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CN111833208A - A groundwater storage monitoring method and system based on vertical line deviation disturbance - Google Patents

A groundwater storage monitoring method and system based on vertical line deviation disturbance Download PDF

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CN111833208A
CN111833208A CN202010673356.7A CN202010673356A CN111833208A CN 111833208 A CN111833208 A CN 111833208A CN 202010673356 A CN202010673356 A CN 202010673356A CN 111833208 A CN111833208 A CN 111833208A
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李超超
刘伟铭
钱学武
沈翔
徐飞
曾凯
兰骧
于亦龙
吕志彬
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Abstract

The invention discloses a method and a system for monitoring underground water reserves based on vertical deviation disturbance. The underground water reserve monitoring method based on vertical deviation disturbance comprises the following steps: acquiring the running speed of a measuring carrier; constructing a vertical deviation disturbance two-order random process optimization model based on the driving speed; the vertical deviation disturbance two-order random process optimization model comprises a two-order random process model and a differentiator; calculating a vertical deviation disturbance component based on a vertical deviation disturbance two-step random process optimization model; the vertical deviation disturbance component comprises a vertical deviation disturbance north-south component and a vertical deviation disturbance east-west component; and obtaining the underground water reserve variation of the area where the measurement carrier is located by inversion of the vertical deviation disturbance component. The invention solves the problem that large-scale and large-scale underground water data cannot be acquired, and improves the monitoring efficiency of underground water reserves.

Description

一种基于垂线偏差扰动的地下水储量监测方法及系统A groundwater storage monitoring method and system based on vertical line deviation disturbance

技术领域technical field

本发明涉及重力测量技术领域,特别是涉及一种基于垂线偏差扰动的地下水储量监测方法及系统。The invention relates to the technical field of gravity measurement, in particular to a groundwater storage monitoring method and system based on vertical line deviation disturbance.

背景技术Background technique

随着社会经济的发展和人口的增长,工农业用水量日益增加,人类使用水资源的供需产生矛盾。地下水已成为我国大中型城市主要供水源。地下水储量对于自然生态平衡和可持续发展有较大影响,开展对地下水的监测具有重要意义。With the development of social economy and population growth, industrial and agricultural water consumption is increasing day by day, and there is a contradiction between the supply and demand of water resources used by human beings. Groundwater has become the main water supply source for large and medium-sized cities in my country. Groundwater storage has a great impact on natural ecological balance and sustainable development, and it is of great significance to carry out monitoring of groundwater.

由于地球表面形状不规则、内部密度不均匀,真实重力与正常重力之间存在差异。该差异的大小表现为重力异常,方向表现为垂线偏差(deflection of the vertical,DOV)。垂线偏差信号可分解为高频和中低频两个部分,中低频部分为地球内部中长波分量,高频部分表现为由地表因素产生的短波长垂线偏差扰动量。垂线偏差是地球重力场的基本观测量,含有丰富的重力场高频信息。垂线偏差可以更好反映重力场的真实信息,在资源勘探、地球物理反演问题、卫星精密轨道、火山观测、地震以及辅助导航等领域有着非常重要的应用。高频重力分量是诸多研究领域所迫切需要的重要信息。因此,获取高分辨率、高精度的高频垂线偏差信息,研究其测量和逼近方法具有重要意义。Due to the irregular shape of the Earth's surface and the uneven density of its interior, there is a difference between true and normal gravity. The magnitude of the difference appears as gravity anomaly, and the direction appears as deflection of the vertical (DOV). The vertical deviation signal can be decomposed into two parts, high frequency and medium and low frequency. The vertical line deviation is the basic observation of the earth's gravitational field, and it contains rich high-frequency information of the gravitational field. The vertical line deviation can better reflect the real information of the gravity field, and has very important applications in the fields of resource exploration, geophysical inversion, satellite precise orbit, volcano observation, earthquake and auxiliary navigation. High-frequency gravity components are important information urgently needed in many research fields. Therefore, it is of great significance to obtain high-resolution and high-precision high-frequency vertical line deviation information, and to study its measurement and approximation methods.

传统地下水储量监测手段大多是通过获取地球表面水资源的固定监测网点数据来实现,该方法会受到监测站点数目和分布的影响,无法获取大规模、大尺度地下水数据,监测效率低。Most of the traditional groundwater storage monitoring methods are realized by obtaining data from fixed monitoring network sites of water resources on the earth's surface. This method is affected by the number and distribution of monitoring sites, and cannot obtain large-scale and large-scale groundwater data, resulting in low monitoring efficiency.

发明内容SUMMARY OF THE INVENTION

基于此,有必要提供一种基于垂线偏差扰动的地下水储量监测方法及系统,解决了无法获取大规模、大尺度地下水数据的问题,提高了地下水储量的监测效率。Based on this, it is necessary to provide a groundwater storage monitoring method and system based on vertical deviation disturbance, which solves the problem of inability to obtain large-scale and large-scale groundwater data and improves the monitoring efficiency of groundwater storage.

为实现上述目的,本发明提供了如下方案:For achieving the above object, the present invention provides the following scheme:

一种基于垂线偏差扰动的地下水储量监测方法,包括:A groundwater storage monitoring method based on vertical line deviation disturbance, comprising:

获取测量载体的行驶速度;Obtain the traveling speed of the measurement carrier;

基于所述行驶速度构建垂线偏差扰动两阶随机过程优化模型;所述垂线偏差扰动两阶随机过程优化模型包括两阶随机过程模型和微分器;所述垂线偏差扰动两阶随机过程优化模型的输出为两阶随机过程模型的输出通过微分器后的输出结果;A vertical line deviation disturbance two-order stochastic process optimization model is constructed based on the travel speed; the vertical line deviation disturbance two-order stochastic process optimization model includes a two-order stochastic process model and a differentiator; the vertical line deviation disturbance two-order stochastic process optimization model The output of the model is the output result after the output of the two-order stochastic process model passes through the differentiator;

基于所述垂线偏差扰动两阶随机过程优化模型计算垂线偏差扰动分量;所述垂线偏差扰动分量包括垂线偏差扰动南北分量和垂线偏差扰动东西分量;Calculate the vertical deviation disturbance component based on the vertical deviation disturbance two-order stochastic process optimization model; the vertical deviation disturbance component includes the vertical deviation disturbance north-south component and the vertical deviation disturbance east-west component;

由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量。The variation of groundwater storage in the area where the measurement carrier is located is obtained by inversion from the vertical deviation disturbance component.

可选的,所述垂线偏差扰动两阶随机过程优化模型为:Optionally, the vertical line deviation disturbance two-order stochastic process optimization model is:

Figure BDA0002583144500000021
Figure BDA0002583144500000021

x1(t)为垂线偏差扰动两阶随机过程优化模型的输出,

Figure BDA0002583144500000022
为x1(t)的一阶导数,
Figure BDA0002583144500000023
为x1(t)的二阶导数,ω0为中心频率,
Figure BDA0002583144500000024
为阻尼系数,
Figure BDA0002583144500000025
为q(t)的一阶导数,q(t)为高斯白噪声,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。x 1 (t) is the output of the two-order stochastic process optimization model perturbed by vertical deviation,
Figure BDA0002583144500000022
is the first derivative of x 1 (t),
Figure BDA0002583144500000023
is the second derivative of x 1 (t), ω 0 is the center frequency,
Figure BDA0002583144500000024
is the damping coefficient,
Figure BDA0002583144500000025
is the first derivative of q(t), q(t) is white Gaussian noise, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.

可选的,所述垂线偏差扰动分量的计算公式为Optionally, the calculation formula of the vertical line deviation disturbance component is:

Figure BDA0002583144500000026
Figure BDA0002583144500000026

Figure BDA0002583144500000027
Figure BDA0002583144500000027

δξ(t)为垂线偏差扰动南北分量,δη(t)为垂线偏差扰动东西分量,xξ(t)为南北方向的中间变量,xη(t)为东西方向的中间变量,xξ(t)的导数为δξ(t),xη(t)的导数为δη(t),qη(t)为东西方向的过程噪声,qξ(t)为南北方向的过程噪声,ω0为中心频率,

Figure BDA0002583144500000028
为阻尼系数,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。δξ(t) is the north-south component of the vertical deviation disturbance, δη(t) is the east-west component of the vertical deviation disturbance, x ξ (t) is the intermediate variable in the north-south direction, x η (t) is the intermediate variable in the east-west direction, x ξ The derivative of (t) is δξ(t), the derivative of x η (t) is δη(t), q η (t) is the process noise in the east-west direction, q ξ (t) is the process noise in the north-south direction, ω 0 is the center frequency,
Figure BDA0002583144500000028
is the damping coefficient, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.

可选的,所述由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量,具体包括:Optionally, the inversion of the variation of groundwater storage in the area where the measurement carrier is located from the vertical line deviation disturbance component specifically includes:

由所述垂线偏差扰动分量反演垂线偏差扰动分量对应的水储量变化量;Inverting the water storage variation corresponding to the vertical deviation disturbance component from the vertical deviation disturbance component;

由所述垂线偏差扰动分量对应的水储量变化量、雪水当量变化量和土壤中水含量变化量计算所述测量载体所处区域的地下水储量变化量。The variation of groundwater storage in the area where the measurement carrier is located is calculated from the variation of water storage, the variation of snow water equivalent and the variation of water content in the soil corresponding to the perturbation component of the vertical line deviation.

可选的,所述地下水储量变化量的计算公式为:Optionally, the calculation formula of the groundwater storage change is:

ΔGN=ΔTNS-ΔSN-ΔSNE;ΔGN=ΔTNS-ΔSN-ΔSNE;

ΔGN为地下水储量变化量,ΔTNS为垂线偏差扰动分量对应的水储量变化量,ΔSN为雪水当量变化量,ΔSNE为土壤中水含量变化量。ΔGN is the change in groundwater storage, ΔTNS is the change in water storage corresponding to the vertical deviation disturbance component, ΔSN is the change in snow water equivalent, and ΔSNE is the change in soil water content.

本发明还提供了一种基于垂线偏差扰动的地下水储量监测系统,包括:The present invention also provides a groundwater storage monitoring system based on vertical deviation disturbance, comprising:

数据获取模块,用于获取测量载体的行驶速度;The data acquisition module is used to acquire the traveling speed of the measurement carrier;

模型构建模块,用于基于所述行驶速度构建垂线偏差扰动两阶随机过程优化模型;所述垂线偏差扰动两阶随机过程优化模型包括两阶随机过程模型和微分器;所述垂线偏差扰动两阶随机过程优化模型的输出为两阶随机过程模型的输出通过微分器后的输出结果;a model building module for constructing a vertical deviation perturbation two-order stochastic process optimization model based on the travel speed; the vertical deviation perturbation two-order stochastic process optimization model includes a two-order stochastic process model and a differentiator; the vertical deviation The output of the perturbed two-order stochastic process optimization model is the output result after the output of the two-order stochastic process model passes through the differentiator;

垂线偏差扰动计算模块,用于基于所述垂线偏差扰动两阶随机过程优化模型计算垂线偏差扰动分量;所述垂线偏差扰动分量包括垂线偏差扰动南北分量和垂线偏差扰动东西分量;The vertical deviation disturbance calculation module is used to calculate the vertical deviation disturbance component based on the vertical deviation disturbance two-order stochastic process optimization model; the vertical deviation disturbance component includes the vertical deviation disturbance north-south component and the vertical deviation disturbance east-west component ;

反演模块,用于由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量。The inversion module is configured to invert the variation of groundwater storage in the area where the measurement carrier is located from the vertical deviation disturbance component.

可选的,所述模型构建模块中的所述垂线偏差扰动两阶随机过程优化模型为:Optionally, the vertical line deviation disturbance two-order stochastic process optimization model in the model building module is:

Figure BDA0002583144500000031
Figure BDA0002583144500000031

x1(t)为垂线偏差扰动两阶随机过程优化模型的输出,

Figure BDA0002583144500000032
为x1(t)的一阶导数,
Figure BDA0002583144500000033
为x1(t)的二阶导数,ω0为中心频率,
Figure BDA0002583144500000034
为阻尼系数,
Figure BDA0002583144500000035
为q(t)的一阶导数,q(t)为高斯白噪声,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。x 1 (t) is the output of the two-order stochastic process optimization model perturbed by vertical deviation,
Figure BDA0002583144500000032
is the first derivative of x 1 (t),
Figure BDA0002583144500000033
is the second derivative of x 1 (t), ω 0 is the center frequency,
Figure BDA0002583144500000034
is the damping coefficient,
Figure BDA0002583144500000035
is the first derivative of q(t), q(t) is white Gaussian noise, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.

可选的,所述垂线偏差扰动计算模块中的所述垂线偏差扰动分量的计算公式为Optionally, the calculation formula of the vertical deviation disturbance component in the vertical deviation disturbance calculation module is:

Figure BDA0002583144500000036
Figure BDA0002583144500000036

Figure BDA0002583144500000037
Figure BDA0002583144500000037

δξ(t)为垂线偏差扰动南北分量,δη(t)为垂线偏差扰动东西分量,xξ(t)为南北方向的中间变量,xη(t)为东西方向的中间变量,xξ(t)的导数为δξ(t),xη(t)的导数为δη(t),qη(t)为东西方向的过程噪声,qξ(t)为南北方向的过程噪声,ω0为中心频率,

Figure BDA0002583144500000041
为阻尼系数,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。δξ(t) is the north-south component of the vertical deviation disturbance, δη(t) is the east-west component of the vertical deviation disturbance, x ξ (t) is the intermediate variable in the north-south direction, x η (t) is the intermediate variable in the east-west direction, x ξ The derivative of (t) is δξ(t), the derivative of x η (t) is δη(t), q η (t) is the process noise in the east-west direction, q ξ (t) is the process noise in the north-south direction, ω 0 is the center frequency,
Figure BDA0002583144500000041
is the damping coefficient, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.

可选的,所述反演模块,具体包括:Optionally, the inversion module specifically includes:

第一反演单元,用于由所述垂线偏差扰动分量反演垂线偏差扰动分量对应的水储量变化量;a first inversion unit, configured to invert the variation of water storage corresponding to the vertical deviation disturbance component from the vertical deviation disturbance component;

计算单元,用于由所述垂线偏差扰动分量对应的水储量变化量、雪水当量变化量和土壤中水含量变化量计算所述测量载体所处区域的地下水储量变化量。A calculation unit, configured to calculate the variation of groundwater storage in the area where the measurement carrier is located from the variation of water storage, the variation of snow water equivalent, and the variation of water content in the soil corresponding to the vertical line deviation disturbance component.

可选的,所述计算单元中的所述地下水储量变化量的计算公式为:Optionally, the calculation formula of the groundwater storage variation in the calculation unit is:

ΔGN=ΔTNS-ΔSN-ΔSNE;ΔGN=ΔTNS-ΔSN-ΔSNE;

ΔGN为地下水储量变化量,ΔTNS为垂线偏差扰动分量对应的水储量变化量,ΔSN为雪水当量变化量,ΔSNE为土壤中水含量变化量。ΔGN is the change in groundwater storage, ΔTNS is the change in water storage corresponding to the vertical deviation disturbance component, ΔSN is the change in snow water equivalent, and ΔSNE is the change in soil water content.

与现有技术相比,本发明的有益效果是:Compared with the prior art, the beneficial effects of the present invention are:

本发明提出了一种基于垂线偏差扰动的地下水储量监测方法及系统,构建包括两阶随机过程模型和微分器的垂线偏差扰动两阶随机过程优化模型;基于垂线偏差扰动两阶随机过程优化模型计算垂线偏差扰动分量,从而反演得到测量载体所处区域的地下水储量变化量。本发明将随机过程模型的输出通过一个微分器,能够减小垂线偏差高频扰动部分在低频区域的增益,这样在微分器的作用下,高频垂线偏差扰动在低频区域内具有更强烈的衰减特性,提高了垂线偏差扰动的逼近精度,解决了无法获取大规模、大尺度地下水数据的问题,从而提高了地下水储量的监测效率。The invention proposes a groundwater storage monitoring method and system based on vertical deviation disturbance, constructs a vertical deviation disturbance two-order stochastic process optimization model including a two-order stochastic process model and a differentiator; The optimization model calculates the perturbation component of vertical line deviation, so as to obtain the variation of groundwater storage in the area where the measurement carrier is located. The present invention passes the output of the random process model through a differentiator, which can reduce the gain of the high-frequency disturbance part of the vertical deviation in the low-frequency region, so that under the action of the differentiator, the high-frequency vertical deviation perturbation has a stronger effect in the low-frequency region. It improves the approximation accuracy of vertical line deviation disturbance, solves the problem of inability to obtain large-scale and large-scale groundwater data, and improves the monitoring efficiency of groundwater storage.

附图说明Description of drawings

为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动性的前提下,还可以根据这些附图获得其他的附图。In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the accompanying drawings required in the embodiments will be briefly introduced below. Obviously, the drawings in the following description are only some of the present invention. In the embodiments, for those of ordinary skill in the art, other drawings can also be obtained according to these drawings without creative labor.

图1为本发明实施例提供的基于垂线偏差扰动的地下水储量监测方法的流程图;1 is a flowchart of a method for monitoring groundwater storage based on vertical line deviation disturbance provided by an embodiment of the present invention;

图2为本发明实施例提供的垂线偏差扰动南北分量的示意图;2 is a schematic diagram of a vertical line deviation perturbing a north-south component provided by an embodiment of the present invention;

图3为本发明实施例提供的垂线偏差扰动东西分量的示意图;3 is a schematic diagram of a vertical line deviation perturbing an east-west component provided by an embodiment of the present invention;

图4为本发明实施例提供的基于垂线偏差扰动的地下水储量监测系统的结构示意图。FIG. 4 is a schematic structural diagram of a groundwater storage monitoring system based on vertical line deviation disturbance provided by an embodiment of the present invention.

具体实施方式Detailed ways

下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.

为使本发明的上述目的、特征和优点能够更加明显易懂,下面结合附图和具体实施方式对本发明作进一步详细的说明。In order to make the above objects, features and advantages of the present invention more clearly understood, the present invention will be described in further detail below with reference to the accompanying drawings and specific embodiments.

地下水的过量开采会引起水量枯竭、地面沉降、海水入侵等问题。传统的下水储量监测手段大多都是通过获取地球表面水资源的固定监测点数据来实现,该方法会受到监测站点数目和分布的影响。地下水储量的变化会引起局部区域质量的变化,地球质量分布的变化将导致地球引力场的变化。垂线偏差扰动为重力场高频分量,垂线偏差扰动和地下水储量具有强关联性。因此,可由垂线偏差扰动反演地下水储量。该方法可以高效率的监测地下水位,解决了无法获取大规模、大尺度地下水数据的问题。Excessive exploitation of groundwater can cause problems such as water depletion, land subsidence, and seawater intrusion. Most of the traditional groundwater storage monitoring methods are realized by acquiring the data of fixed monitoring points of water resources on the earth's surface, which will be affected by the number and distribution of monitoring stations. Changes in groundwater storage will cause changes in local area mass, and changes in Earth's mass distribution will lead to changes in the Earth's gravitational field. The vertical deviation disturbance is the high frequency component of the gravity field, and the vertical deviation disturbance has a strong correlation with groundwater storage. Therefore, groundwater storage can be inverted by perturbation of vertical line deviation. This method can efficiently monitor the groundwater level and solve the problem that large-scale and large-scale groundwater data cannot be obtained.

两阶随机过程模型可以写为:

Figure BDA0002583144500000051
其功率谱密度在低频区域的增益较大致使高频垂线偏差扰动的模型与相关误差存在严重的耦合现象。为了抑制该耦合效应,使短波垂线偏差扰动模型的功率谱密度在低频区域内具有强的衰减特性,减小低频增益,本实施例将两阶随机过程模型的输出x(t)通过一个微分器,得到随机过程x1(t)。这样减小了垂线偏差高频扰动部分在低频区域的增益。在微分器的作用下,高频垂线偏差扰动在低频区域内具有更强烈的衰减特性,提高了垂线偏差扰动的逼近精度。The two-order stochastic process model can be written as:
Figure BDA0002583144500000051
The gain of its power spectral density in the low-frequency region is large, which leads to a serious coupling phenomenon between the model perturbed by the high-frequency vertical line deviation and the related errors. In order to suppress the coupling effect, make the power spectral density of the short-wave vertical line deviation disturbance model have strong attenuation characteristics in the low-frequency region, and reduce the low-frequency gain, in this embodiment, the output x(t) of the two-order stochastic process model is passed through a differential , to obtain a random process x 1 (t). This reduces the gain of the high frequency disturbance part of the vertical deviation in the low frequency region. Under the action of the differentiator, the high frequency vertical deviation disturbance has stronger attenuation characteristics in the low frequency region, which improves the approximation accuracy of the vertical deviation disturbance.

图1为本发明实施例提供的基于垂线偏差扰动的地下水储量监测方法的流程图。参见图1,本实施例中的基于垂线偏差扰动的地下水储量监测方法,包括:FIG. 1 is a flowchart of a groundwater storage monitoring method based on vertical line deviation disturbance provided by an embodiment of the present invention. Referring to Fig. 1, the groundwater storage monitoring method based on vertical deviation disturbance in this embodiment includes:

步骤101:获取测量载体的行驶速度。所述测量载体为测量车或测量船。Step 101: Obtain the traveling speed of the measurement carrier. The measurement carrier is a measurement vehicle or a measurement ship.

步骤102:基于所述行驶速度构建垂线偏差扰动两阶随机过程优化模型;所述垂线偏差扰动两阶随机过程优化模型包括两阶随机过程模型和微分器。Step 102 : constructing a vertical deviation perturbation two-order stochastic process optimization model based on the traveling speed; the vertical deviation perturbation two-order stochastic process optimization model includes a two-order stochastic process model and a differentiator.

所述垂线偏差扰动两阶随机过程优化模型的输出为两阶随机过程模型的输出通过微分器后的输出结果。The output of the vertical line deviation disturbance two-order stochastic process optimization model is the output result after the output of the two-order stochastic process model passes through the differentiator.

步骤103:基于所述垂线偏差扰动两阶随机过程优化模型计算垂线偏差扰动分量;所述垂线偏差扰动分量包括垂线偏差扰动南北分量和垂线偏差扰动东西分量。Step 103: Calculate the vertical deviation disturbance component based on the vertical deviation disturbance two-order stochastic process optimization model; the vertical deviation disturbance component includes the vertical deviation disturbance north-south component and the vertical deviation disturbance east-west component.

步骤104:由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量。Step 104: Inverting the variation of groundwater storage in the area where the measurement carrier is located from the vertical deviation disturbance component.

其中,步骤102中,两阶随机过程模型为:Wherein, in step 102, the two-order stochastic process model is:

Figure BDA0002583144500000061
Figure BDA0002583144500000061

垂线偏差扰动两阶随机过程的微分方程为:The differential equation of the vertical deviation perturbation two-order stochastic process is:

Figure BDA0002583144500000062
Figure BDA0002583144500000062

将上述垂线偏差扰动两阶随机过程的微分方程简化可得:Simplifying the differential equation of the above-mentioned vertical line deviation perturbation two-order stochastic process can be obtained:

Figure BDA0002583144500000063
Figure BDA0002583144500000063

简化后的垂线偏差扰动两阶随机过程的微分方程即为垂线偏差扰动两阶随机过程优化模型。其中,x(t)为两阶随机过程模型,

Figure BDA0002583144500000064
为x(t)的一阶导数,
Figure BDA0002583144500000065
为x(t)的二阶导数,x1(t)为垂线偏差扰动两阶随机过程优化模型的输出,
Figure BDA0002583144500000066
为x1(t)的一阶导数,
Figure BDA0002583144500000067
为x1(t)的二阶导数,ω0为中心频率,
Figure BDA0002583144500000068
为阻尼系数,
Figure BDA0002583144500000069
为q(t)的一阶导数,q(t)为高斯白噪声,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。
Figure BDA00025831445000000610
和q(t)可以由行驶速度和测量环境条件确定。The simplified differential equation of the two-order stochastic process perturbed by vertical deviation is the optimization model of the two-order stochastic process perturbed by vertical deviation. where x(t) is a two-order stochastic process model,
Figure BDA0002583144500000064
is the first derivative of x(t),
Figure BDA0002583144500000065
is the second derivative of x(t), x 1 (t) is the output of the optimization model of the vertical deviation perturbation two-order stochastic process,
Figure BDA0002583144500000066
is the first derivative of x 1 (t),
Figure BDA0002583144500000067
is the second derivative of x 1 (t), ω 0 is the center frequency,
Figure BDA0002583144500000068
is the damping coefficient,
Figure BDA0002583144500000069
is the first derivative of q(t), q(t) is white Gaussian noise, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.
Figure BDA00025831445000000610
and q(t) can be determined from the driving speed and the measured environmental conditions.

为了便于后续计算,可以将垂线偏差扰动两阶随机过程优化模型写成状态方程形式:In order to facilitate subsequent calculations, the vertical line deviation disturbance two-order stochastic process optimization model can be written in the form of state equation:

Figure BDA0002583144500000071
Figure BDA0002583144500000071

其中,步骤103中,所述垂线偏差扰动分量的计算公式为Wherein, in step 103, the calculation formula of the vertical deviation disturbance component is:

Figure BDA0002583144500000072
Figure BDA0002583144500000072

Figure BDA0002583144500000073
Figure BDA0002583144500000073

δξ(t)为垂线偏差扰动南北分量(垂线偏差扰动在子午面上的分量,也称为垂线偏差扰动子午分量),δη(t)为垂线偏差扰动东西分量(垂线偏差扰动在卯酉面上的分量,也称为垂线偏差扰动卯酉分量),xξ(t)为南北方向的中间变量,xη(t)为东西方向的中间变量,xξ(t)的导数为δξ(t),xη(t)的导数为δη(t),qη(t)为东西方向的过程噪声,qξ(t)为南北方向的过程噪声,ω0为中心频率,

Figure BDA0002583144500000074
为阻尼系数,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。δξ(t) is the north-south component of the vertical deviation disturbance (the component of the vertical deviation disturbance on the meridian plane, also known as the vertical deviation disturbance meridian component), and δη(t) is the east-west component of the vertical deviation disturbance (the vertical deviation disturbance The component on the 卯寉 plane, also known as the vertical deviation disturbance 卯寉 component), x ξ (t) is the intermediate variable in the north-south direction, x η (t) is the intermediate variable in the east-west direction, and x ξ (t) is the intermediate variable. The derivative is δξ(t), the derivative of x η (t) is δη(t), q η (t) is the process noise in the east-west direction, q ξ (t) is the process noise in the north-south direction, ω 0 is the center frequency,
Figure BDA0002583144500000074
is the damping coefficient, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.

其中,步骤104中垂线偏差扰动分量含有重力场空间变化丰富的高频信息,对地球表面物质质量变化非常敏感。地下水储量的变化必将导致局部区域质量的变化,地球质量分布的变化将导致地球引力场的变化。因此,可由垂线偏差扰动分量反演地下水储量。局部区域质量变化将导致待测点重力场变化,地表局部区域属于重力场高频范畴,垂线偏差扰动分量为重力场高频分量,其与区域质量变化呈关联性,可由垂线偏差扰动分量反演得到地下水储量变化量。步骤104具体包括:Among them, the vertical line deviation disturbance component in step 104 contains rich high-frequency information of the spatial variation of the gravitational field, and is very sensitive to changes in the mass of the earth's surface. The change of groundwater storage will inevitably lead to the change of the quality of the local area, and the change of the earth's mass distribution will lead to the change of the earth's gravitational field. Therefore, groundwater storage can be inverted from the perturbation component of vertical deviation. The local mass change will lead to the change of the gravity field of the point to be measured. The local surface area belongs to the high frequency category of the gravity field. The vertical deviation disturbance component is the high frequency component of the gravity field, which is related to the regional mass change, and can be determined by the vertical deviation disturbance component. The change in groundwater storage is obtained by inversion. Step 104 specifically includes:

1)由所述垂线偏差扰动分量反演垂线偏差扰动分量对应的水储量变化量。1) Inverting the water storage variation corresponding to the vertical deviation disturbance component from the vertical deviation disturbance component.

2)由所述垂线偏差扰动分量对应的水储量变化量、雪水当量变化量和土壤中水含量变化量计算所述测量载体所处区域的地下水储量变化量。所述地下水储量变化量的计算公式为:2) Calculate the variation of groundwater storage in the area where the measurement carrier is located from the variation of water storage, the variation of snow water equivalent, and the variation of water content in the soil corresponding to the vertical line deviation disturbance component. The calculation formula of the groundwater storage change is:

ΔGN=ΔTNS-ΔSN-ΔSNE;ΔGN=ΔTNS-ΔSN-ΔSNE;

ΔGN为地下水储量变化量,ΔTNS为垂线偏差扰动分量对应的水储量变化量,ΔSN为雪水当量变化量,ΔSNE为土壤中水含量变化量。ΔGN is the change in groundwater storage, ΔTNS is the change in water storage corresponding to the vertical deviation disturbance component, ΔSN is the change in snow water equivalent, and ΔSNE is the change in soil water content.

本实施例在步骤102之后还包括:对垂线偏差扰动两阶随机过程优化模型作Laplace变换,得到随机过程x1(t)的传递函数和相应的功率谱密度。After step 102, this embodiment further includes: performing Laplace transformation on the vertical deviation disturbance two-order stochastic process optimization model to obtain the transfer function of the stochastic process x 1 (t) and the corresponding power spectral density.

x1(t)的传递函数为:The transfer function of x 1 (t) is:

Figure BDA0002583144500000081
Figure BDA0002583144500000081

其中,s表示复频率。where s represents the complex frequency.

通过传递函数求取功率谱密度,其相应的功率谱密度为:The power spectral density is obtained by the transfer function, and the corresponding power spectral density is:

Figure BDA0002583144500000082
Figure BDA0002583144500000082

其中,ω表示频率,j表示虚数单位,

Figure BDA0002583144500000083
为q(t)的方差。where ω is the frequency, j is the imaginary unit,
Figure BDA0002583144500000083
is the variance of q(t).

通过对比分析两阶随机过程模型的输出x(t)和垂线偏差扰动两阶随机过程优化模型x1(t)的功率谱密度分布,得出x1(t)比x(t)在低频区域内衰减更强烈。垂线偏差扰动两阶随机过程优化模型x1(t)减小了垂线偏差高频扰动部分在低频区域的增益。在微分器的作用下,高频垂线偏差扰动在低频区域内具有更强烈的衰减特性,提高了垂线偏差的逼近精度,解决了无法获取大规模、大尺度地下水数据的问题,从而提高了地下水储量的监测效率。By comparing and analyzing the output x(t) of the two-order stochastic process model and the power spectral density distribution of the two-order stochastic process optimization model x 1 (t) perturbed by vertical line deviation, it is concluded that x 1 (t) is lower than x(t) at low frequencies. The attenuation is stronger in the region. The vertical deviation perturbation two-order stochastic process optimization model x 1 (t) reduces the gain of the high frequency perturbation part of the vertical deviation in the low frequency region. Under the action of the differentiator, the high-frequency vertical deviation disturbance has stronger attenuation characteristics in the low-frequency region, which improves the approximation accuracy of the vertical deviation, and solves the problem that large-scale and large-scale groundwater data cannot be obtained, thereby improving the Monitoring efficiency of groundwater storage.

为验证上述基于垂线偏差扰动的地下水储量监测方法的有效性,采用上述方法在对垂线偏差高频扰动分量δη(t)和δξ(t)逼近。由图2和图3可知,δη(t)和δξ(t)围绕0随机波动,逼近的精度在2″以内,精度较高,因此,本实施例的上述方法的可靠性较高。由此表明,上述方法能够有效的测量垂线偏差高频扰动量,精确的垂线偏差高频扰动量可高效的反演地下水储量。In order to verify the effectiveness of the above groundwater storage monitoring method based on vertical deviation disturbance, the above method is used to approximate the high frequency disturbance components of vertical deviation δη(t) and δξ(t). It can be seen from Fig. 2 and Fig. 3 that δη(t) and δξ(t) fluctuate randomly around 0, the approximation accuracy is within 2", and the accuracy is high. Therefore, the reliability of the above method in this embodiment is relatively high. It shows that the above method can effectively measure the high-frequency disturbance of vertical deviation, and the accurate high-frequency disturbance of vertical deviation can efficiently invert groundwater storage.

本发明还提供了一种基于垂线偏差扰动的地下水储量监测系统,图4为本发明实施例提供的基于垂线偏差扰动的地下水储量监测系统的结构示意图。参见图4,所述基于垂线偏差扰动的地下水储量监测系统包括:The present invention also provides a groundwater storage monitoring system based on vertical deviation disturbance. FIG. 4 is a schematic structural diagram of the groundwater storage monitoring system based on vertical deviation disturbance provided by an embodiment of the present invention. Referring to Figure 4, the groundwater storage monitoring system based on vertical deviation disturbance includes:

数据获取模块201,用于获取测量载体的行驶速度。The data acquisition module 201 is used for acquiring the traveling speed of the measurement carrier.

模型构建模块202,用于基于所述行驶速度构建垂线偏差扰动两阶随机过程优化模型;所述垂线偏差扰动两阶随机过程优化模型包括两阶随机过程模型和微分器;所述垂线偏差扰动两阶随机过程优化模型的输出为两阶随机过程模型的输出通过微分器后的输出结果。A model building module 202, configured to build a vertical deviation disturbance two-order stochastic process optimization model based on the traveling speed; the vertical deviation disturbance two-order stochastic process optimization model includes a two-order stochastic process model and a differentiator; the vertical line The output of the deviation disturbance two-order stochastic process optimization model is the output result after the output of the two-order stochastic process model passes through the differentiator.

垂线偏差扰动计算模块203,用于基于所述垂线偏差扰动两阶随机过程优化模型计算垂线偏差扰动分量;所述垂线偏差扰动分量包括垂线偏差扰动南北分量和垂线偏差扰动东西分量。The vertical deviation disturbance calculation module 203 is configured to calculate the vertical deviation disturbance component based on the vertical deviation disturbance two-order stochastic process optimization model; the vertical deviation disturbance component includes the vertical deviation disturbance north-south component and the vertical deviation disturbance east-west component weight.

反演模块204,用于由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量。The inversion module 204 is configured to invert the variation of groundwater storage in the area where the measurement carrier is located from the vertical deviation disturbance component.

作为一种可选的实施方式,所述模型构建模块202中的所述垂线偏差扰动两阶随机过程优化模型为:As an optional implementation manner, the vertical line deviation disturbance two-order stochastic process optimization model in the model building module 202 is:

Figure BDA0002583144500000091
Figure BDA0002583144500000091

x1(t)为垂线偏差扰动两阶随机过程优化模型的输出,

Figure BDA0002583144500000092
为x1(t)的一阶导数,
Figure BDA0002583144500000093
为x1(t)的二阶导数,ω0为中心频率,
Figure BDA0002583144500000094
为阻尼系数,
Figure BDA0002583144500000095
为q(t)的一阶导数,q(t)为高斯白噪声,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。x 1 (t) is the output of the two-order stochastic process optimization model perturbed by vertical deviation,
Figure BDA0002583144500000092
is the first derivative of x 1 (t),
Figure BDA0002583144500000093
is the second derivative of x 1 (t), ω 0 is the center frequency,
Figure BDA0002583144500000094
is the damping coefficient,
Figure BDA0002583144500000095
is the first derivative of q(t), q(t) is white Gaussian noise, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.

作为一种可选的实施方式,所述垂线偏差扰动计算模块203中的所述垂线偏差扰动分量的计算公式为As an optional implementation manner, the calculation formula of the vertical deviation disturbance component in the vertical deviation disturbance calculation module 203 is:

Figure BDA0002583144500000096
Figure BDA0002583144500000096

Figure BDA0002583144500000097
Figure BDA0002583144500000097

δξ(t)为垂线偏差扰动南北分量,δη(t)为垂线偏差扰动东西分量,xξ(t)为南北方向的中间变量,xη(t)为东西方向的中间变量,xξ(t)的导数为δξ(t),xη(t)的导数为δη(t),qη(t)为东西方向的过程噪声,qξ(t)为南北方向的过程噪声,ω0为中心频率,

Figure BDA0002583144500000098
为阻尼系数,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。δξ(t) is the north-south component of the vertical deviation disturbance, δη(t) is the east-west component of the vertical deviation disturbance, x ξ (t) is the intermediate variable in the north-south direction, x η (t) is the intermediate variable in the east-west direction, x ξ The derivative of (t) is δξ(t), the derivative of x η (t) is δη(t), q η (t) is the process noise in the east-west direction, q ξ (t) is the process noise in the north-south direction, ω 0 is the center frequency,
Figure BDA0002583144500000098
is the damping coefficient, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.

作为一种可选的实施方式,所述反演模块204,具体包括:As an optional implementation manner, the inversion module 204 specifically includes:

第一反演单元,用于由所述垂线偏差扰动分量反演垂线偏差扰动分量对应的水储量变化量。The first inversion unit is configured to invert the variation of water storage corresponding to the vertical deviation disturbance component from the vertical deviation disturbance component.

计算单元,用于由所述垂线偏差扰动分量对应的水储量变化量、雪水当量变化量和土壤中水含量变化量计算所述测量载体所处区域的地下水储量变化量。A calculation unit, configured to calculate the variation of groundwater storage in the area where the measurement carrier is located from the variation of water storage, the variation of snow water equivalent, and the variation of water content in the soil corresponding to the vertical line deviation disturbance component.

作为一种可选的实施方式,所述计算单元中的所述地下水储量变化量的计算公式为:As an optional implementation manner, the calculation formula of the groundwater storage variation in the calculation unit is:

ΔGN=ΔTNS-ΔSN-ΔSNE;ΔGN=ΔTNS-ΔSN-ΔSNE;

ΔGN为地下水储量变化量,ΔTNS为垂线偏差扰动分量对应的水储量变化量,ΔSN为雪水当量变化量,ΔSNE为土壤中水含量变化量。ΔGN is the change in groundwater storage, ΔTNS is the change in water storage corresponding to the vertical deviation disturbance component, ΔSN is the change in snow water equivalent, and ΔSNE is the change in soil water content.

本实施例提供的基于垂线偏差扰动的地下水储量监测系统,能减小垂线偏差高频扰动部分在低频区域的增益,使高频垂线偏差扰动在低频区域内具有更强烈的衰减特性,提高垂线偏差扰动逼近精度,高效反演地下水储量。The groundwater storage monitoring system based on the vertical deviation disturbance provided by this embodiment can reduce the gain of the high frequency disturbance part of the vertical deviation in the low frequency region, so that the high frequency vertical deviation disturbance has a stronger attenuation characteristic in the low frequency region, Improve the approximation accuracy of vertical line deviation disturbance and efficiently invert groundwater storage.

本说明书中各个实施例采用递进的方式描述,每个实施例重点说明的都是与其他实施例的不同之处,各个实施例之间相同相似部分互相参见即可。对于实施例公开的系统而言,由于其与实施例公开的方法相对应,所以描述的比较简单,相关之处参见方法部分说明即可。The various embodiments in this specification are described in a progressive manner, and each embodiment focuses on the differences from other embodiments, and the same and similar parts between the various embodiments can be referred to each other. For the system disclosed in the embodiment, since it corresponds to the method disclosed in the embodiment, the description is relatively simple, and the relevant part can be referred to the description of the method.

本文中应用了具体个例对本发明的原理及实施方式进行了阐述,以上实施例的说明只是用于帮助理解本发明的方法及其核心思想;同时,对于本领域的一般技术人员,依据本发明的思想,在具体实施方式及应用范围上均会有改变之处。综上所述,本说明书内容不应理解为对本发明的限制。In this paper, specific examples are used to illustrate the principles and implementations of the present invention. The descriptions of the above embodiments are only used to help understand the methods and core ideas of the present invention; meanwhile, for those skilled in the art, according to the present invention There will be changes in the specific implementation and application scope. In conclusion, the contents of this specification should not be construed as limiting the present invention.

Claims (10)

1.一种基于垂线偏差扰动的地下水储量监测方法,其特征在于,包括:1. a groundwater storage monitoring method based on vertical deviation disturbance, is characterized in that, comprises: 获取测量载体的行驶速度;Obtain the traveling speed of the measurement carrier; 基于所述行驶速度构建垂线偏差扰动两阶随机过程优化模型;所述垂线偏差扰动两阶随机过程优化模型包括两阶随机过程模型和微分器;所述垂线偏差扰动两阶随机过程优化模型的输出为两阶随机过程模型的输出通过微分器后的输出结果;A vertical line deviation disturbance two-order stochastic process optimization model is constructed based on the travel speed; the vertical line deviation disturbance two-order stochastic process optimization model includes a two-order stochastic process model and a differentiator; the vertical line deviation disturbance two-order stochastic process optimization model The output of the model is the output result after the output of the two-order stochastic process model passes through the differentiator; 基于所述垂线偏差扰动两阶随机过程优化模型计算垂线偏差扰动分量;所述垂线偏差扰动分量包括垂线偏差扰动南北分量和垂线偏差扰动东西分量;Calculate the vertical deviation disturbance component based on the vertical deviation disturbance two-order stochastic process optimization model; the vertical deviation disturbance component includes the vertical deviation disturbance north-south component and the vertical deviation disturbance east-west component; 由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量。The variation of groundwater storage in the area where the measurement carrier is located is obtained by inversion from the vertical deviation disturbance component. 2.根据权利要求1所述的一种基于垂线偏差扰动的地下水储量监测方法,其特征在于,所述垂线偏差扰动两阶随机过程优化模型为:2. a kind of groundwater storage monitoring method based on vertical line deviation disturbance according to claim 1, is characterized in that, described vertical line deviation disturbance two-order stochastic process optimization model is:
Figure FDA0002583144490000011
Figure FDA0002583144490000011
x1(t)为垂线偏差扰动两阶随机过程优化模型的输出,
Figure FDA0002583144490000012
为x1(t)的一阶导数,
Figure FDA0002583144490000013
为x1(t)的二阶导数,ω0为中心频率,
Figure FDA0002583144490000014
为阻尼系数,
Figure FDA0002583144490000015
为q(t)的一阶导数,q(t)为高斯白噪声,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。
x 1 (t) is the output of the two-order stochastic process optimization model perturbed by vertical deviation,
Figure FDA0002583144490000012
is the first derivative of x 1 (t),
Figure FDA0002583144490000013
is the second derivative of x 1 (t), ω 0 is the center frequency,
Figure FDA0002583144490000014
is the damping coefficient,
Figure FDA0002583144490000015
is the first derivative of q(t), q(t) is white Gaussian noise, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.
3.根据权利要求1所述的一种基于垂线偏差扰动的地下水储量监测方法,其特征在于,所述垂线偏差扰动分量的计算公式为3. a kind of groundwater storage monitoring method based on vertical deviation disturbance according to claim 1, is characterized in that, the calculation formula of described vertical deviation disturbance component is:
Figure FDA0002583144490000016
Figure FDA0002583144490000016
δξ(t)为垂线偏差扰动南北分量,δη(t)为垂线偏差扰动东西分量,xξ(t)为南北方向的中间变量,xη(t)为东西方向的中间变量,xξ(t)的导数为δξ(t),xη(t)的导数为δη(t),qη(t)为东西方向的过程噪声,qξ(t)为南北方向的过程噪声,ω0为中心频率,
Figure FDA0002583144490000018
为阻尼系数,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。
δξ(t) is the north-south component of the vertical deviation disturbance, δη(t) is the east-west component of the vertical deviation disturbance, x ξ (t) is the intermediate variable in the north-south direction, x η (t) is the intermediate variable in the east-west direction, x ξ The derivative of (t) is δξ(t), the derivative of x η (t) is δη(t), q η (t) is the process noise in the east-west direction, q ξ (t) is the process noise in the north-south direction, ω 0 is the center frequency,
Figure FDA0002583144490000018
is the damping coefficient, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.
4.根据权利要求1所述的一种基于垂线偏差扰动的地下水储量监测方法,其特征在于,所述由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量,具体包括:4. The method for monitoring groundwater storage based on vertical deviation disturbance according to claim 1, wherein the groundwater storage variation in the area where the measurement carrier is located is obtained by inversion from the vertical deviation disturbance component amount, including: 由所述垂线偏差扰动分量反演垂线偏差扰动分量对应的水储量变化量;Inverting the water storage variation corresponding to the vertical deviation disturbance component from the vertical deviation disturbance component; 由所述垂线偏差扰动分量对应的水储量变化量、雪水当量变化量和土壤中水含量变化量计算所述测量载体所处区域的地下水储量变化量。The variation of groundwater storage in the area where the measurement carrier is located is calculated from the variation of water storage, the variation of snow water equivalent and the variation of water content in the soil corresponding to the perturbation component of the vertical line deviation. 5.根据权利要求4所述的一种基于垂线偏差扰动的地下水储量监测方法,其特征在于,所述地下水储量变化量的计算公式为:5. a kind of groundwater storage monitoring method based on vertical line deviation disturbance according to claim 4, is characterized in that, the calculation formula of described groundwater storage variation is: ΔGN=ΔTNS-ΔSN-ΔSNE;ΔGN=ΔTNS-ΔSN-ΔSNE; ΔGN为地下水储量变化量,ΔTNS为垂线偏差扰动分量对应的水储量变化量,ΔSN为雪水当量变化量,ΔSNE为土壤中水含量变化量。ΔGN is the change in groundwater storage, ΔTNS is the change in water storage corresponding to the vertical deviation disturbance component, ΔSN is the change in snow water equivalent, and ΔSNE is the change in soil water content. 6.一种基于垂线偏差扰动的地下水储量监测系统,其特征在于,包括:6. A groundwater storage monitoring system based on vertical deviation disturbance, characterized in that, comprising: 数据获取模块,用于获取测量载体的行驶速度;The data acquisition module is used to acquire the traveling speed of the measurement carrier; 模型构建模块,用于基于所述行驶速度构建垂线偏差扰动两阶随机过程优化模型;所述垂线偏差扰动两阶随机过程优化模型包括两阶随机过程模型和微分器;所述垂线偏差扰动两阶随机过程优化模型的输出为两阶随机过程模型的输出通过微分器后的输出结果;a model building module for constructing a vertical deviation perturbation two-order stochastic process optimization model based on the travel speed; the vertical deviation perturbation two-order stochastic process optimization model includes a two-order stochastic process model and a differentiator; the vertical deviation The output of the perturbed two-order stochastic process optimization model is the output result after the output of the two-order stochastic process model passes through the differentiator; 垂线偏差扰动计算模块,用于基于所述垂线偏差扰动两阶随机过程优化模型计算垂线偏差扰动分量;所述垂线偏差扰动分量包括垂线偏差扰动南北分量和垂线偏差扰动东西分量;The vertical deviation disturbance calculation module is used to calculate the vertical deviation disturbance component based on the vertical deviation disturbance two-order stochastic process optimization model; the vertical deviation disturbance component includes the vertical deviation disturbance north-south component and the vertical deviation disturbance east-west component ; 反演模块,用于由所述垂线偏差扰动分量反演得到所述测量载体所处区域的地下水储量变化量。The inversion module is configured to invert the variation of groundwater storage in the area where the measurement carrier is located from the vertical deviation disturbance component. 7.根据权利要求6所述的一种基于垂线偏差扰动的地下水储量监测系统,其特征在于,所述模型构建模块中的所述垂线偏差扰动两阶随机过程优化模型为:7. a kind of groundwater storage monitoring system based on vertical deviation disturbance according to claim 6, is characterized in that, described vertical deviation disturbance two-order stochastic process optimization model in described model building module is:
Figure FDA0002583144490000021
Figure FDA0002583144490000021
x1(t)为垂线偏差扰动两阶随机过程优化模型的输出,
Figure FDA0002583144490000022
为x1(t)的一阶导数,
Figure FDA0002583144490000023
为x1(t)的二阶导数,ω0为中心频率,
Figure FDA0002583144490000024
为阻尼系数,
Figure FDA0002583144490000025
为q(t)的一阶导数,q(t)为高斯白噪声,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。
x 1 (t) is the output of the two-order stochastic process optimization model perturbed by vertical deviation,
Figure FDA0002583144490000022
is the first derivative of x 1 (t),
Figure FDA0002583144490000023
is the second derivative of x 1 (t), ω 0 is the center frequency,
Figure FDA0002583144490000024
is the damping coefficient,
Figure FDA0002583144490000025
is the first derivative of q(t), q(t) is white Gaussian noise, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.
8.根据权利要求6所述的一种基于垂线偏差扰动的地下水储量监测系统,其特征在于,所述垂线偏差扰动计算模块中的所述垂线偏差扰动分量的计算公式为8 . The groundwater storage monitoring system based on vertical deviation disturbance according to claim 6 , wherein the calculation formula of the vertical deviation disturbance component in the vertical deviation disturbance calculation module is: 8 .
Figure FDA0002583144490000031
Figure FDA0002583144490000031
Figure FDA0002583144490000032
Figure FDA0002583144490000032
δξ(t)为垂线偏差扰动南北分量,δη(t)为垂线偏差扰动东西分量,xξ(t)为南北方向的中间变量,xη(t)为东西方向的中间变量,xξ(t)的导数为δξ(t),xη(t)的导数为δη(t),qη(t)为东西方向的过程噪声,qξ(t)为南北方向的过程噪声,ω0为中心频率,
Figure FDA0002583144490000033
为阻尼系数,ω0=2πV/λ0,V为行驶速度,λ0为中心波长。
δξ(t) is the north-south component of the vertical deviation disturbance, δη(t) is the east-west component of the vertical deviation disturbance, x ξ (t) is the intermediate variable in the north-south direction, x η (t) is the intermediate variable in the east-west direction, x ξ The derivative of (t) is δξ(t), the derivative of x η (t) is δη(t), q η (t) is the process noise in the east-west direction, q ξ (t) is the process noise in the north-south direction, ω 0 is the center frequency,
Figure FDA0002583144490000033
is the damping coefficient, ω 0 =2πV/λ 0 , V is the traveling speed, and λ 0 is the center wavelength.
9.根据权利要求6所述的一种基于垂线偏差扰动的地下水储量监测系统,其特征在于,所述反演模块,具体包括:9. A groundwater storage monitoring system based on vertical line deviation disturbance according to claim 6, wherein the inversion module specifically comprises: 第一反演单元,用于由所述垂线偏差扰动分量反演垂线偏差扰动分量对应的水储量变化量;a first inversion unit, configured to invert the variation of water storage corresponding to the vertical deviation disturbance component from the vertical deviation disturbance component; 计算单元,用于由所述垂线偏差扰动分量对应的水储量变化量、雪水当量变化量和土壤中水含量变化量计算所述测量载体所处区域的地下水储量变化量。A calculation unit, configured to calculate the variation of groundwater storage in the area where the measurement carrier is located from the variation of water storage, the variation of snow water equivalent, and the variation of water content in the soil corresponding to the vertical line deviation disturbance component. 10.根据权利要求9所述的一种基于垂线偏差扰动的地下水储量监测系统,其特征在于,所述计算单元中的所述地下水储量变化量的计算公式为:10. A groundwater storage monitoring system based on vertical line deviation disturbance according to claim 9, wherein the calculation formula of the groundwater storage variation in the calculation unit is: ΔGN=ΔTNS-ΔSN-ΔSNE;ΔGN=ΔTNS-ΔSN-ΔSNE; ΔGN为地下水储量变化量,ΔTNS为垂线偏差扰动分量对应的水储量变化量,ΔSN为雪水当量变化量,ΔSNE为土壤中水含量变化量。ΔGN is the change in groundwater storage, ΔTNS is the change in water storage corresponding to the vertical deviation disturbance component, ΔSN is the change in snow water equivalent, and ΔSNE is the change in soil water content.
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