 |
| Titel |
Organisation of joints and faults from 1-cm to 100-km scales revealed by optimized anisotropic wavelet coefficient method and multifractal analysis |
| VerfasserIn |
G. Ouillon, D. Sornette, C. Castaing |
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| ISSN |
1023-5809
|
| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 2, no. 3/4 ; Nr. 2, no. 3/4, S.158-177 |
| Datensatznummer |
250000251
|
| Publikation (Nr.) |
 copernicus.org/npg-2-158-1995.pdf |
|
|
|
|
|
| Zusammenfassung |
| The classical method of statistical physics deduces the
macroscopic behaviour of a system from the organization and interactions of its
microscopical constituents. This kind of problem can often be solved using procedures
deduced from the Renormalization Group Theory, but in some cases, the basic microscopic
rail are unknown and one has to deal only with the intrinsic geometry. The wavelet
analysis concept appears to be particularly adapted to this kind of situation as it
highlights details of a set at a given analyzed scale. As fractures and faults generally
define highly anisotropic fields, we defined a new renormalization procedure based on the
use of anisotropic wavelets. This approach consists of finding an optimum filter will
maximizes wavelet coefficients at each point of the fie] Its intrinsic definition allows
us to compute a rose diagram of the main structural directions present in t field at every
scale. Scaling properties are determine using a multifractal box-counting analysis
improved take account of samples with irregular geometry and finite size. In addition, we
present histograms of fault length distribution. Our main observation is that different
geometries and scaling laws hold for different rang of scales, separated by boundaries
that correlate well with thicknesses of lithological units that constitute the continental
crust. At scales involving the deformation of the crystalline crust, we find that faulting
displays some singularities similar to those commonly observed in Diffusion- Limited
Aggregation processes. |
| |
|
| Teil von |
|
|
|
|
|
|
|
|