负坡段加卸载响应比的物理意义及预测效能

根据实验结果，用应变能研究岩石在极值应力后主破裂前（负坡段）加卸载响应比可能出现奇异点或负值的变化特征，并且说明其普遍性．以应变（能）及Ｐ波走时为响应，分别得出加卸载响应比的倒数在岩石破裂孕育过程中的变化形态．结果表明:在逼近主破裂时，加卸载响应比的倒数急剧下降后出现极小值（甚至为负值）．此特征可以看作临近主破裂的标志．      

地震预测的加卸载响应比岩石实验模拟

我们在中科院力学所非线性连续介质力放实验室材料试验机上做了岩石压缩破坏的加卸载实验,得到了以应变为尖的加卸载响应比。     

The Experimental Simulation of Rocks on Load/Unload Response Ratio for Earthquake Prediction

The load/unload experiments on rock failure under pressure have been carried out in Material Test System (MTS) in the Laboratory for Non-linear Mechanics of Continuous Media (LNM), Institute of Mechanics, Chinese Academy of Sciences, and load/unload response ratio (LURR) values with strain as response (i.e. inverse elastic constant as response rate) have been obtained. The experimental results are in accordance with theoretical results and those in real earthquakes: LURR rises just before rock failure. So LURR can be used as the precursor of rock failure and earthquake prediction.     

九寨沟M_s7.0地震前地应变LURR异常演化特征

从岩石应力-应变的本构关系出发,以能够反映岩石应变变化的地应变观测数据作为"响应量",通过库伦应力触发模型的加卸载响应比计算方法,计算2017年8月8日九寨沟M_S7.0地震前震中及周边500km范围内应变观测的加卸载响应比结果。结果显示,基于应变观测的加卸载响应比方法能够较好地从潮汐频段提取地震前LURR异常,九寨沟地震前,300km范围内的多个应变观测台站出现LURR异常,其中相距96km的两水台EW分量Y值最大达到3.27;LURR空间演化特征显示,在震前约9个月内震中及周边地区陆续出现异常"集中—增强—减弱"过程,证明该地区在长期应力累积的背景下,应力的不断累积增强导致震中及附近区域的岩石出现不断损伤或弱化,最终位于树正断裂上的应变能积累超过了介质强度而引发了此次地震。     

大桥水库4.6级地震前后的库水加卸载响应比变化特征

多年的实测数据表明,大桥水库的坝前水位年变化约40m,库水对库盆的静压变化大约为4×105Pa,比固体潮的作用大2个量级,水库的蓄水和放水是对库区影响最大的加卸载力源。根据加卸载响应比理论(LURR),用库区的地震频次和能量分别研究在大桥水库诱发M_S4.6地震前后加卸载响应比的变化。结果表明:在大桥水库及附近相对较大的范围和水体附近相对较小的范围内,当库水加载过程中发生小震群时,地震频次加卸载响应比Y_n和C_r值显示高值异常,表明研究区岩石处于临近破裂状态,其后发生4.6级水库诱发地震;蓄水前后地震频次库水加卸载响应比Y_n和C_r值的平均值有明显差异;在大桥水库诱发的4.6级地震前,库水加卸载作用导致的地震频次及能量的加卸载响应比在震前存在明显的高值异常,震后异常消失。大桥4.6级震例表明库水加卸载响应比可有效应用于水库诱发地震的监测预报     

新疆中强地震前加卸载响应比时空演化特征分析与检验

加卸载响应比是一种刻画震源区介质损伤程度的物理学参数,它通过随时间的变化来反映地震孕育的过程来进行地震预测。通过对1990—1999年新疆地区部分中强地震前加卸载响应比时空演化特征进行分析,并基于该理论得到孕震积分的概念应用于震例中。结果表明:中强震震前在震中附近可能存在多个高加卸载响应比值区,它们大致围成椭圆状或环状,地震通常发生在异常高值波动或减弱的过程中;异常峰值至发震时间比理论时间要短,这可能表明新疆地区构造活动剧烈,孕震周期较短。     

Simulation of the Load-Unload Response Ratio and Critical Sensitivity in the Lattice Solid Model

— The Load-Unload Response Ratio (LURR) method is an intermediate-term earthquake prediction approach that has shown considerable promise. It involves calculating the ratio of a specified energy release measure during loading and unloading where loading and unloading periods are determined from the earth tide induced perturbations in the Coulomb Failure Stress on optimally oriented faults. In the lead-up to large earthquakes, high LURR values are frequently observed a few months or years prior to the event. These signals may have a similar origin to the observed accelerating seismic moment release (AMR) prior to many large earthquakes or may be due to critical sensitivity of the crust when a large earthquake is imminent. As a first step towards studying the underlying physical mechanism for the LURR observations, numerical studies are conducted using the particle based lattice solid model (LSM) to determine whether LURR observations can be reproduced. The model is initialized as a heterogeneous 2-D block made up of random-sized particles bonded by elastic-brittle links. The system is subjected to uniaxial compression from rigid driving plates on the upper and lower edges of the model. Experiments are conducted using both strain and stress control to load the plates. A sinusoidal stress perturbation is added to the gradual compressional loading to simulate loading and unloading cycles and LURR is calculated. The results reproduce signals similar to those observed in earthquake prediction practice with a high LURR value followed by a sudden drop prior to macroscopic failure of the sample. The results suggest that LURR provides a good predictor for catastrophic failure in elastic-brittle systems and motivate further research to study the underlying physical mechanisms and statistical properties of high LURR values. The results provide encouragement for earthquake prediction research and the use of advanced simulation models to probe the physics of earthquakes.     

加卸载响应比(LURR)理论的实验研究

利用大尺度岩石试件破坏声发射实验，对加卸载响应比(Load/Unload Response Ratio)理论进行了实验研究。实验采用的加载条件力求能够模拟地下岩石的复杂受力过程。在加载过程中，岩石试件内部出现的损伤用声发射技术进行了记录。实验数据经过分析之后所得的结论与加卸载响应比理论预测的结果相符合。把加卸载响应比值Y的变化情况与声发射事件定位的过程相对比，也可以进一步看出岩石材料内部的损伤发展过程与加卸载响应比Y值的变化具有一致性。而高Y值的异常情况出现，又是在材料发生最终破坏之前，所以，可以用加卸载响应比理论定量地分析岩石试件损伤演化情况，从而对岩石材料的破坏及地震做出预测。实验结果再一次验证了加卸载响应比理论。     

Experimental Research on the Load／Unload Response Ratio （LURR） Theory

Implementing acoustic emission experiments with large rock samples, LURR (Load/Unload Response Ratio) theory was studied. The loading conditions in the experiments were designed to simulate the complicated loading process of underground rocks. The damages emerging inside the rock samples were recorded by the acoustic emission technique during the loading process. The experimental results were consistent with prediction by LURR theory. Integrating the changing processes of LURR value Y and the location process of acoustic emission events showed agreement between the variation of LURR value Y and the damage evolution inside the rocks. Furthermore, the high value of Y emerged before the complete breakdown of materials. Therefore, the damage evolution of rock specimen can be quantitatively analyzed with LURR theory, thus the failure of the rock materials and the earthquake occurrence may be predicted. The experimental results gave a further verification of LURR theory.     

2020年6月26日于田MS6.4地震前Benioff应变和地电场加卸载响应比异常研究

加卸载响应比（Load/Unload Response Ratio,LURR）是根据岩石介质本构关系的动态演化特征提出的地震预测方法。2020年6月26日新疆于田县发生6.4级地震,震前以Benioff应变为响应量观测到明显的LURR高值异常,异常出现于2019年初,持续1年后发生地震,意味着震源区介质的应力状态在2019年发生了明显改变。进一步,以地电场为响应量,计算了距震中280km的和田地电场长、短极距共6个测向的LURR异常时序曲线,结果表明：和田地电场长、短极距的NS向和NW向共4个测向在震前1~3个月出现了LURR异常逐渐增大的同步变化,这种现象可能反映了孕震区介质因微裂隙的产生和扩展导致流体在裂隙中的运移引起的动电效应。综合分析2种不同响应量的LURR异常演化特征,有助于更深入地认知地震孕育过程,更准确地评估地震活动趋势。     

关于加卸载响应比理论运用于地震预测的几点思考

加卸载响应比理论已在地震预测中得到广泛应用，但也面临挑战。本对加卸载响应比理论及方法进行了分析，并提出该理论几个可能的研究方面：(1)根据固体潮应力变化值给定每个小地震Benio盯应变在加卸载响应比计算中的权重；(2)考虑地震之前应力空间分布，确定加卸载响应比可能升高的区域形状，进而确定加卸载响应比计算中小震资料的选取范围；(3)将实测的小震震源机制与假定小震震源机制都相同时的加卸载响应比计算结果进行比较，研究测定的小震震源机制对加卸载响应比方法的改善情况；(4)研究加卸载响应比方法对不同震源机制类型地震的适用情况。     

青海玛多MS7.4地震前LURR与OLR短临异常关联性研究

加卸载响应比(LURR)是根据岩石应力-应变关系的动态演化规律提出的地震预测方法。以Benioff应变为响应量,分析青海玛多M_S7.4地震前震中及其周边400 km内的LURR异常的演化特征发现,在震前一个月LURR值达到最高值,半个月之后出现高值回落的现象,说明此时孕震区岩石介质已进入屈服阶段的末端。在此基础上,利用NOAA卫星地面长波辐射(OLR)数据,分析高值回落后(5月14—25日)地面长波辐射值的短临异常演化规律。结果显示:震前在空间上仅仅在震中北部出现OLR显著且连续的短临异常变化并呈现向震中扩展的趋势,在时间上整个演化过程经历了初始增温-异常扩展-达到峰值-异常减弱-地震发生-异常消失等6个阶段。LURR和OLR震前短临异常特征说明,回落前的LURR高值反映了岩石介质屈服阶段的结束,OLR在一定程度上可以表征处于临界状态的活动断层的构造应力累积状态,综合研究两种物理参量震前异常演化特征,有助于更准确评估地震活动趋势。     

岩石变形破裂过程中电荷感应信号的检测

设计了采用非接触方式、高放大倍数、高效率的电荷传感器,并给出了电荷传感器的设计原理和技术指标。利用研制的电荷传感器对岩石变形破裂过程中产生的电荷感应信号进行了检测试验。结果表明,岩石在变形破裂过程中会产生电荷感应信号,并能够被研制的电荷传感器检测到;电荷感应信号是瞬时脉冲的;随着加载应力水平的增加,电荷感应信号强度增强,在峰值应力前,电荷感应信号强度达到最大值;在破裂面接收到的电荷感应信号较强,主破裂面接收到的信号最强,因而电荷的产生和岩石的破裂有很大的关系。作为正在探索的检测岩石破坏过程的手段之一,电荷感应方法应是一种很具潜力的方法,值得深入研究。     

水平地震力作用下岩体破坏机理探究

基于摩尔库伦强度准则和波动理论对地震作用下岩体的破坏机理进行研究。结果表明:当埋深在一定范围内,水平地震作用下岩体的内聚力c和正应力σn与振动速度和埋深呈线性关系。当埋深一定时,振动速度越大c值越小;在振动速度增大的过程中岩体的应力状态由压应力逐渐转变为拉应力,且拉应力随振动速度的增大而增大;当振动速度一定时,岩体埋深越大c值越小;埋深越浅,拉应力越大,当埋深达到一定值时岩体就只在其弹性极限内振动而不产生破坏。     

美国西部地区加卸载响应比的时空扫描及其地震趋势研究

加卸载响应比理论是近年来提出的地震预报新方法, 在中国大陆地区的实际地震预测中取得了较好的效果。 为了研究加卸载响应比理论是否适用于不同地质条件的地震, 是否具有普适性, 选择了典型的美国圣安德烈斯断层带及其周围地区的地震作为研究对象, 计算分析了美国西部地区加卸载响应比的变化情况, 并对该地区未来的地震趋势进行了研究。     

Acoustic Emission Experiments of Rock Failure Under Load Simulating the Hypocenter Condition

A series of acoustic emission (AE) experiments of rock failure have been conducted under cyclic load in tri-axial stress tests. To simulate the hypocenter condition the specimens are loaded by the combined action of a constant stress, intended to simulate the tectonic loading, and a small sinusoidal disturbance stress, analogous to the Earth tide induced by the Sun and the Moon. Each acoustic emission signal can indicate the occurrence time, location and relative magnitude of the damage (micro-crack) in the specimen. The experimental results verified some precursors such as LURR (Load/Unload Response Ratio) and AER (Accelerating Energy Release) before macro-fracture of the samples. A new parameter, the correlation between the AE and the load, has been proposed to describe the loading history. On the eve of some strong earthquakes the correlation between the Benioff strain and the Coulomb failure stress (CFS) decreases, similar to the variation of LURR prior to strong earthquakes.     

岩石损伤模量分析

从能量的角度出发定义损伤变量,通过应力-应变曲线卸载段有效应力与总应力之间的假定关系,确定损伤模量的计算方法。在单轴和三轴条件下,对岩石损伤相关参数进行统计研究,重点对损伤模量进行计算和对比分析。结果表明,单轴及低围压下损伤模量基本呈逐渐减小的趋势,而随着围压的增大,损伤模量呈先减小后保持动态稳定的趋势。损伤变量的计算充分考虑到围压的影响,可进一步增进对岩石损伤的认识。     

Failure Potential Evaluation in Engineering Experiments Using Load/Unload Response Ratio Method

The Load/Unload Response Ratio (LURR) method is proposed for prediction of the failure of brittle heterogeneous materials. Application of the method typically involves evaluating the external load on materials or structures, differentiating between loading and unloading periods, determining the failure response during both periods from data input, and calculating the ratio between the two response rates. According to the method, the LURR time series usually climbs to an anomalously high peak prior to the macro-fracture. To show the validity of the approach in engineering practice, we applied it to the loading and unloading experimental data associated with a two-floor concrete-brick structure. Results show that the LURR time series of the two floors consists of the damage evolution of the structure: they are at low level for most of the time, and reach the maxima prior to the final fracture. We then attempt to combine the LURR values with damage variable (D) to provide the health assessment of the structure. The relationship between LURR and D, defined as a function of Weibull stochastic distribution, is set up to provide more detailed underlying physical means to study damage evolution of the structure. The fact that the damage evolution of the structure correlates well with the variation of LURR time series may suggest that the LURR approach can be severed as a useful tool to provide the health assessment to big scale structures or ancient buildings.     

加卸载响应比的数值模拟

用数值模型来模拟和验证加卸载响应比（ＬＵＲＲＬｏａｄ／Ｕｎｌｏａｄ　ＲｅｓｐｏｎｓｅＲａｔｉｏ）理论．编制非均匀各向异性材料宏细观损伤破坏程序,模拟固体材料在损伤破坏时的加卸载过程,证实了加卸载响应比理论的正确性．结果表明,ＬＵＲＲ这一反映地球介质临近破坏的指标,也可以用来预测材料的破坏．同时讨论了一些参数（如均匀程度和脆性程序）对ＬＵＲＲ的影响,发现材料越呈脆性,或越均匀,ＬＵＲＲ值上升得越晚,曲线越陡．该结果对用ＬＵＲＲ指标预测地震具有一定启发．     

2019年6月17日长宁MS6.0地震前地震活动和水位的加卸载响应比异常研究

加卸载响应比（LURR）方法是通过固体潮加卸载过程中的某一物理参数的响应差异探查区域应力场演化。本文将这一方法应用于2019年6月17日四川长宁M_S6.0地震,根据LURR时序演化探查震源区介质的应力状态变化,提取可能的震前异常信息。首先采用贝尼奥夫应变作为响应量计算LURR,通过固体潮在地震断层面的最优滑动方向上引起的库仑破坏应力变化来判断加载还是卸载,结果显示LURR值自2018年年初开始快速增加并在2018年年中达到峰值,此后异常持续至地震。在此基础上对该地区的大地形变和地下井水位资料进行了LURR分析,发现水富水平摆倾斜仪的东西和南北分量在LURR出现异常的同期发生明显偏转,而地震周边的地下井水位高值变化过程与长宁地震也有较好的对应关系。研究表明在长宁地震发生前,存在地震活动和地下水位的LURR异常,且异常时间与水富倾斜同步,暗示震源区介质存在明显的应力积累过程。