CN111399012A - A method for monitoring reservoir water level using GNSS three-frequency phase combination data - Google Patents
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Abstract
Description
技术领域technical field
本发明涉及一种监测水库水位的方法,尤其适用于防洪抗旱中使用的利用水库大坝变形监测系统的GNSS数据进行水库水位监测的方法。The invention relates to a method for monitoring the water level of a reservoir, and is particularly suitable for a method for monitoring the water level of a reservoir by utilizing the GNSS data of a deformation monitoring system of a reservoir dam used in flood control and drought resistance.
背景技术Background technique
水是人类赖以生存的宝贵自然资源,同时也是灾害源。合理地存贮、利用、监测水资源变化是经济、生态可持续发展的重要保证。水库作为重要的水利基础设施,在水运交通、水力发电、防洪抗旱、生态环境等方面发挥着至关重要的作用,其安全与否直接影响到下游人民的生命财产安全。目前,传统的水库水位监测一般是采用人工水尺测量,或是超声波测量。人工方法存在一定的局限性:不能实现连续观测,观测时空分辨率不高,特别是在暴雨汛期,观测受限且存在安全隐患。超声波及其他手段通常需要建立一整套监测系统,监测成本较高。国内许多库区和大坝都建立了GNSS形变监测系统,水库大坝变形监测GNSS观测系统的测站通常设置在大坝外观或临近水域的高边坡,这为我们利用GNSS-Interferometric Reflectometry(GNSS-IR)测量水库水面高度的变化提供了可能。已有的GNSS监测系统在进行大坝形变监测的同时还可以成为一种无需投入额外监测成本的水库水位监测手段。Water is a precious natural resource that human beings rely on, and it is also a source of disasters. Reasonable storage, utilization and monitoring of changes in water resources are important guarantees for sustainable economic and ecological development. As an important water conservancy infrastructure, reservoirs play a vital role in water transportation, hydropower generation, flood control and drought relief, and ecological environment. Their safety directly affects the safety of life and property of downstream people. At present, traditional reservoir water level monitoring is generally measured by artificial water gauge or ultrasonic measurement. The artificial method has certain limitations: continuous observation cannot be achieved, and the spatial and temporal resolution of the observation is not high, especially in the rainstorm and flood season, the observation is limited and there are potential safety hazards. Ultrasound and other means usually require the establishment of a complete monitoring system, and the monitoring cost is relatively high. Many domestic reservoir areas and dams have established GNSS deformation monitoring systems. The stations of the GNSS observation system for reservoir dam deformation monitoring are usually set on the exterior of the dam or on high slopes near the water. -IR) provides the possibility to measure the change of reservoir water level. The existing GNSS monitoring system can also become a reservoir water level monitoring method without additional monitoring cost while monitoring the dam deformation.
发明内容SUMMARY OF THE INVENTION
针对上述技术的不足之处,提供一种步骤简单,检测效果好,能够解决目前现有水库水位监测方式存在的问题和不足,经济性好的利用GNSS三频相位组合数据监测水库水位的方法。Aiming at the shortcomings of the above technologies, a method for monitoring the water level of a reservoir using GNSS three-frequency phase combination data is provided with simple steps and good detection effect, which can solve the problems and deficiencies of the existing reservoir water level monitoring methods and is economical.
为实现上述技术目的,本发明的一种利用GNSS三频相位组合数据监测水库水位的方法,在水坝的高边坡位置设置有接收GNSS信号的接收机及天线,其于步骤为:通过架设的水库大坝高坡临水面的GNSS变形监测接收机数据,利用三频相位组合获取干涉信号,提取三个载波信号,通过消除几何距离和电离层延迟的组合方式,获取干涉时序信号,利用小波分析进行谱分析获取干涉信号的主频率,将时序信号与卫星高度角一一对应,形成以卫星高度角为变量的时序信号,并对该非等间隔信号进行频谱分析,获取主频率,建立主频率和已知水库水位的模型,并通过模型获取实时水库水位。In order to achieve the above-mentioned technical purpose, a method for monitoring the water level of a reservoir using GNSS three-frequency phase combination data of the present invention is provided with a receiver and an antenna for receiving GNSS signals at the high slope position of the dam, and the steps are: For the GNSS deformation monitoring receiver data on the high-slope water surface of the reservoir dam, the interference signal is obtained by three-frequency phase combination, and three carrier signals are extracted. Perform spectral analysis to obtain the main frequency of the interference signal, and correspond the time series signal with the satellite altitude angle one-to-one to form a time series signal with the satellite altitude angle as a variable, and perform spectrum analysis on the unequally spaced signal to obtain the main frequency and establish the main frequency. And the model of the known reservoir water level, and obtain the real-time reservoir water level through the model.
具体的:specific:
a首先从卫星观测值中提取三频相位观测数据及卫星高度角;a First, extract the three-frequency phase observation data and the satellite elevation angle from the satellite observations;
b利用除几何距离因素和电离层影响的方式将三频相位观测数据组成三频相位组合观测值,具体利用公式: 计算出三频相位组合观测值M1,2,5(t),式中λ1=0.1902937m是GPS的L1信号波长,λ2=0.2442102m是GPS的L2信号波长,λ5=0.2548280m是GPS的L5信号波长;相位为相位观测值;m为单位米;b. The three-frequency phase observation data is composed of three-frequency phase combined observations by dividing the geometric distance factor and the ionospheric influence, and the specific formula is: Calculate the three-frequency phase combination observation value M 1,2,5 (t), where λ 1 =0.1902937m is the L1 signal wavelength of GPS, λ 2 =0.2442102m is the GPS L2 signal wavelength, λ 5 =0.2548280m is L5 signal wavelength of GPS; phase is the phase observation value; m is the unit meter;
c将以时间为变量的三频相位组合观测值M1,2,5(t)序列替换为时间对应的卫星高度角的正弦为变量的序列M1,2,5(sinθ);c Replace the sequence of three-frequency phase combination observations M 1,2,5 (t) with time as a variable with a sequence M 1,2,5 (sinθ) of the sine of the satellite elevation angle corresponding to time as a variable;
d采用小波变换对三频相位组合观测值M1,2,5(sinθ)进行频谱分析,,通过频谱分析获取三频相位组合观测值M1,2,5(sinθ)的主频率;d. Use wavelet transform to perform spectrum analysis on the three-frequency phase combination observation value M 1,2,5 (sinθ), and obtain the main frequency of the three-frequency phase combination observation value M 1,2,5 (sinθ) through the spectrum analysis;
e利用三频相位组合观测值M1,2,5(sinθ)的主频率与已知的水库水位高度建立线性模型,利用此模型获取接收机天线相位中心到水库水面的垂直高度;e Use the main frequency of the three-frequency phase combination observation value M 1,2,5 (sinθ) and the known reservoir water level to establish a linear model, and use this model to obtain the vertical height from the receiver antenna phase center to the reservoir water surface;
f利用垂直高度与标准水面高度差值获取水库水位高度。f Use the difference between the vertical height and the standard water surface height to obtain the water level of the reservoir.
将水面看作是镜面反射,反射信号来自于镜像点SP,反射信号与直射信号的叠加信号,即干涉信号相对于直射信号的路径延迟为与水面距离接收机天线相位中心的垂直高度h相关;The water surface is regarded as a specular reflection, the reflected signal comes from the mirror point SP, the superimposed signal of the reflected signal and the direct signal, that is, the path delay of the interference signal relative to the direct signal is related to the vertical height h of the water surface from the receiver antenna phase center;
GNSS接收机接收到的信号表示为直射信号与反射信号的叠加:The signal received by the GNSS receiver is expressed as the superposition of the direct signal and the reflected signal:
其中,叠加信号和直射信号之间的相位差即干涉信号β(t)表示为:in, The phase difference between the superimposed signal and the direct signal, that is, the interference signal β(t), is expressed as:
代表直射信号,代表反射信号,Ad代表直射信号的振幅,Ar代表反射信号的振幅,ω(t)代表直射信号相位,代表反射信号与直射信号的相位差。 represents the direct signal, represents the reflected signal, Ad represents the amplitude of the direct signal, Ar represents the amplitude of the reflected signal, ω( t ) represents the phase of the direct signal, Represents the phase difference between the reflected signal and the direct signal.
利用三频相位组合观测值获取干涉信号β,三频相位组合观测值M1,2,5(t)的组合用以消除信号传播的几何距离以及电离层的影响,令 且κ1=λ1η1,κ2=λ2η2,κ5=λ5η5,The interference signal β is obtained by using the three-frequency phase combination observation value, and the combination of the three-frequency phase combination observation value M 1,2,5 (t) is used to eliminate the geometric distance of signal propagation and the influence of the ionosphere, so that and κ 1 =λ 1 η 1 , κ 2 =λ 2 η 2 , κ 5 =λ 5 η 5 ,
得到三频相位组合观测值表达式: The three-frequency phase combination observation value expression is obtained:
式中,u=κ1N1+κ2N2+κ5N5,λ1为GPS信号的L1载波的波长,λ2为GPS信号的L2载波的波长,λ5为GPS信号的L5载波的波长,N1为L1载波的相位模糊度,N2为L2载波的相位模糊度,N5为L5载波的相位模糊度;In the formula, u=κ 1 N 1 +κ 2 N 2 +κ 5 N 5 , λ 1 is the wavelength of the L1 carrier of the GPS signal, λ 2 is the wavelength of the L2 carrier of the GPS signal, λ 5 is the wavelength of the L5 carrier of the GPS signal, N 1 is the phase ambiguity of the L1 carrier, N 2 is the phase ambiguity of the L2 carrier, and N 5 is the phase ambiguity of the L5 carrier;
导航卫星信号经过电离层,相位延迟为:其中,TEC为传播路径的电子含量,f为卫星信号的频率,延迟大小与信号频率呈反比;三频相位组合观测值M1,2,5(t)为:M1,2,5(t)=M1,2,5 d+M1,2,5 r,其中:The navigation satellite signal passes through the ionosphere, and the phase delay is: Among them, TEC is the electron content of the propagation path, f is the frequency of the satellite signal, and the delay is inversely proportional to the signal frequency; the three-frequency phase combination observation value M 1,2,5 (t) is: M 1,2,5 (t )=M 1,2,5 d +M 1,2,5 r , where:
M1,2,5 r只与卫星高度角、信号波长和天线高度相关;M 1,2,5 r is only related to satellite altitude, signal wavelength and antenna height;
λiψi(t)=di+δi+Δ,i=1,2,5λ i ψ i (t)=d i +δ i +Δ,i=1,2,5
di为卫星与接收机天线相位中心之间的几何距离,δi为电离层延迟,Δ为钟差和噪声;d i is the geometric distance between the satellite and the receiver antenna phase center, δ i is the ionospheric delay, and Δ is the clock error and noise;
由于相位组合的原则为无几何距离和消除电离层,三频相位组合为:Since the principle of phase combination is no geometric distance and elimination of ionosphere, the three-frequency phase combination is:
M1,2,5(t)=M1,2,5 r=κ1β1(t)+κ2β2(t)+κ5β5(t)M 1,2,5 (t)=M 1,2,5 r =κ 1 β 1 (t)+κ 2 β 2 (t)+κ 5 β 5 (t)
线性相位组合的有效波长为:The effective wavelength of the linear phase combination is:
根据频率与水面与接收机天线相位中心之间的垂直高度之间的对应关系,建立线性模型:A linear model is established based on the correspondence between the frequency and the vertical height between the water surface and the receiver antenna phase center:
h=kf+bh=kf+b
h为水面与接收机天线相位中心之间的垂直高度,f为时间序列的主频,k、b为模型系数,利用实际观测值进行k、b为模型系数的确定。h is the vertical height between the water surface and the receiver antenna phase center, f is the main frequency of the time series, k and b are the model coefficients, and k and b are the model coefficients to be determined using the actual observation values.
有益效果:Beneficial effects:
本技术利用已在水库大坝边坡上建设且运行的变形监测系统的观测数据,能够在不增加额外设施和建设成本的基础上,实现对于水库水位的自动监测。利用三频信号高精度的特性,使得利用三频信号进行水库水位反演精度更高,可用数据更多;由于数据及设备是已有的,且大坝上均有安装相关的设备,因此无需额外硬件搭建费用,本方法的具有较高的可用性及经济性;无需人工监测且数据量大,能够实现近实时的水库水位监测。The technology utilizes the observation data of the deformation monitoring system that has been constructed and operated on the slope of the reservoir dam, and can realize the automatic monitoring of the water level of the reservoir without increasing additional facilities and construction costs. The use of the high-precision characteristics of the tri-frequency signal makes the reservoir water level inversion using the tri-frequency signal more accurate and more available data; since the data and equipment are already available, and related equipment is installed on the dam, there is no need to Additional hardware construction costs are required, and the method has high availability and economy; no manual monitoring is required and the amount of data is large, and near real-time reservoir water level monitoring can be realized.
附图说明Description of drawings
图1是本发明利用大坝变形监测GNSS三频相位组合数据进行水库水位监测方法示意图;图2是本发明使用的干涉相位模型。Fig. 1 is a schematic diagram of the method for monitoring the water level of a reservoir by utilizing the GNSS three-frequency phase combination data of dam deformation monitoring according to the present invention; Fig. 2 is an interference phase model used in the present invention.
具体实施方式Detailed ways
下面结合附图对本发明的实施例做进一步说明。The embodiments of the present invention will be further described below with reference to the accompanying drawings.
传统大地接收机天线所接收的信号是由卫星直射信号与水面或地面反射的信号叠加产生的干涉信号,图1为信号干涉的几何图形,因此将水面看作是镜面反射,首先从卫星观测值中提取三频相位观测数据及卫星高度角;反射信号来自于镜像点SP,反射信号与直射信号的叠加信号(即干涉信号)相对于直射信号的路径延迟为与水面距离接收机天线相位中心的垂直高度h相关。The signal received by the traditional earth receiver antenna is the interference signal generated by the superposition of the direct signal from the satellite and the signal reflected from the water surface or the ground. Figure 1 shows the geometric figure of signal interference. Therefore, the water surface is regarded as a specular reflection. The three-frequency phase observation data and the satellite elevation angle are extracted from the three-frequency phase observation data; the reflected signal comes from the mirror point SP, and the path delay of the superimposed signal (ie the interference signal) of the reflected signal and the direct signal relative to the direct signal is the distance from the water surface to the receiver antenna phase center. The vertical height h is related.
图2为干涉信号的相位关系,横坐标为信号的同相分量,纵坐标为信号的正交分量。代表直射信号,代表反射信号,β代表叠加信号和直射信号之间的相位差。Figure 2 shows the phase relationship of the interference signal, the abscissa is the in-phase component of the signal, and the ordinate is the quadrature component of the signal. represents the direct signal, represents the reflected signal, and β represents the phase difference between the superimposed signal and the direct signal.
GNSS接收机接收到的信号为为直射信号与反射信号的叠加:The signal received by the GNSS receiver is the superposition of the direct signal and the reflected signal:
其中, in,
βi(t)是由于来自水面反射信号干扰而产生的干涉相位。β i (t) is the interference phase due to the interference of the reflected signal from the water surface.
然后利用三频相位组合观测值获取干涉信号β,具体的:三频相位组合观测值M1,2,5(t)的组合用以消除信号传播的几何距离以及电离层的影响,令 且κ1=λ1η1,κ2=λ2η2,κ5=λ5η5,三频相位组合观测值M1,2,5(t)的组合原则是消除信号传播的几何距离以及电离层的影响,就可以得到以下表达式:Then use the three-frequency phase combination observation value to obtain the interference signal β, specifically: the combination of the three-frequency phase combination observation value M 1,2,5 (t) is used to eliminate the geometric distance of signal propagation and the influence of the ionosphere, so that And κ 1 =λ 1 η 1 , κ 2 =λ 2 η 2 , κ 5 =λ 5 η 5 , the combination principle of the three-frequency phase combination observation value M 1,2,5 (t) is to eliminate the geometric distance of signal propagation and the influence of the ionosphere, the following expression can be obtained:
其中,βi(t)由于来自水面反射信号干扰而产生的干涉信号,其它参数表达如下:in, β i (t) is the interference signal due to the interference of the reflected signal from the water surface, and other parameters are expressed as follows:
u=κ1N1+κ2N2+κ5N5 u=κ 1 N 1 +κ 2 N 2 +κ 5 N 5
导航卫星信号经过电离层,相位延迟为:The navigation satellite signal passes through the ionosphere, and the phase delay is:
其中,TEC为传播路径的电子含量,f为卫星信号的频率。延迟大小与信号频率呈反比。三频相位组合观测值M1,2,5(t)为:M1,2,5(t)=M1,2,5 d+M1,2,5 r,where TEC is the electron content of the propagation path, and f is the frequency of the satellite signal. The magnitude of the delay is inversely proportional to the signal frequency. The three-frequency phase combination observation value M 1,2,5 (t) is: M 1,2,5 (t)=M 1,2,5 d +M 1,2,5 r ,
其中,in,
M1,2,5 r只与卫星高度角、信号波长和天线高度相关;M 1,2,5 r is only related to satellite altitude, signal wavelength and antenna height;
λiψi(t)=di+δi+Δ,i=1,2,5λ i ψ i (t)=d i +δ i +Δ,i=1,2,5
di为卫星与接收机天线相位中心之间的几何距离,δi为电离层延迟,Δ为钟差和噪声;d i is the geometric distance between the satellite and the receiver antenna phase center, δ i is the ionospheric delay, and Δ is the clock error and noise;
由于相位组合的原则为无几何距离和消除电离层,三频相位组合表示为:Since the principle of phase combination is no geometric distance and elimination of ionosphere, the three-frequency phase combination is expressed as:
M1,2,5(t)=M1,2,5 r=κ1β1(t)+κ2β2(t)+κ5β5(t)M 1,2,5 (t)=M 1,2,5 r =κ 1 β 1 (t)+κ 2 β 2 (t)+κ 5 β 5 (t)
线性相位组合的有效波长为The effective wavelength of the linear phase combination is
然后选取适合的干涉信号β:Then select a suitable interference signal β:
在低卫星高度角的情况下,反射信号较强,因此在选择干涉信号时,一般选取卫星高度角为10~30度范围内的数据。并根据观测接收机与水库的方位及镜像点的位置,确定方位角的取值范围。In the case of a low satellite altitude angle, the reflected signal is strong, so when selecting the interference signal, generally select the data within the range of the satellite altitude angle of 10 to 30 degrees. And according to the azimuth of the observation receiver and the reservoir and the position of the mirror point, the value range of the azimuth angle is determined.
然后获取干涉信号β的主频率Then obtain the dominant frequency of the interference signal β
对获取的干涉信号转换为以卫星高度角的正弦为变量的时间序列。序列变为非等间隔的序列,利用傅里叶变换获取主频率不再适用。选择小波变换进行时间序列的主频率获取。The acquired interference signal is converted into a time series with the sine of the satellite elevation angle as a variable. The sequence becomes an unequally spaced sequence, and it is no longer applicable to obtain the dominant frequency using the Fourier transform. Select the wavelet transform to obtain the dominant frequency of the time series.
根据频率与天线高度(反射面与接收机天线相位中心之间的垂直高度)之间的对应关系,建立线性模型:A linear model is established based on the correspondence between frequency and antenna height (the vertical height between the reflector and the receiver antenna phase center):
h=kf+bh=kf+b
h为天线高度,f为时间序列的主频,k、b为模型系数,利用实际观测值进行k、b为模型系数的确定。h is the height of the antenna, f is the main frequency of the time series, k and b are the model coefficients, and k and b are the model coefficients to be determined by using the actual observation values.
获取水库水位变化的检测信息Obtain detection information of reservoir water level changes
t1时刻根据所得的干涉信号的时间序列频率,代入线性模型,求得天线高度h1,在t2计算天线高度h2,不同时刻的高度相减就可以获取水库水位的变化,如果得知水库水位基准高度h0,对任意时刻的获取的天线高度hi与基准相减,便可以实时获取水库水位的高度。At t 1 , according to the time series frequency of the obtained interference signal, substitute the linear model to obtain the antenna height h 1 . Calculate the antenna height h 2 at t 2 , and subtract the heights at different times to obtain the change of the reservoir water level. For the reference height h 0 of the reservoir water level, the height of the reservoir water level can be obtained in real time by subtracting the antenna height hi obtained at any time from the reference.
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