore mass fractal model respectively.Consequently the model not only generalizes the fractal approach to modeling soil structure butintroduces properties central to the characterization of a soil which are quite distinct from thoseexhibited by existing fractal models. The model thus offers a wider scope for modelingself-similar multiscale soil structures than that currently operating. q1999 Elsevier Science B.V.All rights reserved.Keywords: fractal; soil structure; pore surface; pore mass)Corresponding author. E-mail: rieu@paris.orstom.fr1E-mail: perrier@bondy.orstom.fr2E-mail: bird@bbsrc.ac.uk0016-7061r99r$ - see front matter q 1999 Elsevier Science B.V. All rights reserved.? . PII: S0016-7061 98 00102-5

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