PERCOLATION THEORY - A MODEL FOR ROCK FRACTURE

被引：22

作者：

BEBBINGTON, M

VEREJONES, D

ZHENG, X

机构：

[1] VICTORIA UNIV WELLINGTON,DEPT MATH,WELLINGTON,NEW ZEALAND

[2] BEIJING NORMAL UNIV,DEPT MATH,BEIJING,PEOPLES R CHINA

来源：

GEOPHYSICAL JOURNAL INTERNATIONAL | 1990年 / 100卷 / 02期

关键词：

b‐values; critical exponents; fracture; percolation;

D O I：

10.1111/j.1365-246X.1990.tb02481.x

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

Recent theoretical advances have confirmed the status of the so‐called ‘scaling relations’ for percolation theory. On this pretext, their implications for the treatment of rock fracture are re‐examined. Comparison between predicted and observed b‐values suggest that classical percolation may be a less appropriate model than had been anticipated. Directed variants, such as first‐passage, oriented and invasion percolation, may prove more successful, but at present little firm theoretical knowledge exists concerning their cluster properties. At the present time the simpler branching process appears to offer as effective a model as any for rock fracture. Major ambiguities of interpretation prevent any clear conclusions from being drawn. Copyright © 1990, Wiley Blackwell. All rights reserved

引用

页码：215 / 220

页数：6

共 32 条

[1] SHARPNESS OF THE PHASE-TRANSITION IN PERCOLATION MODELS [J].