An empirical approach to estimating population parameters from censored fracture-length distributions

Most fracture data sets are length-censored because of incomplete exposure at the surface, so estimating values of parameters of the sampled populations is difficult. Unless the form of the distribution function of the population is known, or one which is analytically tractable is assumed, length-censoring presents formidable problems in determining population parameters. Tests conducted on experimental fracture patterns developed in clay samples subjected to simple shear loading are the basis of a distribution-free way to estimate population parameters. Comparison of random samples of censored and uncensored fracture lengths shows that a useful, homogeneous data set consists of those cracks which lie entirely within the sampling area (two-ended cracks). The properties of this data set can be used to estimate the mean and variance of uncensored data. Estimates of the maximum fracture length of uncensored data, using the variance and maximum length of these two-ended cracks, show good agreement with measured values. Knowledge of the mean, variance, and maximum value of fracture-length populations are of interest in engineering and hydraulic studies, as well as in remote sensing studies of the Earth and other planets. Application of these results to data on rock masses are subject to the caveat that different crack-growth mechanisms in clay and rock may affect the accuracy of the calculations.     

Fractal reconstruction of sea-floor topography

Sea-floor bathymetric profiles exhibit features at many different scales of length; this suggests that they could be described as fractals. An algorithm interpolating a fractal line between points has been used to reconstruct bathymetric profiles from a few data points. In general, this fractal line has the same Fourier amplitude spectrum as real bathymetry, and, if the parameters of the interpolation are suitably chosen, it has a very similar appearance. The success of this fractal reconstruction algorithm for the sea-floor raises the possibility that it could be used to extrapolate, from data collected at one scale, the properties of the sea-floor at finer scales, and that similar techniques could be used to interpolate a surface between bathymetric profiles. The fractal character is a sign that the processes that shape the sea-floor are scale invariant and suggests that the renormalization group technique could be used to model these processes.     

破裂系分形研究进展

介绍了破裂系从宏观到微观破裂均具有分形结构，在此基础上，利用破裂系分维定量表征破裂系发育的各种向异性；研究了影响破裂系数分维的结构参娄，对破裂系进行了解析，并且将分维用于地壳稳定性和地震活动性研究，取得了很好的效果；分析了目前破裂系分开研究中存在的一些问题，展望一其研究趋势。     

福建省推覆构造研究及其意义

本文主要是根据“闽西南地区推覆构造与隐伏煤田预测研究”的主要成果来写的。在概述两次研究课题取得主要成果的同时，对福建省重大基础地质有关的问题提出了新的认识。文中重点是总结了福建省推覆构造发育的特征，将推覆构造划分为两大类（逆冲推覆构造，拆离构造）和五种类型（中深层次逆冲推覆构造、浅层次逆冲推覆构造、褶皱逆冲推覆构造和拆离（滑脱）构造、褶皱拆离构造），对各类型的主要特征、分布规律、组合特征和推覆构造的发生和发展进行系统的总结，明确指出了燕山早期中深层次边冲推覆构造是福建省规模最大、对今后寻找隐伏矿产关系最密切和最重要的推覆构造，对研究我省的推覆构造具有重要意义。并结合福建省的实际，从基础地质和找矿两方面进行论述。     

Dynamic faulting under rate-dependent friction

We discuss the effects of rate-dependent friction on the propagation of seismic rupture on active faults. Several physicists using Burridge and Knopoff's box and spring model of faulting have proposed that fault complexity may arise from the spontaneous development of a self-similar stress distribution on the fault plane. If this model proves to be correct, it has important consequences for the origin of the complexity of seismic sources. In order to test these ideas on a more realistic earthquake model, we developed a new boundary integral equation method for studying rupture propagation along an antiplane fault in the presence of nonlinear rate-dependent friction. We study rupture dynamics of models with single and twin asperities. In our models, asperities are places on the fault with a higher value of prestress. Othewise all fault parameters are homogeneous. We show that for models with such asperities, a slip velocity weakening friction leads to the propagation of supersonic healing phases and to the spontaneous arrest of fracture if the prestress outside the asperities is low enough. For models with asperities, we can also observe narrow slip velocity pulses, qualitatively similar to the so-called Heaton pulses observed in some earthquake accelerograms. We also observe a complex distribution of stress after the rupture that depends on details of the initial distribution of asperities and on the details of the friction law.     

断裂带的韧-脆性转化与成矿

根据河南西部绿岩型脉状金矿的一些地质现象,探讨了韧性剪切带转化为脆性断裂的机制.韧性剪切过程岩石的面理化为矿液参与断裂作用,增加流体压力创造了条件.流体压力的增加一方面可以改变断裂的力学性质;另一方面可以压裂围岩,促进断裂韧-脆性转化,为脉状矿床的形成创造了条件.     

过山气流与大兴安岭焚风

本文利用二维大气中尺度数值模式,模拟了冬季1月份大兴安岭东坡的焚风现象,并讨论了该焚风的成因。     

A simple method of estimating rock mass porosity and permeability

Conclusion A simple method of estimating fracture porosity and permeability based on empirical relations between fracture aperture andJRC andJCS can be developed. This shows very close correlation with existing data, using simple discontinuity models. There is quite a good correlation between fracture porosity and permeability and depth for larger initial apertures.