共查询到20条相似文献，搜索用时 390 毫秒
1.
Experimental Study of the Process Zone,Nucleation Zone and Plastic Area of Earthquakes by the Shadow Optical Method of Caustics 总被引：8，自引：0，他引：8
Z. Xu R. Yang J. Zhao B. Wang Y. Wang B. Xiong Z. Wang X. Lu S. Mei 《Pure and Applied Geophysics》2002,159(9):1951-1966
-- On a plexiglass sample, a penetrating crack was prefabricated by laser. The crack is inclined towards the major principal stress †1(†y) at an angle of about 30°. Using this sample and by means of shadow optical method of caustics and microcrack location, the process zone, nucleation zone and plastic area of earthquakes were studied experimentally, and the strain variation in the shadow area was monitored. From the result, we comprehend the following. When the stress †y was increased to a certain value, shadow areas were formed around the prefabricated crack and at its tips, with that at the tips being larger. These shadow areas become larger with the increase of load and smaller with unloading. In the shadow area the strain was inhomogeneous: it was very large in some places but very small in others. When the shadow area reached a critical state, microcracks appeared at the tips of the prefabricated crack. Microcracks appeared on one side of the prefabricated crack where the strain and the shadow were both smaller. The zone with concentrated microcracks, or the process zone, was always located at the crack tip; this zone together with a half length of the original crack formed the nucleation zone which fell into the shadow area but was smaller than it. The shadow optical area of caustics bears a certain quantitative relation with the plastic area. Therefore, if an appropriate method is available to obtain the shadow optical area of caustics, it would be possible to detect the area with strong differential deformation change, and hence to determine the zone where strong fracture (an earthquake) would take place. 相似文献
2.
In this work, a hybrid boundary integral equation method (BIEM) is developed, based on both displacement and hypersingular traction formulations, for the analysis of time-harmonic seismic waves propagating through cracked, multi-layered geological regions with surface topography and under plane strain conditions. Specifically, the displacement-based BIEM is used for a multi-layered deposit with interface cracks, while the regularized, traction-based BIEM is used when internal cracks are present within the layers. The standard uni-dimensional boundary element with parabolic shape functions is employed for discretizing the free surface and the layer interfaces, while special discontinuous boundary elements are placed near the crack tips to model the asymptotic behaviour of both displacements and tractions. This formulation yields displacement amplitudes and phase angles on the free surface of a geological deposit, as well as stress intensity factors near the tips of the cracks. Finally, in the companion paper, numerical results are presented which show that both scattered wave and stress concentration fields are sensitive to the incidence seismic wave parameters and to specific site conditions such as surface topography, layering, the presence of cracks and crack interaction. 相似文献
3.
Spontaneous Complex Earthquake Rupture Propagation 总被引：1，自引：0，他引：1
S. Das 《Pure and Applied Geophysics》2003,160(3-4):579-602
— The historical development of spontaneous rupture propagation, starting from the landmark paper of Griffith in 1920, through to the late 1980s is traced, with particular emphasis on the work carried out at MIT in the 1970s by K. Aki and his co-workers. Numerical applications of Kostrov's method for planar shear cracks were developed by Hamano, Das and Aki. Simultaneously at MIT, Madariaga considered the radiated field of a dynamic shear crack. The further development of these ideas, for example, three-dimensional spontaneous planar faulting models, continued through the 1980s. Major insight into the maximum possible rupture speeds for earthquakes developed, with the acceptance of the theoretical possibility of supersonic rupture speeds for faults with cohesion and friction, the theoretical developments spurring the search for such observations for earthquake ruptures. Possible mechanisms by which faults stop were elucidated. It was shown that a propagating rupture can jump over barriers for cracks with a cohesive zone at its tip. Complex faulting models, namely the barrier and asperity models, and their associated radiated field developed. In the late 1980s, it was shown that “dynamic” or transient asperities can develop during the complex rupturing process. Even seemingly relatively simple physical situations, can lead to such complex rupturing processes that the usual idea of “rupture velocity” needs to be abandoned in those cases. Some of the work initiated by Aki and his co-workers, such as the details of the transition from sub-Rayleigh to super-shear speeds in inplane shear mode, and the behavior of the cohesive zone size as the crack extends, still remains the subject of research today. 相似文献
4.
在隧道的施工和运营中,隧道衬砌不可避免会产生裂纹。裂纹和地震荷载的相互作用将加剧隧道的破坏,因此研究带裂纹隧道衬砌地震荷载作用下的破坏具有重要的意义。为了证明本文二维有限元数值模拟计算结果的正确性,首先用相互作用积分的方法计算动载作用下的静态裂纹,并与解析解进行比对,发现二者的吻合性很好。计算结果表明相互作用积分法可以用来精确地计算动载作用下带裂纹结构的动应力强度因子。用这种经过验证的方法来计算带裂纹重载铁路隧道衬砌的动应力强度因子和动承载力安全系数,可以看出在地震荷载作用下,I型裂纹的动应力强度因子在隧道结构的安全中起控制作用。当裂纹的长度大于某特定值时,隧道处于很危险的状态。 相似文献
5.
Akira Takada 《Bulletin of Volcanology》1989,52(2):118-126
A system of propagating cracks may explain magma transport and the evolution of a volcano. This paper considers only a basaltic magma. The system is controlled by two boundary conditions: the stress field, and the production rate of the magma-filled cracks in the mantle. Numerical solutions of crack propagation for various stress conditions, with a constant production rate high enough to coalesce isolated cracks, were performed, and the results applied to different tectonic conditions. For the hydrostatic stress conditions, most magma-filled cracks beneath a polygenetic volcano become trapped either in the lower crust, because there the density difference between magma and the host rocks () becomes suddenly small, compared with that in the mantle, or trapped in the upper crust, because there is near to zero. Magma traps composed of such cracks may grow into magma reservoirs if the production rate of cracks in the mantle is large. If horizontal stress with a vertical gradient is superimposed on the hydrostatic condition in the crust, that is, tensile stress which increases upward or compressional stress which increases downward, magmafilled cracks, even if the density of magma is higher than that of the crust, may ascend directly without trapping. When the crust undergoes relative tension, magma-filled cracks may become trapped. Then, the lower part of the trap may grow into a magma reservoir, while the upper part may become filled with dikes. When the production rate of cracks is small, an initial magma-filled crack can rise directly to the surface only when the stress with a gradient is superimposed as mentioned above, or when the average density in a crack decreases, owing to, for example, vesiculation of volatile components. 相似文献
6.
7.
Teruo Yamashita 《Pure and Applied Geophysics》1990,132(3):545-568
The effect of randomly distributed cracks on the attenuation and dispersion ofSH waves is theoretically studied. If earthquake ruptures are caused by sudden coalescence of preexisting cracks, it will be crucial for earthquake prediction to monitor the temporal variation of the crack distribution. Our aim is to investigate how the property of crack distribution is reflected in the attenuation and dispersion of elastic waves.We introduce the stochastic property, in the mathematical analysis, for the distributions of crack location, crack size and crack orientation. The crack size distribution is assumed to be described by a power law probability density (p(a) a
– fora
minaa
max according to recent seismological and experimental knowledge, wherea is a half crack length and the range 13 is assumed. The distribution of crack location is assumed to be homogeneous for the sake of mathematical simplicity, and a low crack density is assumed. The stochastic property of each crack is assumed to be independent of that of the other cracks. We assume two models, that is, the aligned crack model and the randomly oriented crack model, for the distribution of crack orientation. All cracks are assumed to be aligned in the former model. The orientation of each crack is assumed to be random in the latter model, and the homogeneous distribution is assumed for the crack orientation. The idea of the mean wave formalism is employed in the analysis, and Foldy's approximation is assumed.We observe the following features common to both the aligned crack model and the randomly oriented crack model. The attenuation coefficientQ
–1 decays in proportion tok
–1 in the high frequency range and its growth is proportional tok
2 in the low frequency range, wherek is the intrinsic wave number. This asymptotic behavior is parameter-independent, too. The attenuation coefficientQ
–1 has a broader peak as increases and/ora
min/a
max decreases. The nondimensional peak wave numberk
p
a
max at whichQ
–1 takes the peak value is almost independent ofa
min/a
max for =1 and 2 while it considerably depends ona
min/a
max for =3. The phase velocity is almost independent ofk in the rangeka
max<1 and increases monotonically ask increases in the rangeka
max>1. While the magnitude ofQ
–1 and the phase velocity considerably depend on the orientation of the crack in the aligned crack model, the above feature does not depend on the crack orientation.The accumulation of seismological measurements suggests thatQ
–1 ofS waves has a peak at around 0.5 Hz. If this observation is combined with our theoretical results onk
p
a
max, the probable range ofa
max of the crack distribution in the earth can be estimated for =1 or 2. If we assume 4 km/sec as theS wave velocity of the matrix medium,a
max is estimated to range from 2 to 5 km. We cannot estimatea
max in a narrow range for =3. 相似文献
8.
9.
为了研究地震过程中断层面的相互作用,设计了四类裂纹面状况不同的断裂力学实验。实验结果表明,裂纹面的状况对于含裂纹材料的σc(21/2)值有强烈的影响,并利用断裂力学的原理对结果进行了分析。 实验中解决了如下技术关键: 1.可用三点弯曲、局部受拉、单面启裂、双面贯穿的方法,在脆性材料板状试件（玻璃板、岩石板）以及有机玻璃板中预制中心穿透裂纹。 2.在裂纹端部预计裂纹扩展的区域内粘贴电阻应变片,用以判断并测量裂纹初始扩展及其相应的破坏应力σc的方法。 相似文献
10.
11.
IntroductionCHEN (1981), GENG, et al (1980), YAO (1981) and others have found out that different stress paths can lead to fracture. They have further studied the precursory features of wave velocity ratio, acoustic emission, and so on, in this situation. YIN (1987), YIN and YIN (1991), Yin, et al (1994, 1995, 2000) have put forward the concept of loading-unloading response ratio. When a mechanical test system is in a stable state, the path of its response to loading is the same as that… 相似文献
12.
本文介绍了以激光全息干涉法观测单轴压缩下,大理岩岩样表面的变形位移场。全息干涉图可以反映出由于岩石内部微裂隙丛集激增所导致的变形局部化,实验采用板状大理岩试件,在中心处预制了不同角度的裂缝,实验在MTS伺服压机中加载直至宏观破坏,观测了裂隙的发展过程。实验表明:当裂缝角小于45时,先在裂缝尖端处的张应力集中部位出现新裂纹,它的起裂角(与原裂缝的交角)90,裂纹弯向压力方向并趋于稳定。当>45时,在上述张裂纹稳定后,在裂缝尖端附近再次发生张裂,其起裂角60,同样弯向压力方向后稳定。在这些前期张破裂稳定后,在张裂的相反方向,也即裂缝的共轭方向上,出现内部微裂隙的丛集,并随后发生宏观的剪破坏,我们认为此逆向剪切破坏与大理岩的多晶组构有关,与应变弱化过程中变形和应力的调整有关。 相似文献
13.
加载破裂和卸载破裂的焦散阴影区动态特征的实验研究 总被引：6，自引：3，他引：6
以实时全息干涉计量方法和焦散阴影光学法，用有机玻璃试样直观、形象地研究加载过程和卸载过程破裂时的应力（应变）场、塑性区或成核区（阴影区）不同地动态特征变化．结果发现，在低应力时，预制裂缝端点先出现应变核（条纹密集区），进而形成焦散阴影区．这些核和阴影区会随荷载增加变大，随卸载而减小．在一定的压力范围内重复加载卸载（循环加载），焦散阴影区则反复增大缩小；但在高应力时，尤其在将出现大破裂时，加载和卸载的焦散阴影区变化是不可逆的，其变化也完全不同．加载破裂时的焦散阴影区由慢到快迅速扩展；而卸载时的焦散阴影区则扩展较慢，并且在尖角形前方有一圆形阴影． 相似文献
14.
We theoretically study the scattering ofP, SV andSH waves by a zonal distribution of cracks, which simulates a fault fracture zone. An investigation is conducted how the geometrical properties of the crack distribution and the frictional characteristics of the crack surface are reflected in the attenuation and dispersion of incident waves, as well as in the amplitudes of the transmitted and reflected waves from the zone. If the crack distribution within the fault zone changes temporally during the preparation process of the expected earthquake, it will be important for earthquake prediction to monitor it, utilizing the scattering-induced wave phenomena.We consider the two-dimensional problem. Aligned cracks with the same length are assumed to be randomly distributed in a zone with a finite width, on which elastic waves are assumed to be incident. The distribution of cracks is assumed to be homogeneous and sparse. The crack surface is assumed to be stress-free, or to undergo viscous friction; the latter case simulates fluid-filled cracks. The opening displacement of the crack is assumed to be negligibly small. The idea of the mean wave formalism is employed in the analysis, and Foldy's approximation is assumed.When the crack surface is stress-free, it is commonly observed for every wave mode (P, SV andSH) that the attenuation coefficientQ
–1 peaks aroundka1, the phase velocity is almost independent ofk in the rangeka<1 and it increases monotonically withk in the rangeka>1, wherek is the intrinsicS wavenumber anda is the half length of the crack. The effect of the friction is to shift the peak ofQ
–1 and the corner of the phase velocity curve to the low wavenumber range. The high wavenumber asymptote ofQ
–1 is proportional tok
–1 independently of model parameters and the wave modes. If the seismological observation thatQ
–1 ofS waves has a peak at around 0.5 Hz in the earth's crust is combined with our results, the upper limit of crack size within the crust is estimated about 4 km. The information regarding the transmitted and reflected waves, such as the high wavenumber limit of the amplitude of the transmitted wave etc., allows estimation of the strength of the friction. 相似文献
15.
The dynamic response of unreinforced concrete structures is studied taking account of initiation, extension, closing and reopening of so-called discrete cracks. The computational procedure is based on the finite-element method and is at present restricted to two-dimensional situations. The discrete cracks are simulated by separation of originally adjacent finite elements. An equivalent tensile-strength criterion is used for the initiation and extension of the cracks which are assumed to propagate perpendicularly to the principal tensile stress. If this direction does not coincide with the interelement boundaries of the finite-element mesh, the latter is automatically altered. Between elements being separated by a crack special ‘crack elements’ are introduced, which take account of the stress transfer by aggregate interlock. The equations of motion are integrated numerically using an explicit formulation. The procedures outlined are demonstrated on a simplified cross-section of a concrete gravity dam subjected to horizontal earthquake excitation. 相似文献
16.
The physical meaning of the characteristic displacement that has been observed in velocity-stepping friction experiments was investigated based on the micromechanics of asperity contact. It has been empirically found for bare rock surfaces that the magnitude of the characteristic displacement is dependent only on surface roughness and insensitive to both slip velocity and normal stress. Thus the characteristic displacement has been interpreted as the displacement required to change the population of contact points completely. Here arises a question about the physical mechanism by which the contact population changes. Because individual asperity contacts form, grow and are eliminated with displacement, there are at least two possible interpretations for the characteristic displacement: (1) it is the distance over which the contacts existing at the moment of the velocity change all fade away, being replaced by new asperity contacts, or (2) it is the distance required for a complete replacement in the real contact area that existed at the moment of the velocity change. In order to test these possibilities, theoretical models were developed based on the statistics of distributed asperity summits. A computer simulation was also performed to check the validity of the theoretical models using three-dimensional surface topography data with various surface roughnesses. The deformation was assumed to be elastic at each asperity contact. The results of both the simulation and the theoretical models show that the characteristic displacement in (1) is about three times longer than that in (2). Comparison of the results with the experimental observations obtained by others indicates that the possibility (2) is the correct interpretation. This means that the state in the rate and state variable friction law is memorized in a very confined area of real contact. Further, our results explain why the characteristic displacement is insensitive to normal stress: this comes from the fact that the microscopic properties such as the mean contact diameter are insensitive to normal stress. The approach based on the micromechanics of asperity contact is useful to investigate the underlying mechanism of various phenomena in rock friction. 相似文献
17.
本文以共线剪切裂纹的归并为例,研究裂纹系的动态相互作用．实验结果表明：在张破裂的意义上,小间距共线剪切裂纹的内端部实际上是阻碍结构,通过迂回弯曲的张破裂归并．本文提出一种估计张破裂扩展途径的近似方法,利用张应力破裂判据找出了潜在的破裂扩展途径的第一近似,较好地模拟了共线裂纹的破裂途径,和现有的数值模拟方法比较,可以大大缩短机时,简化计算程序,保证精确度．本研究结出了岩石剪切破裂“隧道效应”（即破裂跳过障碍体,而障碍体本身不破坏）的机理,还给出了脆性介质在摩擦、磨损过程中碎屑产生的机理． 相似文献
18.
A model has been developed to simulate the statistical and mechanical nature of rupture on a heterogeneous strike-slip fault. The model is based on the progressive failure of circular asperities of varying sizes and strengths along a fault plane subjected to a constant far-field shear displacement rate. The basis of the model is a deformation and stress intensity factory solution for a single circular asperity under a unidirectional shear stress. The individual asperities are unified through the fault stiffness and the far-field stress and displacement. During fault deformation asperities can fail and reheal, resulting in changes in the local stresses in the asperities, stress drops, and changes in the stiffness of the fault. Depending on how the stress is redistributed following asperity failure and on the strenghts of the neighboring asperities an earthquake event can be the failure of one or more asperities. Following an earthquake event seismic source parameters such as the stress drop, energy change, and moment magnitude are calculated. Results from the model show a very realistic pattern of earthquake rupture, with reasonable source parameters, the proper magnitude-frequency behavior, and the development of characteristic earthquakes. Also the progression ofb-values in the model gives some insight into the phenomenon of self-organized criticality. 相似文献
19.
本文利用边界积分方程方法,以基于三角形网格的全空间格林函数及离散积分核计算为基础,进行了最常见的弯折断层的破裂传播过程模拟.为了去除边界积分方程方法中格林函数计算存在的高度奇异性,研究采用分部积分等方法对动力学方程进行了重整化和离散化处理.地震力学过程可以被视为断层由静摩擦转为动摩擦的过程,对于震源破裂过程的动力学模拟,摩擦准则起着重要作用,本研究采用常用的滑动弱化摩擦准则.计算引入Courant-Friedrich-Lewy比值来表达场点的影响,并控制计算的收敛性和稳定性.通过与典型算例的比对,检验了方法的正确性和有效性.地震破裂能否穿越断层弯折部位继续传播是震源动力学研究的重要内容,基于此,本文建立了多种理论弯折断层模型,模拟了断层弯折对地震破裂传播的控制作用,并通过改变断层周边初始应力场、断层弯折角度大小以及滑动弱化距离大小等来分析各个因素对破裂传播的影响.模拟结果表明:断层面上初始破裂区域内外的应力越高,破裂越容易越过断层弯折部位继续传播;初始破裂区域半径越大,或滑动弱化距离越小,破裂也越容易发生,并越过弯折部位继续传播.同样的初始条件,断层弯折角度越大,断层弯折作为障碍体,对破裂传播的阻碍作用越显著.小的弯折角,其破裂传播过程与平面断层差别不明显,基本仍以椭圆方式对称向两侧传播. 相似文献
20.
The previously developed two-dimensional boundary element procedure for analysing the propagation of a single discrete crack is extended to simultaneous multiple cracking in concrete gravity dams. A brief discussion of the generalized methodology is presented and the validity of the extended procedure is verified by performing a fracture analysis of the Fongman dam and comparing the predicted rupture process with the available experimental results. The fracture response of the Koyna dam is then studied extensively under the Koyna earthquake. Both single and multiple cracking models are employed to investigate the fracture process as well as final rupture in the dam. Similar final damage involving complete separation of the crest block of the dam is predicted, irrespective of whether single or multiple crack propagation models are employed. In relation to the phenomenon of hydrodynamic uplift pressure within propagating cracks, openings of the crack on the upstream face of the dam are examined in particular. The results indicate that this phenomenon is not expected to be significant during the crack development phase, and hence unlikely to affect the final rupture characteristics of dams undergoing strong earthquake excitation. 相似文献