The Random Distribution of the Loading and Unloading Response Ratio Under the Assumptions of Poisson Models

This paper discussed the random distribution of the loading and unloading response ratio（LURR） of different definitions（Y1～Y5）using the assumptions that the earthquakes occurfollowing the Poisson process and their magnitudes obey the Gutenberg-Richter law.Theresults show that Y1～Y5 are quite stable or concentrated when the expected number of eventsin the calculation time window is relatively large（】40）;but when this occurrence ratebecomes very small,Y2～Y5 become quite variable or unstable.That is to say,a high value ofthe LURR can be produced not only from seismicity before a large earthquake,but also from arandom sequence of earthquakes that obeys a Poisson process when the expected number ofevents in the window is too small.To check the influence of randomness in the catalogue tothe LURR,the random distribution of the LURR under Poisson models has been calculated bysimulation.90%,95% and 99% confidence ranges of Y1 and Y3 are given in this paper,which is helpful to quantify the random

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.

The spatial temporal evolution characteristics of the load／unload response ratio（LURR） and its implications for predicting the three elements of earthquakes

The spatial temPOral evolution characteristics of the load/unload response ratio (Y) before strong earthquakes is studied in this paper. The results show that the regions of high value of Y migrate and converge to the impending earthquake epicenter from different directions before the occurrence of the event. Basing on this discovery, it is proposed that the method can be used to predict the three elements of an earthquake. It was applied to predict that an earthquake would occur in the western part of Yunnan Province, southwestern China. The three elements (time, space and magnitude) of the Menglian earthquake with Ms7.3 which occurred on July 12, 1995 in Yunnan Province tallied with our prediction.

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.

Short-term and imminent anomalies of earthquake of load and unload response ratio of the well level to earth tides

In this paper, through the nonlinear response of rock strain and stress, we have analized the physical mechanism of loading and unloading response ratio of the well level to the earth tides,the respouse of an aquifer of confined well to bulk strain tide and showed two methods of the calculation of loading and unloading response ratio of the well level to the earth tides. We took the example of the Yu 01 well, which is near the epicenter of Heze M S 5.9 earthquake, calculated the response rate and loading and unloading response ratio of two kinds of the earth tides of it. The response rate and response ratio before the earthquake had the variation of increase.

The tempo-spatial evolution characteristics of the load/unload response ratio before strong earthquakes in California of America and its predicting implications

In this paper, the tempo-spatial evolution characteristics of the load/unload response ratio (namely LURR or Y value) before strong earthquakes with magnitude over 6 during 1976~1994 in California of America are studied in detail. The results show that there appear some high-Y regions cohering with the regional tectonic trend in a great area 3~4 years before strong earthquakes and these high-Y regions migrate from the periphery to the epicenter region at a speed of tens of kilometers per year. The load/unload response ratio (LURR) anomalies near the epicenter region characterizes a type of (ascend ? descend( and appear and increase steeply until one year or less before most earthquakes. (Positive( earthquakes form usually a concentration area; in and near which the main shock occurs. We have analyzed the different and same characters of earthquakes between California of American and the Chinese mainland. Basing on these results, we discuss the approach and method how to predict and estimate the three parameters (place, time and magnitude) of a strong earthquake in California of American by applying the characteristics of the LURR.

Physical meaning and prediction efficiency of the load/unload response ratio of rocks in strain-weakening phase before failure

Rock experiment results indicate that the load/unload response ratio (LURR) of rocks expressed via strain energy may have singular or negative value after the stress in the rock reaches its maximum before rock failure or when the rock goes into the strain-weakening phase. The universality of this phenomenon is discussed. Expressed via strain or strain energy and the travel time of P wave, the variation form of the reciprocal of LURR during the process of rock failure preparation is derived. The results show that after a sharp decrease the reciprocal of LURR reaches its minimum when the main fracture of the rock is about to appear. This feature can be taken as an indication that the rock main fracture is impending.

Investigation on the Load/Unload Response Ratio With Coda Q-1 as Response

The load/unload response ratio YQ with the geophysical parameter coda Q-1 of the crust as response is denned in this study.The variation in YQ-1 before and after the Northridge earthquake of January 17,1994(California)has been investigated by using the data of coda Q-1 with frequencies of 1.5,3.0,6.0,12.0,and 24.0 Hz in the Southern California from 1987 to 1994.It can be found that YQ-1 for coda waves with all frequencies,the frequency of 12.0 Hz excluded,ascended to a certain extent prior to the occurrence of the rnainshock and returned to normality after the main shock.

Application of the Load/Unload Response Ratio Theory to Predictions of Moderate Earthquakes (7.0>M≥6.0)

The variation in load/unload response ratio before some moderate earthquakes is analyzed based on the theory of the load/unload response ratio.The results show that the load-unload response ratio increases noticeably before moderate earthquakes,and there are three kinds of patterns in which the load/unload response ratio varies and the duration of noticeable increase in load/unload response ratio ranges from half a year to two years.

Variation of the Load/Unload Response Ratio Before the Main Shocks of the Reservoir-Induced Earthquakes

In this paper, the theory of the load/unload response ratio is applied to the prediction of the reservoir-induced earthquakes, and variation of the load/unload response ratio Y preceding the occurrence of main shocks of the reservoir-induced earthquakes in Xinfengjiang, Foziling, Danjiangkou, and Shenwo. The results show that the load/unload response ratio Y rises evidently prior to the main shocks.

Application of Load/Unload Response Ratio in the Study of Seismicity in the Region of Iran

The variation of Load/Unload Response Ratio (LURR) against time for earthquakes in Kerman Province, Iran, on February 22, 2005, M6.4 and in Lorestan Province, Iran, on March 31, 2006, M6.1, has been calculated and analysed in this paper. The tempo-spatial scanning of LURR in the region of Iran during January 1, 2003 to March 31, 2006 has been conducted, with 1 year as a time-window, 1 month as a time-step, and the comparison of the LURR anomalous regions in 2004 with the actual earthquakes with M≥5.0 in the next year (2005) is also given, which shows that 11 earthquakes with M≥5.0 occurred in LURR anomalous regions while 12 earthquakes with M≥5.0 in LURR regions in 2005. Furthermore, the seismicity in this region is studied by investigating the evolvement of the anomalous LURR regions.

The Natural Probability Distribution of Load and Unload Response Ratio

In this paper,the Gutenberg-Richter model is used to generate seismic events.The events that satisfy the random distribution are also generated.With those events,the natural probability distribution of Load and Unload Response Ratio(LURR),which measures quantitatively the degree of instability of a nonlinear system,is discussed.The study is based on stress energy release,which is chosen as the response of nonlinear system F3.The comparative results from the observation catalogue and generating data are also studied.It is revealed that the natural probability of LURR is mostly stable when the sample number is sufficient.The lower the natural probability of LURR,the more the precursory is information it may contain.The influence of Y3 resulting from the sample number and the magnitude range of events is also discussed.

Local Anomalies of the Load-Unload Response of the Geomagnetic Field to Solar Wind and Earthquakes in Southwest China

Many earthquakes occurred during the period 1994 -1996 in Sichuan and Yunnan Provinces, Southwest China. Taking the process of the initial main phase recovery phase of the magnetic storm as the process of load-unload response of the geomagnetic field to the solar wind, we have estimated and analyzed the distribution in time and space of the load-unload response ratio P(z) of the storm time disturbance daily variation of the vertical component Z of the geomagnetic field at ten stations in Southwest China. We found that the area with high ratio P(z) was just the area where moderately strong earthquakes would occur from 44 days to 15 months later. The relationship between the high ratio P(z) and weather disasters in both seismic and non-seismic areas is discussed briefly.

基于LURR的前震分析方法及其在川滇地区的应用

加卸载响应比(Load-Unload Response Ratio,LURR)是基于岩石介质本构关系动态变化提出的一种中短期地震预测方法,然而,在实践应用中存在构造剪应力方向难以确定的问题.本文以前震为研究对象,发展了一种确定构造剪切应力方向的新思路.当4级以上地震发生后,通过沿该地震滑动方向计算库仑破坏应力(CFS)的变化,判断其固体潮加卸载状态,探测后续强震发生的可能性.以川滇地区(20°N—35°N,96°E—106°E)为研究区域,分析2000年以来所有6级以上地震的4级以上前震的加卸载状态发现,大部分4级以上前震发生在加载阶段.进一步分析近10年来所有4级以上地震的加卸载状态发现,非前震则更易发生在卸载阶段.结合概率增益分析可知,(1)若原震区连续发生至少2个4级以上地震,且均位于固体潮加载过程,后续发生强震的可能性较大;(2)当地震位于卸载过程,原震区发生更强地震的可能性要低于平时的背景地震活动水平.此外,对2022年11月以来的4级以上地震加卸载状态分析推测,川东南、滇南、滇西北地区应力积累水平较高,需要重点关注强震危险性.

宁强MS5.3地震前的LURR综合分析

2018年9月12日在陕西省汉中市宁强县发生了MS5.3地震,震源深度11 km。基于陕西区域2014—2018年地球物理观测资料,选取地下水位、洞体应变、体应变以及地电场等观测手段的20个观测站点,采用库仑应力触发模型的加卸载响应比计算方法,计算各个站点的加卸载响应比(LURR),对此次地震前的异常信息进行分析讨论。初步获知:(1)LURR异常出现时间集中在2017年底至2018年5月,其中地下水位LURR出现异常变化时间最早,出现极大值的时间也最早,而洞体应变、体应变、地电场LURR异常开始时间较晚,集中在2018年2—5月,极大值出现时间集中在2018年3—7月。(2)从各观测手段的异常变化幅度来看,地下水位的变化幅度最小,洞体应变和体应变的变化幅度最大,地电场的变化幅度居中;从空间分布看,不同测项的异常站点有分布较为集中的现象。(3)周至地电场LURR与优势方位角异常变化在时域上较为同步。(4)总体上,地下水位、洞体应变、体应变以及地电场这几种地球物理观测资料反映的LURR异常演化具有准同步性。这为尝试多种观测资料计算LURR,进行多重物理量相互验证,提高异常信息的可信度等提供参考。

模拟引潮力作用下岩石破坏前兆的实验研究——加卸载响应比(LURR)理论和能量加速释放(AER)

大地震前加卸载响应比升高和能量加速释放这2种现象可以用来对地震进行中期预报。同时,加卸载响应比升高和能量加速释放有相同的物理机制。实验对于揭示地壳岩石的变形和破坏规律是非常重要的。在三轴应力条件下进行了岩石破坏声发射实验,声发射技术是研究岩石变形破坏微观机理的重要手段。为了模拟日月引潮力对地球的加载和卸载作用,在一常数加载率的轴向压力作用下,叠加上微小的正弦扰动,力求能够模拟地下岩石复杂的受力状态。实验过程中记录到大量的声发射信息,声发射记录包括声发射发生的时间、空间坐标和振幅,它能够反映岩石试件内部每一个损伤(微裂纹)发生的时间、地点和强度。利用声发射记录系统地分析了岩石试件破坏前能量释放及加卸载响应比的演化情况,结果显示,岩石试件宏观破坏前出现了能量加速释放及加卸载响应比剧增这2种前兆现象,从而对地震临界点理论给予了实验支持,同时也为地震预测提供了实验依据。

利用加卸载响应比探查强震成核过程——以2020年新疆伽师6.4级地震为例

加卸载响应比(LURR)是基于非均匀脆性介质损伤演化提出的一种中短期地震预测方法,以往的研究中多以地震活动为响应量计算LURR,地球物理观测资料应用较少.本文基于地下流体、地壳形变、电磁、岩石地温等观测资料,运用加卸载响应比(LURR)方法研究2020年新疆伽师6.4级地震的孕育过程.震中300 km范围内的20个观测台站中,11个台站数据计算得到的LURR时间序列呈现明显规律性特征.震前数月-数天都出现相对异常高值,并在回落后发生地震,演化过程与使用震中200 km范围内小震活动计算的LURR时间序列一致.不同观测资料所得LURR异常阈值分别为:地下水位1.02、岩石地温1.0002、倾斜仪1.005、水温1.02、氢气1.02、地电阻率1.01、地磁1.02、小震活动1.5.从异常台站的空间分布上看,存在向震中迁移的过程,即随着主震发生时间的临近,检测到异常的台站位置与震中之间的距离越小,且在震中附近呈现加速过程.LURR异常的时空演化可能与岩石介质的亚失稳有关,反映了大震前震源区介质的成核弱化和加速破裂过程.上述演化过程可以通过原始观测曲线中记录的异常数量、空间分布及其随时间的演化加以证实.

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 UnloadResponseRatio)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。

加卸载响应比(LURR)响应量的研究

加卸载响应比(LURR)理论以响应比值Y来刻画孕震区介质的损伤演化进程。在计算Y值时可选择能量(Benioff应变)、模量(应变)等多种物理量做响应。本文通过理论和实验方法对使用不同响应量时Y值演化趋势的异同进行了研究,结果表明在Y达到峰值之前具有相似地演化过程。

地磁异常识别技术在松原5.7级地震前的应用研究

运用地磁异常识别技术对2018年5月28日松原5.7级地震前的地磁异常展开研究。采用加卸载响应比法、逐日比法、日变化空间相关法、异常叠加法对吉林省三岗台、通化台及东北地区邻近的大连台、营口台、朝阳台、铁岭台等台站,运用松原5.7级地震前18个月内的地磁预处理分钟值数据进行计算分析和异常判定识别。研究结果表明:在加卸载响应比法、逐日比法和日变化空间相关法的基础上,运用异常叠加法提取的地磁异常,其预测的位置与真实值更加接近,预测结果对省内地震具有重要的指示意义。