共查询到20条相似文献，搜索用时 15 毫秒
1.
Recent methods of analysis of so called disordered systems show that many objects and processes that earlier were considered as completely random reveal clear evidence of having some ordered structure in both time and space. These new methods (fractals, percolation, nonlinear dynamics and complexity theories) allow visualization and quantitative assessment of the level of complexity (orderliness) of these structures, using both theoretical models and experimental data. We consider sequentially some aspects of structural and evolutionary complexity of dynamics of seismic process and the technique of measuring this property.It is shown that the physical properties of geophysical medium are not always self-consistent and manifest fractal behavior on selected spatial and temporal scales. Mechanical percolation theory can be used for modeling geometry of fracture process. Namely, we consider fractal and connectivity aspects of delayed failure, including energy emission during fracturing. Special attention is paid to relating the intensity of geophysical anomalies to the strain in the framework of the pressure-induced anomalous strain-sensitivity (percolation) model, which explains naturally the observed heterogeneity of response of a geophysical media to the strain variation.Different methods of measuring the dynamic complexity of seismological time series are applied to magnitude and waiting time sequences of Caucasian earthquakes. The fractal (correlation) dimension d2 of the latter is high (larger than 8), but the former one has as low dimension as 1.6–2.5, which makes waiting time sequences a promising tool for revealing precursory changes.The same nonlinear technique allow detecting significant changes in the seismic regime during external electromagnetic forcing by MHD pulses; similar tests on the laboratory scale show the possibility of triggering/controlling stick-slip process by relatively weak electromagnetic or mechanical forcing.Lastly, the predictive potential of complexity analysis of seismological time series is considered. For example, percolation model predicts the increase of the number of large events and the scatter of magnitudes of events, decrease of the magnitude-frequency relation slope and appearance of multifractality at approaching the final rupture.It seems that seismology can benefit from using the new techniques to cope with the complexity of earthquake machine; for example, the measures of complexity can be characteristic for a given region and change before strong earthquake. 相似文献
2.
Cumulative Benioff strain-release, modified Omori's law and transient behaviour of rocks 总被引：1，自引：1，他引：1
Irreversible thermodynamic theories with internal state variables can be used to derive a general constitutive law for both transient and steady-state behaviours of rocks. This constitutive law can represent the concepts of damage and damage evolution in either the fibre-bundle model or continuum damage mechanics. We have previously proposed an empirically based constitutive law for both the transient and steady-state behaviours of rocks ultimately derived from laboratory experimental data. We show here that this law is concordant with the general constitutive law derived from irreversible thermodynamic theories, and that the relaxation modulus has a temporal power–law that depends on a structural fractal property of rocks. Our constitutive law predicts forms for the cumulative Benioff strain-release for precursory seismic activations and the modified Omori's laws of aftershocks, both aspects of the temporal fractal properties of seismicity. These seismic properties can also be derived by the fibre-bundle model or continuum damage mechanics. Our model suggests that these time-scale invariant processes of seismicity may be regulated by the fractal structures of crustal rocks. 相似文献
3.
断裂尺度的分形分布与其损伤演化的关系 总被引：3，自引：1，他引：2
借助于分形几何学和损伤力学的方法,重新考察和分析计算了有关的岩石断裂实验所提供的实验数据。分析计算结果表明:岩石断裂的损伤演化过程具有良好的统计自相似性,断裂尺度分布的分形维数能够很好地刻画岩石的损伤程度,并且在岩石断裂的损伤演化过程中,断裂尺度分布的分形维数(DL)随外载荷(σ)呈线性增大。对断裂尺度分布的分形维数而言,损伤演化过程是一个增维过程。根据计算结果给出了分形维数(DL)与损伤变量(ω)之间的经验关系。 相似文献
4.
不同岩石破裂全过程的声发射序列分形特征试验研究 总被引：3，自引：0，他引：3
通过对不同岩性的岩石进行单轴压缩声发射试验,获取岩石破裂全过程中的载荷-轴向变形曲线及声发射参数,观察试件破裂失稳时的破坏情况,分析破坏过程的载荷变化关系。着重对比了不同岩石的不同力学性质、岩石声发射序列的时域特征和声发射序列的分形特征。研究结果表明,采用声发射率、能率可以很好地描述岩石破裂损伤的整个阶段;计算岩石声发射率、声发射能率的关联维数,可得出岩石破裂过程的声发射序列具有分形特征;岩石破裂过程的声发射分维值D反映了岩石内部微裂隙的统计演化规律;不同岩性的岩石破裂过程的声发射参数序列的分形特征具有一定的共性;归纳总结出岩体声发射序列分维曲线的演化模式,即波动→持续下降演化模式,提出可以将分维值的持续下降作为岩体破裂失稳的前兆。 相似文献
5.
Modeling fractured rocks with numerical methods requires some derived parameters, among which the fracture network connectivity
and the size of the representative elementary volume (REV) are both of crucial importance. Percolation and REV analyses were
made by the RepSim code. The program uses input parameters such as fractal dimension of the fracture midpoints (D
c), length exponent (E) and relative dip (α
r) data. For percolation analysis, the relative sizes of the largest percolation clusters have been calculated by stochastic
realizations of the simulated fracture networks with different parameter triplets. Furthermore, fracture networks can be classified
into three major types on the basis of their (E,D
c,α
r) parameters. For the REV calculations, the porosity of the generated fracture network was calculated. The derived REV size
of a fracture network depends essentially on input parameters and shows a decreasing tendency with increasing D and E and vice versa. The method mentioned above was tested on both metamorphic samples of the Pannonian Basin and Variscan granitoid
rocks of the Mórágy Complex. Percolation values predicted for the Mórágy granite are highly sensitive to alterations in the
input parameters. The amphibolite bodies displayed a modeled fracture network with 80 to 90% of all fractures being interconnected,
while the largest achievable percolation cluster size of gneiss is less than 10%. The REV size of the amphibolite is about
20 m as a result of connected fractures filling the whole body, while gneiss has lower porosity and higher REV (approximately
70 m). 相似文献
6.
Multifractal Analysis of the Arnea,Greece Seismicity with Potential Implications for Earthquake Prediction 总被引：2，自引：0，他引：2
Two-dimensional multifractal analysis is performed in a seismic area of Northern Greece responsible for recent strong earthquakes, including the Arnea sequence of May 1995, culminating in a Mw 5.3 event on 4/5/1995. It is found that multifractality gradually increases prior to the major seismic activity and that declusterization replaces clusterization not long before its initialization. The fractal dimensions D(q) (q > 0) abruptly drop for aftershocks, reflecting their very strong spatial clustering. The observed seismicity patterns seem to be compatible with a percolation process. Before the main sequence, the fractal dimension is consistently in the range 1.67–1.96 (standard deviation included). Percolation theory predicts 1.9 for 2D percolation clusters and 1.8 for the backbone of 3D percolation clusters. If the observed gradual increase in multifractality is due to multifractality reaching a maximum prior to the major slip (percolation), this may enable us to roughly estimate its time of occurrence. 相似文献
7.
Investigation of fractal distribution law for the trace number of random and grouped fractures in a geological mass 总被引：1，自引：0，他引：1
Yangsheng Zhao Zengchao Feng Weiguo Liang Dong Yang Yaoqin Hu Tianhe Kang 《Engineering Geology》2009,109(3-4):224-229
A fractal study method of the number of geological mass fractures is introduced in detail in this paper. Three main aspects of the problem were studied: (1) The random distribution of fractures in a geological mass was in good agreement with the fractal law. The size scale of the studied geological mass ranged from 2400 m to 1 mm for the length of each side, and the geological mass samples were taken from 13 coal areas in China. (2) The geological mass fractures were evidently directional and anisotropic, having originated from tectonic movement. Observation and statistics for the data from the Xuangang, Fenxi and Dongshan coal areas in Shanxi, China, demonstrated that the fracture distribution of each group, classified by the strike of the strata, still follow the fractal law, even though the fractal dimension varies to a certain extent with different strikes. (3) The sedimentary strata containing the coal seams, as a geological mass, underwent almost similar tectonic movements in their geological history. The mechanical experiments on geological mass samples from Fenxi and Jiexiu in Shanxi demonstrated that the fractal dimension of the number of fractures in the same strata is in good power function with the product of strength and elastic modulus. The larger the product of the strength of the elastic modulus is, the larger is the fractal dimension, and vice versa. 相似文献
8.
城市建设地质极限问题分析 总被引：4，自引：2，他引：2
从地质学与力学的角度看 ,城市的不断扩展等同于城市建设对地质环境施加规模和强度不断增大的荷载 ,而城市下伏岩土体承受荷载的能力是有限的。本文由此侧面切入城市地质环境与地质灾害问题。注重潜在的、缓慢的城市地质作用。 相似文献
9.
An understanding of the fracture mechanics of geomaterials is important for the solution of many problems in geomechanics. One of the most important material properties involved in fracture mechanics is the fracture toughness, KIc. The short-rod test configuration proposed by Barker1 has significant potential for becoming a standard test for fracture toughness determination in geomechanics. The purpose of this brief is to examine the application potential of the short-rod test for geomechanics problems. 相似文献
10.
We identify two likely normal faults on Europa, of lengths ≈30 and 11 km. A simple flexural model of fault-related topography gives effective elastic thicknesses of 1.2 and 0.15 km, respectively, and the resulting inferred fault strength is of order 1 MPa. The maximum fault displacement: length ratio for each fault is ≈0.02, comparable with values on silicate planets. We combine this observation with a modified linear elastic fracture mechanics model to conclude that the shear modulus of the Europan surface must be significantly less than that for unfractured ice. The low value of the modulus is probably due to near-surface fracturing or porosity, which will affect the material's radar properties and seismic velocities. For a likely reduction in shear modulus of an order of magnitude, the driving stresses inferred are about 6–8 MPa, much higher than present-day diurnal tidal stresses. However, stresses approaching these values can be generated by non-synchronous rotation or polar wander, while stresses exceeding these values arise during ice shell freezing. If the entire larger fault breaks, it will generate an event of seismic magnitude Ms≈5.3. 相似文献
11.
基于三维孔隙介质的逾渗模型,首次把裂隙这一重要的渗透通道引入到三维逾渗研究中,提出了孔隙裂隙三维逾渗的研究方法,并建立了孔隙裂隙双重介质三维逾渗模型,这一模型的建立使得逾渗理论的研究成果可以被应用到更多的领域中,如煤体、岩体等。基于VC++6.0开发了孔隙裂隙双重介质三维逾渗模拟软件,模拟研究了双重介质的逾渗规律,模拟研究表明：裂隙的存在在很大程度上提高了介质的逾渗概率,使孔隙裂隙双重介质的逾渗规律明显不同于孔隙介质;随孔隙率、裂隙分形维数、裂隙数量分布初值由小到大逐渐增长,必然发生逾渗转变的自然现象。 相似文献
12.
13.
弹性模量、波速与应力的关系及其应用 总被引：1，自引：0，他引：1
为充分了解不同尺度地质系统的岩石动力学特征,更好利用不同规模勘探资料有效解释地质系统的特征,在岩石物理实验对岩石弹性模量、波速与应力的关系进行研究总结的基础上,探讨野外实际地震勘探中地震波速与地应力的关系。研究表明,岩石、岩体或地质系统是多相(固液气)、多种矿物、各种构造的综合体,不论尺度如何均可以用多重介质孔隙裂隙地质模型描述,而波速是一定尺度不均匀地质体的等效波速,在一定地质条件下,各种尺度介质波速、岩石弹性模量与有效应力存在依存关系。坚硬的岩石通常很脆,如果岩石处于很大的应力之下,应力的释放将在岩石中产生微裂隙,微裂隙会降低地震速度。只要把岩石恢复到原来的应力状态就可能消除所引发的微裂隙。在岩体未达到破坏时,应力越大,波速愈高。压力释放引发的微裂隙有助于现场确定最大/最小水平应力方向,波速的椭圆长轴即为主应力方向。而上覆地层压力不变(或变化很小),净储层压力的影响正好与储层压力对地震特性的影响相反。随着净储层压力的增加,所有岩石的地震特性都增高。这种增高的量级取决于若干其它的因素(孔隙形状、孔隙度、孔隙流体、岩性等等)。不论野外地震勘探还是实验研究,地震波速与地应力的一致性为地质系统的正反演解释提供了宏观控制依据:通过测量弄清 相似文献
14.
不同频率循环荷载作用下岩石阻尼比试验与变形破坏机制细观分析 总被引：4，自引：0，他引：4
通过对取自海南昌江核电厂一期工程主厂区的黑云母花岗岩,在RMT－150B多功能全自动刚性岩石伺服试验机进行单轴不同频率的循环加卸载试验,研究花岗岩动应变-应力滞回曲线、动弹性模量和阻尼比同循环频率之间的规律,然后对破坏断裂断口进行细观电镜扫描试验,分析了不同频率下花岗岩断口细观形貌与结构特征。结果表明,花岗岩在循环荷载作用下的加卸应力-应变曲线并不重合,而是形成一个封闭的滞回环;当循环频率在0.01～1.0 Hz范围内变化时,随着频率增大,花岗岩滞回环面积、动弹模和阻尼比都增大;通过细观数字图像试验分析发现,循环荷载作用下,随着频率的增大,岩石断口细观裂纹总的数目、面积、分形维数均变大。文中给出不同频率循环荷载作用下岩石破裂的细观损伤力学机制,研究成果对海南昌江核电厂的地震反应分析和场地安全性评价有着重要参考价值。 相似文献
15.
The observed fractal nature of both fault length distributions and earthquake magnitude-frequency distributions suggests that there may be a relationship between the structure of active fault systems and the resulting seismicity. In previous theoretical work, a positive correlation between the exponent D from the fracture length distribution, and the seismic or acoustic emission (AE) b-value has been inferred from a simple dislocation model of the seismic source. Here, we present the first experimental evidence for a correlation between D and b from a series of tensile fracture mechanics tests on crystalline rock, carried out in different environmental conditions, both air-dry and water-saturated, and at ambient temperature and pressure. The microseismic acoustic emissions were monitored during subcritical crack growth under controlled conditions of constant stress intensity, KI, and quantitative analyses of the resulting fracture patterns were carried out on the same specimens. It is found that AE b-values, ranging from 1.0 to 2.3, correlate negatively with the normalized stress intensity KI/KIC, where KIC is the fracture toughness of the specimen. The microcrack length distribution exponent D, ranges from 1.0 to 1.7. Fluid presence has a first-order influence on both the AE and structure produced in these experiments. For experiments at low stress intensity or high fluid content, the activation of the stress corrosion mechanism for KI < KIC leads to a greater relative proportion both of small cracks and of low amplitude acoustic emissions, reflected in higher values of D and b. The exponent D is found to correlate positively with the AE b-value. 相似文献
16.
17.
The stress-strain behaviour of rock material related to fracture under compression 总被引：12，自引：0，他引：12
Fracture is the main reason for the non-linear behaviour of hard rocks. The fracture mechanics of rock is studied in this article by analysis of the fracture process under compression. A constitutive model that describes the relationship between the macro deformation of rock and the micro fracture within rock is developed. The propagation of microcracks, the non-linearity of deformation, the loading-and-unloading hysteresis and the variation of the apparent Young's modulus and Poisson's ratio are studied using the developed model. The model simulations demonstrate that: (1) the fracture toughness, initial crack length, crack density, and Young's modulus are four crucially important parameters that affect the deformation behaviour of rock; (2) the elastic parameters (E and v) of the rock matrix should be measured in triaxial tests. If they are measured in uniaxial tests, the upper straight unloading portion of the stress-strain curve is suggested to be used for the purpose, unless the closure effect of open cracks will be included in the estimations. In addition (3), the slope of the reloading stress-strain curve is a measure of the damage in material. 相似文献
18.
岩石碎裂作用的分形尺度(英文) 总被引：4，自引：0，他引：4
各种各样的统计幂定律关系经常成功地被用来描述碎屑大小分布和断口形状 (不平整度 )的分级规律 ,表明碎裂作用是一种尺度不变的作用过程。一条新的有关岩石碎裂作用破裂能量的尺度律 ,可以由分形几何以及Griffith能量平衡的概念推导出来 ,而且它与先前三条关于大小缩减或Hall Petch关系的理论是相一致的。从材料强度的观点来看 ,断口形状的分形维数是形状因子和岩石Weibull均质系数的函数。在任何一次采集中 ,如果碎屑都是致密压实的 ,那么大小分布和碎屑不平整度的分形维数是相同的。然而有些地壳碎屑在三维体积上已不再是致密压实的 ,破裂的地壳可被当作分形的多孔物质来处理。在此情况下 ,地壳碎屑形状的分形容量与地壳断口大小分布的分形维数相关 ,可以预期 ,在大地构造及地震强度的分形分析中 ,地壳断口大小分布的分形维数可作为断裂制约条件之一。 相似文献
19.
水岩作用下泥质板岩表现出明显的软化特征。通过单轴压缩试验分析了泥质板岩软化过程中单轴压缩强度、弹性模量和泊松比与吸水时间之间的关系;借助核磁共振试验研究了水岩作用下泥质板岩软化过程中孔隙的产生、扩展和贯通规律,分析了泥质板岩软化过程中孔隙度与吸水时间之间的关系;采用电镜扫描试验分析了水岩作用下泥质板岩软化过程中微观结构的演变规律,基于分形理论研究了不同浸泡时间下泥质板岩分形维数的变化规律;运用非线性动力学理论,选取微观结构孔隙形状分维值、孔隙度、单轴抗压强度、弹性模量作为描述泥质板岩与水溶液相互作用系统的变量,建立了水岩作用下泥质板岩的软化模型,结合试验数据验证了模型的适用性。结果表明：泥质板岩单轴抗压强度、弹性模量随吸水时间增大而减小,呈负线性相关,而泊松比与吸水时间之间的关系不明显;在浸泡初期,水岩作用强烈,泥质板岩内部微孔隙会发生扩展贯通进而形成更大尺寸的孔隙,孔隙度在浸泡初期增长较快;随着浸泡时间的延长,水岩作用减弱,孔隙度增长速率趋缓;随着吸水时间的推移,泥质板岩内部孔隙相互连通,进而形成复杂网状结构的大孔,泥质板岩分形维数呈对数增长,最终趋于稳定;采用非线性模型计算的结果与试验数据较接近,说明泥质板岩的软化过程具有明显的非线性动力学特征,利用非线性动力学模型可以较好地表征水岩作用下泥质板岩的软化规律。研究成果可为软岩?水相互作用理论研究提供参考。 相似文献
20.
用盒维数方法估计了受压岩石表面断裂带的分维值,研究了分维值随载荷、结构(平板伏试件合圆孔或与加载方向成不同角度的割缝)、岩性(大理岩、灰岩、砂岩)和粒度的变化特征,分析了统计自相似性成立的范围与岩性和粒度的关系。研究结果表明。在微裂纹发育未连通为宏观断裂带阶段,分维值随载荷上升而上升,当宏观断裂带形成之后,分维值保持为常数,且随岩性不同而不同。对于所测三种岩石,自相似性成立的尺度范围的上限为颗粒尺寸的Zyljlo倍。最后,结合岩石破裂过程的能量耗散机理,讨论了岩石分维断裂的物理意义。 相似文献