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CN115201928A - A time-shift resistivity anomaly extraction method - Google Patents

A time-shift resistivity anomaly extraction method Download PDF

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CN115201928A
CN115201928A CN202210907438.2A CN202210907438A CN115201928A CN 115201928 A CN115201928 A CN 115201928A CN 202210907438 A CN202210907438 A CN 202210907438A CN 115201928 A CN115201928 A CN 115201928A
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CN115201928B (en
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吴小平
曹煜
岳明鑫
陈兴海
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University of Science and Technology of China USTC
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Abstract

The invention discloses a time-shifting resistivity anomaly extraction method. The calculation method is characterized in that the resistivity break variable can be quickly obtained by analyzing the measured resistivity data of the previous and subsequent time periods and quickly calculating the difference between the resistivity theoretical data of a certain time period and the resistivity data of the corresponding time period to perform comparative analysis.

Description

一种时移电阻率异常提取方法A time-shift resistivity anomaly extraction method

技术领域technical field

本发明属于地球物理勘探领域,具体涉及一种时移电阻率异常提取方法,具体的说是采用一种特别方法快速计算某个时间段的电阻率理论值,再将理论值与实际观测值做比较分析,从而快速准确获得电阻率突变位置和突变量。The invention belongs to the field of geophysical exploration, and in particular relates to a method for extracting time-shifted resistivity anomalies. Specifically, a special method is used to quickly calculate the theoretical resistivity value of a certain time period, and then the theoretical value and the actual observed value are calculated. Comparative analysis, so as to quickly and accurately obtain the resistivity mutation position and mutation amount.

背景技术Background technique

时移电阻率法目前在堤坝渗漏监测工作中得到广泛应用,国内很多单位针对堤坝开展了大量时移电法监测技术研究工作,黄河水利委员会黄河水利科学研究院张清明等开展过基于时移3D高密度电法探测堤坝涵管接触渗漏工作,长江勘测规划设计研究有限公司李文忠、孙为民等开展过堤防时移探测工作研究,徐涛等也开展堤防膨胀土时移电法检测。现阶段时移电阻率数据处理方法技术中大都采用多次反演方式计算多个时间片段的电阻率模型结果,再提取模型电阻率变化率的处理方法,也有提出将数据集和模型参数放入时空域中进行离散,将时间参数作为其中一个变量以进行全四维反演;或者将多个不同时间点的数据集和模型参数同时反演迭代,目前这些时移电法数据反演处理方法大多处于研究阶段,计算效率相对较低,还能均未能在堤坝时移电法监测数据处理中得到推广应用。The time-shift resistivity method is currently widely used in dam leakage monitoring. Many domestic units have carried out a lot of research on time-shift electrical monitoring technology for dams. The 3D high-density electrical method is used to detect the contact leakage of dams and culverts. Li Wenzhong and Sun Weimin of Changjiang Survey, Planning, Design and Research Co., Ltd. have carried out research on the time-shift detection of dikes. At present, most of the time-shifted resistivity data processing methods use multiple inversion methods to calculate the resistivity model results of multiple time segments, and then extract the model resistivity change rate processing method. Discrete in the space-time domain, and use the time parameter as one of the variables for full 4D inversion; or invert and iterate the data sets and model parameters at multiple different time points at the same time. At present, most of these time-shift electrical data inversion processing methods are used. In the research stage, the calculation efficiency is relatively low, and it has not been popularized and applied in the monitoring data processing of the dyke time-shift method.

时移电阻率数据正反演工作也是基于常规2D/3D电阻率正反演算法,核心是比较分析不同时刻观测数据差异变化情况,正演计算出相应地下电性结构模型电性参数的差异情况,通过计算的模型展示出地下介质随时间变化而发生的真实变化。由于时移电阻率正反演工作耗时比较大,消耗算力较多,而且不能及时分析堤坝内部的电性异常,就不能及时支持汛期指挥工作,因此提出时移电阻率异常提取快速计算方法。The time-lapse resistivity data forward and inversion work is also based on the conventional 2D/3D resistivity forward and inversion algorithm. The core is to compare and analyze the differences and changes of the observed data at different times, and forward the calculation to calculate the differences in the electrical parameters of the corresponding underground electrical structure models. , the computational model shows the real changes in the subsurface medium over time. Because the time-lapse resistivity forward and inversion work is time-consuming and consumes a lot of computing power, and the electrical anomalies inside the dam cannot be analyzed in time, it cannot support the flood season command work in time. Therefore, a fast calculation method for the extraction of time-shift resistivity anomalies is proposed. .

发明内容SUMMARY OF THE INVENTION

为了解决在汛期河堤渗漏监测电阻率突出变化快速定位问题,本发明提供了一种时移电阻率异常提取方法。该方法主要是基于相邻时间片段的电阻率变化率是相对稳定系数来计算理论电阻率值,通过计算的变化量来及时显示某一时间片段的电阻率异常,同时为未来的快速时序正反演工作提供背景模型。该方法原理简单可靠,计算成果识别简单,易于推广。In order to solve the problem of rapid localization of prominent changes in resistivity in river embankment leakage monitoring during flood season, the present invention provides a time-shifted resistivity anomaly extraction method. This method mainly calculates the theoretical resistivity value based on the relative stability coefficient of the resistivity change rate of adjacent time segments, and displays the resistivity anomaly of a certain time segment in time through the calculated change amount, and at the same time provides positive and negative results for the future fast time series. Acting work provides background models. The principle of the method is simple and reliable, the calculation results are easy to identify, and it is easy to popularize.

本发明采用的技术方案如下:The technical scheme adopted in the present invention is as follows:

一种时移电阻率异常提取方法,该方法用于快速提取电阻率监测工作中的电阻率突变量及突变位置,其特征在于,所述方法包括以下步骤:A method for extracting abnormal time-shifted resistivity, which is used for rapidly extracting resistivity mutation amount and mutation position in resistivity monitoring work, characterized in that the method comprises the following steps:

步骤1):获得多个时间段的观测电阻率数据;Step 1): obtain the observed resistivity data of multiple time periods;

步骤2):根据所述观测电阻率数据计算不同时间段的理论电阻率值;Step 2): Calculate the theoretical resistivity values of different time periods according to the observed resistivity data;

步骤3):根据所述理论电阻率值与观测电阻率数据计算电阻率变化量,根据经验设计的阈值圈定电阻率突变量,同时定位该电阻率突变的空间位置。Step 3): Calculate the resistivity change amount according to the theoretical resistivity value and the observed resistivity data, delineate the resistivity mutation amount according to the threshold value designed by experience, and locate the spatial position of the resistivity mutation at the same time.

进一步的,步骤2)中,根据公式(1)-(3)计算所述理论电阻率值;其中,所述公式(1)-(3)表示如下:Further, in step 2), the theoretical resistivity value is calculated according to formulas (1)-(3); wherein, the formulas (1)-(3) are expressed as follows:

Figure BDA0003772969960000021
Figure BDA0003772969960000021

Figure BDA0003772969960000022
Figure BDA0003772969960000022

Figure BDA0003772969960000023
Figure BDA0003772969960000023

其中,

Figure BDA0003772969960000024
为T时间段观测电阻率数据,k为常系数,
Figure BDA0003772969960000025
为T时间段理论电阻率值,x、y、z为与电阻率对应的空间位置参数,T-1,T或T+1为时间段信息。in,
Figure BDA0003772969960000024
is the observed resistivity data in the T time period, k is a constant coefficient,
Figure BDA0003772969960000025
is the theoretical resistivity value in the T time period, x, y, and z are the spatial position parameters corresponding to the resistivity, and T-1, T or T+1 is the time period information.

进一步的,步骤3)中,根据公式(4)计算所述电阻率变化量;其中,所述公式(4)表示如下:Further, in step 3), the resistivity variation is calculated according to formula (4); wherein, the formula (4) is expressed as follows:

Figure BDA0003772969960000026
Figure BDA0003772969960000026

其中,

Figure BDA0003772969960000027
为T时间段异常电阻率偏离度。in,
Figure BDA0003772969960000027
is the deviation of abnormal resistivity in the T time period.

本发明能够达到以下有益效果:The present invention can achieve the following beneficial effects:

本发明通过前后时间段的实测电阻率数据分析,通过快速计算出某一时间段电阻率理论数据与实测相应时间段电阻率数据的差异做比较分析,可以快速获得电阻率突变值,由于电阻率数据中同步带有空间位置信息,因此获得电阻率突变值同时可以得出相应的突变位置,为时移电阻率预警工作提供参考依据,该计算方法简单快速,成果准确可靠,简单识别,易于推广。The invention analyzes the measured resistivity data before and after the time period, and quickly calculates the difference between the resistivity theoretical data of a certain time period and the actual measured resistivity data of the corresponding time period, and can quickly obtain the resistivity mutation value. The data is synchronized with spatial position information, so the corresponding mutation position can be obtained at the same time when the resistivity mutation value is obtained, which provides a reference for the time-shifted resistivity early warning work. .

附图说明Description of drawings

图1为堤坝时移电阻率观测系统布置图。Figure 1 shows the layout of the time-shift resistivity observation system for the dam.

图2为所计算电阻率突变值及位置分布图,其中,选择计算变化量5%以上为电阻率突变区。Fig. 2 is the calculated resistivity mutation value and position distribution diagram, wherein, the calculated change amount of more than 5% is selected as the resistivity mutation region.

具体实施方式Detailed ways

下面结合附图对本发明的具体实施方式做进一步的解释说明,注意,以下叙述不是对本发明的限制,而是对本发明精神的阐述以及原理的解释。The specific embodiments of the present invention will be further explained below in conjunction with the accompanying drawings. Note that the following description is not a limitation of the present invention, but an explanation of the spirit and principle of the present invention.

本发明涉及一种时移电阻率异常提取方法,所述方法用于在时移电阻率监测工作中快速提取电阻率突变量和突变位置,且包括以下步骤:The present invention relates to a method for extracting abnormal time-shift resistivity, which is used for rapidly extracting resistivity mutation amount and mutation position in time-shift resistivity monitoring work, and comprises the following steps:

步骤1):获得多个时间段的观测电阻率数据;多个不同时间段的电阻率信息如表1所示;Step 1): obtain the observed resistivity data of multiple time periods; the resistivity information of multiple different time periods is shown in Table 1;

表1Table 1

Figure BDA0003772969960000031
Figure BDA0003772969960000031

步骤2):根据所述观测电阻率数据计算后期不同时间段的理论电阻率值;所计算的后期不同时间段的理论电阻率值参见表2;Step 2): calculate the theoretical resistivity values of different time periods in the later stage according to the observed resistivity data; see Table 2 for the calculated theoretical resistivity values of different time periods in the later stage;

表2Table 2

Figure BDA0003772969960000032
Figure BDA0003772969960000032

步骤3):根据所述理论电阻率值与实际电阻值计算电阻率变化量,以快速获得变化量大小及相对应的电阻率突变空间位置。Step 3): Calculate the resistivity variation according to the theoretical resistivity value and the actual resistance value, so as to quickly obtain the magnitude of the variation and the corresponding spatial position of the resistivity mutation.

进一步的,步骤2)中,根据公式(1)-(3)计算所述理论电阻率值;其中,所述公式(1)-(3)表示如下:Further, in step 2), the theoretical resistivity value is calculated according to formulas (1)-(3); wherein, the formulas (1)-(3) are expressed as follows:

Figure BDA0003772969960000033
Figure BDA0003772969960000033

Figure BDA0003772969960000034
Figure BDA0003772969960000034

Figure BDA0003772969960000035
Figure BDA0003772969960000035

其中,

Figure BDA0003772969960000036
为T时间段观测电阻率数据,k为常系数,
Figure BDA0003772969960000037
为T时间段理论电阻率值,x、y、z为相对应的电阻率空间位置参数,T-1,T,T+1为时间段信息。in,
Figure BDA0003772969960000036
is the observed resistivity data in the T time period, k is a constant coefficient,
Figure BDA0003772969960000037
is the theoretical resistivity value in the T time period, x, y, and z are the corresponding resistivity spatial position parameters, and T-1, T, T+1 are the time period information.

进一步的,步骤3)中,根据公式(4)计算所述电阻率变化量,如表3所示;其中,所述公式(4)表示如下:Further, in step 3), the resistivity variation is calculated according to formula (4), as shown in Table 3; wherein, the formula (4) is expressed as follows:

Figure BDA0003772969960000041
Figure BDA0003772969960000041

其中,

Figure BDA0003772969960000042
为T时间段异常电阻率偏离度。in,
Figure BDA0003772969960000042
is the deviation of abnormal resistivity in the T time period.

表3table 3

Figure BDA0003772969960000043
Figure BDA0003772969960000043

进一步的,步骤3)中,还包括将电阻率变化量较大的值和空间位置标注出来,如表4所示,方便现场人员定位排查。Further, in step 3), it also includes marking the value and the spatial position of the resistivity change with a large amount, as shown in Table 4, which is convenient for on-site personnel to locate and check.

表4Table 4

Figure BDA0003772969960000044
Figure BDA0003772969960000044

实施例1:Example 1:

在某水库大坝布置开展堤坝时移电阻率观测工作,附图1为观测系统布置示意图,如图1所示,在某处堤坝的背水坡上布置一条电法监测测线,可以实时监测背水坡下方的电阻率变化情况,从而可以通过电阻率变化情况判断堤坝渗水规律,开展时移电阻率监测工作;The time-lapse resistivity observation of a dam is carried out in a certain reservoir dam. Figure 1 is a schematic diagram of the layout of the observation system. As shown in Figure 1, an electrical monitoring line is arranged on the backwater slope of a certain dam, which can monitor the backwater in real time. The resistivity change under the slope can be judged by the resistivity change, and the seepage law of the dam can be judged, and the time-lapse resistivity monitoring work can be carried out;

该实施例中,所述时移电阻率异常提取方法包括以下步骤:In this embodiment, the method for extracting abnormal time-shift resistivity includes the following steps:

(1)获得现场实测不同时间段的电阻率信息,不同时间段的电阻率信息如表5所示;(1) Obtain the resistivity information of different time periods measured on site, and the resistivity information of different time periods is shown in Table 5;

表5table 5

Figure BDA0003772969960000051
Figure BDA0003772969960000051

(2)根据不同时间段的电阻率信息计算相应时间段的电阻率数据,具体数据见下表6;(2) Calculate the resistivity data of the corresponding time period according to the resistivity information of different time periods, the specific data are shown in Table 6 below;

表6Table 6

Figure BDA0003772969960000052
Figure BDA0003772969960000052

(3)利用公式4计算比较理论计算时间段电阻率与实测电阻率之间的差异,并将电阻率变化量较大的值和空间位置标注出来,具体数据见下表7,这里将电阻率变化量5%作为电阻率突变阈值,超过5%的电阻率变化量的电阻率值视为变化量较大的值;(3) Use formula 4 to calculate and compare the difference between the resistivity in the theoretical calculation period and the measured resistivity, and mark the value and spatial position of the resistivity change with a large amount. The specific data are shown in Table 7 below. Here, the resistivity A change of 5% is used as the threshold value of the resistivity mutation, and the resistivity value of the resistivity change exceeding 5% is regarded as a value with a large change;

表7Table 7

Figure BDA0003772969960000053
Figure BDA0003772969960000053

如图2所示,其左侧图为监测的时移电阻率数据,右侧图为提取的电阻率变化量数据,根据现场经验设计变化量5%为阈值,则5%以上为电阻率突变量,5%以下为正常电阻率值,通过比较发现电阻率变化量范围均在5%,表明该区域堤坝内部电阻率稳定,坝体稳定,无异常变化情况,无渗漏隐患。As shown in Figure 2, the left picture is the monitored time-shift resistivity data, and the right picture is the extracted resistivity change data. According to the field experience, the design change is 5% as the threshold, and more than 5% is the resistivity mutation The value of the normal resistivity is below 5%. Through comparison, it is found that the range of the resistivity change is all within 5%, indicating that the internal resistivity of the dam in this area is stable, the dam body is stable, there is no abnormal change, and there is no hidden leakage.

本发明未详细阐述的部分属于本领域公知技术。以上所述的实施例仅是对本发明的优选实施方式进行描述,优选实施例并没有详尽叙述所有的细节,也不限制该发明仅为所述的具体实施方式。在不脱离本发明设计精神的前提下,本领域普通技术人员对本发明的技术方案做出的各种变形和改进,均应落入本发明权利要求书确定的保护范围内。The parts of the present invention that are not described in detail belong to the well-known techniques in the art. The above-mentioned embodiments are only to describe the preferred embodiments of the present invention, and the preferred embodiments do not describe all the details in detail, nor do they limit the present invention to only the described specific embodiments. On the premise of not departing from the design spirit of the present invention, various modifications and improvements made by those of ordinary skill in the art to the technical solutions of the present invention shall fall within the protection scope determined by the claims of the present invention.

Claims (3)

1.一种时移电阻率异常提取方法,该方法用于快速提取电阻率监测工作中的电阻率突变量及突变位置,其特征在于,所述方法包括以下步骤:1. a time-shifted resistivity abnormal extraction method, the method is used for rapidly extracting resistivity mutation and mutation position in resistivity monitoring work, it is characterized in that, described method comprises the following steps: 步骤1):获得多个时间段的观测电阻率数据;Step 1): obtain the observed resistivity data of multiple time periods; 步骤2):根据所述观测电阻率数据计算不同时间段的理论电阻率值;Step 2): Calculate the theoretical resistivity values of different time periods according to the observed resistivity data; 步骤3):根据所述理论电阻率值与观测电阻率数据计算电阻率变化量,根据经验设计的阈值圈定电阻率突变量,同时定位该电阻率突变的空间位置。Step 3): Calculate the resistivity change amount according to the theoretical resistivity value and the observed resistivity data, delineate the resistivity mutation amount according to the threshold value designed by experience, and locate the spatial position of the resistivity mutation at the same time. 2.根据权利要求1所述的一种时移电阻率异常提取方法,其特征在于,2. a kind of time-shifted resistivity abnormal extraction method according to claim 1, is characterized in that, 步骤2)中,根据公式(1)-(3)计算所述理论电阻率值;其中,所述公式(1)-(3)表示如下:In step 2), the theoretical resistivity value is calculated according to formulas (1)-(3); wherein, the formulas (1)-(3) are expressed as follows:
Figure FDA0003772969950000011
Figure FDA0003772969950000011
Figure FDA0003772969950000012
Figure FDA0003772969950000012
Figure FDA0003772969950000013
Figure FDA0003772969950000013
其中,
Figure FDA0003772969950000014
为T时间段观测电阻率数据,k为常系数,
Figure FDA0003772969950000015
为T时间段理论电阻率值,x、y、z为与电阻率对应的空间位置参数,T-1,T或T+1为时间段信息。
in,
Figure FDA0003772969950000014
is the observed resistivity data in the T time period, k is a constant coefficient,
Figure FDA0003772969950000015
is the theoretical resistivity value in the T time period, x, y, and z are the spatial position parameters corresponding to the resistivity, and T-1, T or T+1 is the time period information.
3.根据权利要求2所述的一种时移电阻率异常提取方法,其特征在于,3. a kind of time-shifted resistivity abnormal extraction method according to claim 2, is characterized in that, 步骤3)中,根据公式(4)计算所述电阻率变化量;其中,所述公式(4)表示如下:In step 3), the resistivity variation is calculated according to formula (4); wherein, the formula (4) is expressed as follows:
Figure FDA0003772969950000016
Figure FDA0003772969950000016
其中,
Figure FDA0003772969950000017
为T时间段异常电阻率偏离度。
in,
Figure FDA0003772969950000017
is the deviation of abnormal resistivity in the T time period.
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