Fractal radar scattering from soil.

A general technique is developed to retrieve the fractal dimension of self-similar soils through microwave (radar) scattering. The technique is based on a mathematical model relating the fractal dimensions of the georadargram to that of the scattering structure. Clear and different fractal signatures have been observed over four geosystems (soils and sediments) compared in this work.

[1]  Greg Turner,et al.  Constant Q attenuation of subsurface radar pulses , 1994 .

[2]  M. Holschneider,et al.  Electromagnetic scattering from multi-scale rough surfaces , 1997 .

[3]  W. Seffens Order From Chaos , 1999, Science.

[4]  I. Lerche Multiple scattering of seismic waves in fractured media: Crosscorrelation as a probe of fracture intensity , 1985 .

[5]  V V Zosimov,et al.  Fractals in wave processes , 1995 .

[6]  M. Collins,et al.  Use of soil information to determine application of ground penetrating radar , 1995 .

[7]  Brian R. Hunt,et al.  The Hausdorff dimension of graphs of Weierstrass functions , 1998 .

[8]  Klaudia Oleschko,et al.  Linear fractal analysis of three Mexican soils in different management systems , 1997 .

[9]  A. P. Annan,et al.  Electromagnetic determination of soil water content: Measurements in coaxial transmission lines , 1980 .

[10]  F. N. Dalton,et al.  THE TIME-DOMAIN REFLECTOMETRY METHOD FOR MEASURING SOIL WATER CONTENT AND SALINITY , 1986 .

[11]  P. Lindner,et al.  Fractal Geometry of Rocks , 1999 .

[12]  S. Denisov Fractal Dimension of Random Processes , 1998 .

[14]  Backscattering in fractal aggregates: theoretical and numerical studies , 1998 .

[15]  C. P. Murphy Thin Section Preparation of Soils and Sediments , 1986 .

[16]  Alex Pentland,et al.  Fractal-Based Description of Natural Scenes , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[17]  R. Brewer Fabric and mineral analysis of soils , 1980 .

[18]  G. Korvin,et al.  Fractal characterization of the South Australian gravity station network , 1990 .

[19]  D. Goodman Ground‐penetrating radar simulation in engineering and archaeology , 1994 .

[20]  Klaudia Oleschko,et al.  Delesse principle and statistical fractal sets : 1. Dimensional equivalents , 1998 .

[21]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[22]  Structure and pedofeatures of Guanajuato (Mexico) Vertisol under different cropping systems , 1996 .

[23]  M. Holschneider,et al.  Time-dependent scattering on fractal measures , 1998 .

[24]  V. P. Dimri,et al.  Fractal behavior and detectibility limits of geophysical surveys , 1998 .

[25]  S. Sinha Scattering from fractal structures , 1989 .

[26]  Mass fractal dimensions and some selected physical properties of contrasting soils and sediments of Mexico , 2000 .

[27]  P. W. Schmidt,et al.  Small-angle scattering studies of disordered, porous and fractal systems , 1991 .

[28]  Hansen,et al.  Fractal pore space and rock permeability implications. , 1988, Physical review. B, Condensed matter.

[29]  D. Gordon,et al.  Curie-temperature depth estimation using a self-similar magnetization model , 1997 .

[30]  José M. Carcione,et al.  Ground‐penetrating radar: Wave theory and numerical simulation in lossy anisotropic media , 1996 .

[31]  J. Banavar,et al.  Probability density for diffusion on fractals , 1984 .

[32]  Delesse principle and statistical fractal sets: 2. Unified Fractal Model for soil porosity , 1999 .

[33]  Gasperini Testing the principle of equivalence with neutrino oscillations. , 1988, Physical review. D, Particles and fields.

[34]  D. Rothrock,et al.  Geometric properties of the underside of sea ice , 1980 .

[35]  I. Simonsen,et al.  Electromagnetic wave scattering from conducting self-affine surfaces: an analytic and numerical study. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[36]  M. Holschneider,et al.  SCATTERING ON FRACTAL MEASURES , 1996 .

[37]  Klaus Holliger,et al.  Seismic scattering in the upper crystalline crust based on evidence from sonic logs , 1997 .

[38]  L. Wilding,et al.  Overview of vertisols: characteristics and impacts on society. , 1996 .

[39]  Gilles Grandjean,et al.  GPR data processing for 3D fracture mapping in a marble quarry (Thassos, Greece) , 1996 .

[40]  A. Samarskii The Theory of Difference Schemes , 2001 .