FRACTALS, CHAOS, SELF-ORGANIZED CRITICALITY AND TECTONICS

被引：26

作者：

TURCOTTE, DL

机构：

[1] Department of Geological Sciences, Cornell University, Ithaca, New York

来源：

TERRA NOVA | 1992年 / 4卷 / 01期

关键词：

D O I：

10.1111/j.1365-3121.1992.tb00444.x

中图分类号：

P [天文学、地球科学];

学科分类号：

07 ;

摘要：

Some geological structures have simple geometrical forms and can be analysed using deterministic equations. Examples include alluvial fans and many sedimentary basins. But most geological structures are complex and appear to defy mathematical analyses. Yet in the complexity there is an order. Complex geological structures generally obey fractal statistics. Examples include topography, distributions of earthquakes and faults, and mineral deposits. An unresolved question is whether the fractal order is simply the result of scale invariance or the result of governing equations that yield deterministic chaos. In order to try to answer this question a variety of slider-block models have been considered. The stick-slip behaviour of slider-block models is a simple analogy to earthquakes. A pair of slider-blocks has been shown to behave chaotically. Models that use many slider-blocks exhibit self-organized criticality and generate fractal statistics similar to the statistics of regional seismicity.

引用

页码：4 / 12

页数：9

共 33 条

[1]

Aki K., A probabilistic synthesis of precursory phenomena, Earthquake Prediction, pp. 566-574, (1981)

[2]

Bak P., Tang C., Earthquakes as a self‐organized critical phenomenon, J. geophys. Res., 94, (1989)

[3]

Bak P., Tang C., Wiesenfeld K., Self‐organized criticality, Phys, Rev., 38 A, pp. 364-374, (1988)

[4]

Bennett J.G., Broken coal, J. Inst. Fuel., 10, pp. 22-39, (1936)

[5]

Biegel R.L., Sammis C.G., Dietrich J.H., The frictional properties of a simulated gouge having a fractal particle distribution, J. Struct. Geol., 11, pp. 827-846, (1989)

[6]

Burridge R., Knopoff L., Model and theoretical seismicity, Bull, seism. Soc. Am., 57, pp. 341-347, (1967)

[7]

Carlson J.M., Langer J.S., Mechanical model of an earthquake fault, Phys. Rev., 40 A, pp. 6470-6484, (1989)

[8]

Dzdewonski A.M., Ekstrom G., Woodhouse J.H., Zwart G., Centroid‐moment tensor solutions for October‐December 1987, Physics of the Earth and Planetary Interiors, 54, pp. 10-21, (1989)

[9]

Feder J., Fractals, (1988)

[10]

Fujiwara A., Kamimoto G., Tsukamoto A., Destruction of basaltic bodies by high‐velocity impact, Icarus, 31, pp. 277-288, (1977)

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