CN111324968B - Laying method of microseismic monitoring sensors for inclined stratum tunnel engineering - Google Patents
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Abstract
本发明提供一种倾斜地层隧道工程微震监测传感器布设方法,属于地下工程安全监测技术领域。该方法首先确定监测区域微震事件的P波主入射方向;然后建立区域施工坐标系和符合监测区域地质特征的倾斜层状地层模型。忽略反射波、折射波等干扰波影响,进一步建立P波的射线路径方程;再将射线参数、地层参数、波速参数等依次代入射线方程,获取倾斜地层介质中传感器布设的最优位置;最后依次求解监测区域内各震源的P波其他主要入射方向对应的传感器位置即为三维监测区域内的传感器的最优布设位置。本方法计算简单,结果准确,可适用于公路隧道、水电隧洞、地下矿山等倾斜层状介质地下工程的微震监测传感器最优位置设计。
The invention provides a method for arranging microseismic monitoring sensors for inclined strata tunnel engineering, and belongs to the technical field of underground engineering safety monitoring. This method firstly determines the main incidence direction of P waves of microseismic events in the monitoring area; then establishes the regional construction coordinate system and the inclined layered stratigraphic model that conforms to the geological characteristics of the monitoring area. Ignore the influence of interference waves such as reflected waves and refracted waves, and further establish the ray path equation of the P wave; then substitute the ray parameters, formation parameters, and wave velocity parameters into the ray equation in turn to obtain the optimal position of the sensor layout in the inclined formation medium; finally Solving the sensor positions corresponding to the other main incidence directions of P waves of each seismic source in the monitoring area is the optimal layout position of the sensors in the three-dimensional monitoring area. The method is simple in calculation and accurate in results, and can be applied to the optimal position design of microseismic monitoring sensors in underground projects with inclined layered media such as highway tunnels, hydropower tunnels, and underground mines.
Description
技术领域Technical Field
本发明涉及地下工程安全监测技术领域,特别是指一种倾斜地层隧道工程微震监测传感器布设方法。The invention relates to the technical field of underground engineering safety monitoring, and in particular to a method for arranging microseismic monitoring sensors for inclined stratum tunnel engineering.
背景技术Background Art
自然界中具有层状构造的沉积岩大约占到陆地面积的2/3,而我国就占到77.3%,且许多变质岩也具有显著的层状构造特征。而我国已经成为世界发展最快的地下工程建设市场,尤其是在西部地区以山地为主的特殊地貌中,地下工程建设中将遇到大量的倾斜层状岩体稳定问题,对建设者提出了新的要求和挑战。微震监测技术由于其具有连续性、区域性和实时性监测等优点已被广泛应用于地下工程安全监测领域,如滨莱高速乐疃隧道施工监测、锦屏水电站3#引水隧洞TBM施工监测、二滩水电站大坝边坡安全监测、白鹤滩水电站左岸尾水连接管安全监测等。而微震监测传感器网络的空间布设研究是微震监测技术研究的首要任务:传感器布设位置优劣严重制约着微震监测系统运行稳定性、数据可靠性、以及微震定位精度和解译准确度。而这些又决定着地下工程安全评价的合理与否,如造成滑坡或隧道塌方的潜在裂隙面的发展趋势等。Sedimentary rocks with layered structures in nature account for about 2/3 of the land area, and my country accounts for 77.3%, and many metamorphic rocks also have significant layered structural characteristics. my country has become the world's fastest-growing underground engineering construction market, especially in the special landforms dominated by mountains in the western region. A large number of inclined layered rock stability problems will be encountered in underground engineering construction, which puts forward new requirements and challenges for builders. Microseismic monitoring technology has been widely used in the field of underground engineering safety monitoring due to its advantages such as continuity, regionality and real-time monitoring, such as the construction monitoring of Letuan Tunnel of Binlai Expressway, TBM construction monitoring of No. 3 diversion tunnel of Jinping Hydropower Station, safety monitoring of dam slope of Ertan Hydropower Station, and safety monitoring of tailwater connection pipe on the left bank of Baihetan Hydropower Station. The spatial layout research of microseismic monitoring sensor network is the primary task of microseismic monitoring technology research: the advantages and disadvantages of sensor layout location seriously restrict the operation stability, data reliability, and microseismic positioning accuracy and interpretation accuracy of microseismic monitoring system. These in turn determine the rationality of the safety assessment of underground projects, such as the development trend of potential cracks that may cause landslides or tunnel collapses.
国内外鲜有学者针对倾斜地层中地下工程微震监测网络优化设计方法进行系统研究,工程现场中大多是借鉴煤矿井下微震监测网络或地震监测领域台网布设相关理论或方法,如山西鸳鸯会隧道等工程的微震系统采用煤矿领域中的“内场”、“近场”和“远场”传感器布设方法;云南光山1号隧道采用全区域整体监测,掌子面重点监测的设计方法;锦屏一级水电站左岸边坡是基于D值优化理论,结合微震事件震源定位精度、监测系统灵敏度要求、工程条件以及监测目的进行的微震传感器的选型以及监测系统站网的优化设计;香炉山钨矿残采区地压灾害微震监测系统传感器空间布置时首先考虑对重点监测区域的定位误差较小和对较小震级事件具有较高的灵敏度,同时考虑到现场布置条件的限制;冬瓜山铜矿首采区微震监测要求的最佳监测系统配置方案通过D值理论求取,对大规模深井开采微震监测系统台网布置优化问题进行了研究,确定了满足。Few scholars at home and abroad have conducted systematic research on the optimization design method of microseismic monitoring network for underground engineering in inclined strata. Most of the engineering sites refer to the relevant theories or methods of underground microseismic monitoring network or network layout in the field of earthquake monitoring in coal mines. For example, the microseismic system of the Yuanyanghui Tunnel in Shanxi adopts the "in-field", "near-field" and "far-field" sensor layout methods in the field of coal mines; the design method of the Guangshan No. 1 Tunnel in Yunnan adopts the overall monitoring of the whole area and the key monitoring of the face; the left bank slope of Jinping I Hydropower Station is based on the D value optimization theory, combined with the microseismic event source positioning accuracy, monitoring system sensitivity requirements, engineering conditions and monitoring purposes. The selection of microseismic sensors and the optimization design of the monitoring system network are carried out; when arranging the sensors of the microseismic monitoring system for ground pressure disasters in the residual mining area of Xianglushan Tungsten Mine, the first consideration is to have a small positioning error in the key monitoring area and a high sensitivity to small magnitude events, while taking into account the limitations of the on-site layout conditions; the optimal monitoring system configuration scheme for the microseismic monitoring requirements of the first mining area of Dongguashan Copper Mine is obtained through the D value theory, and the optimization problem of the network layout of the microseismic monitoring system for large-scale deep well mining is studied and determined to meet the requirements.
总结目前这些方法会有以下几个弊端:(1)“内-外场”、“远-近场”、“整体覆盖-区域重点监测”等相关布设方法只是从宏观定性上对传感器布设区域进行规划,并不能给出可直接用于现场安装的具体坐标;(2)D值优化、C值优化等理论算法的核心都是在均匀介质或波速为常数的理想环境下求解,未考虑地下工程倾斜层状地层的影响,与工程实际不符。In summary, these current methods have the following disadvantages: (1) Related deployment methods such as "inside-outside field", "far-near field", and "overall coverage-regional key monitoring" only plan the sensor deployment area from a macro qualitative perspective, and cannot provide specific coordinates that can be directly used for on-site installation; (2) The core of theoretical algorithms such as D value optimization and C value optimization are all solved in an ideal environment where the medium is uniform or the wave velocity is constant, without considering the impact of the inclined layered strata of the underground project, which is inconsistent with the actual project.
发明内容Summary of the invention
本发明要解决的技术问题是提供一种倾斜地层隧道工程微震监测传感器布设方法,通过监测对象的受力特点和监测区域内震源机制特征统计规律,确定监测区域微震事件的P波主入射方向;建立二维区域施工坐标系和符合监测区域地质特征的层状地层模型,进一步建立P波的射线路径方程,将射线参数、地层参数、波速参数等依次代入射线方程,最终可获取倾斜层状介质中传感器布设的最优位置;依次求解监测区域内各震源的P波其他主要入射方向对应的传感器位置即为三维监测区域内的传感器的最优布设位置。本方法同样适用于土木、水电等水平层状介质地下工程的微震监测传感器最优位置设计。The technical problem to be solved by the present invention is to provide a method for laying out microseismic monitoring sensors for inclined stratum tunnel engineering. The main incident direction of the P wave of the microseismic event in the monitoring area is determined by the stress characteristics of the monitored object and the statistical laws of the focal mechanism characteristics in the monitoring area; a two-dimensional regional construction coordinate system and a layered stratum model that conforms to the geological characteristics of the monitoring area are established, and the ray path equation of the P wave is further established. The ray parameters, stratum parameters, wave velocity parameters, etc. are substituted into the ray equation in sequence, and finally the optimal position of the sensor layout in the inclined layered medium can be obtained; the sensor positions corresponding to the other main incident directions of the P wave of each source in the monitoring area are solved in sequence, which is the optimal layout position of the sensor in the three-dimensional monitoring area. This method is also applicable to the optimal position design of microseismic monitoring sensors for underground projects in horizontal layered media such as civil engineering and hydropower.
该方法包括步骤如下:The method comprises the following steps:
(1)确定P波主入射方向:根据监测对象的受力特点和监测区域内震源机制特征统计规律,确定监测区域微震事件的P波主入射方向;(1) Determine the main incident direction of the P wave: Determine the main incident direction of the P wave of the microseismic event in the monitoring area based on the stress characteristics of the monitored object and the statistical laws of the focal mechanism characteristics in the monitoring area;
(2)建立坐标系和地层模型:根据微震主监测区域和传感器布设区域,建立区域施工坐标系和倾斜层状地层模型,根据现场勘测资料或波速测试仪等获取地层模型中各层波速、层厚地质参数;(2) Establishing a coordinate system and formation model: According to the main microseismic monitoring area and the sensor deployment area, establish a regional construction coordinate system and an inclined layered formation model, and obtain the wave velocity and layer thickness geological parameters of each layer in the formation model based on field survey data or wave velocity testers;
(3)倾斜地层的倾角和层厚的地质换算:倾斜地层模型需考虑倾向及倾角对P波传播方向的影响,P波射线传播轨迹所在的剖面可能与地层倾向不平行,因此在计算过程中需事先将真倾角转换为视倾角。此外,各岩层的顶、底界线之间的垂直距离也不再是地层真厚度,而是视厚度。由于地层的铅直厚度恒定,故视厚度可通过铅直厚度与视倾角计算求得。倾斜地层模型需考虑倾向及倾角对P波传播方向的影响,在计算过程中需事先将真倾角转换为视倾角,将地层的铅直厚度转为视厚度;(3) Geological conversion of dip angle and layer thickness of inclined strata: The inclined strata model needs to consider the influence of dip and dip angle on the propagation direction of P waves. The section where the P-wave ray propagation trajectory is located may not be parallel to the strata dip. Therefore, the true dip angle must be converted into the apparent dip angle in advance during the calculation process. In addition, the vertical distance between the top and bottom boundaries of each rock layer is no longer the true thickness of the strata, but the apparent thickness. Since the vertical thickness of the strata is constant, the apparent thickness can be calculated by the vertical thickness and the apparent dip angle. The inclined strata model needs to consider the influence of dip and dip angle on the propagation direction of P waves. In the calculation process, the true dip angle must be converted into the apparent dip angle in advance, and the vertical thickness of the strata must be converted into the apparent thickness;
(4)建立P波的射线路径方程:矿山微震监测信号中的反射波、折射波等能量占比相对较小,仅考虑传感器接收的透射波,忽略干扰波影响,基于步骤(1)中确定的P波主入射方向,联合snell定律,建立该方向P波在步骤(2)中的坐标系和地层模型中的射线路径方程;(4) Establishing the ray path equation of the P wave: The energy of reflected waves, refracted waves, etc. in the mine microseismic monitoring signal accounts for a relatively small proportion. Only the transmitted waves received by the sensor are considered, and the influence of interference waves is ignored. Based on the main incident direction of the P wave determined in step (1), combined with Snell's law, the ray path equation of the P wave in this direction in the coordinate system and the formation model in step (2) is established;
(5)求解传感器最优位置:将步骤(2)中层厚参数、波速参数等和步骤(3)中视倾角、视厚度等依次代入步骤(4)中的射线路径方程,得到步骤(2)中倾斜层状地层介质中传感器布设的最优位置;(5) Solving the optimal position of the sensor: Substituting the layer thickness parameters, wave velocity parameters, etc. in step (2) and the apparent dip angle, apparent thickness, etc. in step (3) into the ray path equation in step (4) in sequence, and obtaining the optimal position of the sensor in the inclined layered stratum medium in step (2);
(6)地下工程三维监测区域的传感器位置求解:按照步骤(2)-步骤(5)依次求解监测区域内各震源的P波主要入射方向对应的传感器位置即为三维监测区域内的传感器的最优布设位置。(6) Determining the sensor positions in the three-dimensional monitoring area of underground engineering: According to steps (2) to (5), the sensor positions corresponding to the main incident directions of the P waves of each earthquake source in the monitoring area are solved in sequence, which are the optimal deployment positions of the sensors in the three-dimensional monitoring area.
其中,步骤(1)中监测对象受力特点包括在重力和区域构造应力场的水平应力作用下的塌方、开挖卸荷引起应力重分布导致的底鼓、岩爆等;监测区域内震源机制特征统计规律指监测区域内主要微震事件应力释放方向的主压应力轴、中等应力轴或主张应力轴的方位、仰角分布特征,从而确定P波主入射方向;某一主震源o(x0,z0)的P波初始入射角用θ0表示。The stress characteristics of the monitored object in step (1) include collapse under the action of gravity and horizontal stress of the regional tectonic stress field, bottom drum and rock burst caused by stress redistribution caused by excavation unloading; the statistical law of the focal mechanism characteristics in the monitoring area refers to the azimuth and elevation distribution characteristics of the main compressive stress axis, the intermediate stress axis or the main stress axis in the stress release direction of the main microseismic events in the monitoring area, so as to determine the main incident direction of the P wave; the initial incident angle of the P wave of a certain main earthquake source o (x 0 , z 0 ) is represented by θ 0 .
步骤(2)中区域施工坐标系根据地下工程现场测量习惯而定,包括大地坐标系、高斯平面直角坐标系;建立的区域施工坐标系保证微震主监测区域和传感器布设区域位于坐标系第一象限,坐标系的原点记为O(0,0);地层模型从下往上依次记为Z1,Z2,…,Zi,…,Zn,其中,i为层数,i=1,2,…,n;Zi,Zi+1分别为第i层的下边界和上边界;vi、θi、hi、Hi分别表示拟监测区域内第i层的速度、入射角、真实厚度和铅直厚度;待监测区域主震源所在地层用第0层表示,拟布设传感器区域最上层的地层用第n层表示,v0、H0分别表示待监测主震源所在地层的速度、坐标系底面到其上部岩层分界面的铅直厚度,θ0为监测区域内主震源初始入射角,Hn表示待监测区域顶部到其下部岩层分界面的铅直厚度。In step (2), the regional construction coordinate system is determined according to the measurement practice of underground engineering sites, including the geodetic coordinate system and the Gaussian plane rectangular coordinate system; the regional construction coordinate system is established to ensure that the microseismic main monitoring area and the sensor deployment area are located in the first quadrant of the coordinate system, and the origin of the coordinate system is recorded as O(0,0); the stratum model is recorded as Z 1 , Z 2 , …, Zi , …, Z n from bottom to top, where i is the number of layers, i=1,2,…,n; Zi , Zi +1 are the lower boundary and upper boundary of the i-th layer respectively; vi , θ i , h i , H i respectively represent the velocity, incident angle, true thickness and vertical thickness of the i-th layer in the intended monitoring area; the stratum where the main earthquake source of the area to be monitored is located is represented by the 0th layer, and the stratum at the top of the area where the sensors are to be deployed is represented by the nth layer; v 0 , H 0 respectively represent the velocity of the stratum where the main earthquake source to be monitored is located, the vertical thickness from the bottom of the coordinate system to the interface of the upper rock layer, θ 0 is the initial incident angle of the main earthquake source in the monitoring area, and Hn represents the vertical thickness from the top of the monitored area to the interface of the rock layer below it.
步骤(3)中倾斜地层的真倾角与视倾角之间的转换关系为:The conversion relationship between the true dip angle and the apparent dip angle of the inclined stratum in step (3) is:
tanβi=tanαi·cosω,i=0,1,2,…,ntanβ i =tanα i ·cosω,i=0,1,2,…,n
视厚度通过铅直厚度与视倾角计算求得,公式为:The apparent thickness is calculated by vertical thickness and apparent inclination angle, and the formula is:
Hi=hi/cosαi, Hi = hi / cosαi ,
其中,αi为第i层的真倾角,βi为第i层的视倾角,ω为射线所在剖面与倾向之间的夹角,即视倾向与真倾向的夹角;hi、Hi分别为第i层的真实厚度、视厚度和铅直厚度;待监测区域主震源所在地层用第0层表示,拟布设传感器区域最上层的地层用第n层表示,H0分别表示待监测区域坐标系底面到其上部岩层分界面的铅直厚度,Hn表示待监测区域顶部到其下部岩层分界面的铅直厚度。Among them, α i is the true dip angle of the i-th layer, β i is the apparent dip angle of the i-th layer, ω is the angle between the section where the ray is located and the dip, that is, the angle between the apparent dip and the true dip; h i , Hi represents the true thickness, apparent thickness and vertical thickness of the i-th layer respectively; the stratum where the main earthquake source of the monitored area is located is represented by the 0th layer, and the uppermost stratum in the area where the sensors are to be deployed is represented by the nth layer. H0 represents the vertical thickness from the bottom of the coordinate system of the monitored area to the interface of its upper rock layer, and Hn represents the vertical thickness from the top of the monitored area to the interface of its lower rock layer.
步骤(4)中射线路径方程为:The ray path equation in step (4) is:
p=sinθi/vi;p=sinθ i /v i ;
其中,p为射线参数,i为层数,i=0,1,2,…,n,待监测区域主震源所在地层用第0层表示,拟布设传感器区域最上层的地层用第n层表示;vi,θi分别表示拟监测区域内第i层的速度和入射角。Where p is the ray parameter, i is the layer number, i = 0, 1, 2, …, n, the stratum where the main earthquake source is located in the area to be monitored is represented by the 0th layer, and the uppermost stratum in the area where the sensors are to be deployed is represented by the nth layer; vi , θi represent the velocity and incident angle of the i-th layer in the area to be monitored, respectively.
利用几何关系可得到震源与接收点两点之间的水平距离Δ(震中距)的计算公式:The calculation formula of the horizontal distance Δ (epicenter distance) between the earthquake source and the receiving point can be obtained by using geometric relationships:
不同震相有各自的射线路径方程,通过定义等效层厚可以化为相同的形式,带入射线参数p=sinθk/vk可得:Different seismic phases have their own ray path equations, which are defined by the equivalent layer thickness It can be transformed into the same form, and the ray parameter p = sinθ k /v k is obtained:
式中,hi表示拟监测区域内第i层的真实厚度,H0分别表示待监测区域坐标系底面到其上部岩层分界面的铅直厚度,Hn表示待监测区域顶部到其下部岩层分界面的铅直厚度。Where hi represents the true thickness of the i-th layer in the planned monitoring area, H0 represents the vertical thickness from the bottom of the coordinate system of the monitored area to the interface of the upper rock layer, and Hn represents the vertical thickness from the top of the monitored area to the interface of the lower rock layer.
步骤(5)中,根据snell定律,射线参数p为定值:In step (5), according to Snell's law, the ray parameter p is a constant:
式中,θ0为监测区域内主震源初始入射角,v0表示待监测主震源所在地层的速度,i为层数,i=0,1,2,…,n,待监测区域主震源所在地层用第0层表示,拟布设传感器区域最上层的地层用第n层表示,vi、θi分别表示拟监测区域内第i层的速度、入射角;Where θ0 is the initial incident angle of the main earthquake source in the monitoring area, v0 represents the velocity of the stratum where the main earthquake source to be monitored is located, i is the number of layers, i = 0, 1, 2, ..., n, the stratum where the main earthquake source in the monitoring area is located is represented by the 0th layer, the top layer of the area where the sensor is to be deployed is represented by the nth layer, and vi and θi represent the velocity and incident angle of the i-th layer in the monitoring area respectively;
最终确定射线在层状地层中的出射点位置,即为传感器布设的最优位置:Finally, the position of the ray’s exit point in the layered strata is determined, which is the optimal position for sensor deployment:
式中,为等效层厚,x0表示震源在区域坐标系中的横向坐标,z0表示震源在区域坐标系中的竖向坐标,H0表示坐标系底面到其上部岩层分界面的铅直厚度,hi为第i层的真实厚度,Hn表示待监测区域顶部到其下部岩层分界面的铅直厚度,βi为第i层的视倾角,β0为主震源所在地层的视倾角,αi为第i层的真倾角,βn表示待监测区域最上层的视倾角。In the formula, is the equivalent layer thickness, x0 represents the lateral coordinate of the earthquake source in the regional coordinate system, z0 represents the vertical coordinate of the earthquake source in the regional coordinate system, H0 represents the vertical thickness from the bottom of the coordinate system to the interface of the upper rock layer, hi represents the true thickness of the i-th layer, Hn represents the vertical thickness from the top of the area to be monitored to the interface of the lower rock layer, βi represents the apparent dip angle of the i-th layer, β0 represents the apparent dip angle of the stratum where the main earthquake source is located, αi represents the true dip angle of the i-th layer, and βn represents the apparent dip angle of the uppermost layer in the area to be monitored.
本发明的上述技术方案的有益效果如下:The beneficial effects of the above technical solution of the present invention are as follows:
(1)煤矿领域中“内-外场”、“远-近场”、“整体覆盖-区域重点监测”等相关布设方法只是从宏观定性上对传感器布设区域进行规划,并不能给出可直接用于现场安装的具体坐标,而本发明可计算出确切的布设坐标,以便于施工。(1) In the field of coal mining, relevant deployment methods such as "inside-outside field", "far-near field", "overall coverage-regional key monitoring" only plan the sensor deployment area from a macro qualitative perspective, and cannot provide specific coordinates that can be directly used for on-site installation. The present invention can calculate the exact deployment coordinates to facilitate construction.
(2)以往D值优化、C值优化等理论算法的核心都是在均匀介质或波速为常数的理想环境下求解,未考虑地下工程倾斜层状地层的影响,与工程实际不符。本发明的求解过程是基于现场真实地质模型,考虑了地下工程倾斜层状地层的影响,更符合工程现场。(2) The core of the previous theoretical algorithms such as D value optimization and C value optimization is to solve in an ideal environment where the wave velocity is constant in a uniform medium, without considering the influence of the inclined layered strata of the underground project, which is inconsistent with the actual project. The solution process of the present invention is based on the real geological model on site, taking into account the influence of the inclined layered strata of the underground project, which is more in line with the project site.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
图1为本发明的倾斜地层隧道工程微震监测传感器布设方法工艺流程图;FIG1 is a process flow chart of a method for deploying microseismic monitoring sensors for tunnel engineering in inclined strata according to the present invention;
图2为本发明的倾斜地层隧道工程微震监测传感器布设方法的倾斜地层中视倾角与真倾角位置关系示意图;FIG2 is a schematic diagram showing the positional relationship between the apparent inclination angle and the true inclination angle in the inclined stratum of the method for deploying microseismic monitoring sensors for tunnel engineering in inclined stratum according to the present invention;
图3为本发明的倾斜地层隧道工程微震监测传感器布设方法倾斜地层中真厚度、视厚度与铅直厚度的位置关系示意图,其中,(a)为真厚度与铅直厚度位置关系,(b)为视厚度与铅直厚度关系;FIG3 is a schematic diagram of the positional relationship between the true thickness, apparent thickness and vertical thickness in the inclined stratum of the method for laying microseismic monitoring sensors for tunnel engineering in inclined stratum according to the present invention, wherein (a) is the positional relationship between the true thickness and the vertical thickness, and (b) is the relationship between the apparent thickness and the vertical thickness;
图4为本发明的倾斜地层隧道工程微震监测传感器布设方法的二维模型示意图;FIG4 is a schematic diagram of a two-dimensional model of a method for deploying microseismic monitoring sensors for tunnel engineering in inclined strata according to the present invention;
图5为本发明的倾斜地层隧道工程微震监测传感器布设方法三维监测区域内传感器求解及布设示意图。5 is a schematic diagram of sensor solution and layout in a three-dimensional monitoring area of a microseismic monitoring sensor deployment method for a tunnel engineering project in inclined strata according to the present invention.
其中:1-岩层真倾角;2--真厚度;3-铅直厚度;4-岩层视倾角;5-视厚度;6-真倾向与视倾向的夹角;7-监测区域及传感器布设区域;8-传感器布设位置水平线;9-地层分界线;10-各类岩层;11-震源;12-P波初始入射角;13-入射角;14-射线路径;15-传感器的最优位置。Among them: 1-true dip of rock formation; 2-true thickness; 3-vertical thickness; 4-apparent dip of rock formation; 5-apparent thickness; 6-angle between true dip and apparent dip; 7-monitoring area and sensor deployment area; 8-horizontal line of sensor deployment position; 9-stratum boundary line; 10-various rock formations; 11-seismic source; 12-initial incident angle of P wave; 13-incident angle; 14-ray path; 15-optimal position of sensor.
具体实施方式DETAILED DESCRIPTION
为使本发明要解决的技术问题、技术方案和优点更加清楚,下面将结合附图及具体实施例进行详细描述。In order to make the technical problems, technical solutions and advantages to be solved by the present invention more clear, a detailed description will be given below with reference to the accompanying drawings and specific embodiments.
本发明针对现有的煤矿领域中“内-外场”等微震监测传感器布设宏观定性方法无法提供准确安装位置,D值优化理论等定量方法又未考虑现场倾斜地层介质影响而不够准确等问题,提供一种倾斜地层隧道工程微震监测传感器布设方法。The present invention aims to solve the problems that the existing macro-qualitative methods for deploying microseismic monitoring sensors such as "inside-outside field" in the coal mine field cannot provide accurate installation positions, and quantitative methods such as D value optimization theory do not consider the influence of the on-site inclined stratum medium and are not accurate enough. A method for deploying microseismic monitoring sensors for tunnel engineering in inclined strata is provided.
如图1所示,该方法包括步骤如下:As shown in FIG1 , the method comprises the following steps:
(1)确定P波主入射方向:根据监测对象的受力特点和监测区域内震源机制特征统计规律,确定监测区域微震事件的P波主入射方向;(1) Determine the main incident direction of the P wave: Determine the main incident direction of the P wave of the microseismic event in the monitoring area based on the stress characteristics of the monitored object and the statistical laws of the focal mechanism characteristics in the monitoring area;
(2)建立坐标系和地层模型:根据微震主监测区域和传感器布设区域,建立区域施工坐标系和倾斜层状地层模型,根据现场勘测资料或波速测试仪获取地层模型中各层波速、层厚地质参数;(2) Establishing a coordinate system and a formation model: Based on the main microseismic monitoring area and the sensor deployment area, establish a regional construction coordinate system and an inclined layered formation model, and obtain the wave velocity and layer thickness geological parameters of each layer in the formation model based on the field survey data or the wave velocity tester;
(3)倾斜地层的倾角和层厚的地质换算:倾斜地层模型需考虑倾向及倾角对P波传播方向的影响,在计算过程中需事先将真倾角转换为视倾角,将地层的铅直厚度转为视厚度;(3) Geological conversion of dip angle and layer thickness of inclined strata: The model of inclined strata needs to consider the influence of dip and dip angle on the propagation direction of P waves. In the calculation process, the true dip angle needs to be converted into the apparent dip angle and the vertical thickness of the strata needs to be converted into the apparent thickness.
(4)建立P波的射线路径方程:矿山微震监测信号中仅考虑传感器接收的透射波,基于步骤(1)中确定的P波主入射方向,联合snell定律,建立该方向P波在步骤(2)中的坐标系和地层模型中的射线路径方程;(4) Establishing the ray path equation of the P wave: Only the transmitted wave received by the sensor is considered in the mine microseismic monitoring signal. Based on the main incident direction of the P wave determined in step (1), combined with Snell's law, the ray path equation of the P wave in this direction in the coordinate system and the formation model in step (2) is established;
(5)求解传感器最优位置:将步骤(2)中层厚参数、波速参数和步骤(3)中视倾角、视厚度依次代入步骤(4)中的射线路径方程,得到步骤(2)中倾斜层状地层介质中传感器布设的最优位置;(5) Solving the optimal position of the sensor: Substituting the layer thickness parameter and wave velocity parameter in step (2) and the apparent inclination angle and apparent thickness in step (3) into the ray path equation in step (4) in sequence, and obtaining the optimal position of the sensor in the inclined layered stratum medium in step (2);
(6)地下工程三维监测区域的传感器位置求解:按照步骤(2)-步骤(5)依次求解监测区域内各震源的P波主要入射方向对应的传感器位置即为三维监测区域内的传感器的最优布设位置。(6) Determining the sensor positions in the three-dimensional monitoring area of underground engineering: According to steps (2) to (5), the sensor positions corresponding to the main incident directions of the P waves of each earthquake source in the monitoring area are solved in sequence, which are the optimal deployment positions of the sensors in the three-dimensional monitoring area.
本发明计算采用的地层模型如图4所示,三维监测区域的内计算原理如图5所示。The stratum model used in the calculation of the present invention is shown in FIG4 , and the internal calculation principle of the three-dimensional monitoring area is shown in FIG5 .
在具体实施中,首先确定监测区域内震源的P波主要入射方向,然后在监测区域及传感器布设区域7中建立二维坐标系,如图4所示,区域最上层为传感器布设位置水平线8,各类岩层10之间为地层分界线9,根据震源11的P波初始入射角12可计算各类岩层10中的射线路径14相应的入射角13,最终可计算出传感器的最优位置15。In the specific implementation, the main incident direction of the P wave of the earthquake source in the monitoring area is first determined, and then a two-dimensional coordinate system is established in the monitoring area and the
倾斜地层中视倾角与真倾角位置关系如图2所示,倾斜地层中真厚度、视厚度与铅直厚度的位置关系如图3所示,其中,1表示岩层真倾角,2表示真厚度,3表示铅直厚度,4表示岩层视倾角,5表示视厚度,6为真倾向与视倾向的夹角。The positional relationship between the apparent dip and the true dip in the inclined strata is shown in Figure 2, and the positional relationship between the true thickness, apparent thickness and vertical thickness in the inclined strata is shown in Figure 3, wherein 1 represents the true dip of the rock strata, 2 represents the true thickness, 3 represents the vertical thickness, 4 represents the apparent dip of the rock strata, 5 represents the apparent thickness, and 6 is the angle between the true dip and the apparent dip.
根据监测区域内其他震源的P波主要入射方向统计规律,按照步骤(2)、步骤(3)和步骤(4)再次求解,可获得不同布设方向上的传感器位置。由于不同震源的P波传输方向各异,传感器的位置将分布在监测区域的三维空间上。According to the statistical law of the main incident direction of P waves from other sources in the monitoring area, the sensor positions in different deployment directions can be obtained by solving again according to steps (2), (3) and (4). Since the P wave transmission directions of different sources are different, the positions of sensors will be distributed in the three-dimensional space of the monitoring area.
下面结合具体实施例予以说明。This will be described below with reference to specific embodiments.
实施例1Example 1
(1)西南地区一倾斜地质条件下的某地下工程存在塌方的危险,为保障该地下工程的稳定,拟引进微震监测系统对该区域进行监测,首批拟在区域边长为100m的正方体区域A1B1C1D1-ABCD的边界上安装4个传感器,现需要对4个传感器位置进行优化设计。(1) An underground project under inclined geological conditions in the southwest region is in danger of collapse. To ensure the stability of the underground project, a microseismic monitoring system is planned to be introduced to monitor the area. The first batch of four sensors are planned to be installed on the boundary of the cube area A1B1C1D1 - ABCD with a side length of 100m. Now it is necessary to optimize the design of the positions of the four sensors .
(2)根据监测对象受力特点和监测区域内震源机制特征统计规律,初步判断监测区域内各震源P波的主入射方向如图5所示,入射点位于监测区域底面中心,可用J表示,入射角θJ=10°。入射方向在竖直方向上隶属于面A1C1CA,在水平方向上隶属于面ABCD,即ωJ=45°。(2) According to the stress characteristics of the monitored object and the statistical law of the focal mechanism characteristics in the monitored area, the main incident direction of the P wave of each source in the monitored area is preliminarily determined as shown in Figure 5. The incident point is located at the center of the bottom surface of the monitored area, which can be represented by J, and the incident angle θ J = 10°. The incident direction belongs to the plane A 1 C 1 CA in the vertical direction and to the plane ABCD in the horizontal direction, that is, ω J = 45°.
(3)此区域的施工坐标系以A为原点,坐标轴xyz如图4所示。地层为三层,各层的真倾角均相等α=30°,从下到上四层地层相关参数分别如下:v0=1995m/s,H1=22m,v1=2126m/s,H2=53m,,v2=2320m/s,v3=2272m/s。待监测区域坐标系底面到其上部岩层分界面的铅直厚度根据计算可知J点的施工坐标为XJ0=(50,50,0),J点距离上部岩层的铅直距离为d0=H0/3,待监测区域顶部到其下部岩层分界面(第三层地质底面)的铅直厚度H3=32.57m。(3) The construction coordinate system of this area takes A as the origin, and the coordinate axes xyz are shown in Figure 4. The stratum consists of three layers, and the true inclination of each layer is equal to α = 30°. The relevant parameters of the four layers from bottom to top are as follows: v 0 = 1995m/s, H 1 = 22m, v 1 = 2126m/s, H 2 = 53m, v 2 = 2320m/s, v 3 = 2272m/s. The vertical thickness from the bottom of the coordinate system of the monitored area to the interface of the upper rock layer According to calculation, the construction coordinates of point J are X J0 = (50,50,0), the vertical distance between point J and the upper rock layer is d 0 = H 0 /3, and the vertical thickness from the top of the monitored area to the interface of the lower rock layer (the third geological bottom) is H 3 = 32.57m.
(4)根据所述步骤(3)中倾斜地层的真倾角与视倾角之间的转换关系,可求得视倾角βJ=22.21°。(4) According to the conversion relationship between the true dip angle and the apparent dip angle of the inclined stratum in step (3), the apparent dip angle β J = 22.21° can be obtained.
(5)根据步骤(5)中的传感器布设的最优位置计算公式,将步骤(3)和步骤(4)中地层各层厚度、波速、初始震源位置、初始入射角、视倾角等参数依次代入,最终求解该方向上的传感器最优布设位置的坐标为:XJ0=(96.68,96.68,100)。(5) According to the calculation formula for the optimal position of sensor deployment in step (5), the thickness of each layer, wave velocity, initial source position, initial incident angle, apparent dip angle and other parameters in steps (3) and (4) are substituted in sequence, and the coordinates of the optimal sensor deployment position in this direction are finally solved as follows: X J0 = (96.68, 96.68, 100).
(5)由于要布设4个传感器,再次根据监测对象受力特点和监测区域内震源机制特征统计规律,获取监测区域内各震源P波的另外3个主入射方向如图5所示,入射点可分别用D、M、N三个点表示,入射角依次为:θD=15°,θM=20°,θN=25°。竖直方向上分别隶属于面D1B1BD、N1E1EN、A1B1BA,水平方向上都隶属于面ABCD上,即视倾向与真倾向的夹角分布为ωD=-45°,ωM=0°,ωN=0°。(5) Since four sensors are to be deployed, the other three main incident directions of the P waves of each source in the monitoring area are obtained according to the stress characteristics of the monitored object and the statistical law of the focal mechanism characteristics in the monitoring area, as shown in Figure 5. The incident points can be represented by three points D, M, and N, respectively, and the incident angles are: θ D = 15°, θ M = 20°, and θ N = 25°. In the vertical direction, they belong to the planes D 1 B 1 BD, N 1 E 1 EN, and A 1 B 1 BA, respectively, and in the horizontal direction, they belong to the plane ABCD, that is, the angle distribution between the apparent dip and the true dip is ω D = -45°, ω M = 0°, and ω N = 0°.
根据计算可知D、M、N三个震源点的施工坐标为XD0=(0,100,0),XM0=(0,50,0),XD0=(0,50,0),D、N点距离上部岩层的铅直距离为d0=h0,M点距离上部岩层的铅直距离为d0=H0/3,如图3所示。According to calculation, the construction coordinates of the three earthquake source points D, M, and N are X D0 = (0,100,0), X M0 = (0,50,0), and X D0 = (0,50,0). The vertical distances between points D and N and the upper rock layer are d 0 = h 0 , and the vertical distance between point M and the upper rock layer is d 0 = H 0 /3, as shown in FIG3 .
根据所述步骤(3)中倾斜地层的真倾角与视倾角之间的转换关系,可求得视倾角βD=22.21°,βM=30°,βN=30°,如图2所示。According to the conversion relationship between the true dip angle and the apparent dip angle of the inclined stratum in step (3), the apparent dip angles β D = 22.21°, β M = 30°, and β N = 30° can be obtained, as shown in FIG. 2 .
(6)依次根据三个主入射方向所在的竖直面建立二维区域坐标系,同理根据步骤(3)中的传感器布设的最优位置计算公式,将地层各层厚度、波速、初始震源位置、初始入射角、视倾角等参数依次代入,最终求解此三个方向上的传感器最优布设位置的坐标为:XD0=(56.49,43.51,100),XM0=(100,0,38.99),XN0=(100,50,63.97)。(6) A two-dimensional regional coordinate system is established in turn according to the vertical planes where the three main incident directions are located. Similarly, according to the optimal sensor layout calculation formula in step (3), the thickness of each layer, wave velocity, initial source position, initial incident angle, apparent dip angle and other parameters are substituted in turn, and the coordinates of the optimal sensor layout positions in these three directions are finally solved as follows: X D0 = (56.49, 43.51, 100), X M0 = (100, 0, 38.99), X N0 = (100, 50, 63.97).
(7)由于不同震源的P波传输方向各异,传感器的位置将分布在监测区域的三维空间上,四个传感器的位置如图5所示的XJ1、XD1、XM1、XN1的黑色三角形所在位置。(7) Since the P-wave transmission directions of different earthquake sources are different, the locations of the sensors will be distributed in the three-dimensional space of the monitoring area. The locations of the four sensors are the black triangles of X J1 , X D1 , X M1 , and X N1 as shown in FIG5 .
以上所述是本发明的优选实施方式,应当指出,对于本技术领域的普通技术人员来说,在不脱离本发明所述原理的前提下,还可以做出若干改进和润饰,这些改进和润饰也应视为本发明的保护范围。The above is a preferred embodiment of the present invention. It should be pointed out that for ordinary technicians in this technical field, several improvements and modifications can be made without departing from the principles of the present invention. These improvements and modifications should also be regarded as the scope of protection of the present invention.
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