CN115542393A - Full-waveform inversion method of roadway while digging based on multi-parameter constraints and structure correction - Google Patents
Full-waveform inversion method of roadway while digging based on multi-parameter constraints and structure correction Download PDFInfo
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Abstract
本发明公开了一种基于多参数约束和结构校正的随掘巷道全波形反演方法,包括以下步骤:步骤1、构建全波形反演初始模型,再采用多尺度弹性波全波形反演方法对初始模型进行单一尺度反演;步骤2、对单一尺度反演结果进行多参数加权约束结构校正,得到初步校正结果;步骤3、基于预先设定的限制条件,对初步校正结果进行一维波速剖面空间结构校正和平滑约束,得到二次校正结果;步骤4、将二次校正结果作为下一尺度的初始模型,继续进行全波形反演;重复步骤2~步骤4,直至所有尺度反演完成,得到全波形反演结果。本发明能够有效解决随掘巷道超前探测中观测系统限制性较强、探测数据量较少且偏移距偏小、波形反演多解性强的问题,提升反演效果。
The invention discloses a full-waveform inversion method based on multi-parameter constraints and structure correction, which includes the following steps: Step 1, constructing an initial full-waveform inversion model, and then adopting a multi-scale elastic wave full-waveform inversion method to Perform single-scale inversion of the initial model; step 2, perform multi-parameter weighted constraint structure correction on the single-scale inversion results, and obtain preliminary correction results; step 3, perform one-dimensional wave velocity profile on the preliminary correction results based on pre-set constraints Spatial structure correction and smoothing constraints to obtain the secondary correction result; step 4, use the secondary correction result as the initial model of the next scale, and continue the full waveform inversion; repeat steps 2 to 4 until all scale inversions are completed, Get the full waveform inversion result. The present invention can effectively solve the problems that the observation system is highly restrictive, the amount of detection data is small, the offset distance is relatively small, and the waveform inversion has multiple solutions in the advanced detection of the roadway with excavation, and the inversion effect is improved.
Description
技术领域technical field
本发明涉及矿山勘探成像技术领域,尤其涉及一种基于多参数约束和结构校正的随掘巷道全波形反演方法,更具体的说是涉及一种基于多参数加权约束与波速剖面空间结构校正的随掘巷道探测弹性波全波形反演方法。The present invention relates to the field of mine exploration and imaging technology, in particular to a method for full waveform inversion of roadway with excavation based on multi-parameter constraints and structural correction, and more specifically to a method based on multi-parameter weighted constraints and wave velocity profile spatial structure correction. Full waveform inversion method of elastic wave detection in roadway while excavating.
背景技术Background technique
作为煤矿生产的两大核心环节之一,掘进智能化发展需求极为迫切,但巷道掘进过程中,煤与瓦斯突出、突水等灾害严重威胁着掘进生产安全和矿工的人身安全。地质保障技术是煤炭智能化生产安全保障的基础,是实现巷道掘进施工前、中、后地质预判、扰动感知与风险评估的基础数据来源,是一切智能掘进关键技术实施的前提保障。As one of the two core links of coal mine production, the demand for intelligent development of tunneling is extremely urgent. However, during the tunneling process, coal and gas outbursts, water inrush and other disasters seriously threaten the safety of tunneling production and the personal safety of miners. Geological assurance technology is the basis for the safety assurance of intelligent coal production, the basic data source to realize geological prediction, disturbance perception and risk assessment before, during and after roadway excavation construction, and the prerequisite guarantee for the implementation of all key technologies of intelligent excavation.
但是,目前矿山地震超前探测成像解释结果多为“画弧”,假异常界面较多,成像精度较低(如图1所示),难以满足巷道智能掘进地质保障需求。However, at present, the imaging interpretation results of advanced seismic detection in mines are mostly "drawing arcs", there are many false anomaly interfaces, and the imaging accuracy is low (as shown in Figure 1), which is difficult to meet the geological guarantee requirements of roadway intelligent excavation.
全波形反演方法可以充分利用地震波的运动学和动力学特征来获取地下模型参数信息,具有复杂构造成像精度高、物性参数反演效果好等优点,在地表地震勘探中取得了很好的应用效果,是未来矿山地震超前探测成像的最优选择,可以满足巷道智能掘进地质保障需求。但地震超前探测模式与地表探测有所不同,其观测系统限制性较强,仅在掘进迎头后方中心线上布设一系列成线性排列的炮点与检波点,对于掘进前方异常体近似于单偏移距探测,并且,受探测空间限制,布设的炮点与检波点数量有限,因此,该探测模式数据量较少且偏移距偏小,会导致全波形反演的多解性增强,物性参数计算误差增大。The full waveform inversion method can make full use of the kinematics and dynamics characteristics of seismic waves to obtain subsurface model parameter information. It has the advantages of high imaging precision of complex structures and good inversion effect of physical parameters, and has been well applied in surface seismic exploration. As a result, it is the best choice for advanced seismic detection and imaging in mines in the future, and can meet the geological security requirements of intelligent tunneling. However, the seismic advanced detection mode is different from the surface detection, and its observation system is more restrictive. Only a series of linearly arranged shot points and receiver points are arranged on the center line behind the excavation head. Range-shift detection, and limited by the detection space, the number of deployed shot points and receiver points is limited. Therefore, this detection mode has a small amount of data and a small offset distance, which will increase the multi-solution of the full waveform inversion, and the physical properties Parameter calculation errors increase.
因此,如何提供一种适用于矿山随掘巷道探测模式下的高精度全波形反演方法是本领域技术人员亟需解决的问题。Therefore, how to provide a high-precision full-waveform inversion method suitable for mine tunnel detection mode is an urgent problem to be solved by those skilled in the art.
发明内容Contents of the invention
有鉴于此,本发明提供了一种基于多参数约束和结构校正的随掘巷道全波形反演方法,结合多参数加权约束和波速剖面空间结构校正,有效解决巷道超前探测中观测系统限制性较强、探测数据量较少且偏移距偏小、波形反演多解性强的问题,提升反演效果,实现掘进前方异常地质构造高精度成像。In view of this, the present invention provides a full-waveform inversion method based on multi-parameter constraints and structure correction, combined with multi-parameter weighted constraints and wave velocity profile spatial structure correction, effectively solves the problem of the limited observation system in roadway advanced detection. Strong, small amount of detection data and small offset, and strong multi-solution of waveform inversion, improve the inversion effect, and realize high-precision imaging of abnormal geological structures ahead of excavation.
为了实现上述目的,本发明采用如下技术方案:In order to achieve the above object, the present invention adopts the following technical solutions:
一种基于多参数约束和结构校正的随掘巷道全波形反演方法,包括以下步骤:A full-waveform inversion method for tunnels with excavation based on multi-parameter constraints and structural correction, including the following steps:
步骤1、输入理论模拟数据或实测常规巷道地震超前数据,构建全波形反演初始模型,再采用多尺度弹性波全波形反演方法对初始模型进行单一尺度反演;
步骤2、对步骤1得到的单一尺度反演结果进行多参数加权约束结构校正,得到初步校正结果;Step 2. Perform multi-parameter weighted constraint structure correction on the single-scale inversion results obtained in
步骤3、基于预先设定的限制条件,对初步校正结果进行一维波速剖面空间结构校正和平滑约束,得到二次校正结果;Step 3. Based on the pre-set restriction conditions, the one-dimensional wave velocity profile spatial structure correction and smoothing constraints are performed on the preliminary correction results to obtain the secondary correction results;
步骤4、将步骤3得到的二次校正结果作为下一尺度的初始模型,继续按照步骤1的方式进行全波形反演;Step 4. Use the secondary correction result obtained in step 3 as the initial model of the next scale, and continue to perform full waveform inversion according to the method of
步骤5、重复执行步骤2~步骤4,直至所有尺度反演完成,得到巷道超前探测弹性波全波形反演结果。Step 5. Steps 2 to 4 are repeated until the inversion of all scales is completed, and the full waveform inversion result of the roadway advanced detection elastic wave is obtained.
进一步的,步骤2中,按照下式进行多参数加权约束结构校正:Further, in step 2, the multi-parameter weighted constraint structure correction is performed according to the following formula:
其中,Δm为单次迭代模型更新量;Δm′为多参数加权结构校正后的模型更新量;m为初始模型;i,j分别表示z,x方向上网格节点的位置;mi,j p为纵波速度、横波速度或密度单一参数初始模型i,j网格节点位置的参数数值;nz为模型竖向网格点数,nx为模型横向网格点数;Vp为纵波速度;Vs为横波速度;Den为密度。Among them, Δm is the model update amount of a single iteration; Δm′ is the model update amount after multi-parameter weighted structure correction; m is the initial model; i, j represent the positions of grid nodes in the z and x directions respectively; m i, j p where P-wave velocity, shear-wave velocity or density is a single parameter initial model i, j grid node position parameter value; nz is the number of vertical grid points in the model, nx is the number of horizontal grid points in the model; V p is the longitudinal wave velocity; V s is the shear wave Speed; Den is density.
进一步的,步骤3中,预先设定的限制条件为:Further, in step 3, the preset restriction conditions are:
根据实际需要设置限制条件一,限制条件一以空间校正下限value值为判定依据,将低于空间校正下限value值的模型更新量进行压制,变为0;Set the
根据实际需要设置限制条件二,限制条件二以结构校正区域范围以及区域之间距离为判定依据,当模型更新量为负值区域两侧均存在一更新量为正值区域、或者当模型更新量为正值区域两侧均存在一更新量为负值区域,当区域范围以及区域之间距离满足限制条件二时,将负值区域两侧存在的正值区域内或者正值区域两侧存在的负值区域内的模型更新量进行压制,变为原来模型更新数值的1/5。Set the second restriction condition according to the actual needs. The second restriction condition is based on the scope of the structure correction area and the distance between the areas. There is an update amount on both sides of the positive value area and the negative value area, when the range of the area and the distance between the areas meet the second constraint condition, the positive value area that exists on both sides of the negative value area or the positive value area that exists on both sides of the positive value area The model update amount in the negative value area is suppressed and becomes 1/5 of the original model update value.
进一步的,步骤3包括:Further, step 3 includes:
步骤301、选取一个纵轴网格坐标yi,沿巷道轴线提取一维波速剖面其中,x为横轴坐标;Step 301, select a grid coordinate y i on the vertical axis, and extract a one-dimensional wave velocity profile along the axis of the roadway Among them, x is the horizontal axis coordinate;
步骤302、计算一维波速剖面对应的模型更新量与斜率 Step 302, calculate the one-dimensional wave velocity profile Corresponding model update amount with slope
步骤303、将低于空间校正下限value值的模型更新量进行压制,变为0,得到校正后的模型更新量 Step 303, update the model value lower than the lower limit value of space correction Suppress and change to 0 to get the corrected model update amount
步骤304、根据校正后的模型更新量按照限制条件二对一维波速剖面上的每个网格点进行逐一判定和校正,得到校正后的模型更新量 Step 304, according to the corrected model update amount According to the second constraint condition, each grid point on the one-dimensional wave velocity profile is judged and corrected one by one, and the corrected model update amount is obtained
步骤305、根据校正后的模型更新量与斜率按照斜率符号变化情况对一维波速剖面上的每个网格点进行逐一判定,得到校正后的模型更新量 Step 305, according to the corrected model update amount with slope According to the change of the slope sign, each grid point on the one-dimensional wave velocity profile is judged one by one, and the corrected model update amount is obtained
步骤306、根据校正后的模型更新量计算校正后的一维波速剖面 Step 306, according to the corrected model update amount Calculate the corrected 1D wave velocity profile
步骤307、取下一个纵轴网格坐标yi+1,重复步骤302~步骤306,直至完成所有网格一维波速剖面的校正,得到一维波速剖面空间结构校正与平滑约束后的二次校正结果。Step 307, take the next vertical axis grid coordinate y i+1 , repeat steps 302 to 306, until the correction of the one-dimensional wave velocity profile of all grids is completed, and the quadratic Calibration result.
进一步的,步骤305包括:Further, step 305 includes:
当斜率符号发生变化的相邻三个点之间存在两个模型更新量为零的点,该两个点前后网格点模型更新量符号发生变化,且该两个点之间没有斜率为0的点,则对斜率符号发生变化的相邻三个点之间区域内的网格点的模型更新量进行校正,变为第一个斜率符号变化点与第三个斜率符号变化点两点模型更新量的平均值,得到校正后的模型更新量 When there are two points where the model update amount is zero between the three adjacent points where the sign of the slope changes, the sign of the model update amount of the grid points before and after the two points changes, and there is no slope between the two points is 0 , then correct the model update amount of the grid points in the area between the three adjacent points where the slope sign changes, and become a two-point model of the first slope sign change point and the third slope sign change point The average value of the update amount to get the corrected model update amount
再根据校正后的模型更新量继续校正,当斜率符号发生变化的不相邻的两个点之间范围内所有网格点模型更新量符号未发生改变,则对两个斜率符号变化点之间区域内的网格点的模型更新量进行校正,变为区域内所有网格点模型更新量的平均值,得到校正后的模型更新量 Then according to the corrected model update amount Continue to correct, when the sign of all grid point model updates in the range between two non-adjacent points where the slope sign changes does not change, then the model of the grid point in the area between the two slope sign change points The update amount is corrected to become the average update amount of all grid point models in the area, and the corrected model update amount is obtained
进一步的,步骤5中的反演结果包括:纵波反演结果、横波反演结果和密度反演结果。Further, the inversion results in step 5 include: longitudinal wave inversion results, shear wave inversion results and density inversion results.
经由上述的技术方案可知,与现有技术相比,本发明公开提供了一种基于多参数约束和结构校正的随掘巷道全波形反演方法,具有以下有益效果:It can be seen from the above technical solutions that, compared with the prior art, the present invention discloses a full waveform inversion method based on multi-parameter constraints and structural correction, which has the following beneficial effects:
(1)本发明采用的是弹性波全波形反演方法,利用的是观测记录中的纵波速度、横波速度及密度参数,可得到比声波全波形反演更为准确的地下介质信息。(1) The present invention adopts the elastic wave full waveform inversion method, which utilizes the longitudinal wave velocity, shear wave velocity and density parameters in the observation records, and can obtain more accurate underground medium information than the acoustic wave full waveform inversion.
(2)本发明通过对单一尺度下的反演结果进行多参数加权约束结构校正和一维波速剖面空间结构校正和平滑约束,进行了两次校正,实现了巷道掘进前方异常地质构造的高精度成像,成像结果可以准确判断地质异常体的位置和产状,并填补了矿山超前探测领域全波形反演技术空白。(2) The present invention performs two corrections by performing multi-parameter weighted constraint structure correction and one-dimensional wave velocity profile space structure correction and smoothing constraints on the inversion results at a single scale, and realizes high-precision abnormal geological structures in front of roadway excavation Imaging, imaging results can accurately determine the location and occurrence of geological anomalies, and fill the gap in full waveform inversion technology in the field of advanced mine detection.
(3)本发明反演策略不仅为下一尺度反演提供了精度更高的初始模型,同时也避免了多次迭代假异常过度加重的问题,假异常被结构校正消除后,约束了全波形反演的方向。(3) The inversion strategy of the present invention not only provides a higher-precision initial model for the next scale inversion, but also avoids the problem of excessive aggravation of false anomalies in multiple iterations. After the false anomalies are eliminated by structural correction, the full waveform is constrained direction of inversion.
(4)本发明基本解决了巷道超前探测中探测数据量较少且偏移距偏小、波形反演多解性强的问题,提升了反演效果,全波形反演精度提升了20%左右。(4) The present invention basically solves the problems of small amount of detection data, relatively small offset distance, and strong multi-solution of waveform inversion in the advance detection of roadway, improves the inversion effect, and improves the accuracy of full waveform inversion by about 20%.
(5)本发明在提高反演精度的同时,不会造成全波形反演计算量的增加。(5) While the present invention improves the inversion precision, it does not increase the calculation amount of the full waveform inversion.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术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,还可以根据提供的附图获得其他的附图。In order to more clearly illustrate the technical solutions in the embodiments of the present invention or the prior art, the following will briefly introduce the drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only It is an embodiment of the present invention, and those skilled in the art can also obtain other drawings according to the provided drawings without creative work.
图1为本发明提供的常规矿山地震超前探测成像结果;Fig. 1 is conventional mine seismic advance detection imaging result provided by the present invention;
图2为本发明提供的随掘巷道探测弹性波全波形反演方法的流程图;Fig. 2 is the flow chart of the full waveform inversion method for elastic wave detection with digging roadway provided by the present invention;
图3为本发明提供的一维波速剖面模型更新量和斜率变化判定示意图;Fig. 3 is a schematic diagram of the one-dimensional wave velocity profile model update amount and slope change determination provided by the present invention;
图4为本发明提供的初始模型的结构示意图;Fig. 4 is the structural representation of the initial model provided by the present invention;
图5为本发明提供的复杂超前地质理论模型;Fig. 5 is the complex advanced geological theoretical model provided by the present invention;
图6为本发明提供的采用本发明方法得到的反演结果;Fig. 6 adopts the inversion result obtained by the method of the present invention provided by the present invention;
图7为本发明提供的采用常规时间域多尺度弹性波全波形反演结果。Fig. 7 is the full waveform inversion result of multi-scale elastic wave in conventional time domain provided by the present invention.
具体实施方式detailed description
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The following will clearly and completely describe the technical solutions in the embodiments of the present invention with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only some, not all, embodiments of the present invention. Based on the embodiments of the present invention, all other embodiments obtained by persons of ordinary skill in the art without making creative efforts belong to the protection scope of the present invention.
如图2所示,本发明实施例公开了一种基于多参数约束和结构校正的随掘巷道全波形反演方法,包括以下步骤:As shown in Figure 2, the embodiment of the present invention discloses a method for full waveform inversion of tunnels with excavation based on multi-parameter constraints and structural correction, including the following steps:
步骤1、输入理论模拟数据或实测常规巷道地震超前探测数据,构建全波形反演初始模型(如图4所示),再采用多尺度弹性波全波形反演方法对初始模型进行单一尺度反演;反演包括三组参数,即纵波速度模型、横波速度模型和密度模型。
步骤2、对步骤1得到的单一尺度反演结果进行多参数加权约束结构校正,得到初步校正结果;Step 2. Perform multi-parameter weighted constraint structure correction on the single-scale inversion results obtained in
步骤3、基于预先设定的限制条件,对初步校正结果进行一维波速剖面空间结构校正和平滑约束,得到二次校正结果;Step 3. Based on the pre-set restriction conditions, the one-dimensional wave velocity profile spatial structure correction and smoothing constraints are performed on the preliminary correction results to obtain the secondary correction results;
步骤4、将步骤3得到的二次校正结果作为下一尺度的初始模型,继续按照步骤1的方式进行全波形反演;Step 4. Use the secondary correction result obtained in step 3 as the initial model of the next scale, and continue to perform full waveform inversion according to the method of
步骤5、重复执行步骤2~步骤4,直至所有尺度反演完成,得到巷道超前探测弹性波全波形反演结果。反演结果包括:纵波反演结果、横波反演结果和密度反演结果。Step 5. Steps 2 to 4 are repeated until the inversion of all scales is completed, and the full waveform inversion result of the roadway advanced detection elastic wave is obtained. Inversion results include: longitudinal wave inversion results, shear wave inversion results and density inversion results.
本发明中,震源分布在煤层中部,多个水平分量和垂直分量检波器与震源成线性排列同样分布在煤层中部接收地震信号,按照均匀层状煤系地层介质情况设置反演初始模型。In the present invention, the seismic source is distributed in the middle of the coal seam, multiple horizontal component and vertical component geophones are arranged linearly with the seismic source, and are also distributed in the middle of the coal seam to receive seismic signals, and the inversion initial model is set according to the medium condition of the uniform layered coal measure strata.
由于巷道超前探测特殊的观测系统条件,常规时间域多尺度弹性波全波形反演方法多解性问题增强,很难从数据角度进一步改善反演精度。本发明从模型结构出发,发现了巷道超前探测全波形反演结果中地质异常体暗含的特殊结构特征,并根据结构特征构建校正项,约束全波形反演的方向,得到了满足预设结构特征的反演结果,提高了反演效果。Due to the special observation system conditions of the advance detection of the roadway, the multi-solution problem of the conventional time-domain multi-scale elastic wave full waveform inversion method is enhanced, and it is difficult to further improve the inversion accuracy from the perspective of data. Starting from the model structure, the present invention discovers the special structural features implied in the geological anomaly in the results of full-waveform inversion in advance detection of tunnels, and constructs correction items according to the structural features, constrains the direction of full-waveform inversion, and obtains a structure that meets the preset structural features The inversion result improves the inversion effect.
发现的巷道超前探测弹性波全波形反演结果中地质异常体暗含的特殊结构特征为:The special structural features implied by the geological anomalies in the full waveform inversion results of the advanced detection of the tunnel discovered in the elastic wave are as follows:
(1)对于异常地质构造的恢复,密度参数的反演效果最好,而纵横波参数中假异常与扰动干扰压制效果更好;(1) For the recovery of abnormal geological structures, the inversion effect of density parameters is the best, while the effect of suppressing false anomalies and disturbance interference in P- and S-wave parameters is better;
(2)纵、横波以及密度虽然在物性参数上具有较大的差异,但它们具有相同的地质结构特征;(2) Although the longitudinal, shear and density have large differences in physical parameters, they have the same geological structure characteristics;
(3)异常地质构造两侧边界附近均存在与自身属性特征相反的假异常区域;(3) There are false anomalous areas near the boundaries on both sides of the abnormal geological structure that are opposite to their own attributes;
(4)垂直方向网格点横向速度-深度曲线中存在“W”或“M”型异常特征,且该“W”或“M”区域中间范围模型更新符号与两侧范围模型更新符号相反;(4) There is a "W" or "M" type anomaly in the lateral velocity-depth curve of the grid points in the vertical direction, and the model update sign of the middle range of the "W" or "M" area is opposite to that of the model update sign of the range on both sides;
(5)体积较大构造内部垂直方向网格点横向速度-深度曲线存在“波浪线”特征,且该“波浪线”涉及范围内模型更新符号一致。(5) The lateral velocity-depth curves of grid points in the vertical direction in the larger structure have the characteristics of "wavy lines", and the model update symbols within the range involved by the "wavy lines" are consistent.
基于发现的上述特征,本发明引入了多参数加权约束和一维波速剖面空间结构校正对反演结果进行多次校正,能够有效解决巷道超前探测中探测数据量较少且偏移距偏小、波形反演多解性强的问题,提升反演效果,实现掘进前方异常地质构造高精度成像。Based on the above-mentioned features found, the present invention introduces multi-parameter weighting constraints and one-dimensional wave velocity profile spatial structure correction to correct the inversion results multiple times, which can effectively solve the problem of less detection data and small offsets in roadway advanced detection. Waveform inversion is a multi-solution problem, which improves the inversion effect and realizes high-precision imaging of abnormal geological structures ahead of excavation.
下面,对步骤2和步骤3的校正方式进行详细说明。Next, the correction methods of steps 2 and 3 will be described in detail.
在一个具体实施例中,步骤2中,按照下式进行多参数加权约束结构校正:In a specific embodiment, in step 2, the multi-parameter weighted constraint structure correction is performed according to the following formula:
其中,Δm为单次迭代模型更新量(即本次迭代与上一次迭代模型之间的变化量);Δm′为多参数加权结构校正后的模型更新量;m为初始模型;i,j分别表示z,x方向上网格节点的位置;mi,j p为纵波速度、横波速度或密度单一参数初始模型i,j网格节点位置的参数数值;nz为模型竖向网格点数,nx为模型横向网格点数;Vp为纵波速度;Vs为横波速度;Den为密度Among them, Δm is the update amount of the single iteration model (that is, the change amount between the current iteration model and the last iteration model); Δm′ is the model update amount after multi-parameter weighted structure correction; m is the initial model; i, j respectively Indicates the position of the grid node in the z, x direction; m i, j p is the parameter value of the initial model i, j grid node position of the single parameter of P-wave velocity, shear wave velocity or density; nz is the number of vertical grid points of the model, and nx is The number of transverse grid points in the model; V p is the velocity of P-wave; V s is the velocity of S-wave; Den is the density
在一个具体实施例中,步骤3中,预先设定的限制条件为:In a specific embodiment, in step 3, the preset restriction conditions are:
限制条件一,限制条件一以空间校正下限value值为判定依据,将低于空间校正下限value值的模型更新量进行压制,变为0;实际应用时,根据数据处理效果进行自主设定,一般通过正式反演前的实验确定。例如,将该值设定为小于初始模型参数的5%。
限制条件二,限制条件二以结构校正区域范围以及区域之间距离为判定依据,当模型更新量为负值区域两侧均存在一更新量为正值区域、或者当模型更新量为正值区域两侧均存在一更新量为负值区域,当区域范围以及区域之间距离满足限制条件二时,将负值区域两侧存在的正值区域内或者正值区域两侧存在的负值区域内的模型更新量进行压制,变为原来模型更新数值的1/5。Restriction condition 2. Restriction condition 2 is based on the scope of the structural correction area and the distance between areas. When the model update amount is negative, there is a positive update area on both sides of the area, or when the model update amount is a positive area. There is an area with a negative update value on both sides. When the range of the area and the distance between the areas meet the second constraint condition, the positive area on both sides of the negative area or the negative area on both sides of the positive area The model update amount of the model is suppressed and becomes 1/5 of the original model update value.
其中,“区域之间距离”是指:当“负值区域两侧均存在一更新量为正值区域”时,单侧“正值区域”距离中间“负值区域”的距离;或者是:“更新量为正值区域两侧均存在一更新量为负值区域”时,单侧“负值区域”距离中间“正值区域”的距离。Among them, the "distance between areas" refers to: when "there is an area with a positive update amount on both sides of the negative area", the distance between the "positive area" on one side and the "negative area" in the middle; or: When "there is an area with negative update amount on both sides of the area with positive update amount", the distance from the "negative area" on one side to the "positive area" in the middle.
“区域范围”是指:“负值区域两侧均存在一更新量为正值区域”时,单侧“正值区域”的范围大小,或者是:“更新量为正值区域两侧均存在一更新量为负值区域”时,单侧“负值区域”的范围大小。"Area range" refers to: when "there is an area with a positive update amount on both sides of the negative value area", the range size of the "positive value area" on one side, or: "the update amount is positive on both sides of the area." When the update amount is a negative value area", the range size of the "negative value area" on one side.
区域范围以及区域之间距离一般通过正式反演前的实验确定。例如:“区域范围:“负值区域两侧均存在一更新量为正值区域”时,单侧“正值区域”的范围大小不能小于中间“正值区域”范围的1/2。The range of regions and the distance between regions are generally determined through experiments before formal inversion. For example: "Area range: "There is an area with a positive update amount on both sides of the negative area", the size of the "positive area" on one side cannot be less than 1/2 of the range of the middle "positive area".
“区域之间距离”:当“负值区域两侧均存在一更新量为正值区域”时,单侧“正值区域”距离中间“负值区域”的距离不能大于中间“负值区域”的大小。"Distance between areas": When "there is a positive area with an update amount on both sides of the negative area", the distance between the "positive area" on one side and the "negative area" in the middle cannot be greater than the "negative area" in the middle the size of.
具体的,步骤3包括:Specifically, step 3 includes:
步骤301、选取一个纵轴网格坐标yi,沿巷道轴线提取一维波速剖面其中,x为横轴坐标;Step 301, select a grid coordinate y i on the vertical axis, and extract a one-dimensional wave velocity profile along the axis of the roadway Among them, x is the horizontal axis coordinate;
步骤302、计算一维波速剖面对应的模型更新量与斜率 Step 302, calculate the one-dimensional wave velocity profile Corresponding model update amount with slope
其中,模型更新量: 为第e次迭代时的一维波速剖面,为第e-1次迭代时的一维波速剖面。Among them, the amount of model update: is the one-dimensional wave velocity profile at the e-th iteration, is the one-dimensional wave velocity profile at the e-1th iteration.
斜率: 为一维波速剖面横向第j个网格点的数值,为一维波速剖面横向第j-1个网格点的数值,dx为模型横向网格间距。Slope: is a one-dimensional wave velocity profile The value of the jth grid point in the horizontal direction, is a one-dimensional wave velocity profile The value of the j-1th grid point in the horizontal direction, dx is the horizontal grid spacing of the model.
步骤303、将低于空间校正下限value值的模型更新量进行压制,变为0,得到校正后的模型更新量 Step 303, update the model value lower than the lower limit value of space correction Suppress and change to 0 to get the corrected model update amount
步骤304、根据校正后的模型更新量按照限制条件二对一维波速剖面上的每个网格点进行逐一判定和校正,得到校正后的模型更新量 Step 304, according to the corrected model update amount According to the second constraint condition, each grid point on the one-dimensional wave velocity profile is judged and corrected one by one, and the corrected model update amount is obtained
步骤305、根据校正后的模型更新量与斜率按照斜率符号变化情况对一维波速剖面上的每个网格点进行逐一判定,得到校正后的模型更新量 Step 305, according to the corrected model update amount with slope According to the change of the slope sign, each grid point on the one-dimensional wave velocity profile is judged one by one, and the corrected model update amount is obtained
当斜率符号发生变化的相邻三个点之间存在两个模型更新量为零的点(如图3所示),该两个点前后网格点模型更新量符号发生变化,且该两个点之间没有斜率为0的点,则对斜率符号发生变化的相邻三个点之间区域内的网格点的模型更新量进行校正,变为第一个斜率符号变化点与第三个斜率符号变化点两点模型更新量的平均值,得到校正后的模型更新量 When there are two points where the model update amount is zero between the three adjacent points where the sign of the slope changes (as shown in Figure 3), the sign of the model update amount of the grid points before and after the two points changes, and the two points If there is no point with a slope of 0 between the points, the model update amount of the grid points in the area between the three adjacent points where the slope sign changes is corrected, so that the first slope sign change point and the third The average value of the two-point model update amount at the point where the slope sign changes, and the corrected model update amount is obtained
再根据校正后的模型更新量继续校正,当斜率符号发生变化的不相邻的两个点之间范围内所有网格点模型更新量符号未发生改变,则对两个斜率符号变化点之间区域内的网格点的模型更新量进行校正,变为区域内所有网格点模型更新量的平均值,得到校正后的模型更新量 Then according to the corrected model update amount Continue to correct, when the sign of all grid point model updates in the range between two non-adjacent points where the slope sign changes does not change, then the model of the grid point in the area between the two slope sign change points The update amount is corrected to become the average update amount of all grid point models in the area, and the corrected model update amount is obtained
为控制校正范围,需按照设定的区域范围限值进行搜索判定。也就是说控制最大校正范围,比如设置为10个网格点,“按照设定的区域范围限值进行搜索判定”就是按照10个网格点为一个轮次依次搜索。In order to control the correction range, it is necessary to search and judge according to the set area limit. That is to say, the maximum correction range is controlled, for example, if it is set to 10 grid points, "searching and judging according to the set area limit value" means to search sequentially according to 10 grid points as a round.
步骤306、根据校正后的模型更新量计算校正后的一维波速剖面 Step 306, according to the corrected model update amount Calculate the corrected 1D wave velocity profile
步骤307、取下一个纵轴网格坐标yi+1,重复步骤302~步骤306,直至完成所有网格一维波速剖面的校正,得到一维波速剖面空间结构校正与平滑约束后的二次校正结果。Step 307, take the next vertical axis grid coordinate y i+1 , repeat steps 302 to 306, until the correction of the one-dimensional wave velocity profile of all grids is completed, and the quadratic Calibration result.
为了进一步验证本发明基于多参数加权约束与波速剖面空间结构校正的随掘巷道探测弹性波全波形反演方法的有效性与高效性,将本发明提出的方案用于复杂超前地质理论模型中(图5),得到反演结果如图6所示。In order to further verify the effectiveness and high efficiency of the present invention based on the multi-parameter weighting constraints and wave velocity profile spatial structure correction method for elastic wave full waveform inversion of roadway detection while digging, the scheme proposed by the present invention is used in the complex advanced geological theoretical model ( Figure 5), the obtained inversion results are shown in Figure 6.
将以常规时间域多尺度弹性波全波形反演结果(如图7所示)为对比研究对象,对比图6与图7可以看出,本发明得到的全波形反演结果更接近真实模型。反演结果中陷落柱与断层破碎带构造两侧边界清晰且构造内部参数恢复较好,而且小尺寸断层岩性分界面也有恢复和显现;最明显的是结果中的假异常与扰动干扰基本压制完全,反演精度得到了大幅度的提高。对比反演结果与真实模型的数值差异程度,全波形反演精度提升了20%左右。The conventional time-domain multi-scale full-waveform inversion results of elastic waves (as shown in Figure 7) will be used as the comparative research object. Comparing Figures 6 and 7, it can be seen that the full-waveform inversion results obtained by the present invention are closer to the real model. In the inversion results, the boundaries on both sides of the subsidence column and the fault fracture zone are clear, and the internal parameters of the structure are well restored, and the lithological interfaces of small-scale faults are also restored and displayed; the most obvious is that the false anomalies and disturbances in the results are basically suppressed Completely, the inversion accuracy has been greatly improved. Comparing the numerical difference between the inversion result and the real model, the accuracy of the full waveform inversion is improved by about 20%.
本说明书中各个实施例采用递进的方式描述,每个实施例重点说明的都是与其他实施例的不同之处,各个实施例之间相同相似部分互相参见即可。对于实施例公开的装置而言,由于其与实施例公开的方法相对应,所以描述的比较简单,相关之处参见方法部分说明即可。Each embodiment in this specification is described in a progressive manner, each embodiment focuses on the difference from other embodiments, and the same and similar parts of each embodiment can be referred to each other. As for the device disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and for the related information, please refer to the description of the method part.
对所公开的实施例的上述说明,使本领域专业技术人员能够实现或使用本发明。对这些实施例的多种修改对本领域的专业技术人员来说将是显而易见的,本文中所定义的一般原理可以在不脱离本发明的精神或范围的情况下,在其它实施例中实现。因此,本发明将不会被限制于本文所示的这些实施例,而是要符合与本文所公开的原理和新颖特点相一致的最宽的范围。The above description of the disclosed embodiments is provided to enable any person skilled in the art to make or use the invention. Various modifications to these embodiments will be readily apparent to those skilled in the art, and the general principles defined herein may be implemented in other embodiments without departing from the spirit or scope of the invention. Therefore, the present invention will not be limited to the embodiments shown herein, but is to be accorded the widest scope consistent with the principles and novel features disclosed herein.
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