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利用双向伺服控制装置,对含有与最大主压应力σ1呈45°夹角的预切面的花岗闪长岩标本进行了摩擦实验,结果表明,在σ1方向位移速率恒定、侧向应力σ2恒定的条件下,粘滑间隔随滑动面上正应力的增加而增加,粘滑应力降也随滑动面上正应力的增加而呈线性增加。但当σ2叠加了高频小振幅的正弦波扰动时,这种相关性发生了明显的变化,应力降大小和粘滑间隔的离散度均显著提高,特别是应力降可能会大幅度增加。与σ1扰动的实验结果相比,σ2扰动对断层粘滑的影响更为显著,这主要归因于正应力变化使滑动面的非均匀性加剧 相似文献
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在与主压应力方向斜交的断层上,正应力与剪应力之间存在线性相关关系,以此为基础导出了小扰动条件下决定稳定性的临界刚度与滑动速率的关系。由于这一关系具有临界刚度随滑动速率增加而减小的特点,因此速率增加可能导致周期性粘滑向稳定滑动转化,而速率减小可能使本来稳定的滑动转化为周期性粘滑过程。在这种斜交断层中,速率增加虽然可能抑制周期性粘滑,但是稳滑时超过一定限度的速率增加会导致一次性不稳定滑动。三轴摩擦实验提供了关于粘滑与稳滑可相互转化的支持证据 相似文献
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利用双轴伺服控制加载装置,采用3块花岗闪长岩标本组成的含有2个滑动面的直剪结构,开展了摩擦滑动实验。实验中通过在剪切方向上叠加正弦波状的位移扰动,研究了剪应力扰动对断层粘滑失稳的影响。研究表明,在恒定的正应力和位移速率下,标本表现出较为规则的粘滑;当在剪切方向叠加位移扰动后,随扰动振幅的增加,粘滑发生时间与扰动的相关性增大,粘滑的应力降和时间间隔的分布趋于离散,其中扰动能产生明显影响的临界振幅大致为0.05MPa;粘滑应力降和时间间隔随扰动振幅增大而逐渐离散的现象在较高正应力下更为明显,而相同扰动振幅下粘滑失稳发生时间与扰动的相关性也随正应力增加而增大;扰动周期对摩擦性状的影响不明显。研究结果意味着,地震引起的同震剪应力的变化不仅会引起邻近断层上地震发生时间的变化,也可能引起地震强度的变化 相似文献
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众所周知.岩石的摩擦滑动有两种方式,一种是粘滑,另外一种是稳滑.当发生粘滑时,应力突然下降并伴随有急剧的能量释放.从1966年 Brace 等人指出粘滑可能是导致浅源地震的原因以来,粘滑作为一种震源机制已引起地震学家的普遍关注.但是,粘滑的研究还有许多问题,如粘滑发生的条件,围压对粘滑及其应力降的影响,特别是室内粘滑实验应力降远高于天然地震应力降这一问题,到目前还没有解决(陈顒,1988).本文建立了一个岩石摩擦的自锁模型,这一模型能够反映围压与粘滑之间的关系.分析结果表明,天然地震应力降低于室内粘滑实验应力降是由围压刚度引起的. 相似文献
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均匀和非均匀断层滑动失稳成核过程的实验研究 总被引：6，自引：0，他引：6
基于均匀和非均匀断层摩擦滑动中应变、断层位移的实验测量结果,分析了粘滑失稳的成核过程。研究表明,在加载点速度恒定的条件下,均匀断层上粘滑的成核过程具有微弱的滑动弱化特征,断层上较小尺度“弱段”的存在使得粘滑成核过程中滑动弱化现象更明显,而较大尺度“弱段”的存在则改变了粘滑的成核过程,表现出局部加速滑动——断层带上剪应力快速增加的特征,更符合速率-状态摩擦定律。断层闭锁期间,剪应力的增加引起断层附近的横向弹性膨胀,这种弹性膨胀在失稳时的回跳引起断层面上正应力的瞬时增加,从而成为使断层迅速闭锁、强度恢复的重要因素。 相似文献
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断层上的地震成核过程与前兆模拟研究 总被引：7，自引：0，他引：7
为了把握断层上地震的前兆规律,对连续介质中断层面上的地震成核过程进行了数值模拟研究。摩擦采用了速率及状态依赖怀本构关系,并考虑了正应力变化的影响。结果表明,在成核的后期阶段：①最大位移速率单调加速增加;②滑动热点（最大滑动速率处）在后期阶段开始自发性迁移,且在空间上③当最大滑动速率达到可以明显探测的量级时（高于加载速率一个数量级以上）,倒刘时间为２０小时或更长一些,这时的速率变化可作为临震预测标志 相似文献
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用双剪法对济南辉长岩和点苍山大理岩进行了摩擦滑动实验.实验中的应力变化方式有两种.A 型实验:先使断层面上的正应力增加到一定值,然后保持正应力不变,并增加剪应力使断层发生粘滑;B 型实验:先使断层面上的正应力增加到一定的值,保持正应力不变,并增加剪应力到断层发生粘滑前的某一应力状态,再保持剪应力不变,减小正应力直到粘滑发生.实验表明,B 型实验中岩石的摩擦强度高于 A 型实验.A 型实验中粘滑发生前有声发射率增加的前兆,B 型实验中粘滑发生前看不到声发射率的明显增加.由实验得到一个启示,即闭锁断层的开锁可能采取两种形式:一种是冲开闭锁,即以剪应力的增加使断层发生错动;另一种是解开闭锁,即以正应力的减小使断层发生错动.断层的粘滑采取哪种形式,由断层带的应力变化途径决定. 相似文献
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应用双剪法对滇西地震实验场岩石的摩擦滑动特性进行了研究。实验的岩石有花岗岩、玄武岩、正长岩和片麻岩。实验的正应力为10—40MPa。实验表明,花岗岩、玄武岩和正长岩三种岩石,当正应力为10MPa时发生稳滑,当正应力超过10MPa时发生粘滑。稳滑与粘滑过程均出现位移强化现象。片麻岩当正应力为10MPa时发生稳滑,当正应力超过10MPa时样品未滑动而发生破裂。摩擦强度值比Byerlee定律的值稍低。与济南辉长岩相比,滇西三种岩石粘滑发生时的平均应力降较低,平均错距较小,平均重复周期较短。花岗岩粘滑前声发射率明显增加,玄武岩与正长岩粘滑前声发射率变化不明显。 相似文献
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利用双轴伺服控制加载装置,采用三块花岗闪长岩标本组成的含有两个滑动面的直剪结构,开展了摩擦滑动实验.实验中通过在垂直滑动面的载荷上叠加正弦波状和方波状的扰动,研究了正应力扰动对断层黏滑失稳的影响.研究表明,在恒定的正应力和位移速率下,标本表现为规则的黏滑,叠加正应力扰动后,随扰动振幅的增加黏滑发生时间与扰动的相关性增大,黏滑应力降和时间间隔的分布趋于离散.黏滑应力降和时间间隔的平均值随平均正应力的增加呈线性增长,扰动叠加后黏滑应力降的离散度随平均正应力的增加而增大;黏滑应力降和时间间隔主要受应力变化幅度的影响,而与应力变化的速率关系不大.剪应力和正应力扰动都会对断层黏滑失稳产生影响,而正应力扰动的影响更明显.这两种扰动对断层黏滑失稳影响的机制存在差异,剪应力扰动只是改变断层滑动的推动力,而正应力扰动则改变了断层面上凹凸体的接触状态. 相似文献
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在热水条件下对辉长岩的2种主要组成矿物斜长石和辉石进行了摩擦滑动实验研究。结果表明:1)斜长石在整个实验温度范围内(<607℃)显示速度弱化,而辉石除了在200℃附近表现出微弱的速度强化外,在其他温度范围也都表现为速度弱化;2)斜长石在低温时强度随温度的升高而略有增加,高温时强度则随温度的升高而降低。辉石的摩擦强度随着温度的增加没有系统性的变化,在0.74上下波动;3)在热水条件下辉长岩的摩擦性质并不是这2种主要矿物的叠加,有可能是辉长岩中的次要矿物的存在导致了辉长岩的速度强化;4)本实验所得热水条件下的实验结果与干燥条件下的结果有很大差异,再一次表明水的存在极大地影响了岩石的摩擦稳定性 相似文献
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The dynamic motions and stabilities of a single-degree-of-freedom elastic system controlled by different friction laws are compared. The system consists of a sliding block connected to an elastic spring, driven at a constant velocity. The friction laws are a laboratory-inferred friction law called the rate-and-state-dependent friction law, proposed by Dieterich and Ruina, and a simple friction law described by dynamic and static frictions. We further extend the solution to a one-dimensional mass-spring model which is an analog of a fault controlled by the rate-and-state-dependent friction law. This model predicts non uniform slip and stress drop along the rupture length of a heterogeneous fault. This result is very different from some earlier modelings based on the simple friction law and a slip weakening friction law. In those earlier modelings the stress and slip functions become smoother with time along the length of the fault rupture, owing to the interactions between fault segments during slip. Because of this smoothing process the number of small events will decrease with time, and the universilly observed stationary magnitude-frequency relation cannot be explained. The interaction between a fault segment and its neighboring segments can be measured when the post-slip stress on this segment is compared with the stress on an identical segment (represented by a block in this modeling) without neighboring segments. If the post-slip stress of the former is much higher than that of the latter, strong interaction exists; if the two are close, only weak interaction exists. The interaction is determined by the relative motion between fault segments and the time duration of interaction. Our new modeling with the rate-and-state-dependent friction law appears to show no such smoothing effect and provides a physical mechanism for the roughening process in the difference between the fault strength and stress that is necessary to explain the observed stationary magnitude-frequency relation. The noninstantaneous healing predicted by the rate-and-state-dependent friction law may be repsonsible for the recurring nonuniform slip and stress drop, and may be explained by the reduction of interaction among fault segments due to the low frictional strength during the fault stopping. The very low friction during slip stopping allows much longer times than does the higher friction due to instantaneous healing for the fault segments to adjust their motions from an upper-limit slip velocity to almost rest. According to newton's second law, a process with fixed masses and constant velocity changes involves low forces and weak interactions if it is accomplished in a long time period, and vice versa. Our modeling also indicates that the existence of strong patches with higher effective stress on a fault is needed for the occurrence of major events. The creeping section of a fault, such as the one along the San Andreas fault in central California, on the other hand, can be simulated with the rate-and-state-dependent friction law by certain model parameters, which, however, must not include strong patches. In this case small earthquakes and aseismic creep relieve the accumulating strain without any large events. 相似文献
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J. C. Gu 《Pure and Applied Geophysics》1984,122(5):662-679
General analytical expressions for the friction stress and state variable, based on a rate and state-dependent constitutive friction law proposed by Dieterich and Ruina, have been obtained as an explicit function of slip rateV or slip timet or slip displacement δ under the assumption that slip accelerationa is constant or piecewise constant. Properties of the solutions have been discussed, and reviewed, for uniformly accelerating (or decelerating) slip, the following.
- Frictional stress increases (or decreases) with increasing time, or slip rate, or slippage at the beginning of motion, until a maximum (or a minimum) value (when it exists) has been reached, then decreases (or increases), and finally approaches a special frictional state, namely a steady state, for which stress depends on instantaneous slip rate.
- The maximal value of frictional stress is dependent on accelerationa; the larger thea, the larger the magnitude of the maximum.
14.
Effect of varying normal stress on stability and dynamic motion of a spring-slider system with rate- and state-dependent friction 
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下载免费PDF全文 Incorporating rate and state friction laws, stability of linearly stable (i.e., with stiffness greater than the critical value) spring-slider systems subjected to triggering perturbations was analyzed under variable normal stress condition, and comparison was made between our results and that of fixed normal stress cases revealed in previous studies. For systems associated with the slip law, the critical magnitude of rate steps for triggering unstable slips are found to have a similar pattern to the fixed normal stress case, and the critical velocity steps scale with a/(b - a) when k = kcr for both cases. The rate-step boundaries for the variable normal stress cases are revealed to be lower than the fixed normal stress case by 7 %–16 % for a relatively large α = 0.56 with (b - a)/a ranging from 0.25 to 1, indicating easier triggering under the variable normal stress condition with rate steps. The difference between fixed and variable normal stress cases decreases when the α value is smaller. In the same slip-law-type systems, critical displacements to trigger instability are revealed to be little affected by the variable normal stress condition. When k ≥ kcr(V*), a spring-slider system with the slowness law is much more stable than with the slip law, suggesting that the slowness law fits experimental data better when a single state variable is adopted. In stick-slip motions, the variable normal stress case has larger stress drops than the constant normal stress case. The variable normal stress has little effect on the range of slip velocity in systems associated with the slowness law, whereas systems associated with the slip law have a slowest slip velocity immensely smaller than the fixed normal stress case, by ~10 orders of magnitude. 相似文献
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基于大量岩石力学实验,Dieterich和其他研究者(Dieterich,1978;Ruina,1983)首先提出了描述岩石摩擦过程的速率-状态摩擦定律(R-S摩擦定律).如今R-S摩擦定律已成为研究地震成核等地震演化机制的有效手段.Dieterich(1992,1994)最早提出了描述受静态剪应力扰动后断层失稳时间提前或推后的余震触发机制的解析模型.现在Dieterich模型已经成为解释余震随时间衰减规律的Omori定律等地震观测现象的有力工具.与之相对应,广泛使用的Coulomb应力失稳模型也可以给出断层受到静态剪应力扰动后,断层失稳时间的提前和推后量.Dieterich模型和Coulomb应力失稳模型基于不同的物理方法,所以在进行地震危险性评估时,二者均有各自的局限性.本文利用R-S摩擦定律控制的1-D弹簧-滑块模型,模拟计算了理论地震循环以及在不同静态剪切应力扰动下,失稳时间的提前和推后量的变化情况,然后将计算得到的时间提前和推后量分别与Dieterich模型和Coulomb模型的相应计算结果进行了定量化对比和差异性分析,并给出了相应的解释.数值模拟结果显示,对于R-S摩擦定律在参数不变的条件下,断层模型失稳时间的提前和推后量的大小强烈依赖于静态剪应力扰动的大小和作用时间,而且绝对值相同的正、负向静态剪应力扰动造成的失稳时间的提前和推后量的变化情况并不完全一致.在震后松弛/滑移阶段和闭锁阶段,时间提前和推后量是常数,且随静态剪应力扰动绝对值的增大而增大,两者的比值接近于1.0,这与Dieterich模型和Coulomb模型的结果是一致的,相应的差值小于两模型结果的10%.而在自加速阶段,模拟计算结果则存在与Dieterich模型和Coulomb模型结果不同的特征.首先,在自加速阶段模拟计算结果均偏离Coulomb模型,而且时间提前和推后量的比值小于1.0,相异于Coulomb模型的论断.不过当受到正向静态剪应力扰动后,Dieterich模型的结果和模拟计算结果是一致的,最大相差量不超过Dieterich模型结果的7%,可接近0.对于负向静态剪应力扰动,当其绝对值较小时,Dieterich模型的结果很接近模拟计算结果,相差量不超过该结果的14%.但对于绝对值较大的情况,模拟计算结果远大于Dieterich模型的结果,最大可达Dieterich模型结果的35倍,这是由于负向静态剪应力扰动后使得Ω=δ·θ/dc1的条件不再成立,进而使得Dieterich模型不再成立.总的来说,与模拟计算相比Dieterich模型可以很好地描述1-D断层受扰后失稳时间提前和推后量的变化情况,并且可以体现出正、负静态剪切应力扰动后失稳时间提前量和推后量变化的差异性,而Coulomb模型则不能完整地给出受到静态剪应力扰动后断层失稳时间提前或推后的估计值. 相似文献
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An understanding of the frictional sliding on faults that can lead to earthquakes requires a knowledge of both constitutive behavior of the sliding surfaces and its mechanical interaction with the loading system. We have determined the constitutive parameters for frictional sliding of initially bare surfaces of Westerly granite, using a recently developed high pressure rotary shear apparatus that allows long distances of sliding and therefore a greater assurance of attaining steady state behavior. From experiments conducted at room temperature and normal stresses of 27–84 MPa several important results have been found. (1) A gouge layer 100 to 200 m thick was developed from the initially bare rock surfaces after 18 to 70 mm of sliding. (2) The steady state frictional resistance, attained after about 10 mm of sliding, is proportional to the negative of the logarithm of the sliding velocity. (3) Abrup changes in the velocity of sliding result in initial changes in the frictional resistance, which have the same sign as the velocity change, and are followed by a gradual decay to a new steady state value over a characteristic distance of sliding. This velocity weakening behavior is essentially identical with that found by several previous workers on the same material at lower normal stress. (4) Our results are well described by a two state variable constitutive law. The values of the constitutive parameters are quite similar to those found previously at low normal stress, but the characteristic distance is about an order of magnitude smaller than that found at 10 MPa normal stress with thicker layers of coarser gouge. (5) We have approximated our results with a one state variable constitutive law and compared the results with the predictions of existing nonlinear stability analysis; in addition, we have extended the stability analysis to systems possessing two state variables. With such formulations good agreement is found between the experimentally observed and theoretically predicted transitions between stable and unstable sliding. These results allow a better understanding of the instabilities that lead to earthquakes. 相似文献
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地震是断层的摩擦失稳过程.摩擦本构关系对断层的破裂成核、破裂传播、破裂速度、能量释放、破裂终止等起着至关重要的控制作用.为了比较不同摩擦关系在断层自发破裂动力学过程中的影响,文中引入目前应用最为广泛的4种典型摩擦本构关系,它们分别是：滑移弱化摩擦关系,速率弱化摩擦关系,以及速率-状态相依摩擦关系中的老化定律和滑动定律.研究中利用有限单元方法对上述4种摩擦关系控制的断层自发破裂过程分别进行模拟计算,模拟结果显示：当模型参数相同时,不同摩擦关系模拟的破裂行为总体上具有一致性,都可以产生亚剪切破裂或超剪切破裂,并且破裂传播速度的大小与摩擦本构关系的类型无关.此外,它们之间还存在着较大的差异：（1）速率弱化摩擦关系可以模拟脉冲型破裂;而其他3个摩擦关系只能模拟裂纹性破裂.（2）不同摩擦关系模拟的超剪切破裂转换长度不同,速率-状态相关摩擦关系的老化定律相比其他摩擦关系需要更大的转换长度才能实现亚剪切破裂转变为超剪切破裂;而速率弱化的摩擦关系的超剪切转换长度可以为0,即不需要转换距离就直接产生超剪切破裂.（3）速率弱化摩擦关系模拟的破裂速度自成核后很快就达到稳定值;而其他类型摩擦关系模拟的破裂传播则要经历由缓慢破裂到逐渐加速直至达到稳定破裂的过程.值得特别指出的是,本文所使用的4种摩擦关系都不能完整地反映实际大地震破裂过程的摩擦属性,需要进一步深入研究. 相似文献
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余震触发机制的Dieterich解析模型被广泛应用于区域地震活动性的定量分析以及依赖时间的概率地震预测模型的建立等方面. 基于滑移速率和状态相依赖的摩擦定律和弹簧-滑块模型, 从Dieterich断层滑移速率方程出发, 给出了静态应力扰动下触发地震的时钟提前或推后的近似解, 从而明确地阐明了触发地震的产生机制与断层的演化过程密切相关, 并与传统位错模型下库仑应力扰动时间提前或推后量作了比较. 采用对数线性拟合方法求得了汶川MW7.9主震后余震序列持续时间, 符合Dieterich理论结果. 以汶川余震序列为例, 给出了两种不同的应力扰动模式在该余震序列中的应用. 结果表明, 经典Dieterich扰动解无法给出主震发生后即时余震数量的异常增加, 而考虑主震前后剪应力速率变化的Dieterich分段解则可反映出余震发生率及个数随时间的演化特征. 相似文献
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Shengli Ma Liqiang Liu Jin Ma Kaiying Wang Xiaoyan Hu Tianchang Liu Xiuquan Wu 《中国科学D辑(英文版)》2003,46(2):56-66
The nucleation process of stick-slip instability was analyzed based on the experimental measurements of strain and fault slip on homogeneous and non-homogeneous faults. The results show that the nucleation process of stick-slip on the homogeneous fault is of weak slip-weakening behavior under constant loading point velocity. The existence of a short “weak segment” on the fault makes slip-weakening phenomenon in nucleation process more obvious, while the existence of a long “weak segment” on the fault makes the nucleation process changed. The nucleation is characterized by accelerating slip in a local region and rapid increase of shear stress along the fault in this case, which is more coincident with the rate and state friction law. During the period when fault is locked, increasing of shear stress causes lateral elastic dilation near the fault, and the rebound of the dilation at the time of instability causes an instantaneous increase of normal stress in the fault plane, which is an important factor making fault be rapidly locked and its strength recovered. 相似文献