CN114087021B - Rock burst multi-parameter dynamic trend early warning method - Google Patents
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Abstract
本发明提供一种冲击地压多参量动态趋势预警方法,属于地下开挖工程和煤岩动力灾害预警技术领域。方法包括:根据现场微震监测系统实时监测数据,利用Mann‑Kendall趋势检验法对冲击地压孕育演化过程中的“时‑空‑强”多元前兆预警指标变化趋势进行描述,以各指标变化趋势是否符合冲击地压前兆表征规律为预警准则进行预警;评价各指标的预警效能;基于预警效能最大化原则进行指标优选;将优选指标对应的预警效能作为权重进行多指标融合得到冲击危险综合异常指数;将冲击危险综合异常指数与对应量化分级标准进行对比以确定冲击危险等级;定期于现场实际监测数据驱动下进行指标优选及权重更新。采用本发明,能为井下冲击地压的防治提供高效、准确的决策依据。
The invention provides a multi-parameter dynamic trend early warning method of rock burst, belonging to the technical field of underground excavation engineering and coal rock dynamic disaster early warning. The method includes: according to the real-time monitoring data of the on-site microseismic monitoring system, using the Mann-Kendall trend test method to describe the change trend of the "time-space-strong" multivariate precursory early warning indicators in the process of rockburst gestation and evolution. According to the pre-warning rule of the rockburst precursor, the early warning is carried out; the early warning efficiency of each index is evaluated; the index is optimized based on the principle of maximizing early warning efficiency; the early warning efficiency corresponding to the optimized index is used as the weight to carry out multi-index fusion to obtain the comprehensive shock risk comprehensive abnormal index; The comprehensive anomaly index of impact risk is compared with the corresponding quantitative grading standard to determine the impact risk level; index selection and weight update are carried out regularly driven by the actual monitoring data on site. The invention can provide efficient and accurate decision-making basis for prevention and control of underground rock burst.
Description
技术领域technical field
本发明涉及地下开挖工程和煤岩动力灾害预警技术领域,特别是指一种冲击地压多参量动态趋势预警方法。The invention relates to the technical field of underground excavation engineering and coal and rock dynamic disaster early warning, in particular to a multi-parameter dynamic trend early warning method of rock burst.
背景技术Background technique
冲击地压是影响煤矿井下生产的主要动力灾害之一,常造成人员伤亡及重大财产损失等严重后果。近年来,随着浅部矿产资源的日益枯竭,煤矿开采不断向地球深部扩展,采场的煤层结构及巷道周边围岩赋存条件日趋复杂,煤岩体内部动力响应特征也更加强烈,导致冲击地压事故发生频率迅速上升,对这一灾害进行准确高效监测预警手段是保障井下安全生产的关键。Rockburst is one of the main dynamic disasters affecting underground production in coal mines, often causing serious consequences such as casualties and major property losses. In recent years, with the depletion of shallow mineral resources, coal mining continues to expand deep into the earth, the coal seam structure of the stope and the occurrence conditions of surrounding rocks around the roadway have become increasingly complex, and the internal dynamic response characteristics of the coal and rock mass have become more intense, resulting in shock The frequency of ground pressure accidents is rising rapidly, and accurate and efficient monitoring and early warning methods for this disaster are the key to ensuring safe underground production.
目前,井下常用的在线监测手段包括微震、地音、电磁辐射、地应力等,其中微震监测系统可对矿井大范围区域内煤岩体破断进行监测,被广泛应用于冲击地压的监测预警中,相关人员通过分析微震事件的能量、频次等指标的变化趋势以达到预警的目的。但是对于冲击危险前兆预警指标变化趋势的判断依赖于人工经验,效率低下且可靠程度不高,同时由于各预警指标对冲击地压孕育演化过程所反映的维度不同,可能出现结果相互冲突的现象,造成有关人员对实际危险状态的误判。因此,有必要提出一种能自动高效判别冲击危险前兆预警指标时序变化趋势且能提供综合、单一、定量化冲击危险等级的预警方法。At present, the commonly used online monitoring methods in underground mines include microseismic, geosound, electromagnetic radiation, ground stress, etc. Among them, the microseismic monitoring system can monitor the fracture of coal and rock mass in a large area of the mine, and is widely used in the monitoring and early warning of rock burst. , the relevant personnel can achieve the purpose of early warning by analyzing the change trend of the energy, frequency and other indicators of microseismic events. However, the judgment of the change trend of the early warning indicators of shock hazard precursors depends on artificial experience, which is inefficient and has a low degree of reliability. At the same time, due to the different dimensions reflected by each early warning indicator on the gestation and evolution process of shock hazard, conflicting results may occur. Cause the relevant personnel to misjudge the actual dangerous state. Therefore, it is necessary to propose an early-warning method that can automatically and efficiently determine the time-series change trend of the early warning indicators of shock hazard precursors and can provide a comprehensive, single, and quantitative shock hazard level.
发明内容SUMMARY OF THE INVENTION
本发明实施例提供了冲击地压多参量动态趋势预警方法,能够对冲击地压进行高效、准确的监测预警。所述技术方案如下:The embodiment of the present invention provides a multi-parameter dynamic trend early warning method for rock burst, which can perform efficient and accurate monitoring and early warning on rock burst. The technical solution is as follows:
本发明实施例提供了一种冲击地压多参量动态趋势预警方法,包括:The embodiment of the present invention provides a multi-parameter dynamic trend early warning method for rock burst, including:
S101,根据现场微震监测系统实时监测数据,利用Mann-Kendall趋势检验法对冲击地压孕育演化过程中的“时-空-强”多元前兆预警指标变化趋势进行描述,以各指标变化趋势是否符合冲击地压前兆表征规律为预警准则进行预警;S101, according to the real-time monitoring data of the on-site microseismic monitoring system, the Mann-Kendall trend test method is used to describe the change trend of the "time-space-strong" multivariate precursory early warning indicators in the process of rockburst gestation and evolution, and determine whether the change trend of each index conforms to The characterization law of rockburst precursors serves as the early warning criterion for early warning;
S102,利用混淆矩阵评价各指标的预警效能;S102, using a confusion matrix to evaluate the early warning effectiveness of each indicator;
S103,基于预警效能最大化原则进行指标优选;S103, perform index selection based on the principle of maximizing early warning efficiency;
S104,将优选指标对应的预警效能作为权重进行多指标融合得到冲击危险综合异常指数;S104, using the early warning efficiency corresponding to the preferred index as a weight to perform multi-index fusion to obtain a comprehensive anomaly index of impact risk;
S105,将冲击危险综合异常指数与对应量化分级标准进行对比以确定冲击危险等级;S105, compare the comprehensive anomaly index of impact risk with the corresponding quantitative grading standard to determine the impact risk level;
S106,定期于现场实际监测数据驱动下进行指标优选及权重更新。S106, regularly perform index selection and weight update driven by the actual monitoring data on site.
进一步地,所述根据现场微震监测系统实时监测数据,利用Mann-Kendall趋势检验法对冲击地压孕育演化过程中的“时-空-强”多元前兆预警指标变化趋势进行描述,以各指标变化趋势是否符合冲击地压前兆表征规律为预警准则进行预警包括:Further, according to the real-time monitoring data of the on-site microseismic monitoring system, the Mann-Kendall trend test method is used to describe the change trend of the "time-space-strong" multivariate precursory early warning indicators in the process of rockburst gestation and evolution. Whether the trend conforms to the rockburst precursory characterization law is used as an early warning criterion for early warning, including:
采集现场微震监测系统实时监测数据,以特定的时间窗及滑移步长对原始监测数据进行预处理,得到冲击地压危险“时-空-强”多元前兆预警指标的时间序列;其中,所述冲击地压危险“时-空-强”多元前兆预警指标包括:Collect the real-time monitoring data of the on-site microseismic monitoring system, and preprocess the original monitoring data with a specific time window and slip step length to obtain the time series of the multivariate precursory early warning indicators of rockburst hazard "time-space-strong"; The "time-space-strong" multivariate precursory early warning indicators of rock burst danger include:
反映时间维度的日总频次、频次偏差值、平均总频次、缺震、A(b)值、微震活动标度、算法复杂度、P(b)值和时间信息熵;Daily total frequency, frequency deviation value, average total frequency, earthquake absence, A(b) value, microseismic activity scale, algorithm complexity, P(b) value and time information entropy reflecting the time dimension;
反映空间维度的微震活动度和震源集中程度;Microseismic activity and source concentration that reflect spatial dimensions;
反映强度维度的日最大能量、日总能量、日平均能量、能量偏差值、平均总能量、断层总面积和b值;The daily maximum energy, daily total energy, daily average energy, energy deviation value, average total energy, total fault area and b value reflecting the intensity dimension;
其中,日最大能量、日总能量、日总频次、日平均能量、能量偏差值、频次偏差值、平均总能量、微震活动度、缺震、A(b)值、断层总面积、平均总频次、微震活动标度、算法复杂度属于正向预警指标,即其值越高表示冲击危险性越大;震源集中程度、b值、P(b)值、时间信息熵属于负向预警指标,即其值越低表示冲击危险性越大;Among them, daily maximum energy, daily total energy, daily total frequency, daily average energy, energy deviation value, frequency deviation value, average total energy, microseismic activity, seismic absence, A(b) value, total fault area, average total frequency , microseismic activity scale, and algorithm complexity belong to positive early warning indicators, that is, the higher the value, the greater the shock risk; the degree of focus concentration, b value, P(b) value, and time information entropy belong to negative early warning indicators, that is, The lower the value, the greater the impact risk;
利用Mann-Kendall趋势检验法判定各预警指标的实时变化趋势,以各指标变化趋势是否符合冲击地压前兆表征规律为预警准则进行预警。The Mann-Kendall trend test method is used to determine the real-time change trend of each early-warning index, and the early-warning criterion is based on whether the change trend of each index conforms to the law of rockburst precursor characterization.
进一步地,所述以特定的时间窗及滑移步长对原始监测数据进行预处理,是指将原始监测数据从不规则时间序列转化为规则时间序列,包括:Further, the preprocessing of the original monitoring data with a specific time window and slip step size refers to converting the original monitoring data from an irregular time series to a regular time series, including:
定义一个长度为△t的滑动时间窗,将采集的监测数据时间序列划分为n个长度为△t的数据集且分别对应时间窗末尾的时刻,即其中Ti时刻的数据集记为Xi[x1,x2,x3,...,xk],k≤t,0<i≤n,其中,△t为滑动时间窗的长度,Ti为第i个时间窗末尾对应的时刻;Define a sliding time window with a length of Δt, and divide the collected monitoring data time series into n data sets with a length of Δt, which correspond to the time at the end of the time window, that is, the data set at time T i is denoted as X i [x 1 ,x 2 ,x 3 ,...,x k ], k≤t, 0<i≤n, where Δt is the length of the sliding time window, and T i is the corresponding end of the i-th time window time;
计算Xi中所有样本对应的预警指标值yi,将预警指标值yi按顺序排列即可得到转换后的规则时间序列,记为Y[y1,y2,y3,...,yn]。Calculate the early warning index values yi corresponding to all samples in X i , and arrange the early warning index values yi in order to obtain the converted regular time series, denoted as Y[y 1 , y 2 , y 3 ,..., y n ].
进一步地,所述利用Mann-Kendall趋势检验法判定各预警指标的实时变化趋势包括:Further, the described utilization of Mann-Kendall trend test method to determine the real-time variation trend of each early warning index includes:
将预警指标规则时间序列Y[y1,y2,y3,...,yn]划分为m个时间窗长度为△a的数据集且分别对应时间窗末尾的时刻Ai,即Ai时刻的数据集为Yi[y1,y2,y3,...,yq],10≤q≤a,0<i≤m,计算Yi的检验统计量S:Divide the early warning indicator rule time series Y[y 1 , y 2 , y 3 ,..., y n ] into m data sets with a time window length of △a corresponding to the time A i at the end of the time window, namely A The data set at time i is Yi [y 1 , y 2 , y 3 ,..., y q ], 10≤q≤a, 0< i≤m , calculate the test statistic S of Yi:
其中,sgn(·)表示符号函数,q表示Yi[y1,y2,y3,...,yq]数据集的长度,yp表示第p个数据,p=1,2,3...q-1,yj表示第j个数据,j=p+1,2,3...q;where sgn( ) represents the symbolic function, q represents the length of the data set Yi [y 1 , y 2 , y 3 ,..., y q ], y p represents the p- th data, p=1, 2, 3...q-1, y j Represents the jth data, j=p+1,2,3...q;
根据得到的Yi的检验统计量S,确定Yi的检验标准量Z:According to the obtained test statistic S of Yi, determine the test standard Z of Yi:
当Z>0时,Ti时刻的预警指标具有增长趋势;当Z<0时,Ti时刻的预警指标具有降低趋势;当Z=0时,Ti时刻的预警指标不具有明显变化趋势。When Z>0, the early warning index at time T i has an increasing trend; when Z < 0, the early warning index at time T i has a decreasing trend; when Z=0, the early warning index at time T i does not have an obvious trend of change.
进一步地,本实施例中,所述以各指标变化趋势是否符合冲击地压前兆表征规律为预警准则进行预警包括:Further, in this embodiment, the pre-warning based on whether the change trend of each index conforms to the pre-warning rule of rockburst precursors as the pre-warning criterion includes:
将各指标的实时变化趋势与冲击地压前兆表征规律进行对比,若正向预警指标存在增长趋势则进行预警,若负向预警指标存在降低趋势则进行预警,其它变化趋势则不进行预警。The real-time change trend of each index is compared with the characterization law of rockburst precursors. If the positive early warning index has an increasing trend, an early warning will be issued, if the negative early warning index has a decreasing trend, an early warning will be issued, and other changing trends will not be issued an early warning.
进一步地,所述预警效能表示为:Further, the early warning efficiency is expressed as:
其中,EFF表示预警效能;Recall表示召回率,表示预警为有冲击危险并且实际发生了冲击地压事件,表示预警为无冲击危险但实际发生了冲击地压事件;Precision表示精确率,其中表示预警为有冲击危险并且实际发生了冲击地压事件,表示预警为有冲击危险但实际未发生冲击地压事件。Among them, EFF means early warning efficiency; Recall means recall rate, Indicates that the warning is in danger of shock and a shock event has actually occurred, Indicates that the early warning is no risk of shock but a shock event has actually occurred; Precision indicates the accuracy rate, in Indicates that the warning is in danger of shock and a shock event has actually occurred, Indicates that the warning is a risk of shock but no shock event has actually occurred.
进一步地,所述基于预警效能最大化原则进行指标优选包括:Further, the index optimization based on the principle of maximizing early warning efficiency includes:
将所有预警指标的预警效能值按照从大到小进行排列,筛选其中排名前n%的指标用于下一步数据融合,其中,n取正整数,指标数量向上取整。The early warning efficacy values of all early warning indicators are arranged in descending order, and the top n% of the indicators are screened for the next step of data fusion, where n is a positive integer and the number of indicators is rounded up.
进一步地,所述将优选指标对应的预警效能作为权重进行多指标融合得到冲击危险综合异常指数包括:Further, the multi-index fusion obtained by using the early warning efficiency corresponding to the preferred index as a weight to obtain a comprehensive anomaly index of impact risk includes:
将优选指标对应的预警效能作为权重输入冲击地压综合预警模型中,冲击地压综合预警模型利用综合异常指数法进行多指标融合得到冲击危险综合异常指数:The early warning efficiency corresponding to the preferred index is input into the comprehensive rockburst early warning model as a weight, and the rockburst comprehensive early warning model uses the comprehensive abnormal index method to perform multi-index fusion to obtain the comprehensive shock risk comprehensive abnormal index:
其中,Q表示冲击危险综合异常指数;e表示自然底数;n表示优选的指标总数;EFFk为第k个指标对应的预警效能;Wk(+/-)表示第k个正向/负向预警指标的异常隶属度,Among them, Q is the comprehensive anomaly index of shock risk; e is the natural base; n is the total number of preferred indicators; EFF k is the early warning efficiency corresponding to the k-th index; W k(+/-) means the k-th positive/negative direction The abnormal membership of early warning indicators,
对于正向预警指标,异常隶属度的取值为:For positive early warning indicators, the value of abnormal membership is:
对于负向预警指标,异常隶属度的取值为:For negative early warning indicators, the value of abnormal membership is:
进一步地,所述冲击危险等级包括:无冲击危险状态、弱冲击危险状态、中冲击危险状态和强冲击危险状态。Further, the shock hazard level includes: no shock hazard state, weak shock hazard state, medium shock hazard state and strong shock hazard state.
进一步地,所述定期于现场实际监测数据驱动下进行指标优选及权重更新包括:Further, the periodic optimization of indicators and updating of weights driven by on-site actual monitoring data includes:
定期于现场实际监测数据驱动下进行指标优选,并将优选指标对应的预警效能作为权重输入冲击地压综合预警模型中,以实现冲击地压综合预警模型自反馈更新。Periodically select indicators driven by the actual monitoring data on site, and input the early warning performance corresponding to the optimal indicators as weights into the comprehensive rockburst early warning model, so as to realize self-feedback update of the comprehensive rockburst early warning model.
本发明实施例提供的技术方案带来的有益效果至少包括:The beneficial effects brought by the technical solutions provided by the embodiments of the present invention include at least:
1)能够自动判别预警指标的实时变化趋势,并利用预警指标变化趋势进行冲击地压预警;1) It can automatically determine the real-time change trend of early warning indicators, and use the change trend of early warning indicators to carry out rockburst early warning;
2)利用冲击危险综合异常指数对冲击地压危险进行定量化描述,避免了单一预警指标造成的误报/漏报率高及不同预警指标出现的预警等级冲突的现象;2) Using the comprehensive anomaly index of shock hazard to quantitatively describe the hazard of rock burst, avoiding the phenomenon of high false alarm/missing rate caused by a single early warning indicator and conflict of early warning levels caused by different early warning indicators;
3)在现场实际监测数据的驱动下进行定期自反馈更新,具有较强的可扩展性与适应性,适应井下复杂多变的工作条件,有助于对冲击地压进行高效、准确的监测预警,并为井下冲击地压的防治提供高效、准确的决策依据。3) Regular self-feedback update driven by on-site actual monitoring data, has strong scalability and adaptability, adapts to complex and changeable working conditions downhole, and is helpful for efficient and accurate monitoring and early warning of rock burst , and provide efficient and accurate decision-making basis for the prevention and control of downhole rock burst.
附图说明Description of drawings
为了更清楚地说明本发明实施例中的技术方案,下面将对实施例描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to illustrate the technical solutions in the embodiments of the present invention more clearly, the following briefly introduces the accompanying drawings used in the description of the embodiments. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained from these drawings without creative effort.
图1为本发明实施例提供的冲击地压多参量动态趋势预警方法的流程示意图;1 is a schematic flowchart of a multi-parameter dynamic trend early warning method for rock burst provided by an embodiment of the present invention;
图2是本发明实施例提供的冲击地压多参量动态趋势预警方法的详细流程示意图;2 is a detailed schematic flowchart of a multi-parameter dynamic trend early warning method for rock burst provided by an embodiment of the present invention;
图3是本实施例中对原始监测数据进行预处理过程的示意图;Fig. 3 is the schematic diagram of the process of preprocessing the original monitoring data in the present embodiment;
图4是本实施例中日总频次Fsum预警指标的时序变化曲线;Fig. 4 is the time series change curve of the daily total frequency F sum early warning index in the present embodiment;
图5是本实施例中频次偏差值DF预警指标的时序变化曲线;Fig. 5 is the time series change curve of frequency deviation value DF early warning index in the present embodiment;
图6是本实施例中平均总频次预警指标的时序变化曲线;Fig. 6 is the average total frequency in this embodiment Time series change curve of early warning indicators;
图7是本实施例中缺震Mm预警指标的时序变化曲线;Fig. 7 is the time series change curve of the early-warning index of lack of earthquake M m in the present embodiment;
图8是本实施例中A(b)值预警指标的时序变化曲线;Fig. 8 is the time series change curve of A (b) value early warning index in the present embodiment;
图9是本实施例中微震活动标度F预警指标的时序变化曲线;Fig. 9 is the time series variation curve of the microseismic activity scale F early warning index in the present embodiment;
图10是本实施例中算法复杂度AC预警指标的时序变化曲线;Fig. 10 is the time series change curve of the algorithm complexity AC early warning index in the present embodiment;
图11是本实施例中P(b)值预警指标的时序变化曲线;Fig. 11 is the time series change curve of the early warning index of P(b) value in the present embodiment;
图12是本实施例中时间信息熵Qt预警指标的时序变化曲线;Fig. 12 is the time series change curve of the time information entropy Q t early warning index in the present embodiment;
图13是本实施例中微震活动度SD预警指标的时序变化曲线;Fig. 13 is the time series variation curve of the microseismic activity SD early warning index in the present embodiment;
图14是本实施例中震源集中程度λ预警指标的时序变化曲线;Fig. 14 is the time series variation curve of the epicenter concentration degree λ early warning index in the present embodiment;
图15是本实施例中日最大能量Emax预警指标的时序变化曲线;Fig. 15 is the time series change curve of the daily maximum energy E max early warning index in the present embodiment;
图16是本实施例中日总能量Esum预警指标的时序变化曲线;Fig. 16 is the time series change curve of the daily total energy E sum early warning index in the present embodiment;
图17是本实施例中日平均能量Eavg预警指标的时序变化曲线;Fig. 17 is the time series change curve of the daily average energy E avg early warning index in the present embodiment;
图18是本实施例中能量偏差值DE预警指标的时序变化曲线;Fig. 18 is the time series change curve of the energy deviation value DE early warning index in the present embodiment;
图19是本实施例中平均总能量预警指标的时序变化曲线;Figure 19 shows the average total energy in this example Time series change curve of early warning indicators;
图20是本实施例中断层总面积A(t)预警指标的时序变化曲线;Fig. 20 is the time series change curve of the early warning index of the total area A(t) of the fault layer in the present embodiment;
图21是本实施例中b值预警指标的时序变化曲线;Fig. 21 is the time series change curve of the b value early warning index in the present embodiment;
图22是本实施例中冲击危险综合异常指数Q的时序变化曲线。FIG. 22 is a time-series change curve of the comprehensive anomaly index Q of impact risk in this embodiment.
具体实施方式Detailed ways
为使本发明的目的、技术方案和优点更加清楚,下面将结合附图对本发明实施方式作进一步地详细描述。In order to make the objectives, technical solutions and advantages of the present invention clearer, the embodiments of the present invention will be further described in detail below with reference to the accompanying drawings.
如图1所示,本发明实施例提供了一种冲击地压多参量动态趋势预警方法,包括:As shown in FIG. 1 , an embodiment of the present invention provides a multi-parameter dynamic trend early warning method for rock burst, including:
S101,根据现场微震监测系统实时监测数据,利用曼-肯德尔(Mann-Kendall)趋势检验法对冲击地压孕育演化过程中的“时-空-强”多元前兆预警指标变化趋势进行描述,以各指标变化趋势是否符合冲击地压前兆表征规律为预警准则进行预警;具体可以包括以下步骤:S101, according to the real-time monitoring data of the on-site microseismic monitoring system, use the Mann-Kendall trend test method to describe the variation trend of the "time-space-strong" multivariate precursory early warning indicators during the gestation and evolution of rockburst, with Whether the change trend of each index conforms to the characteristic law of rockburst precursors is used as an early warning criterion for early warning; specifically, the following steps may be included:
A1,采集现场微震监测系统实时监测数据,以特定的时间窗及滑移步长对原始监测数据进行预处理,得到冲击地压危险“时-空-强”多元前兆预警指标的时间序列;其中,所述冲击地压危险“时-空-强”多元前兆预警指标包括但不限于:A1. Collect the real-time monitoring data of the on-site microseismic monitoring system, and preprocess the original monitoring data with a specific time window and slip step to obtain the time series of multiple precursor early warning indicators of rockburst hazard “time-space-strong”; , the "time-space-strong" multivariate precursory early warning indicators of rock burst danger include but are not limited to:
反映时间维度的日总频次Fsum、频次偏差值DF、平均总频次缺震Mm、A(b)值、微震活动标度F、算法复杂度AC、P(b)值和时间信息熵Qt;其中,A(b)值和P(b)值为地震学基本定律之一的“G-R”关系式(古登堡-里克特方程)中经验常数b的衍生指标;The daily total frequency F sum reflecting the time dimension, the frequency deviation value D F , and the average total frequency Seismic absence M m , A(b) value, microseismic activity scale F, algorithm complexity AC, P(b) value and time information entropy Q t ; where A(b) value and P(b) value for seismology A derivative index of the empirical constant b in the "GR" relation (the Gutenberg-Richter equation), one of the fundamental laws;
其中,日总频次Fsum的取值由下式计算:Among them, the value of the total daily frequency F sum is calculated by the following formula:
其中,n表示前24h(小时)内微震事件总频次;Among them, n represents the total frequency of microseismic events in the previous 24 hours (hours);
频次偏差值DF的取值由下式计算:The value of the frequency deviation value DF is calculated by the following formula:
其中,Ft表示前24h内微震事件频次,表示前30d(天)内微震事件平均日频次;Among them, F t represents the frequency of microseismic events in the first 24 hours, Indicates the average daily frequency of microseismic events within the previous 30 days (days);
平均总频次的取值由下式计算:Average total frequency The value of is calculated by the following formula:
其中,T表示时间窗长度,F(t)表示t时刻的微震频次;Among them, T represents the length of the time window, and F (t) represents the frequency of microseisms at time t;
缺震Mm的取值由下式计算:The value of the lack of earthquake M m is calculated by the following formula:
其中,m为能级分档总数;lgEi为第i档能级;Ni为第i档能级的实际微震数;A(b)值的取值由下式计算:Among them, m is the total number of energy level bins; lgE i is the ith energy level; Ni is the actual microseismic number of the ith energy level; the value of A(b) is calculated by the following formula:
其中,N为微震总数,Mi为微震事件能级;Among them, N is the total number of microseisms, and Mi is the energy level of microseismic events;
微震活动标度F的取值由下式计算:The value of the microseismic activity scale F is calculated by the following formula:
F0=106.11+1.09M F 0 =10 6.11+1.09M
其中,T表示时间窗长度,Mi为微震事件能级;Among them, T represents the length of the time window, and Mi is the energy level of the microseismic event;
算法复杂度AC的取值由下式计算:The value of the algorithmic complexity AC is calculated by the following formula:
其中,n表示时间窗内微震能级的变化次数,Mmax表示微震最大能级,Mmin表示微震最小能级;Among them, n represents the number of changes in the microseismic energy level within the time window, Mmax represents the maximum microseismic energy level, and M min represents the minimum microseismic energy level;
P(b)值的取值由下式计算:The value of P(b) is calculated by the following formula:
其中,N为微震总数,Mi为微震事件能级;Among them, N is the total number of microseisms, and Mi is the energy level of microseismic events;
时间信息熵Qt的取值由下式计算:The value of time information entropy Q t is calculated by the following formula:
其中,n为时间窗内微震事件频次,ti为第i个矿震发生时间;Among them, n is the frequency of microseismic events in the time window, and t i is the occurrence time of the ith mine shock;
反映空间维度的微震活动度SD和震源集中程度λ;其中,Microseismic activity S D and source concentration λ reflecting the spatial dimension; where,
微震活动度SD的取值由下式计算:The value of the microseismic activity S D is calculated by the following formula:
其中,N为微震总数,Ei为微震事件能量,M为微震最大能级;Among them, N is the total number of microseisms, E i is the energy of the microseismic event, and M is the maximum energy level of the microseismic;
震源集中程度λ的取值由下式计算:The value of the source concentration λ is calculated by the following formula:
其中,λ1、λ2、λ3为时间窗内微震事件坐标(x,y,z)组成协方差矩阵的特征根;Among them, λ 1 , λ 2 , λ 3 are the characteristic roots of the covariance matrix composed of the microseismic event coordinates (x, y, z) in the time window;
反映强度维度的日最大能量Emax、日总能量Esum、日平均能量Eavg、能量偏差值DE、平均总能量断层总面积A(t)和b值;其中,The daily maximum energy E max , the daily total energy E sum , the daily average energy E avg , the energy deviation value DE , and the average total energy reflecting the intensity dimension The total fault area A(t) and b values; where,
日最大能量Emax的取值由下式计算:The value of the daily maximum energy E max is calculated by the following formula:
Emax=max(E1,E2,...,En)E max =max(E 1 ,E 2 ,...,E n )
其中,Ei为前24h内第i个微震事件;Among them, E i is the ith microseismic event in the first 24 hours;
日总能量Esum的取值由下式计算:The value of the total daily energy E sum is calculated by the following formula:
其中,n表示前24h内微震事件总频次,Ei表示各微震事件能量;Among them, n represents the total frequency of microseismic events in the previous 24 hours, and E i represents the energy of each microseismic event;
日平均能量Eavg的取值由下式计算:The value of the daily average energy E avg is calculated by the following formula:
其中,n表示前24h内微震事件总频次,Ei表示各微震事件能量;Among them, n represents the total frequency of microseismic events in the previous 24 hours, and E i represents the energy of each microseismic event;
能量偏差值DE的取值由下式计算:The value of the energy deviation value D E is calculated by the following formula:
其中,Et表示前24h内微震事件总能量,表示前30d内微震事件平均日能量;Among them, E t represents the total energy of microseismic events in the first 24 hours, Represents the average daily energy of microseismic events within the first 30 days;
平均总能量的取值由下式计算:average total energy The value of is calculated by the following formula:
其中,T表示时间窗长度,E(t)表示t时刻的微震能量;Among them, T represents the length of the time window, and E (t) represents the microseismic energy at time t;
断层总面积A(t)的取值由下式计算:The value of the total fault area A(t) is calculated by the following formula:
其中,k0为时间窗内微震的能级下限,k为各微震的能级,N(k)为时间窗内能级为k的微震事件数量;Among them, k0 is the lower limit of the energy level of the microseismic in the time window, k is the energy level of each microseismic, and N(k) is the number of microseismic events with energy level k in the time window;
b值取值由下式计算:The value of b is calculated by the following formula:
其中,m为能级分档总数;lgEi为第i档能级;Ni为第i档能级的实际微震数。Among them, m is the total number of energy level bins; lgE i is the ith energy level; Ni is the actual microseismic number of the ith energy level.
上述预警指标可以构建前兆预警指标库,上述预警指标中日最大能量、日总能量、日总频次、日平均能量、能量偏差值、频次偏差值、平均总能量、微震活动度、缺震、A(b)值、断层总面积、平均总频次、微震活动标度、算法复杂度属于正向预警指标,即其值越高表示冲击危险性越大;震源集中程度、b值、P(b)值、时间信息熵属于负向预警指标,即其值越低表示冲击危险性越大。The above early warning indicators can build a precursor early warning indicator library. Among the above early warning indicators, daily maximum energy, daily total energy, daily total frequency, daily average energy, energy deviation value, frequency deviation value, average total energy, microseismic activity, lack of earthquake, A (b) value, total fault area, average total frequency, microseismic activity scale, and algorithm complexity are positive early warning indicators, that is, the higher the value, the greater the shock risk; the degree of focus concentration, b value, P(b) Value and time information entropy are negative early warning indicators, that is, the lower the value, the greater the impact risk.
本实施例中,所述以特定的时间窗及滑移步长对原始监测数据进行预处理,是指将原始监测数据从不规则时间序列转化为规则时间序列,包括:In this embodiment, the preprocessing of the original monitoring data with a specific time window and slip step size refers to converting the original monitoring data from an irregular time series to a regular time series, including:
定义一个长度为△t的滑动时间窗,将采集的监测数据时间序列划分为n个长度为△t的数据集且分别对应时间窗末尾的时刻,即其中Ti时刻的数据集记为Xi[x1,x2,x3,...,xk],k≤t,0<i≤n,其中,△t为滑动时间窗的长度,Ti为第i个时间窗末尾对应的时刻;Define a sliding time window with a length of Δt, and divide the collected monitoring data time series into n data sets with a length of Δt, which correspond to the time at the end of the time window, that is, the data set at time T i is denoted as X i [x 1 ,x 2 ,x 3 ,...,x k ], k≤t, 0<i≤n, where Δt is the length of the sliding time window, and T i is the corresponding end of the i-th time window time;
计算Xi中所有样本对应的预警指标值yi,将预警指标值yi按顺序排列即可得到转换后的规则时间序列,记为Y[y1,y2,y3,...,yn],如图3所示。Calculate the early warning index values yi corresponding to all samples in X i , and arrange the early warning index values yi in order to obtain the converted regular time series, denoted as Y[y 1 , y 2 , y 3 ,..., y n ], as shown in Figure 3.
A2,利用Mann-Kendall趋势检验法判定各预警指标的实时变化趋势,以各指标变化趋势是否符合冲击地压前兆表征规律为预警准则进行预警,具体可以包括以下步骤:A2, use the Mann-Kendall trend test method to determine the real-time change trend of each early warning index, and use whether the change trend of each index conforms to the law of rockburst precursor characterization as the early warning criterion for early warning, which may include the following steps:
将预警指标规则时间序列Y[y1,y2,y3,...,yn]划分为m个时间窗长度为△a的数据集且分别对应时间窗末尾的时刻Ai,即Ai时刻的数据集为Yi[y1,y2,y3,...,yq],10≤q≤a,0<i≤m,计算Yi的检验统计量S:Divide the early warning indicator rule time series Y[y 1 , y 2 , y 3 ,..., y n ] into m data sets with a time window length of △a corresponding to the time A i at the end of the time window, namely A The data set at time i is Yi [y 1 , y 2 , y 3 ,..., y q ], 10≤q≤a, 0< i≤m , calculate the test statistic S of Yi:
其中,sgn(·)表示符号函数,q表示Yi[y1,y2,y3,...,yq]数据集的长度,yp表示第p个数据,p=1,2,3...q-1,yj表示第j个数据,j=p+1,2,3...q;where sgn( ) represents the symbolic function, q represents the length of the data set Yi [y 1 , y 2 , y 3 ,..., y q ], y p represents the p- th data, p=1, 2, 3...q-1, y j Represents the jth data, j=p+1,2,3...q;
根据得到的Yi的检验统计量S,确定Yi的检验标准量Z:According to the obtained test statistic S of Yi, determine the test standard Z of Yi:
当Z>0时,Ti时刻的预警指标具有增长趋势;当Z<0时,Ti时刻的预警指标具有降低趋势;当Z=0时,Ti时刻的预警指标不具有明显变化趋势。重复上述计算直到得到所有时刻对应的预警指标变化趋势;When Z>0, the early warning index at time T i has an increasing trend; when Z < 0, the early warning index at time T i has a decreasing trend; when Z=0, the early warning index at time T i does not have an obvious trend of change. Repeat the above calculation until the change trend of the early warning indicators corresponding to all times is obtained;
将各指标的实时变化趋势与冲击地压前兆表征规律进行对比,若正向预警指标存在增长趋势则进行预警,若负向预警指标存在降低趋势则进行预警,其它变化趋势则不进行预警。The real-time change trend of each index is compared with the characterization law of rockburst precursors. If the positive early warning index has an increasing trend, an early warning will be issued, if the negative early warning index has a decreasing trend, an early warning will be issued, and other changing trends will not be issued an early warning.
S102,利用混淆矩阵评价各指标的预警效能;S102, using a confusion matrix to evaluate the early warning effectiveness of each indicator;
本实施例中,混淆矩阵具体为以下2×2矩阵:In this embodiment, the confusion matrix is specifically the following 2×2 matrix:
本实施例中,根据混淆矩阵得到预警指标的预警效能为:In this embodiment, the early-warning efficiency of the early-warning index obtained according to the confusion matrix is:
其中,EFF表示预警效能;Recall表示召回率,其中表示预警为有冲击危险并且实际发生了冲击地压事件,表示预警为无冲击危险但实际发生了冲击地压事件;Precision表示精确率,其中表示预警为有冲击危险并且实际发生了冲击地压事件,表示预警为有冲击危险但实际未发生冲击地压事件。。Among them, EFF means early warning efficiency; Recall means recall rate, in Indicates that the warning is in danger of shock and a shock event has actually occurred, Indicates that the early warning is no risk of shock but a shock event has actually occurred; Precision indicates the accuracy rate, in Indicates that the warning is in danger of shock and a shock event has actually occurred, Indicates that the warning is a risk of shock but no shock event has actually occurred. .
本实施例中,EFF的趋势范围为0~1,其值越接近于1则表示预警效果越好。In this embodiment, the trend range of EFF is 0 to 1, and the closer the value is to 1, the better the warning effect is.
S103,基于预警效能最大化原则进行指标优选;S103, perform index selection based on the principle of maximizing early warning efficiency;
本实施例中,将所有预警指标的预警效能值按照从大到小进行排列,筛选其中排名前n%的指标用于下一步数据融合,其中,n取正整数,指标数量向上取整。In this embodiment, the early warning efficacy values of all early warning indicators are arranged in descending order, and the top n% of the indicators are screened for the next step of data fusion, where n is a positive integer and the number of indicators is rounded up.
S104,将优选指标对应的预警效能作为权重进行多指标融合得到冲击危险综合异常指数;S104, using the early warning efficiency corresponding to the preferred index as a weight to perform multi-index fusion to obtain a comprehensive anomaly index of impact risk;
本实施例中,将优选指标对应的预警效能作为权重输入冲击地压综合预警模型中,冲击地压综合预警模型利用综合异常指数法进行多指标融合得到冲击危险综合异常指数:In this embodiment, the early warning efficiency corresponding to the preferred index is input into the comprehensive rockburst early warning model as the weight, and the comprehensive rockburst early warning model uses the comprehensive abnormal index method to perform multi-index fusion to obtain the comprehensive shock risk comprehensive abnormal index:
其中,Q表示冲击危险综合异常指数;e表示自然底数,约等于2.718;n表示优选的指标总数;EFFk为第k个指标对应的预警效能;Wk(+/-)表示第k个正向/负向预警指标的异常隶属度,取值为0~1,具体计算方式为:Among them, Q is the comprehensive anomaly index of shock risk; e is the natural base, which is approximately equal to 2.718; n is the total number of preferred indicators; EFF k is the early warning efficiency corresponding to the k-th index; The abnormal membership degree of the positive/negative early warning index, which ranges from 0 to 1. The specific calculation method is as follows:
对于正向预警指标,异常隶属度的取值为:For positive early warning indicators, the value of abnormal membership is:
对于负向预警指标,异常隶属度的取值为:For negative early warning indicators, the value of abnormal membership is:
S105,将冲击危险综合异常指数与对应量化分级标准进行对比以确定冲击危险等级。S105, compare the impact risk comprehensive abnormality index with the corresponding quantitative classification standard to determine the impact risk level.
本实施例中,冲击危险量化分级标准具体为:In this embodiment, the impact hazard quantitative classification standard is specifically:
当0≤Q≤0.25时,为无冲击危险状态;When 0≤Q≤0.25, there is no impact danger state;
当0.25<Q≤0.5时,为弱冲击危险状态;When 0.25<Q≤0.5, it is a weak shock dangerous state;
当0.5<Q≤0.75时,为中冲击危险状态;When 0.5<Q≤0.75, it is in the dangerous state of medium impact;
当0.75<Q≤1时,为强冲击危险状态。When 0.75<Q≤1, it is a dangerous state of strong shock.
S106,定期于现场实际监测数据驱动下进行指标优选及权重更新。S106, regularly perform index selection and weight update driven by the actual monitoring data on site.
本实施例中,定期于现场实际监测数据驱动下进行指标优选,并将优选指标对应的预警效能作为权重输入冲击地压综合预警模型中,以实现冲击地压综合预警模型自反馈更新。In this embodiment, index optimization is carried out regularly driven by the actual monitoring data on site, and the early warning performance corresponding to the preferred index is input into the rockburst comprehensive early warning model as a weight, so as to realize self-feedback update of the rockburst comprehensive early warning model.
本实施例中,例如,可以在现场每隔1个月及以上(或在更换工作面、地质条件有较大改变、发生大能量矿震或冲击地压事件等情况下),利用现有所有历史监测数据重复步骤S101-S104,从前兆预警指标库中重新优选出适应的指标同时将其对应的预警效能作为权重输入冲击地压综合预警模型,以达到冲击地压综合预警模型自反馈更新最终提高适应性的目的。In this embodiment, for example, at the site every one month or more (or when the working face is replaced, the geological conditions are greatly changed, a large-energy mine earthquake or a ground pressure event occurs, etc.), all existing Steps S101-S104 are repeated for the historical monitoring data, and the adaptive indicators are re-selected from the precursory early warning indicator library, and the corresponding early warning performance is input into the rockburst comprehensive early warning model as a weight, so as to achieve the final self-feedback update of the rockburst comprehensive early warning model. The purpose of improving adaptability.
综上,本发明实施例所述的冲击地压多参量动态趋势预警方法,至少具有以下有益效果:To sum up, the multi-parameter dynamic trend early warning method for rock burst described in the embodiment of the present invention has at least the following beneficial effects:
1)能够自动判别预警指标的实时变化趋势,并利用预警指标变化趋势进行冲击地压预警;1) It can automatically determine the real-time change trend of early warning indicators, and use the change trend of early warning indicators to carry out rockburst early warning;
2)利用冲击危险综合异常指数对冲击地压危险进行定量化描述,避免了单一预警指标造成的误报/漏报率高及不同预警指标出现的预警等级冲突的现象;2) Using the comprehensive anomaly index of shock hazard to quantitatively describe the hazard of rock burst, avoiding the phenomenon of high false alarm/missing rate caused by a single early warning indicator and conflict of early warning levels caused by different early warning indicators;
3)在现场实际监测数据的驱动下进行定期自反馈更新,具有较强的可扩展性与适应性,适应井下复杂多变的工作条件,有助于对冲击地压进行高效、准确的监测预警,并为井下冲击地压的防治提供高效、准确的决策依据。3) Regular self-feedback update driven by on-site actual monitoring data, has strong scalability and adaptability, adapts to complex and changeable working conditions downhole, and is helpful for efficient and accurate monitoring and early warning of rock burst , and provide efficient and accurate decision-making basis for the prevention and control of downhole rock burst.
为了更好地理解本发明,结合具体的应用场景,对本实施例提供的冲击地压多参量动态趋势预警方法作进一步说明:In order to better understand the present invention, combined with specific application scenarios, the multi-parameter dynamic trend early warning method for rock burst provided by this embodiment is further described:
本实施例中,以某煤矿的某一工作面为例,首先搜集该工作面开采期间(2018年2月1日至2019年2月1日,其中2018年9月24日至2018年10月19日由于工作面迎检停采,无监测数据)的微震原始监测数据及相关信息:在工作面开采过程中共发生过15次冲击地压事件,对这15次冲击地压事件进行预警,具体步骤如下:In this embodiment, taking a certain working face of a coal mine as an example, first collect the mining period of the working face (February 1, 2018 to February 1, 2019, including September 24, 2018 to October 2018) The original microseismic monitoring data and related information on the 19th due to the mining stop due to the inspection of the working face and no monitoring data): During the mining process of the working face, a total of 15 rock burst events occurred, and early warning for these 15 rock burst events was given. Proceed as follows:
采集现场微震监测系统实时监测数据,以15天为时间窗口、1天为滑移步长对原始监测数据进行预处理,计算得到冲击地压危险“时-空-强”多元前兆预警指标的时间序列,各预警指标包括:日总频次、频次偏差值、平均总频次、缺震、A(b)值、微震活动标度、算法复杂度、P(b)值、时间信息熵、微震活动度、震源集中程度、日最大能量、日总能量、日平均能量、能量偏差值、平均总能量、断层总面积、b值共18个指标,其计算结果的时序变化曲线如图4~图21所示。其中正向预警指标包括:日最大能量、日总能量、日总频次、日平均能量、能量偏差值、频次偏差值、平均总能量、微震活动度、缺震、A(b)值、断层总面积、平均总频次、微震活动标度、算法复杂度;负向预警指标包括:震源集中程度、b值、P(b)值、时间信息熵。Collect the real-time monitoring data of the on-site microseismic monitoring system, preprocess the original monitoring data with 15 days as the time window and 1 day as the slip step, and calculate the time to obtain the “time-space-strong” multivariate precursory early warning indicators of rock burst danger. Sequence, each early warning index includes: daily total frequency, frequency deviation value, average total frequency, earthquake lack, A(b) value, microseismic activity scale, algorithm complexity, P(b) value, time information entropy, microseismic activity degree , focal concentration degree, daily maximum energy, daily total energy, daily average energy, energy deviation value, average total energy, total fault area, b value, a total of 18 indicators. Show. The positive early warning indicators include: daily maximum energy, daily total energy, daily total frequency, daily average energy, energy deviation value, frequency deviation value, average total energy, microseismic activity, lack of earthquake, A(b) value, fault total Area, average total frequency, microseismic activity scale, algorithm complexity; negative early warning indicators include: focus degree, b value, P(b) value, time information entropy.
利用Mann-Kendall趋势检验法判定各预警指标的实时变化趋势,在15次冲击地压事件发生的时刻各个预警指标的趋势判断结果如表1所示:The Mann-Kendall trend test method is used to determine the real-time change trend of each early warning index. The trend judgment results of each early warning index at the time of the occurrence of 15 rock burst events are shown in Table 1:
表1冲击地压前各预警指标趋势判定结果Table 1 The results of trend determination of early warning indicators before rock burst
注:“/”表示指标没有明显变化趋势。Note: "/" indicates that the indicator has no obvious trend of change.
将各指标变化趋势与冲击地压前兆表征规律相结合以进行预警,若在冲击地压事件前5d内指标发生预警则表示其对冲击地压危险预警正确。Combining the change trend of each index with the rockburst precursor characterization law for early warning, if the indicator occurs within 5 days before the rockburst event, it means that the early warning of the rockburst danger is correct.
利用混淆矩阵评价各指标预警效能,计算结果如表2所示:The confusion matrix is used to evaluate the early warning efficiency of each indicator, and the calculation results are shown in Table 2:
表2冲击地压预警指标预警效能评价Table 2 Early warning efficiency evaluation of rockburst early warning indicators
基于预警效能最大化原则进行指标优选,根据表2可以看出,各预警指标的预警效能按照如下顺序排列: 依照预警效能最大化原则,优选前兆预警指标库中预警效能排名前40%内的指标对应的预警效能输入冲击地压综合预警模型中,按照表2中计算结果选取了Emax,DF,Eavg,Esum,DE,Fsum,AC,P(b)等8个指标。Based on the principle of maximizing early warning efficiency, the indicators are selected. According to Table 2, it can be seen that the early warning efficiency of each early warning indicator is arranged in the following order: According to the principle of maximizing the early warning efficiency, the early warning efficiency corresponding to the indicators within the top 40% of the early warning efficiency in the precursor early warning index library is selected and input into the rockburst comprehensive early warning model, and E max , D F , E are selected according to the calculation results in Table 2. avg , E sum , D E , F sum , AC, P(b) and other 8 indicators.
利用综合异常指数法进行多指标融合得冲击危险综合异常指数Q,Q的时序变化曲线如图22所示。Q的不同取值对应不同冲击危险等级,具体如表3所示。Using the comprehensive abnormal index method to fuse multiple indicators, the shock risk comprehensive abnormal index Q is obtained, and the time series change curve of Q is shown in Figure 22. Different values of Q correspond to different shock hazard levels, as shown in Table 3.
表3冲击地压危险性分级Table 3 Rockburst hazard classification
冲击危险综合异常指数Q的预警效能在选取了Emax,DF,Eavg,Esum,DE,Fsum,AC,P(b)等8个指标时达到了0.563,高于任何单一预警指标的预警效能。之后当现场每隔1个月及以上(或在更换工作面、地质条件有较大改变、发生大能量矿震或冲击地压事件等情况下,重新进行指标的优选及权重确定,以适应现场复杂的工作条件变化。The early warning efficiency of the comprehensive anomaly index Q of impact risk reaches 0.563 when 8 indicators including E max , D F , E avg , E sum , D E , F sum , AC, P(b) are selected, which is higher than any single early warning Early warning performance of indicators. After that, when the site is replaced every one month or more (or when the working face is replaced, the geological conditions have changed greatly, and a large-energy mine earthquake or rock burst event occurs, etc., the selection of indicators and weight determination shall be performed again to suit the site. Complex working conditions change.
以上所述仅为本发明的较佳实施例,并不用以限制本发明,凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above are only preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the protection of the present invention. within the range.
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