CN103207413A - Electrical prospecting device and system - Google Patents

Electrical prospecting device and system Download PDF

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CN103207413A
CN103207413A CN2013101125067A CN201310112506A CN103207413A CN 103207413 A CN103207413 A CN 103207413A CN 2013101125067 A CN2013101125067 A CN 2013101125067A CN 201310112506 A CN201310112506 A CN 201310112506A CN 103207413 A CN103207413 A CN 103207413A
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李梅
魏文博
罗维斌
刘景贤
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China University of Geosciences Beijing
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Abstract

The invention relates to an electrical prospecting method and system. A transmitter transmits signals, and a receiver processes received signals to obtain impulse response and frequency response. The method is characterized by including the following steps that the transmitter transmits a pseudorandom sequence and utilizes the pseudorandom sequence to conduct cross-correlation operation on a time sequence received by the receiver to further obtain the time domain impulse response which is converted to a frequency domain to obtain the frequency response, and a double cole- cole model is used for conducting fitting and inversion to obtain a parameter of a complex resistivity method.

Description

电法勘探装置及系统Electrical prospecting device and system

技术领域technical field

本发明涉及电法勘探领域,具体而言,涉及一种电法勘探装置及系统。The present invention relates to the field of electrical prospecting, in particular to an electrical prospecting device and system.

背景技术Background technique

在寻找金属矿产方面电法勘探(特别是激电法)的应用非常广泛,但是由于生产矿山及其附近存在大量的高压输电线和各种用电设施,这将产生极其强烈的电磁干扰信号;地下开采坑道内大量的金属管道、车辆轨道和废石渣都给电法的供电和电场接收造成很大的困难。所有这一切,都影响了电法勘探方法的应用效果,因此电法勘探在解决危机矿山问题时存在严重的噪声干扰问题。Electrical prospecting (especially IP method) is widely used in the search for metal minerals, but due to the existence of a large number of high-voltage transmission lines and various electrical facilities in and around the production mine, this will generate extremely strong electromagnetic interference signals; A large number of metal pipes, vehicle tracks and waste rocks in the underground mining tunnels have caused great difficulties in the power supply and electric field reception of the electric method. All of these have affected the application effect of the electrical prospecting method, so there is a serious noise interference problem when the electrical prospecting method solves the crisis mine problem.

生产矿山附近电磁干扰尽管很大,但一般是随机性的干扰,而相关辨识技术是一种可以有效地去除随机噪声干扰的系统辨识方法,在机械、自动化、仪器仪表、认知科学、生物信息学等领域都已经得到了广泛的应用,但是在地球物理探测方面却没有得到足够的重视和应用。Although the electromagnetic interference near production mines is very large, it is generally random interference, and correlation identification technology is a system identification method that can effectively remove random noise interference. It is widely used in machinery, automation, instrumentation, cognitive science, and biological information. It has been widely used in the field of geology and other fields, but it has not received enough attention and application in geophysical exploration.

目前,电法勘探中一般是通过堆叠、滤波、远参考等方法去除噪声,但是在矿山电法勘探中这些方法用于去除噪声就显得无能为力,因此勘察效果差,直接带来人力财力的巨大浪费。而且,为了提高信噪比,一个常用的方法就是提高发送电源的功率,这必然造成发送机异常笨重,这给山区的勘探工作带来巨大的困难。At present, in electrical prospecting, noise is generally removed by methods such as stacking, filtering, and remote reference, but in mine electrical prospecting, these methods are powerless to remove noise, so the survey effect is poor, which directly brings about a huge waste of human and financial resources . Moreover, in order to improve the signal-to-noise ratio, a commonly used method is to increase the power of the transmitting power supply, which will inevitably cause the transmitter to be abnormally heavy, which will bring great difficulties to the exploration work in mountainous areas.

另一方面,激电法是电法勘探中用于找矿的最有效的手段,特别是复电阻率法,能够提供较多的电性参数,探测精度较高。复电阻率法是指通过测量得到复电阻率谱也就是频率响应的一种电法勘探方法,但是需要测量多个频点的电场响应才能得到一条频率响应曲线,而且低频的时候需要的时间很长,因此探测效率很低,这是造成复电阻率法效果虽好却不能得到广泛运用的原因。On the other hand, the IP method is the most effective method for prospecting in electrical prospecting, especially the complex resistivity method, which can provide more electrical parameters and has higher detection accuracy. The complex resistivity method refers to an electrical prospecting method that obtains the complex resistivity spectrum, that is, the frequency response, through measurement. However, it is necessary to measure the electric field response at multiple frequency points to obtain a frequency response curve, and it takes a long time at low frequencies. Long, so the detection efficiency is very low, which is the reason why the complex resistivity method can not be widely used although the effect is good.

在电法勘探中如果采用相关辨识技术,那么一次测量就能得到一条频率响应曲线,可以有效解决复电阻率法的效率低下问题,并且具有复电阻率法探测精度高的优点,因此这是一种新的时间域测量的复电阻率法。If correlation identification technology is adopted in electrical prospecting, a frequency response curve can be obtained in one measurement, which can effectively solve the problem of low efficiency of the complex resistivity method, and has the advantage of high detection accuracy of the complex resistivity method, so this is a A new complex resistivity method for time-domain measurements.

图1(a)和(b)示出了现有技术中复电阻率法的观测装置和等效电路。Figure 1 (a) and (b) show the observation device and equivalent circuit of the complex resistivity method in the prior art.

传统的复电阻率法是通过在相当宽的超低频段上观测视复电阻率的幅度谱和相位谱或实分量和虚分量谱,以研究地下介质情况。如图1(a)和(b)所示,发送电流源AB每次发送一个频率的正弦波或者方波,接收端子MN测得对应的电压信号,多次测量得到一个频段内的多个频率的幅度和相位特性,得到复电阻率谱,再利用科尔-科尔模型进行拟合和反演,得到直流电阻率、充电率、时间常数和频率相关系数等电性参数进行地球物理解释。The traditional complex resistivity method is to study the underground medium by observing the magnitude spectrum and phase spectrum or real component and imaginary component spectrum of the apparent complex resistivity in a fairly wide ultra-low frequency band. As shown in Figure 1(a) and (b), the sending current source AB sends a sine wave or square wave of a frequency each time, and the receiving terminal MN measures the corresponding voltage signal, and multiple measurements obtain multiple frequencies in a frequency band The amplitude and phase characteristics of the complex resistivity spectrum are obtained, and then the Cole-Cole model is used for fitting and inversion, and electrical parameters such as DC resistivity, charging rate, time constant and frequency correlation coefficient are obtained for geophysical interpretation.

这种方法能提供比较丰富的激电信息,但需在许多频率上做观测才能获得较完整的频谱,所以生产效率低。This method can provide relatively rich IP information, but it needs to be observed at many frequencies to obtain a relatively complete spectrum, so the production efficiency is low.

发明内容Contents of the invention

本发明的目的是利用相关辨识技术去除随机噪声;在时间域测量一次就可以得到一条频率响应曲线从而提高探测效率;另外,通过采用双科尔-科尔模型进行解释,不仅可以去除电磁耦合效应的影响,还可以得到电磁参数,探测精度提高。The purpose of the present invention is to use correlation identification technology to remove random noise; a frequency response curve can be obtained once in the time domain to improve detection efficiency; in addition, by using the dual Cole-Cole model to explain, not only the electromagnetic coupling effect can be removed The electromagnetic parameters can also be obtained, and the detection accuracy can be improved.

根据本发明的一方面,提供一种电法勘探方法,其利用测量装置进行勘探,所述测量装置包括发送机和接收机,其特征在于,所述方法包括以下步骤:所述发送机发送伪随机序列v(t),接收机接收时间序列信号u(t);利用所述伪随机序列v(t)对所述接收机接收到的时间序列u(t)进行互相关运算,得到时域冲激响应he(t);将所述时域冲激响应he(t)变换到频域,从而得到频率响应He(ω)利用双科尔-科尔模型进行拟合和反演,得到复电阻率法的4个激电参数ρ0、m1、c1、τ1以及电磁耦合效应的3个参数m2、c2、τ2;其中,ρ0表示零频视电阻率:反映电极排列勘探体积内的平均电阻率;m1为激电效应的视充电率:激电效应强度参数(%),与电极排列勘探体积内的可极化物质体积含量正相关;τ1为激电效应的视时间常数:激电效应特征参数(秒),与电极排列勘探体积内的可极化物质的粒度大小等结构信息相关;c1为激电效应的视频率相关系数,是无量纲的基地啊效应过程参数;与电极排列勘探体积内的可极化物质的激电效应类型以及极化物质混合分布均匀性相关;m2为电磁效应的视充电率;τ2为电磁效应的视时间常数;c2为电磁效应的视频率相关系数。According to one aspect of the present invention, an electrical prospecting method is provided, which utilizes a surveying device for surveying, and the surveying device includes a transmitter and a receiver, and is characterized in that the method includes the following steps: the transmitter sends pseudo A random sequence v(t), the receiver receives a time series signal u(t); using the pseudo-random sequence v(t) to perform cross-correlation operations on the time series u(t) received by the receiver, to obtain a time domain Impulse response he (t); transform the time-domain impulse response he (t) into the frequency domain, thereby obtaining the frequency response He (ω) using the double Cole-Cole model for fitting and inversion , get the four IP parameters ρ 0 , m 1 , c 1 , τ 1 of the complex resistivity method and the three parameters m 2 , c 2 , τ 2 of the electromagnetic coupling effect; where ρ 0 represents the zero-frequency apparent resistivity : reflects the average resistivity in the exploration volume of the electrode arrangement; m 1 is the apparent charging rate of the IP effect: the parameter of the intensity of the IP effect (%), positively correlated with the volume content of polarizable substances in the exploration volume of the electrode arrangement; τ 1 is the apparent time constant of the IP effect: the characteristic parameter of the IP effect (seconds), which is related to the structural information such as the particle size of the polarizable material in the probe volume of the electrode arrangement; c 1 is the video frequency correlation coefficient of the IP effect, which is Dimensionless base effect process parameter; related to the type of electrophoresis effect of polarizable substances in the probe volume of the electrode array and the uniformity of polarized substance mixing distribution; m 2 is the apparent charging rate of the electromagnetic effect; τ 2 is the electromagnetic effect The apparent time constant of ; c 2 is the visual frequency correlation coefficient of the electromagnetic effect.

优选地,所述方法还包括步骤:执行反卷积运算去除所述测量装置的影响。Preferably, the method further comprises the step of: performing a deconvolution operation to remove the influence of the measuring device.

优选地,通过多极距的观测方式得到目标极化体的真谱参数和几何分布。Preferably, the true spectral parameters and geometric distribution of the target polarizer are obtained by means of multi-pole distance observation.

优选地,所述伪随机序列为m序列或逆重复m序列。Preferably, the pseudo-random sequence is an m-sequence or an inverse repeated m-sequence.

优选地,将电极、导线、接地阻抗及测量装置的影响归结为一个系统,它的冲激响应为hs(t),大地系统的冲激响应记为he(t),则Preferably, the influence of electrodes, wires, grounding impedance and measuring devices is attributed to a system, its impulse response is h s (t), and the impulse response of the earth system is denoted as he (t), then

u(t)=v(t)*he(t)*hs(t)+n(t)u(t)=v(t)*h e (t)*h s (t)+n(t)

两边用输入伪随机序列v(t)进行互相关运算,消去随机噪声的影响,得到Both sides use the input pseudo-random sequence v(t) to perform cross-correlation operation to eliminate the influence of random noise, and get

Rvu(t)=Rvv(t)*he(t)*hs(t)R vu (t)=R vv (t)*h e (t)*h s (t)

因此,先求输入和输出信号的互相关Rvu(t)以及输入信号的自相关Rvv(t),反卷积运算后得到观测系统和大地系统总的冲激响应he(t)*hs(t),然后再通过反卷积运算去除观测系统hs(t)的影响得到大地系统的冲激响应he(t);Therefore, the cross-correlation R vu (t) of the input and output signals and the autocorrelation R vv (t) of the input signal are calculated first, and the total impulse response he (t) of the observation system and the earth system is obtained after deconvolution operation h s (t), and then remove the influence of the observation system h s (t) by deconvolution to obtain the impulse response he (t) of the earth system;

或者在频域实现上述运算:Or implement the above operation in the frequency domain:

Pvu(ω)=Pvv(ω)·He(ω)·Hs(ω)P vu (ω)=P vv (ω)·H e (ω)·H s (ω)

得到待辨识系统的频率响应: H e ( ω ) = P vu ( ω ) P vv ( ω ) · H s ( ω ) Obtain the frequency response of the system to be identified: h e ( ω ) = P v u ( ω ) P vv ( ω ) · h the s ( ω )

将在发送机附近相关辨识得到的结果就认为是观测系统的冲激响应hs(t),变到频域即为Hs(ω);The result of correlation identification near the transmitter is regarded as the impulse response h s (t) of the observation system, which is H s (ω) in the frequency domain;

计算复电阻率谱ρ(ω):Calculate the complex resistivity spectrum ρ(ω):

ρ(ω)=K·He(ω)ρ(ω)=K H e (ω)

其中K称为装置系数,where K is called the device coefficient,

KK == 22 ππ 11 AMAM -- 11 ANAN ++ 11 BNBN -- 11 BMBM

式中AM、AN、BN、BM为电极间的距离,其中A、B是一对发送电极,M、N是一对接收电极;In the formula, AM, AN, BN, and BM are the distances between electrodes, where A, B are a pair of transmitting electrodes, and M, N are a pair of receiving electrodes;

利用双科尔-科尔模型Using the dual Cole-Cole model

ρρ (( ωω )) == ρρ 00 {{ 11 -- mm 11 [[ 11 -- 11 11 ++ (( jωjω ττ 11 )) cc 11 ]] }} {{ 11 -- mm 22 [[ 11 -- 11 11 ++ (( jωjω ττ 22 )) cc 22 ]] }}

拟合得到4个激电参数ρ0、m1、c1、τ1,以及3个电磁耦合效应参数m2、c2、τ2Four IP parameters ρ 0 , m 1 , c 1 , τ 1 and three electromagnetic coupling effect parameters m 2 , c 2 , τ 2 are obtained by fitting.

优选地,拟合时ρ0、m1、c1、τ1和m2、c2、τ2初值的选择方法如下:c1的取值范围在0.1-0.6之间,c2的取值范围为0.9-1.0,m1、m2的取值范围在0-0.98之间,而且m1<m2,ρ0的初值设为幅度谱或者实分量谱的低频渐近线的值,根据虚分量谱在高频段的峰值频率求出τ2的初值,τ1的初值定为τ2的初值的50倍。Preferably, the selection method of the initial values of ρ 0 , m 1 , c 1 , τ 1 and m 2 , c 2 , τ 2 during fitting is as follows: the value range of c 1 is between 0.1-0.6, and the value of c 2 is The value range is 0.9-1.0, the value range of m 1 and m 2 is between 0-0.98, and m 1 <m 2 , the initial value of ρ 0 is set to the value of the amplitude spectrum or the low-frequency asymptote of the real component spectrum , according to the peak frequency of the imaginary component spectrum in the high frequency band, the initial value of τ 2 is obtained, and the initial value of τ 1 is set as 50 times the initial value of τ 2 .

根据本发明的另一方面,提供一种用于电法勘探的发送机,其特征在于所述发送机包括全球定位系统GPS(Global Positioning System)模块(1)、伪随机信号发生器(2)、驱动及保护模块(3)、智能功率模块IPM(Intelligent Power Modules)(5)、温度控制模块(4)和供电模块(7),和发送电极AB(6);其中,GPS模块(1)通过串口向伪随机信号发生器(2)传递授时同步信息,完成数据信息的存储,并控制驱动及保护模块(3);驱动及保护模块(3)驱动IPM(5)工作,保护电路用于保护整个系统的安全;温度控制系统(4)监测发射机内部的温度,当超过预定值后复位机器或关闭机器;IPM(5)将输出信号转换成用于电法勘探的电流信号并向发送电极AB(6)输送电流;供电模块(7)为板卡提供低压电源,并为IPM(5)提供所需高压。According to another aspect of the present invention, a transmitter for electrical prospecting is provided, characterized in that the transmitter includes a GPS (Global Positioning System) module (1), a pseudo-random signal generator (2) , drive and protection module (3), intelligent power module IPM (Intelligent Power Modules) (5), temperature control module (4) and power supply module (7), and sending electrode AB (6); among them, the GPS module (1) Transmit timing synchronization information to the pseudo-random signal generator (2) through the serial port, complete the storage of data information, and control the drive and protection module (3); the drive and protection module (3) drives the IPM (5) to work, and the protection circuit is used for Protect the safety of the entire system; the temperature control system (4) monitors the temperature inside the transmitter, and resets the machine or shuts down the machine when it exceeds a predetermined value; IPM (5) converts the output signal into a current signal for electrical exploration and sends it to The electrodes AB (6) deliver current; the power supply module (7) provides a low-voltage power supply for the board, and provides the required high voltage for the IPM (5).

优选地,伪随机信号发生器(2)进一步根据需要输出不同阶数、不同频率的m序列或者逆重复m序列,配置LCD用于显示发射机信号类型、参数及状态。Preferably, the pseudo-random signal generator (2) further outputs m-sequences of different orders and frequencies or inversely repeated m-sequences as required, and the LCD is configured to display the transmitter signal type, parameters and status.

根据本发明的另一方面,提供一种用于电法勘探的接收机,其特征在于所述接收机包括GPS模块(8)、伪随机信号发生器(9)、接收电极MN(10)、前置放大模块(11)、滤波及陷波模块(12)、精密放大模块(13)、自相关器(14)、互相关器(15)、第一反卷积器(16)、第二反卷积器(17)、FFT变换器(18)、复电阻率谱生成器(19)、拟合器(20)、反演器(21);其中,GPS模块(8)通过串口向伪随机信号发生器(9)传递授时同步信息,实现精准同步并且和发送机的伪随机序列保持精确同相,伪随机信号发生器(9)根据需要输出与发送机相同阶数、相同频率的m序列;接收电极MN(10)接收通过地下介质传来的电位差,然后经过前置放大模块(11)将接收到的电磁信号进行初步的放大,并经过滤波及陷波模块(12)滤除高频噪声及系统的工频噪声,再通过精密放大模块(13)将滤除噪声的信号进行低噪精密放大;自相关器(14)实现伪随机信号的自相关运算;互相关器(15)实现伪随机信号和接收信号的互相关运算;经过第一反卷积器(16)得到总的冲激响应,第二反卷积器(17)去除观测系统影响处理后获得大地系统冲激响应,FFT变换器(18)对大地冲激响应进行处理可获得大地系统的频率响应,大地系统频率响应经过复电阻率谱生成器(19)得到大地系统的复电阻率谱,拟合器(20)依据双科尔-科尔模型拟合可以获得视谱参数,反演器(21)进行联合反演获得真谱参数,从而获得地球物理有用的参数信息,并进行实时数据图形显示及存储。According to another aspect of the present invention, a receiver for electrical prospecting is provided, characterized in that the receiver includes a GPS module (8), a pseudo-random signal generator (9), a receiving electrode MN (10), Pre-amplification module (11), filter and notch module (12), precision amplification module (13), autocorrelator (14), cross-correlator (15), first deconvolver (16), second Deconvolver (17), FFT converter (18), complex resistivity spectrum generator (19), fitter (20), invertor (21); wherein, GPS module (8) sends pseudo The random signal generator (9) transmits timing synchronization information to achieve precise synchronization and maintains accurate phase-in-phase with the pseudo-random sequence of the transmitter. The pseudo-random signal generator (9) outputs the m-sequence with the same order and frequency as the transmitter as required ; The receiving electrode MN (10) receives the potential difference transmitted through the underground medium, and then pre-amplifies the received electromagnetic signal through the pre-amplification module (11), and filters out the high Frequency noise and power frequency noise of the system, and then through the precision amplification module (13), the noise-filtered signal is amplified with low noise and precision; the autocorrelator (14) realizes the autocorrelation operation of the pseudo-random signal; the cross-correlator (15) Realize the cross-correlation operation between the pseudo-random signal and the received signal; the total impulse response is obtained through the first deconvolver (16), and the earth system impulse response is obtained after the second deconvolver (17) removes the influence of the observation system , the FFT converter (18) processes the ground impulse response to obtain the frequency response of the ground system, the frequency response of the ground system passes through the complex resistivity spectrum generator (19) to obtain the complex resistivity spectrum of the ground system, and the fitter (20 ) can obtain sight spectrum parameters according to double Cole-Cole model fitting, and the invertor (21) performs joint inversion to obtain true spectrum parameters, thereby obtaining useful geophysical parameter information, and performing real-time data graphic display and storage.

根据本发明的再一方面,提供一种电法勘探系统,其特征在于包含上述发送机以及接收机。According to yet another aspect of the present invention, an electrical prospecting system is provided, which is characterized by comprising the above-mentioned transmitter and receiver.

与现有技术相比,根据本发明的技术方案能够带来以下的技术效果:Compared with the prior art, the technical solution according to the present invention can bring the following technical effects:

1、能够去除接收信号中叠加的随机干扰。根据维纳-霍夫方程,用输入的伪随机信号对输出信号进行互相关运算,由于输入信号和输出信号中叠加的随机噪声不相关,所以随机噪声被消除。1. It can remove the random interference superimposed in the received signal. According to the Wiener-Hoff equation, the input pseudo-random signal is used to perform a cross-correlation operation on the output signal. Since the random noise superimposed in the input signal and the output signal is not correlated, the random noise is eliminated.

2、能够去除观测系统对测量结果的影响。对于一个实际系统,电极、导线、接地阻抗及测量装置都会对测量结果产生影响而降低辨识的准确度,利用反卷积运算,这个影响很容易被去除。2. It can remove the influence of the observation system on the measurement results. For a practical system, electrodes, wires, ground impedance and measuring devices will all affect the measurement results and reduce the accuracy of identification. Using deconvolution operation, this effect can be easily removed.

3、能够得到目标极化体的真谱参数和几何分布。单输入单输出辨识得到的冲激响应和频率响应反映的是发送接收电极之间勘探体积内地下介质的整体效应,采用多极距的高密度几何测深方法,能够得到目标极化体的真谱参数和几何分布,具有水平和纵向分辨力高、反映异常幅度大等优点,特别是在复杂地形条件下地质勘查效果较好。3. The true spectral parameters and geometric distribution of the target polarizer can be obtained. The impulse response and frequency response obtained from the single-input-single-output identification reflect the overall effect of the subsurface medium in the survey volume between the sending and receiving electrodes. Using the high-density geometric sounding method with multiple pole distances, the true position of the target polarized body can be obtained. Spectral parameters and geometric distribution have the advantages of high horizontal and vertical resolution and large abnormal range, especially in geological exploration under complex terrain conditions.

4、能够去除电磁耦合效应的影响。激电法中如何去除电磁耦合效应的影响一直以来都是人们亟待解决的问题。利用双科尔-科尔模型的复电阻率法不仅可以得到激电效应的4个参数,还可以得到关于电磁耦合效应的3个参数,因此不仅可以分离电磁效应对激电参数的影响,利用电磁参数还可以得到更多的信息,因此探测精度大大提高。4. It can remove the influence of electromagnetic coupling effect. How to remove the influence of electromagnetic coupling effect in IP method has always been an urgent problem to be solved. The complex resistivity method using the double Cole-Cole model can not only obtain the four parameters of the IP effect, but also obtain the three parameters of the electromagnetic coupling effect, so it can not only separate the influence of the electromagnetic effect on the IP parameters, but also use Electromagnetic parameters can also get more information, so the detection accuracy is greatly improved.

附图说明Description of drawings

图1(a)示出了复电阻率法的观测装置;Figure 1(a) shows the observation device of the complex resistivity method;

图1(b)示出了复电阻率法的等效电路;Figure 1(b) shows the equivalent circuit of the complex resistivity method;

图2示出了根据本发明的电法勘探方法的辨识模型;Fig. 2 shows the identification model of the electrical prospecting method according to the present invention;

图3示出了待辨识系统的冲激响应(以一个典型的二阶系统为例);Figure 3 shows the impulse response of the system to be identified (taking a typical second-order system as an example);

图4(a)示出了一个周期的m序列;Figure 4(a) shows a periodic m-sequence;

图4(b)示出了一个周期的逆重复m序列;Fig. 4 (b) has shown the anti-repetitive m sequence of a cycle;

图4(c)示出了高斯白噪声的示意图;Figure 4(c) shows a schematic diagram of Gaussian white noise;

图5示出了利用m序列辨识得到的冲激响应和真实冲激响应对比示意图;Figure 5 shows a schematic diagram of the comparison between the impulse response obtained by m-sequence identification and the real impulse response;

图6示出了利用逆重复m序列辨识得到的冲激响应和真实冲激响应对比示意图;Figure 6 shows a schematic diagram of the comparison between the impulse response obtained by identifying the reverse repeated m-sequence and the real impulse response;

图7示出了根据本发明的电法勘探方法的辨识模型中考虑观测系统的影响的情形;Fig. 7 shows the situation in which the influence of the observation system is considered in the identification model of the electrical prospecting method according to the present invention;

图8示出了待辨识系统冲激响应反卷积前后的对比示意图;Figure 8 shows a schematic diagram of the comparison before and after the deconvolution of the impulse response of the system to be identified;

图9示出了多极距观测系统的示意图;Figure 9 shows a schematic diagram of a multi-pole distance observation system;

图10示出了双科尔-科尔模型幅度谱辨识前后的对比示意图;Fig. 10 shows the comparative schematic diagram before and after the identification of the magnitude spectrum of the double Cole-Cole model;

图11示出了双科尔-科尔模型相位谱辨识前后的对比示意图;Fig. 11 shows the comparative schematic diagram before and after phase spectrum identification of the dual Cole-Cole model;

图12示出了双科尔-科尔模型拟合的幅度/相位示意图;Figure 12 shows a magnitude/phase schematic diagram of a dual Cole-Cole model fit;

图13示出了双科尔-科尔模型拟合的实部/虚部示意图;Figure 13 shows a schematic diagram of the real/imaginary part of the dual Cole-Cole model fitting;

图14示出了根据本发明的电法勘探装置中发送机的示意图;Fig. 14 shows a schematic diagram of a transmitter in an electrical surveying device according to the present invention;

图15示出了根据本发明的电法勘探装置中接收机的示意图。Fig. 15 shows a schematic diagram of a receiver in an electrical surveying device according to the present invention.

具体实施方式Detailed ways

图2示出了根据本发明的电法勘探方法的辨识模型。它的基本原理是维纳-霍夫方程。它的核心是采用伪随机序列(包括m序列和逆重复m序列)对接收到的时间序列进行相关处理,得到冲激响应,把冲激响应变到频域就是频率响应。Fig. 2 shows the identification model of the electrical prospecting method according to the present invention. Its basic principle is the Wiener-Hoff equation. Its core is to use pseudo-random sequences (including m-sequences and reverse-repeated m-sequences) to correlate the received time series to obtain an impulse response, and transforming the impulse response into the frequency domain is the frequency response.

系统输入为v(t),输出u(t)也就是测量到的信号,h(t)是待辨识系统的冲激响应,r(t)是输入v(t)经过被测系统后的响应,外部的随机噪声干扰n(t),其中输入v(t)、输出u(t)是已知的,干扰n(t)为不可测的、未知的。The system input is v(t), the output u(t) is the measured signal, h(t) is the impulse response of the system to be identified, r(t) is the response of the input v(t) after passing through the system under test , external random noise interference n(t), where the input v(t) and output u(t) are known, and the interference n(t) is unmeasurable and unknown.

系统输入输出信号v(t)、u(t)有如下关系:The system input and output signals v(t), u(t) have the following relationship:

u(t)=r(t)+n(t)=v(t)*h(t)+n(t)   (1)u(t)=r(t)+n(t)=v(t)*h(t)+n(t) (1)

式中h(t)为被测系统的时域冲激响应,*为卷积运算。Where h(t) is the time-domain impulse response of the system under test, and * is the convolution operation.

式(1)两边同时用输入信号v(t)进行互相关运算:The input signal v(t) is used to perform cross-correlation calculation on both sides of formula (1):

Rvu(t)=Rvv(t)*h(t)+Rvn(t)   (2)R vu (t)=R vv (t)*h(t)+R vn (t) (2)

式中Rvu(t)表示输入和输出的互相关,Rvv(t)表示输入的自相关,Rvn(t)表示干扰n(t)和输入信号的互相关。In the formula, R vu (t) represents the cross-correlation between input and output, R vv (t) represents the auto-correlation of input, and R vn (t) represents the cross-correlation between interference n(t) and input signal.

由于外部的随机噪声干扰和输入信号不相关,因此(2)式中的Rvn(t)为0。可以看到,互相关运算的结果是消去了随机噪声的干扰。因此得到Since the external random noise interference is not correlated with the input signal, R vn (t) in (2) is 0. It can be seen that the result of the cross-correlation operation eliminates the interference of random noise. thus get

Rvu(t)=Rvv(t)*h(t)   (3) Rvu (t)= Rvv (t)*h(t) (3)

这就是著名的维纳-霍夫方程。因此,我们只要求出输入的自相关函数Rvv(t)和输入输出的互相关Rvu(t),就可以通过解卷积的方法得到被测系统的时域冲激响应h(t)。变换到频域就是频率响应。这样一次发送和接收就得到了一条频率响应曲线,包括幅频响应和相频响应,大大提高了探测效率。This is the famous Wiener-Hoff equation. Therefore, we only need to find out the autocorrelation function R vv (t) of the input and the cross-correlation R vu (t) of the input and output, and then the time-domain impulse response h(t) of the system under test can be obtained by deconvolution . Transforming to the frequency domain is the frequency response. In this way, a frequency response curve can be obtained by sending and receiving once, including amplitude-frequency response and phase-frequency response, which greatly improves the detection efficiency.

但是如果输入是一般信号,那么求解方程(3)是比较困难的。为此我们要寻找一些特殊的信号作为输入信号以简化求解过程。而白噪声信号的自相关函数具有特殊的形式,其自相关函数是一个δ函数。当被辨识系统的输入为白噪声时,只要求出输入输出信号之间的互相关函数,就可以相除直接得到系统的冲激响应。但白噪声只是数学上的一个抽象,工程上不容易实现,更不具有可重复性。工程中常使用伪随机信号作为输入信号。它具有近似白噪声的性质,所以可以保证良好的辨识精度,而且在工程上容易实现。But if the input is a general signal, then solving equation (3) is more difficult. For this reason, we need to find some special signals as input signals to simplify the solution process. The autocorrelation function of the white noise signal has a special form, and its autocorrelation function is a delta function. When the input of the system to be identified is white noise, only the cross-correlation function between the input and output signals is required, and the impulse response of the system can be directly obtained by subtraction. But white noise is only an abstraction in mathematics, not easy to implement in engineering, let alone repeatable. Pseudo-random signals are often used as input signals in engineering. It has the property of approximating white noise, so it can guarantee good identification accuracy, and it is easy to realize in engineering.

辨识通常采用的伪随机信号是m序列或者逆重复m序列。m序列是指最大长度移位寄存器序列。逆重复m序列也称L序列,是对m序列扩展一倍,然后隔位取反后产生的,由于在一个周期内均值为0,因此在进行系统相关辨识时具有比m序列更优良的特性。附图3是一个待辨识系统的冲激响应h(t),以一个典型的二阶系统为例。附图4(a)是一个周期,长度为31的m序列,图4(b)是一个周期的逆重复m序列,图4(c)是叠加的噪声n(t)。附图5是利用m序列进行相关辨识的结果,可以看到,经过相关辨识恢复的冲激响应基本和真实的冲激响应重合,噪声的影响变得很小。附图6是利用逆重复m序列进行相关辨识的结果,辨识效果比m序列更好。Pseudo-random signals commonly used for identification are m-sequences or reverse-repeated m-sequences. The m-sequence refers to a maximum-length shift register sequence. Inversely repeated m-sequence is also called L-sequence, which is generated by doubling the m-sequence and then inverting every bit. Since the average value is 0 within one period, it has better characteristics than m-sequence in system correlation identification . Figure 3 is an impulse response h(t) of a system to be identified, taking a typical second-order system as an example. Accompanying drawing 4 (a) is a cycle, the length is 31 m-sequences, Fig. 4 (b) is a cycle anti-repetitive m-sequences, Fig. 4 (c) is superimposed noise n (t). Figure 5 is the result of correlation identification using m-sequence. It can be seen that the impulse response recovered after correlation identification basically coincides with the real impulse response, and the influence of noise becomes very small. Figure 6 is the result of correlation identification using reverse repeated m-sequence, and the identification effect is better than that of m-sequence.

另外,在本发明的一个优选实施例中,为了去除电极、导线、接地阻抗及测量装置的影响,在接收机的数据处理过程中进行了反卷积运算,其原理如下:In addition, in a preferred embodiment of the present invention, in order to remove the influence of electrodes, wires, grounding impedance and measuring devices, a deconvolution operation is carried out in the data processing process of the receiver, and its principle is as follows:

将电极、导线、接地阻抗及测量装置的影响归结为一个系统,它的冲激响应为hs(t),大地系统的冲激响应记为he(t),如附图7所示。那么(1)式变成The influence of electrodes, wires, grounding impedance and measuring devices is attributed to a system, its impulse response is h s (t), and the impulse response of the earth system is recorded as he (t), as shown in Figure 7. Then (1) becomes

u(t)=v(t)*he(t)*hs(t)+n(t)   (4)u(t)=v(t)*h e (t)*h s (t)+n(t) (4)

(4)式两边用输入伪随机序列进行互相关运算,就可以消去随机噪声的影响,得到The influence of random noise can be eliminated by using the input pseudo-random sequence to perform cross-correlation operation on both sides of the formula (4), and we can get

Rvu(t)=Rvv(t)*he(t)*hs(t)   (5)R vu (t)=R vv (t)*h e (t)*h s (t) (5)

因此,先求输入和输出信号的互相关Rvu(t)以及输入信号的自相关Rvv(t),反卷积运算后得到观测系统和大地系统总的冲激响应he(t)*hs(t),然后再通过反卷积运算去除观测系统hs(t)的影响得到大地系统的冲激响应he(t)。从附图8可以看出,去除观测系统的影响后的冲激响应更接近待辨识系统的冲激响应。Therefore, the cross-correlation R vu (t) of the input and output signals and the auto-correlation R vv (t) of the input signal are calculated first, and the total impulse response he (t) of the observation system and the earth system is obtained after deconvolution operation h s (t), and then remove the influence of the observation system h s (t) by deconvolution operation to obtain the impulse response he (t) of the earth system. It can be seen from Figure 8 that the impulse response after removing the influence of the observation system is closer to the impulse response of the system to be identified.

也可以把卷积和反卷积运算转化成在频域或者复频域相乘或者相除的运算。因此(5)式变为:It is also possible to convert the convolution and deconvolution operations into multiplication or division operations in the frequency domain or complex frequency domain. So formula (5) becomes:

Pvu(ω)=Pvv(ω)·He(ω)·Hs(ω)   (6)P vu (ω)=P vv (ω) · He (ω) · H s (ω) (6)

这样就得到待辨识系统的频率响应:In this way, the frequency response of the system to be identified is obtained:

Hh ee (( &omega;&omega; )) == PP vuv u (( &omega;&omega; )) PP vvvv (( &omega;&omega; )) &CenterDot;&CenterDot; Hh sthe s (( &omega;&omega; )) -- -- -- (( 77 ))

在发送机附近相关辨识得到的结果就认为是观测系统的冲激响应hs(t),因为在发送机附近,可以忽略大地系统的影响,认为只有观测系统的影响。把它变到频域即为Hs(ω)。The result of correlation identification near the transmitter is regarded as the impulse response h s (t) of the observation system, because the influence of the earth system can be ignored near the transmitter, and only the influence of the observation system is considered. Putting it into the frequency domain is H s (ω).

在地球物理中用到的是复电阻率谱ρ(ω)。它和频率响应的关系是:What is used in geophysics is the complex resistivity spectrum ρ(ω). Its relationship to the frequency response is:

ρ(ω)=K·He(ω)   (8)ρ(ω)=K H e (ω) (8)

这里K称为装置系数。如图1(a)所示,A、B是一对发送电极,M、N是一对接收电极,那么装置系数的大小取决于A、M、N、B四电极的相对位置:Here K is called the device coefficient. As shown in Figure 1(a), A and B are a pair of transmitting electrodes, and M and N are a pair of receiving electrodes, then the coefficient of the device depends on the relative positions of the four electrodes A, M, N, and B:

(( 99 )) ,, KK == 22 &pi;&pi; 11 AMAM -- 11 ANAN ++ 11 BNBN -- 11 BMBM

式中AM、AN、BN、BM为电极间的距离。Where AM, AN, BN, BM are the distances between electrodes.

得到复电阻率谱以后,利用复电阻率法来进行地球物理解释。通常复电阻率法采用单科尔-科尔模型进行拟合:After obtaining the complex resistivity spectrum, the complex resistivity method is used for geophysical interpretation. Usually the complex resistivity method is fitted with a single Cole-Cole model:

&rho;&rho; (( &omega;&omega; )) == &rho;&rho; 00 {{ 11 -- mm [[ 11 -- 11 11 ++ (( j&omega;j&omega; &tau;&tau; )) cc ]] }} -- -- -- (( 1010 ))

这样拟合得到4个激电参数ρ0、m、τ、c。由于复电阻率谱中含有电磁耦合效应的影响,所以这样得到的激电参数是不够准确的。In this way, four IP parameters ρ 0 , m, τ, and c are obtained through fitting. Because the complex resistivity spectrum contains the influence of electromagnetic coupling effect, the IP parameters obtained in this way are not accurate enough.

而利用双科尔-科尔模型(式(11)所示)进行拟合不仅可以得到4个激电参数ρ0、m1、c1、τ1,还可以得到关于电磁耦合效应的3个参数m2、c2、τ2However, using the double Cole-Cole model (shown in Equation (11)) for fitting can not only obtain four IP parameters ρ 0 , m 1 , c 1 , τ 1 , but also obtain three parameters about the electromagnetic coupling effect Parameters m 2 , c 2 , τ 2 .

&rho;&rho; (( &omega;&omega; )) == &rho;&rho; 00 {{ 11 -- mm 11 [[ 11 -- 11 11 ++ (( j&omega;j&omega; &tau;&tau; 11 )) cc 11 ]] }} {{ 11 -- mm 22 [[ 11 -- 11 11 ++ (( j&omega;j&omega; &tau;&tau; 22 )) cc 22 ]] }} -- -- -- (( 1111 ))

这7个参数反映的是电极排列勘探体积内的总体信息,称为视谱参数,它们的物理意义是:These seven parameters reflect the overall information in the exploration volume of the electrode arrangement, which are called spectral parameters, and their physical meanings are:

①ρ0-表示零频视电阻率:反映电极排列勘探体积内的平均电阻率。①ρ 0 -Indicates the zero-frequency apparent resistivity: it reflects the average resistivity within the exploration volume of the electrode arrangement.

②m1-激电效应的视充电率:激电效应强度参数(%),与电极排列勘探体积内的可极化物质体积含量正相关。②m 1 - Apparent charging rate of IP effect: parameter of IP effect intensity (%), which is positively related to the volume content of polarizable substances in the probe volume of electrode arrangement.

③τ1-激电效应的视时间常数:激电效应特征参数(秒),与电极排列勘探体积内的可极化物质的粒度大小等结构信息相关。③τ 1 -apparent time constant of the IP effect: characteristic parameter of the IP effect (seconds), which is related to structural information such as the particle size of the polarizable material in the electrode arrangement exploration volume.

④c1-激电效应的视频率相关系数:激电效应过程参数(无量纲),与电极排列勘探体积内的可极化物质的激电效应类型以及极化物质混合分布均匀性相关。④c 1 - Video frequency correlation coefficient of IP effect: IP effect process parameter (dimensionless), which is related to the type of IP effect of polarizable substances in the probe volume of electrode arrangement and the uniformity of mixing and distribution of polarized substances.

⑤m2-电磁效应的视充电率。⑤m 2 -Apparent charging rate of electromagnetic effect.

⑥τ2-电磁效应的视时间常数。⑥τ 2 -The apparent time constant of the electromagnetic effect.

⑦c2-电磁效应的视频率相关系数。⑦c 2 -Video frequency correlation coefficient of electromagnetic effect.

因此该方法不仅可以分离激电谱和电磁耦合谱,利用得到的电磁参数还能得到剩余电磁效应(REM)参数和电磁视电阻率ρω等,因此可以提高探测精度。Therefore, this method can not only separate induced excitation spectrum and electromagnetic coupling spectrum, but also obtain residual electromagnetic effect (REM) parameters by using the obtained electromagnetic parameters. And electromagnetic apparent resistivity ρ ω , etc., so the detection accuracy can be improved.

在一个测点得到的是视谱参数,我们需要的是目标极化体(也就是需探明的矿体或者油气藏等)的真科尔-科尔参数和它的几何分布(包括深度、厚度、产状等信息),所以需要2个以上的测点的信息。采取多极距观测,信息量就极大丰富了。因此在本发明的一个优选实施例中,采用了几何测深的方法——多极距观测,可以得到不同深度的异常体的信息。What we get at a measuring point is the view spectrum parameter, what we need is the true Cole-Cole parameter of the target polarized body (that is, the ore body or oil and gas reservoir to be proven) and its geometric distribution (including depth, Thickness, shape and other information), so the information of more than 2 measuring points is required. By adopting multi-pole distance observations, the amount of information is greatly enriched. Therefore, in a preferred embodiment of the present invention, the method of geometric bathymetry—multi-polar distance observation is adopted to obtain the information of abnormal bodies at different depths.

这种工作方式如图9所示,AB是发送电极,M1N1是第一对接收电极,N1M3(即为M2N2)是第二对接收电极,M3N3是第三对接收电极。同线排列的多个接收器同时接收发送电偶极源的电场响应,收发距按一定的间距增加。由于不同的收发距探测的深度不同,收发距越大反映的深度越大,因此在一个供电点一次供电,就可以接收到不同深度的多个频率的电场响应。沿剖面按一定的点距多次移动观测系统,就可观测到一条剖面上不同收发距的多个频率的径向电场响应,获取丰富的电场信息。可以采取以下两种方法由多极距观测结果得到目标极化体的真谱参数和几何分布。This working method is shown in Figure 9, AB is the sending electrode, M 1 N 1 is the first pair of receiving electrodes, N 1 M 3 (that is, M 2 N 2 ) is the second pair of receiving electrodes, M 3 N 3 is the The third pair of receiving electrodes. Multiple receivers arranged in the same line receive the electric field response of the sending electric dipole source at the same time, and the sending and receiving distance increases according to a certain interval. Since different transceiver distances have different detection depths, the greater the transceiver distance, the greater the depth reflected. Therefore, one power supply point can receive electric field responses of multiple frequencies at different depths. By moving the observation system multiple times along the section at a certain point distance, the radial electric field response of multiple frequencies with different transmitting and receiving distances on a section can be observed, and a wealth of electric field information can be obtained. The following two methods can be adopted to obtain the true spectral parameters and geometric distribution of the target polaroid from the observation results of multi-polar distances.

①对多极距的测量结果也就是多个测点的视谱进行联合反演,可以求出目标极化体的几何分布及真谱参数。先对每个测点的复电阻率谱(包括振幅和相位)用常规复电阻率法反演分离出极化体和围岩的视谱,再对分离出的多个不同极距的视相位谱联合反演得到目标极化体的真谱参数和几何分布。① The geometric distribution and true spectrum parameters of the target polarized body can be obtained by joint inversion of the measurement results of multi-pole distances, that is, the sight spectra of multiple measuring points. Firstly, the complex resistivity spectrum (including amplitude and phase) of each measuring point is inverted by the conventional complex resistivity method to separate the apparent spectrum of the polarized body and surrounding rock, and then the separated apparent phase The true spectral parameters and geometric distribution of the target polaroid are obtained through joint spectral inversion.

②利用分离出的电磁效应的参数可以计算剩余电磁效应(REM)参数和电磁视电阻率2个电磁参数,它们比常规视电阻率能更灵敏地反应地下导电性异常。这样反演每一个测点的复电阻率谱可获得六个参数:四个激电参数,两个电磁参数。多极距观测结果用六个参数的拟断面图表示,可以反映地电构造沿剖面和随深度的变化。② Two electromagnetic parameters, the residual electromagnetic effect (REM) parameter and the electromagnetic apparent resistivity, can be calculated by using the separated electromagnetic effect parameters, which can more sensitively reflect the abnormality of underground conductivity than the conventional apparent resistivity. In this way, six parameters can be obtained by inverting the complex resistivity spectrum of each measuring point: four induced electric parameters and two electromagnetic parameters. The results of multi-pole distance observations are represented by pseudo-section diagrams with six parameters, which can reflect the changes of geoelectric structures along the section and with depth.

本领域的技术人员应当理解,在图1、图9中,发送端不一定用电偶极源,也可以使用磁性源线圈等任意一种电法勘探用主动源。接收端也不一定用偶极子接收,可以使用磁棒等任何一种电法勘探用接收器。另外,发送接收不一定采用如图9的多极距观测装置,可以是这种同线排列的,也可以是轴向测量,可以是这种一个发多个收的,也可以一个发一个收,或者多发多收。另外,对得到的频率响应,除了用复电阻率法来解释,还可以用直流电阻率法、激电法、电磁法来解释。在频率接近0时,频率响应曲线在该点的值就是该测点的直流视电阻率,得到多个测点的值后可以用直流电阻率法反演。在高频(例如大于104Hz),可以求取一些电磁参数,采用电磁法的资料处理和反演方法。在低频段则可以得到一些激电参数,例如视频散率、视频散率道间变化率、道间低频复电阻率的变化率等参数。另外,也可以直接对时间域的冲激响应进行地球物理解释。在考虑复电阻率法时,也不一定是这种乘积形式的双科尔-科尔模型,也可以是和形式的双科尔-科尔模型,还可以是Dias模型、Brown模型或者其他模型。Those skilled in the art should understand that in FIGS. 1 and 9 , the transmitting end does not necessarily use an electric dipole source, and any active source for electrical exploration such as a magnetic source coil can also be used. The receiving end does not necessarily use a dipole to receive, and any receiver for electrical exploration such as a magnetic rod can be used. In addition, the sending and receiving does not necessarily use the multi-pole distance observation device as shown in Figure 9. It can be arranged in the same line, or it can be measured in the axial direction. , or overpayment and overpayment. In addition, besides using the complex resistivity method to explain the obtained frequency response, it can also be explained by the DC resistivity method, induced electricity method, and electromagnetic method. When the frequency is close to 0, the value of the frequency response curve at this point is the DC apparent resistivity of the measuring point. After obtaining the values of multiple measuring points, the DC resistivity method can be used for inversion. At high frequency (for example greater than 10 4 Hz), some electromagnetic parameters can be obtained, and the data processing and inversion methods of electromagnetic method can be used. In the low frequency band, some IP parameters can be obtained, such as the video dispersion rate, the change rate of the video dispersion rate between channels, and the change rate of low-frequency complex resistivity between channels. Alternatively, a direct geophysical interpretation of the impulse response in the time domain is possible. When considering the complex resistivity method, it is not necessarily the double Cole-Cole model of the product form, but also the double Cole-Cole model of the sum form, Dias model, Brown model or other models .

与现有技术相比较,根据本发明的技术方案的不同之处至少在于:Compared with the prior art, the difference of the technical solution according to the present invention is at least:

1、采用伪随机序列(包括m序列和逆重复m序列)对电法接收机接收到的时间序列进行互相关运算,得到系统的冲激响应和频率响应;1. Use pseudo-random sequences (including m-sequences and reverse-repeated m-sequences) to perform cross-correlation operations on the time series received by the electrical receiver to obtain the system's impulse response and frequency response;

2、采用反卷积去除观测系统的影响;2. Use deconvolution to remove the influence of the observation system;

3、采用多极距的观测方式得到目标极化体的真谱参数和几何分布;3. Obtain the true spectral parameters and geometric distribution of the target polarized body by means of multi-polar distance observation;

4、对得到的频率响应采用复电阻率法进行反演解释。采用双科尔-科尔模型可以得到电磁参数,探测更精细。为了对本发明技术方案的技术效果有更好的了解,以下通过一个仿真实例进行说明。4. The complex resistivity method is used for inverse interpretation of the obtained frequency response. The electromagnetic parameters can be obtained by using the double Cole-Cole model, and the detection is more precise. In order to have a better understanding of the technical effect of the technical solution of the present invention, a simulation example is used below to illustrate.

由于典型二阶系统的特性是我们所熟知的,辨识效果也容易比对,所以下面以对一个二阶系统的辨识结果为例。假设一个待辨识二阶系统冲激响应为h(t)=a.ebt.sin(ct),取a=11.547,b=-5,c=8.66,如图3所示。该二阶系统截止频率为2Hz,它的冲激响应在1s后基本趋于零,所以系统的过渡时间约为1s。根据参数选择公式(12)和(13),伪随机序列的码片宽度可以选择0.02s,而序列的周期长度为63即可。Since the characteristics of a typical second-order system are well known to us, and the identification results are easy to compare, the identification results of a second-order system are taken as an example below. Suppose the impulse response of a second-order system to be identified is h(t)=ae bt .sin(ct), a=11.547, b=-5, c=8.66, as shown in Figure 3. The cut-off frequency of this second-order system is 2Hz, and its impulse response basically tends to zero after 1s, so the transition time of the system is about 1s. According to parameter selection formulas (12) and (13), the chip width of the pseudo-random sequence can be selected as 0.02s, and the period length of the sequence is 63.

0.4430.443 11 &Delta;&Delta; &GreaterEqual;&Greater Equal; ff maxmax -- -- -- (( 1212 ))

NN == (( 1.21.2 -- 1.51.5 )) TT sthe s &Delta;&Delta; -- -- -- (( 1313 ))

这里Δ为码片宽度,fmax为系统截止频率,Ts为系统的过渡时间,N为序列的周期长度。为了得到更好的辨识效果,取码片宽度为0.01s,序列长度取100个点。实际辨识过程中,可以发送几个周期(例如3-5个周期)的伪随机序列以得到更好的辨识效果。接收机也可以选择效果较好的波形进行运算。Here Δ is the chip width, f max is the system cut-off frequency, T s is the transition time of the system, and N is the cycle length of the sequence. In order to obtain a better identification effect, the chip width is taken as 0.01s, and the sequence length is taken as 100 points. In the actual identification process, a pseudo-random sequence of several cycles (for example, 3-5 cycles) can be sent to obtain a better identification effect. The receiver can also select the waveform with better effect for calculation.

在对实际的地下介质系统辨识的过程中,为了兼顾高频和低频分辨度以及和移位寄存器个数的矛盾,可以分成几个频段进行。另外,为了提高辨识精度可以提高采样频率,在一个码片宽度内可以采集多个点。In the process of identifying the actual underground medium system, in order to take into account the high-frequency and low-frequency resolution and the contradiction with the number of shift registers, it can be divided into several frequency bands. In addition, in order to improve the identification accuracy, the sampling frequency can be increased, and multiple points can be collected within one chip width.

高斯白噪声是常见的噪声类型,图4(c)是采样频率为1kHz,10000个采样点的高斯白噪声,噪声的标准差为1。图4(a)是发送电极发出的伪随机m序列电流信号,图4(b)是发送电极发出的伪随机逆重复m序列电流信号,图5和图6分别是用m序列和逆重复m序列相关辨识的结果。可以看到,经过相关辨识以后,随机噪声对辨识得到的冲激响应影响很小,而且,采用逆重复m序列辨识效果更好。Gaussian white noise is a common type of noise. Figure 4(c) is Gaussian white noise with a sampling frequency of 1kHz and 10,000 sampling points, and the standard deviation of the noise is 1. Figure 4(a) is the pseudo-random m-sequence current signal sent by the sending electrode, and Figure 4(b) is the pseudo-random reverse repetition m-sequence current signal sent by the sending electrode. The result of serial correlation identification. It can be seen that after correlation identification, the impact of random noise on the impulse response obtained by identification is very small, and the identification effect is better by using the reverse repeated m-sequence.

考虑去除观测系统的影响。图8是待辨识的典型二阶系统的实际冲激响应、反卷积前后的冲激响应的对比,可以看到,利用反卷积去除观测系统的影响以后的结果(白色的实线)更接近实际系统的冲激响应(红色的+字线),两者基本重合,而没有经过反卷积的结果(绿色的菱形曲线)则与实际系统相差较大。Consider removing the influence of the observation system. Figure 8 is a comparison of the actual impulse response of a typical second-order system to be identified and the impulse response before and after deconvolution. It can be seen that the result after using deconvolution to remove the influence of the observation system (white solid line) is better It is close to the impulse response of the actual system (red + word line), the two basically coincide, but the result without deconvolution (green diamond curve) is quite different from the actual system.

这样得到的冲激响应经过傅里叶变换变到频域,就是He(ω)。利用(8)式得到复电阻率谱ρ(ω)。The impulse response obtained in this way is transformed into the frequency domain through Fourier transform, which is He (ω). Use formula (8) to get the complex resistivity spectrum ρ(ω).

对于一个双科尔-科尔模型系统(以乘积形式为例),假定设定的参数分别为ρ0=25,m1=0.1,c1=0.12,τ1=1,m2=0.67,c2=0.95,τ2=0.01,加入了标准差为1V的高斯白噪声,相关辨识结果复电阻率谱ρ(ω)可以表示成幅度谱(见图10)和相位谱(见图11)。辨识后的结果(白色+字线)只取了正频率部分。可以看到辨识效果较好,基本和实际系统谱重合。For a double Cole-Cole model system (taking the product form as an example), it is assumed that the set parameters are ρ 0 =25, m 1 =0.1, c 1 =0.12, τ 1 =1, m 2 =0.67, c 2 =0.95, τ 2 =0.01, Gaussian white noise with a standard deviation of 1V is added, and the correlation identification result complex resistivity spectrum ρ(ω) can be expressed as amplitude spectrum (see Figure 10) and phase spectrum (see Figure 11) . The result after identification (white + word line) only takes the positive frequency part. It can be seen that the identification effect is good, and basically coincides with the actual system spectrum.

采用经典的反演拟合方法阻尼最小二乘法对得到的复电阻率谱进行拟合,可以得到ρ0,m1,c1,τ1,m2,c2,τ2共7个激电和电磁参数,参见式(11)。 Using the classical inversion fitting method damped least squares method to fit the obtained complex resistivity spectrum, we can get seven IP and electromagnetic parameters, see formula (11).

采用阻尼最小二乘法进行拟合时初值的选取是非常关键的,初值选择不当可能会造成不收敛的情况,因而得不到需要的结果。对双科尔-科尔模型进行拟合共有7个待定参数,参数多拟合更不容易得到理想的效果,因此选择合适的初值就显得更加关键。这里详细说明初值的选择方法。The selection of the initial value is very critical when the damped least squares method is used for fitting. Improper selection of the initial value may cause non-convergence, so the desired result cannot be obtained. There are 7 undetermined parameters in the fitting of the double Cole-Cole model, and it is not easy to obtain ideal results by fitting multiple parameters, so it is more critical to choose an appropriate initial value. Here is a detailed description of the selection method of the initial value.

首先,这几个参数是有取值范围的:c1的取值范围在0.1-0.6之间,c2的取值范围为0.9-1.0,m1、m2的取值范围在0-0.98之间,而且m1<m2,τ1>>τ2。而零频电阻率的值ρ0就是幅度或者实部的低频渐近线的值。First of all, these parameters have value ranges: the value range of c 1 is between 0.1-0.6, the value range of c 2 is 0.9-1.0, and the value range of m 1 and m 2 is 0-0.98 Between, and m 1 <m 2 , τ 1 >>τ 2 . And the value ρ 0 of the zero-frequency resistivity is the value of the low-frequency asymptote of the amplitude or real part.

τ2也很容易得到。在高频段电磁耦合占绝对优势的时候,虚分量有个峰值,这个峰值频率就对应电磁耦合效应的时间常数τ2。再根据τ1>>τ2可以估计τ1τ 2 is also easy to obtain. When the electromagnetic coupling in the high frequency band is absolutely dominant, the imaginary component has a peak value, and this peak frequency corresponds to the time constant τ 2 of the electromagnetic coupling effect. Then τ 1 can be estimated according to τ 1 >>τ 2 .

m1、c1和m2、c2的变化范围都不大,因此在它们的取值范围内取个估计值就可以了,比如m1=0.25、c1=0.25、m2=0.75、c2=1。m 1 , c 1 , and m 2 , c 2 do not have a large variation range, so it is enough to take an estimated value within their value range, such as m 1 =0.25, c 1 =0.25, m 2 =0.75, c 2 =1.

另外,为了防止迭代过程中因为修改步长太大导致最后的迭代结果不在参数的有效范围内,甚至出现负值,在程序中可以预先设定ρ0、m1、c1、τ1、m2、c2、τ2七个参数的取值范围,既可以加快迭代拟合的速度又可以确保拟合的准确性。In addition, in order to prevent the final iterative result from being out of the valid range of the parameters or even having negative values due to the modification step being too large during the iterative process, ρ 0 , m 1 , c 1 , τ 1 , and m can be preset in the program 2. The value ranges of the seven parameters c 2 and τ 2 can not only speed up the speed of iterative fitting, but also ensure the accuracy of fitting.

图12和13是对一个双科尔-科尔模型(参数设定为ρ0=25,m1=0.1,c1=0.12,τ1=0.1,m2=0.67,c2=0.95,τ2=0.003)的拟合结果,迭代8次便达到了设定的误差门限要求。实践证明,这种方法是行之有效的。Figures 12 and 13 are for a dual Cole-Cole model (parameters set to ρ 0 =25, m 1 =0.1, c 1 =0.12, τ 1 =0.1, m 2 =0.67, c 2 =0.95, τ 2 =0.003), the fitting result reaches the set error threshold requirement after 8 iterations. Practice has proved that this method is effective.

上述过程是对一个测点得到该测点的视谱参数的情况。为了得到目标极化体的真谱参数和几何分布,需要进行多点观测。多极距观测方式是一种高密度的几何测深方式,这种工作方式如图9所示,在一个供电点一次供电,就可以接收到不同深度的不同频率的电场响应。AB是发送电极,M1N1是第一对接收电极,N1M3(即为M2N2)是第二对接收电极,M3N3是第三对接收电极。利用(8)式得到不同测点也就是不同极距下的复电阻率谱,再利用阻尼最小二乘法反演拟合得到7个视谱参数,然后再利用联合反演方法得到真谱参数和几何分布,或者是由这7个视谱参数得到6个激电、电磁参数的拟断面图,表示地电构造沿剖面和随深度的变化。The above-mentioned process is for a measuring point to obtain the sight spectrum parameters of the measuring point. In order to obtain the true spectral parameters and geometric distribution of the target polaroid, multi-point observations are required. The multi-pole distance observation method is a high-density geometric sounding method. This working method is shown in Figure 9. One power supply point can receive electric field responses at different depths and at different frequencies. AB is the sending electrode, M 1 N 1 is the first pair of receiving electrodes, N 1 M 3 (that is, M 2 N 2 ) is the second pair of receiving electrodes, and M 3 N 3 is the third pair of receiving electrodes. Using formula (8) to obtain the complex resistivity spectra at different measuring points, that is, under different polar distances, and then use the damped least squares method to invert and fit to obtain 7 spectral parameters, and then use the joint inversion method to obtain the true spectral parameters and Geometric distribution, or the quasi-sectional diagram of 6 IP and electromagnetic parameters obtained from these 7 spectral parameters, represents the change of geoelectric structure along the section and with depth.

图14和图15分别示出了根据本发明的电法勘探装置中发送机和接收机的示意图。要注意的是,这两图仅是通过功能模块的方式示出了其中的主要模块,并不表示具体的物理结构模块。Fig. 14 and Fig. 15 respectively show schematic diagrams of a transmitter and a receiver in an electrical surveying device according to the present invention. It should be noted that these two figures only show the main modules in the form of functional modules, and do not represent specific physical structural modules.

在图14中,GPS模块(1)通过串口向伪随机信号发生器(2)传递授时同步信息,伪随机信号发生器(2)可根据需要输出不同阶数、不同频率的m序列或者逆重复m序列,配置LCD用于显示发射机信号类型、参数及状态,同时伪随机信号发生器(2)完成数据信息的存储,并控制驱动及保护模块(3)。驱动及保护模块(3)中驱动电路用于将产生的伪随机序列驱动IPM(5)工作,保护电路用于保护整个系统的安全。温度控制系统(4)时刻监测发射机内部的温度,当超过预定值后复位机器甚至关闭机器。IPM(5)将输出信号转换成用于电法勘探的电流信号并向发送电极AB(6)输送电流。供电模块(7)为板卡提供低压电源,并为IPM(5)提供所需高压。In Figure 14, the GPS module (1) transmits timing synchronization information to the pseudo-random signal generator (2) through the serial port, and the pseudo-random signal generator (2) can output m-sequences or inverse repetitions of different orders and frequencies as required m sequence, LCD is used to display the signal type, parameters and status of the transmitter, while the pseudo-random signal generator (2) completes the storage of data information, and controls the drive and protection module (3). The drive circuit in the drive and protection module (3) is used to drive the generated pseudo-random sequence to drive the IPM (5), and the protection circuit is used to protect the safety of the entire system. The temperature control system (4) monitors the temperature inside the transmitter at all times, and resets the machine or even shuts down the machine when it exceeds a predetermined value. The IPM (5) converts the output signal into a current signal for electrical exploration and sends current to the sending electrode AB (6). The power supply module (7) provides a low-voltage power supply for the board, and provides the required high voltage for the IPM (5).

在图15中,GPS模块(8)通过串口向伪随机信号发生器(9)传递授时同步信息,实现精准同步并且和发送机的伪随机序列保持精确同相,伪随机信号发生器(9)可根据需要输出与发送机相同阶数、相同频率的m序列。接收电极MN(10)接收通过地下介质传来的电位差,然后经过前置放大模块(11)将接收到的电磁信号进行初步的放大,并经过滤波及陷波模块(12)滤除高频噪声及系统的工频噪声,再通过精密放大模块(13)将滤除噪声的信号进行低噪精密放大。自相关器(14)实现伪随机信号的自相关运算。互相关器(15)实现伪随机信号和接收信号的互相关运算。自相关器(14)实现伪随机信号的自相关运算;互相关器(15)实现伪随机信号和接收信号的互相关运算;经过第一反卷积器(16)得到总的冲激响应,第二反卷积器(17)去除观测系统影响处理后获得大地系统冲激响应,FFT变换器(18)对大地冲激响应进行处理可获得大地系统的频率响应,大地系统频率响应经过复电阻率谱生成器(19)得到大地系统的复电阻率谱,拟合器(20)依据科尔-科尔模型拟合可以获得视谱参数,反演器(21)进行联合反演获得的真谱参数,从而获得地球物理有用的参数信息,并可以进行实时数据图形显示及存储。In Figure 15, the GPS module (8) transmits timing synchronization information to the pseudo-random signal generator (9) through the serial port to achieve precise synchronization and maintain accurate phase with the pseudo-random sequence of the transmitter. The pseudo-random signal generator (9) can Output the m-sequence with the same order and frequency as the transmitter as required. The receiving electrode MN (10) receives the potential difference transmitted through the underground medium, and then pre-amplifies the received electromagnetic signal through the pre-amplification module (11), and filters out the high frequency through the filter and notch module (12) Noise and power frequency noise of the system, and then the noise-filtered signal is amplified with low noise and precision through the precision amplification module (13). The autocorrelator (14) realizes the autocorrelation operation of the pseudo-random signal. The cross-correlator (15) realizes the cross-correlation operation between the pseudo-random signal and the received signal. The autocorrelator (14) realizes the autocorrelation operation of the pseudo-random signal; the cross-correlator (15) realizes the cross-correlation operation of the pseudo-random signal and the received signal; the total impulse response is obtained through the first deconvolution device (16), The second deconvolver (17) removes the influence of the observation system to obtain the earth system impulse response, and the FFT converter (18) processes the earth impulse response to obtain the frequency response of the earth system. The frequency response of the earth system passes through the complex resistance The rate spectrum generator (19) obtains the complex resistivity spectrum of the earth system, the fitter (20) can obtain the view spectrum parameters according to the Cole-Cole model fitting, and the true Spectral parameters, so as to obtain useful geophysical parameter information, and real-time data graphics display and storage.

Claims (4)

1. sending and receiving machine that is used for resistivity prospecting, it is characterized in that described sending and receiving machine comprises global position system GPS (Global Positioning System) module (1), pseudo random signal midwifery device (2), driving and protection module (3), Intelligent Power Module IPM (Intelligent Power Modules) (5), temperature control modules (4) and supply module (7) and sending and receiving electrode A B(6);
Wherein, GPS module (1) is transmitted the time service synchronizing information by serial ports to pseudo random signal midwifery device (2), finishes the storage of data message, and control drives and protection module (3); Drive and protection module (3) driving IPM(5) work, holding circuit is for the protection of the safety of total system; Temperature control system (4) monitoring is received and is penetrated the machine temperature inside, and machine or closing machine reset after surpassing predetermined value; IPM(5) output signal is converted to for the current signal of resistivity prospecting and to sending and receiving electrode A B(6) the conveying electric current; Supply module (7) is for integrated circuit board provides low-tension supply, and is IPM(5) required high pressure is provided.
2. the sending and receiving machine for resistivity prospecting according to claim 1, it is characterized in that pseudo random signal midwifery device (2) is further exported the m sequence of different rank, different frequency as required or against Repeated m-Sequences, collocating LCD is used for showing machine signal type, parameter and the state penetrated of receiving.
3. a receiver that is used for resistivity prospecting is characterized in that described receiver comprises GPS module (8), pseudo random signal midwifery device (9), receiving electrode MN(10), pre-amplifying module (11), filtering and trap module (12), accurate amplification module (13), autocorrelator (14), cross-correlator (15), the first deconvolution device (16), the second deconvolution device (17), FFT transducer (18), complex resistivity spectrum maker (19), match device (20), inverter (21);
Wherein, GPS module (8) is transmitted the time service synchronizing information by serial ports to pseudo random signal midwifery device (9), realize precisely synchronously and and the pseudo-random sequence of sending and receiving machine keep accurate homophase, pseudo random signal midwifery device (9) is exported the pseudo-random sequence of identical exponent number with the sending and receiving machine, same frequency as required; Receiving electrode MN(10) receives the potential difference (PD) that transmits by underground medium, pass through pre-amplifying module (11) then the electromagnetic signal that receives is carried out preliminary amplification, and involve the industrial frequency noise of trap module (12) filter away high frequency noise and system after filtration, by accurate amplification module (13) signal of filtering noise is carried out again that low noise is accurate amplifies; Autocorrelator (14) is realized the auto-correlation computation of pseudo random signal; Cross-correlator (15) is realized pseudo random signal and is received the computing cross-correlation of signal; Obtain total impulse response through the first deconvolution device (16), the second deconvolution device (17) is removed the recording geometry influence and is handled back acquisition the earth system impulse response, FFT transducer (18) is handled the frequency response that obtains the earth system to the earth impulse response, the earth system frequency response obtains the complex resistivity spectrum of the earth system through complex resistivity spectrum maker (19), match device (20) obtains the sight-reading parameter according to two Coles-Cole's model match, inverter (21) carries out joint inversion and obtains true spectrum parameter, thereby obtain geophysical parameters information, and carry out the demonstration of real time data figure and storage.
4. a resistivity prospecting system is characterized in that comprising sending and receiving machine as claimed in claim 1 or 2 and receiver as claimed in claim 3.
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CN104811146A (en) * 2015-04-15 2015-07-29 西安电子科技大学 Anti-aberration frequency doubling interference locking amplification system based on reverse repeated m sequences
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CN105259584A (en) * 2015-10-26 2016-01-20 中国石油天然气集团公司 Water area electric prospecting system
CN106059684A (en) * 2016-07-14 2016-10-26 中国地质大学(北京) Relevant identification-based noise processing system and method
CN110031901A (en) * 2019-03-20 2019-07-19 武汉捷探科技有限公司 One kind deepening electric prospecting system and a kind of investigation method
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CN112882105A (en) * 2021-01-13 2021-06-01 廊坊市立福地质勘查技术有限公司 Self-synchronizing method for receiving rectangular wave periodic signal
CN112882105B (en) * 2021-01-13 2022-09-13 廊坊市立福地质勘查技术有限公司 Self-synchronizing method for receiving rectangular wave periodic signals
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