logo
calendar5 Avgust 2026
view21
Main language:Uzbek

SPATIAL AND DEPTH DISTRIBUTION CHARACTERISTICS OF GEOLOGICAL FAULTS

Field of Science:Geology
pdf

9-article. SPATIAL AND ....pdf

PDF

Scientific and technical journal "Digital Technologies in Industry"

Scientific and technical journal "Digital Technologies in Industry"

Publish Articlesee more

ARTICLE ANNOTATION

quote
This study investigates the spatial and depth distribution characteristics of geological faults using fractal and statistical analysis methods. A random point distribution model and the Lévy flight fractal model were employed to simulate the spatial arrangement of fault systems. Based on the Lévy flight model, the probability density and distribution functions of inter-fault distances were determined, and the fractal dimension parameter was calculated. The results confirmed that the spatial distribution of geological faults and earthquake epicenters represents a complex structural-geodynamic system exhibiting self-similar fractal properties. A strong relationship was identified between the degree of fault clustering, spatial density, depth distribution, tectonic stress fields, and seismic activity. The influence of systematic factors, including coordinate errors, boundary effects, statistical sample size, and spatial projection, was analyzed during the estimation of the correlation dimension. It was demonstrated that reduced coordinate accuracy at small scales may lead to inaccurate estimation of fractal parameters. The application of statistical filtering and scale-parameter optimization methods improved the accuracy of distribution pattern assessment. The obtained results are of significant scientific and practical importance for identifying seismic hazard zones and evaluating the geodynamic state of regions.

AUTHORS

Science ID: FQD-0226-0038

Tags

# yer# faollik# fraktal# o‘lcham# modeli# geodinamika# yoriqlari# korrelyatsion# lévy# flight# seysmik

SIMILAR ARTICLES

OTHER ARTICLES IN THIS JOURNAL

Rate Article

0
0 ratings
5
4
3
2
1

References

[1] Aki, K., & Richards, P. G. (2002). Quantitative seismology (2nd ed.). University Science Books.

[2] Aviles, C. A., Scholz, C. H., & Boatwright, J. (1987). Fractal analysis applied to characteristic segments of the San Andreas Fault. Journal of Geophysical Research: Solid Earth, 92(B1), 331–344. https://doi.org/10.1029/JB092iB01p00331

[3] Grassberger, P., & Procaccia, I. (1983). Characterization of strange attractors. Physical Review Letters, 50(5), 346–349. https://doi.org/10.1103/PhysRevLett.50.346

[4] Hauksson, E., & Shearer, P. (2005). Southern California hypocenter relocation with waveform cross-correlation. Bulletin of the Seismological Society of America, 95(3), 896–903. https://doi.org/10.1785/0120040167

[5] Kagan, Y. Y. (1991). Fractal dimension of brittle fracture. Journal of Nonlinear Science, 1(1), 1–16. https://doi.org/10.1007/BF01209146

[6] Kagan, Y. Y. (2007). Simplified algorithms for calculating double-couple rotation. Geophysical Journal International, 171(1), 411–418. https://doi.org/10.1111/j.1365-246X.2007.03538.x

[7] Kagan, Y. Y., & Knopoff, L. (1980). Spatial distribution of earthquakes: The two-point correlation function. Geophysical Journal of the Royal Astronomical Society, 62(2), 303–320. https://doi.org/10.1111/j.1365-246X.1980.tb04857.x

[8] Mandelbrot, B. B. (1983). The fractal geometry of nature. W. H. Freeman and Company.

[9] Okubo, P. G., & Aki, K. (1987). Fractal geometry in the San Andreas Fault system. Journal of Geophysical Research: Solid Earth, 92(B1), 345–355. https://doi.org/10.1029/JB092iB01p00345

[10] Robertson, M. C., Sammis, C. G., Sahimi, M., & Martin, A. J. (1995). Fractal analysis of three-dimensional spatial distributions of earthquakes with a percolation interpretation. Journal of Geophysical Research: Solid Earth, 100(B1), 609–620. https://doi.org/10.1029/94JB02463

[11] Sornette, D. (2004). Critical phenomena in natural sciences: Chaos, fractals, self-organization and disorder (2nd ed.). Springer.

[12] Turcotte, D. L. (1997). Fractals and chaos in geology and geophysics (2nd ed.). Cambridge University Press.

[13] Wiemer, S., & Wyss, M. (2000). Minimum magnitude of completeness in earthquake catalogs: Examples from Alaska, the western United States, and Japan. Bulletin of the Seismological Society of America, 90(4), 859–869. https://doi.org/10.1785/0119990114