CN117851393A - Data assimilation method and system for inferring seawater quality changes using tide gauge station records - Google Patents
Data assimilation method and system for inferring seawater quality changes using tide gauge station records Download PDFInfo
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Abstract
Description
技术领域Technical Field
本发明属于海洋观测技术领域,尤其涉及利用验潮站记录推测海水质量变化的数据同化方法及系统。The invention belongs to the technical field of ocean observation, and in particular relates to a data assimilation method and system for inferring seawater quality changes by using tide gauge station records.
背景技术Background technique
海平面长期变化的主要成因包括两个部分,一是温盐变化引起的海水密度变化,另一个是陆地质量迁移引起的海水质量增加。验潮站记录了沿海地区海平面长期变化,是宝贵的数据资料;气候模式能够模拟动态海平面变化,主要是温盐变化和海洋环流引起的海平面变化;冰川模型、水文模式以及观测数据能够给出陆地质量变化不同成分对海平面上升的贡献,而且海平面指纹效应能够描述这些贡献在海洋区域形成的空间变化特征。The main causes of long-term sea level changes include two parts: one is the change in seawater density caused by temperature and salinity changes, and the other is the increase in seawater mass caused by land mass migration. Tide gauges record long-term changes in sea level in coastal areas and are valuable data; climate models can simulate dynamic sea level changes, mainly sea level changes caused by temperature and salinity changes and ocean circulation; glacier models, hydrological models and observational data can give the contribution of different components of land mass changes to sea level rise, and the sea level fingerprint effect can describe the spatial variation characteristics of these contributions in the ocean area.
为研究海水质量变化对20世纪海平面上升的贡献,Hay et al.(2015)提出一种数据同化方法,其核心要点是假定海水质量增加的主要贡献源来自格陵兰岛、西南极和全球山地冰川,其中格陵兰和西南极的消融是空间均一化,然后使用海平面指纹理论预测两者对海平面上升贡献的空间特征,此外假定全球山地冰川消融造成的海平面指纹空间特征是均一化。联合气候模式输出的动态海平面,以选取的全球验潮站为观测约束,通过运转卡尔曼滤波和平滑实现估计三个贡献源对海水质量增加的贡献。除估计海水质量的贡献外,该方法还能重构验潮站处海平面上升趋势,实现对验潮站缺失记录的补充。To study the contribution of seawater quality changes to sea level rise in the 20th century, Hay et al. (2015) proposed a data assimilation method, the core point of which is to assume that the main sources of contribution to seawater quality increase come from Greenland, West Antarctica and global mountain glaciers, where the melting of Greenland and West Antarctica is spatially homogenized, and then use the sea level fingerprint theory to predict the spatial characteristics of their contribution to sea level rise. In addition, it is assumed that the spatial characteristics of the sea level fingerprint caused by the melting of global mountain glaciers are homogenized. The dynamic sea level output by the combined climate model is used as the observation constraint of the selected global tide gauge stations, and the contribution of the three contributing sources to the increase in seawater quality is estimated by running Kalman filtering and smoothing. In addition to estimating the contribution of seawater quality, this method can also reconstruct the trend of sea level rise at the tide gauge station to supplement the missing records of the tide gauge station.
发明人发现,直接使用陆地质量迁移研究海水质量增加面临一些技术层面的问题,比如,不同的数据源误差特征有显著区别,模式输出与观测数据不兼容等。因此,需要构建技术方法,使陆地质量迁移各个成分相与验潮站记录相兼容。前述现有的海平面数据同化技术能够实现验潮站处海平面长期变化重构,但同时估计多个质量贡献源则面临较大的不确定性,或者需要较强的先验约束,才能实现准确的定量估计。The inventors found that directly using land mass migration to study the increase in seawater mass faces some technical problems, such as significant differences in the error characteristics of different data sources, and incompatibility between model output and observational data. Therefore, it is necessary to construct a technical method to make the various components of land mass migration compatible with tide gauge records. The aforementioned existing sea level data assimilation technology can achieve long-term reconstruction of sea level changes at tide gauges, but the simultaneous estimation of multiple mass contribution sources faces greater uncertainty, or requires stronger prior constraints to achieve accurate quantitative estimates.
发明内容Summary of the invention
为克服上述现有技术的不足,本发明提供了利用验潮站记录推测海水质量变化的数据同化方法及系统,避免了现有技术中的强先验约束,减少待估参数的数目,并引入随机变量弥补气候模式在局部区域模拟能力的不足。通过这些技术改进,能够提升海水质量估计的准确度,实现模式和模型预测与验潮站观测数据的吻合与兼容。In order to overcome the shortcomings of the above-mentioned prior art, the present invention provides a data assimilation method and system for inferring changes in seawater quality using tide gauge station records, avoiding the strong prior constraints in the prior art, reducing the number of parameters to be estimated, and introducing random variables to make up for the lack of simulation capabilities of climate models in local areas. Through these technical improvements, the accuracy of seawater quality estimation can be improved, and the consistency and compatibility of pattern and model predictions with tide gauge station observation data can be achieved.
为实现上述目的,本发明的一个或多个实施例提供了如下技术方案:To achieve the above objectives, one or more embodiments of the present invention provide the following technical solutions:
本发明第一方面提供了利用验潮站记录推测海水质量变化的数据同化方法。A first aspect of the present invention provides a data assimilation method for inferring changes in seawater quality using tide gauge station records.
利用验潮站记录推测海水质量变化的数据同化方法,包括以下步骤:The data assimilation method using tide gauge station records to infer changes in seawater quality includes the following steps:
对数据进行预处理,包括:选取验潮站,获取验潮站记录数据;计算全球陆地质量迁移变化,得到海平面指纹效应;提取气候模式的动态海平面变化,将动态海平面插值到验潮站记录数据处;Preprocess the data, including: selecting tide stations and obtaining tide station record data; calculating global land mass migration changes to obtain sea level fingerprint effects; extracting dynamic sea level changes in climate models and interpolating dynamic sea levels to tide station record data;
根据选取的验潮站建立观测方程,使用稀疏矩阵关联状态量和观测量;在每个验潮站处引入随机变量,弥补气候模式对局部动态海平面变化模拟的不足;确定验潮站初始时刻的状态,优化调整状态量的约束参数以及相邻验潮站之间的相关系数;基于卡尔曼滤波和平滑,估计最优状态量,对全球海水质量增加量进行推测。Observation equations are established based on the selected tide gauges, and sparse matrices are used to associate state quantities and observation quantities. Random variables are introduced at each tide gauge to make up for the shortcomings of climate models in simulating local dynamic sea level changes. The state of the tide gauge station at the initial moment is determined, and the constraint parameters of the state quantity and the correlation coefficient between adjacent tide gauges are optimized and adjusted. Based on Kalman filtering and smoothing, the optimal state quantity is estimated, and the increase in global seawater mass is speculated.
本发明第二方面提供了利用验潮站记录推测海水质量变化的数据同化系统。A second aspect of the present invention provides a data assimilation system for inferring changes in seawater quality using tide gauge station records.
利用验潮站记录推测海水质量变化的数据同化系统,包括:The data assimilation system that uses tide gauge records to infer changes in seawater quality includes:
数据预处理模块,被配置为:选取验潮站,获取验潮站记录数据;计算全球陆地质量迁移变化,得到海平面指纹效应;提取气候模式的动态海平面变化,将动态海平面插值到验潮站记录数据处;The data preprocessing module is configured to: select tide stations and obtain tide station record data; calculate the global land mass migration changes to obtain the sea level fingerprint effect; extract the dynamic sea level changes of the climate model and interpolate the dynamic sea level to the tide station record data;
同化建模模块,被配置为:根据选取的验潮站建立观测方程,使用稀疏矩阵关联状态量和观测量;在每个验潮站处引入随机变量,弥补气候模式对局部动态海平面变化模拟的不足;确定验潮站初始时刻的状态,优化调整状态量的约束参数以及相邻验潮站之间的相关系数;基于卡尔曼滤波和平滑,估计最优状态量,对全球海水质量增加量进行推测。The assimilation modeling module is configured as follows: establish observation equations based on the selected tide gauge stations, and use sparse matrices to associate state quantities and observation quantities; introduce random variables at each tide gauge station to make up for the shortcomings of climate models in simulating local dynamic sea level changes; determine the state of the tide gauge station at the initial moment, optimize and adjust the constraint parameters of the state quantity and the correlation coefficient between adjacent tide gauge stations; estimate the optimal state quantity based on Kalman filtering and smoothing, and speculate on the increase in global seawater mass.
本发明第三方面提供了计算机可读存储介质,其上存储有程序,该程序被处理器执行时实现如本发明第一方面所述的利用验潮站记录推测海水质量变化的数据同化方法中的步骤。A third aspect of the present invention provides a computer-readable storage medium having a program stored thereon, which, when executed by a processor, implements the steps in the data assimilation method for inferring seawater quality changes using tide gauge station records as described in the first aspect of the present invention.
本发明第四方面提供了电子设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的程序,所述处理器执行所述程序时实现如本发明第一方面所述的利用验潮站记录推测海水质量变化的数据同化方法中的步骤。The fourth aspect of the present invention provides an electronic device, including a memory, a processor, and a program stored in the memory and executable on the processor, wherein when the processor executes the program, the steps in the data assimilation method for inferring changes in seawater quality using tide gauge station records as described in the first aspect of the present invention are implemented.
以上一个或多个技术方案存在以下有益效果:One or more of the above technical solutions have the following beneficial effects:
本发明提供了一种利用验潮站记录推测海水质量变化的数据同化方法及系统,构建了海平面数据同化理论的新框架,在验潮站记录、气候模式和海平面指纹效应基础上,引入随机变量提升气候模式在局部区域的模拟能力、弥补气候模式在局部区域模拟能力的不足,改善对全球海水质量增加的估计,避免了强先验约束,减少待估参数的数目,通过这些技术改进,提升了海水质量估计的准确度,实现模式和模型预测与验潮站观测数据的吻合与兼容。The present invention provides a data assimilation method and system for inferring seawater quality changes using tide gauge station records, constructs a new framework for sea level data assimilation theory, and introduces random variables based on tide gauge station records, climate models and sea level fingerprint effects to enhance the simulation capability of climate models in local areas, make up for the inadequacy of climate models in local area simulation capability, improve the estimation of global seawater quality increase, avoid strong prior constraints, and reduce the number of parameters to be estimated. Through these technical improvements, the accuracy of seawater quality estimation is improved, and the consistency and compatibility of pattern and model predictions with tide gauge station observation data are achieved.
本发明假定基于不同数据源的陆地质量迁移具有相同的误差特性,并将不同陆地质量迁移引发的海平面指纹效应融合为一个整体进行估计,改善了陆地质量迁移估计,提高不同质量成分之间的兼任性,最终实现海水质量增加的精确估计。The present invention assumes that land mass migration based on different data sources has the same error characteristics, and integrates the sea level fingerprint effects caused by different land mass migrations into a whole for estimation, thereby improving the land mass migration estimation, increasing the compatibility between different mass components, and ultimately achieving accurate estimation of the seawater mass increase.
本发明附加方面的优点将在下面的描述中部分给出,部分将从下面的描述中变得明显,或通过本发明的实践了解到。Advantages of additional aspects of the present invention will be given in part in the following description, and in part will become obvious from the following description, or will be learned through practice of the present invention.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
构成本发明的一部分的说明书附图用来提供对本发明的进一步理解,本发明的示意性实施例及其说明用于解释本发明,并不构成对本发明的不当限定。The accompanying drawings in the specification, which constitute a part of the present invention, are used to provide a further understanding of the present invention. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute improper limitations on the present invention.
图1为第一个实施例的方法流程图。FIG. 1 is a flow chart of a method according to a first embodiment.
图2(a)为采用本发明方法与现有技术方法得到的海平面上升曲线对比图。FIG. 2( a ) is a comparison diagram of the sea level rise curves obtained by the method of the present invention and the prior art method.
图2(b)为采用本发明方法得到的海水质量、动态海平面曲线图。FIG. 2( b ) is a graph showing seawater quality and dynamic sea level obtained by the method of the present invention.
图3为采用本发明方法得到的海水质量与输入的海平面指纹总量对比图。FIG3 is a comparison diagram of the seawater quality obtained by the method of the present invention and the total amount of the input sea level fingerprint.
图4为采用本发明方法得到的海平面长期趋势图。FIG. 4 is a long-term trend diagram of sea level obtained by using the method of the present invention.
具体实施方式Detailed ways
应该指出,以下详细说明都是示例性的,旨在对本发明提供进一步的说明。除非另有指明,本文使用的所有技术和科学术语具有与本发明所属技术领域的普通技术人员通常理解的相同含义。It should be noted that the following detailed descriptions are exemplary and are intended to provide further explanation of the present invention. Unless otherwise specified, all technical and scientific terms used herein have the same meanings as those commonly understood by those skilled in the art to which the present invention belongs.
需要注意的是,这里所使用的术语仅是为了描述具体实施方式,而非意图限制根据本发明的示例性实施方式。It should be noted that the terms used herein are for describing specific embodiments only and are not intended to be limiting of exemplary embodiments according to the present invention.
在不冲突的情况下,本发明中的实施例及实施例中的特征可以相互组合。In the absence of conflict, the embodiments of the present invention and the features of the embodiments may be combined with each other.
术语解释:Terminology explanation:
GIA:glacial isostatic adjustment冰川均衡调整GIA: glacial isostatic adjustment
CMIP6:Coupled Model Intercomparison Project Phase 6第六次国际耦合模式比较CMIP6: Coupled Model Intercomparison Project Phase 6
SLF:sea level fingerprint 海平面指纹SLF: sea level fingerprint
Sterody:sterodynamic sea level 动力海平面Sterody: stereodynamic sea level
GMSL:global mean sea level 全球平均海平面GMSL: global mean sea level
实施例一Embodiment 1
本实施例公开了利用验潮站记录推测海水质量变化的数据同化方法。This embodiment discloses a data assimilation method for inferring changes in seawater quality using tide gauge station records.
如图1所示,利用验潮站记录推测海水质量变化的数据同化方法,包括以下步骤:As shown in Figure 1, the data assimilation method for inferring seawater quality changes using tide gauge station records includes the following steps:
对数据进行预处理,包括:选取验潮站,获取验潮站记录数据;计算全球陆地质量迁移变化,得到海平面指纹效应;提取气候模式的动态海平面变化,将动态海平面插值到验潮站记录数据处;Preprocess the data, including: selecting tide stations and obtaining tide station record data; calculating global land mass migration changes to obtain sea level fingerprint effects; extracting dynamic sea level changes in climate models and interpolating dynamic sea levels to tide station record data;
根据选取的验潮站建立观测方程,使用稀疏矩阵关联状态量和观测量;在每个验潮站处引入随机变量,弥补气候模式对局部动态海平面变化模拟的不足;确定验潮站初始时刻的状态,优化调整状态量的约束参数以及相邻验潮站之间的相关系数;基于卡尔曼滤波和平滑,估计最优状态量,对全球海水质量增加量进行推测。Observation equations are established based on the selected tide gauges, and sparse matrices are used to associate state quantities and observation quantities. Random variables are introduced at each tide gauge to make up for the shortcomings of climate models in simulating local dynamic sea level changes. The state of the tide gauge station at the initial moment is determined, and the constraint parameters of the state quantity and the correlation coefficient between adjacent tide gauges are optimized and adjusted. Based on Kalman filtering and smoothing, the optimal state quantity is estimated, and the increase in global seawater mass is speculated.
本实施例主要包括3个步骤:This embodiment mainly includes 3 steps:
步骤一:数据预处理,主要包括验潮站选择、海平面指纹计算和动态海平面提取。具体实施过程如下:Step 1: Data preprocessing, mainly including tide station selection, sea level fingerprint calculation and dynamic sea level extraction. The specific implementation process is as follows:
(1)选择适宜的验潮站。(1) Select a suitable tide gauge station.
验潮站虽然广泛分布在全球沿海地区,但不同地区的日常观测及维护仍有较大差异,因而会有明显的数据缺失记录,此外,有些地区的验潮站也会受到局部地质、地球物理以及气候和气象条件的影响,形成一些跳跃记录,这些跳跃记录并非海平面变化信号,或者与大尺度海平面变化信号关联较小。Although tide gauges are widely distributed in coastal areas around the world, there are still large differences in daily observations and maintenance in different regions, resulting in obvious data missing records. In addition, tide gauges in some areas are also affected by local geological, geophysical, climatic and meteorological conditions, resulting in some jump records. These jump records are not sea level change signals, or have little correlation with large-scale sea level change signals.
因此,需要根据研究目的谨慎地选择验潮站。首先选取在1950年后具有20年以上有效记录的验潮站,然后对初步选取的验潮站做详细检查,删除异常跳跃记录。此外,删除线性速率超过10mm/yr的验潮站,因为这些验潮站极有可能反映的是局部地球物理信号。Therefore, it is necessary to carefully select tide gauges according to the purpose of the study. First, select tide gauges with more than 20 years of valid records after 1950, then conduct a detailed inspection of the initially selected tide gauges and delete abnormal jump records. In addition, delete tide gauges with linear rates exceeding 10 mm/yr, because these tide gauges are very likely to reflect local geophysical signals.
(2)计算海平面指纹效应。(2) Calculate the sea level fingerprint effect.
主要收集陆地质量迁移变化的成分,包括格陵兰岛冰川消融、南极冰盖消融、山地冰川消融以及陆地水储量变化。It mainly collects components of land mass transfer changes, including Greenland glacier melting, Antarctic ice sheet melting, mountain glacier melting and changes in land water storage.
基于影像数据,恢复格陵兰岛20世纪消融的时空特征,定量估计格陵兰岛冰川冰盖消融;Based on image data, we restored the spatiotemporal characteristics of Greenland's 20th century melting and quantitatively estimated the melting of Greenland's glaciers and ice sheets;
基于气象观测结合冰盖模型,估计南极地区的冰盖消融;Estimate ice sheet loss in the Antarctic region based on meteorological observations combined with ice sheet models;
基于冰川模型,模拟20世纪全球山地冰川的消融变化;Based on the glacier model, simulate the melting changes of global mountain glaciers in the 20th century;
结合观测数据和模式驱动,重构20世纪陆地水储量变化。Combining observational data and model-driven analysis, we reconstruct changes in terrestrial water storage during the 20th century.
使用以上4个变化成分,得到全球陆地质量迁移变化,根据海平面指纹理论,在质量负荷的弹性假设框架下,考虑地球重力场、地表形变以及地球自转的影响,计算陆地质量变化在海洋区域形成的海水质量再分布特征,即海平面指纹效应。Using the above four change components, the global land mass migration changes are obtained. According to the sea level fingerprint theory, under the elastic assumption framework of mass load, the influence of the earth's gravity field, surface deformation and the earth's rotation are considered to calculate the seawater mass redistribution characteristics formed by land mass changes in the ocean area, namely the sea level fingerprint effect.
(3)提取气候模式的动态海平面变化。(3) Extract dynamic sea level changes from climate models.
CMIP6模式给出了全球尺度的动态海平面变化,但这些输出是建立在规则网格或者气候模型定义的网格上,并非验潮站处的动态海平面变化,因此需要使用二维插值技术,将模式输出的动态海平面插值到验潮站处。此外,还需要考虑冰后回弹对现今相对海平面的贡献,使用GIA模型的输出进行改正。The CMIP6 model gives the dynamic sea level changes on a global scale, but these outputs are based on regular grids or grids defined by climate models, not dynamic sea level changes at tide gauges. Therefore, it is necessary to use two-dimensional interpolation technology to interpolate the dynamic sea level output by the model to the tide gauges. In addition, it is also necessary to consider the contribution of post-glacial rebound to the current relative sea level and use the output of the GIA model to correct it.
步骤二:构建数据同化框架,包括建立观测方程、引入随机变量、估计初始状态、优化参数和滤波平滑等五个过程。Step 2: Construct a data assimilation framework, which includes five processes: establishing observation equations, introducing random variables, estimating initial states, optimizing parameters, and filtering and smoothing.
接下来详细描述数据同化方法的数学结构和计算过程:Next, the mathematical structure and calculation process of the data assimilation method are described in detail:
基于验潮站记录建立观测方程,在时间节点t:The observation equation is established based on the tide gauge station records at time node t:
Zt=HtXt+ε(S1)Z t = H t X t + ε(S1)
式中,Zt是观测向量,在t时刻,其包含m个有效验潮站记录(m随时间变化),ε是验潮站记录的噪声,矩阵Ht是转换矩阵,将待估计量(即状态量)转换至观测向量,它由两部分组成:Where Zt is the observation vector, which contains m valid tide station records at time t (m changes with time), ε is the noise of the tide station records, and the matrix Ht is the conversion matrix, which converts the quantity to be estimated (i.e., the state quantity) to the observation vector. It consists of two parts:
式中, 稀疏矩阵:对于其每一行而言,当第i个验潮站有记录时,则/>的第i个元素为1,否则为0;/>的维度是m×n,n是验潮站的总数目。In the formula, Sparse matrix: For each row, when the i-th tide station has a record, then/> The i-th element of is 1, otherwise it is 0; /> The dimension is m×n, where n is the total number of tide gauges.
在数据同化中,状态向量Xt定义为:In data assimilation, the state vector Xt is defined as:
式中,表示第i个验潮站在时刻t的海平面;类似地,/>表示验潮站处海平面的随机速率;αt表示海平面指纹的振幅t。In the formula, represents the sea level at the i-th tide gauge station at time t; similarly,/> represents the random rate of the sea level at the tide gauge station; αt represents the amplitude t of the sea level fingerprint.
在滤波过程中,状态转移矩阵Φ把状态量转换至下一时刻:During the filtering process, the state transfer matrix Φ converts the state quantity to the next moment:
式中,w表示过程噪声,下角标f表示预测,下角标a表示分析解,即滤波后的结果;表示动态海平面的瞬时速率;/>表示冰川均衡调整导致的相对海平面变化;需要强调的是,/>和/>在数据同化中是驱动因子,即每一个气候模式输出可获得对应的状态量估计(或者完成一次数据同化计算)。In the formula, w represents process noise, subscript f represents prediction, and subscript a represents analytical solution, i.e., the result after filtering; Indicates the instantaneous rate of dynamic sea level; /> represents the relative sea level change caused by glacial isostatic adjustment; it should be emphasized that /> and/> In data assimilation, it is the driving factor, that is, each climate model output can obtain the corresponding state quantity estimate (or complete a data assimilation calculation).
转移矩阵Φ的结构为:The structure of the transfer matrix Φ is:
式中,ySLF是一个向量,包含验潮站处海平面指纹的速率变化,即需要注意的是,/>表示海平面指纹在1950-2020期间的线性趋势,而/>表示海平面指纹在t时刻的速率,两者之间的关系为:Where y SLF is a vector containing the rate of change of the sea level fingerprint at the tide gauge station, that is, It should be noted that /> represents the linear trend of the sea level fingerprint during the period 1950-2020, while/> represents the rate of the sea level fingerprint at time t, and the relationship between the two is:
式中,α表示t时刻海平面指纹线性速率的振幅。Where α represents the amplitude of the linear velocity of the sea level fingerprint at time t.
利用公式S3-S6,可以表示相邻两个时刻之间海平面变化的过程:Using formulas S3-S6, the process of sea level change between two adjacent moments can be expressed as:
公式S1和公式S4构成数据同化的基本公式:Formula S1 and Formula S4 constitute the basic formula for data assimilation:
式中,R表示观测噪声,矩阵Q表示状态量的协方差矩阵,它具有以下形式:In the formula, R represents the observation noise, and the matrix Q represents the covariance matrix of the state quantity, which has the following form:
式中,I(n+1)×(n+1)是单位阵,σ2作为约束参数,影响和α(t)随时间变化的范围,本文将σ设置为1mm yr-1;VTG定义了验潮站之间的相关性,主要取决于它们之间的距离:In the formula, I (n+1)×(n+1) is the unit matrix, and σ 2 is a constraint parameter that affects and the range of α(t) over time, in this paper σ is set to 1 mm yr -1 ; V TG defines the correlation between tide gauges, which depends mainly on the distance between them:
式中,验潮站移除线性趋势后的方差;τ的取值为500km;D表示验潮站之间的距离.当D≤300km时,利用公式S10计算相关性,如果距离D>300km,则不再考虑验潮站之间的相关性。In the formula, Variance of tide gauge stations after removing linear trends; τ is taken as 500km; D represents the distance between tide gauge stations. When D≤300km, the correlation is calculated using formula S10. If the distance D>300km, the correlation between tide gauge stations is no longer considered.
数据同化的具体计算公式为:The specific calculation formula for data assimilation is:
式中,是卡尔曼增益矩阵,vt是对观测量的更新,其方差为Ft。In the formula, is the Kalman gain matrix, vt is the update to the observation, and its variance is Ft .
数据同化的平滑计算过程为:The smoothing calculation process of data assimilation is:
式中,Lt=Φ-KtHt,而表示平滑后的状态量。In the formula, L t = Φ-K t H t , and Represents the smoothed state quantity.
在对海水质量变化、随机变量以及验潮站重构等状态进行初步估计后,确定验潮站初始时刻的状态,减少对其他状态量估计的不确定度;进一步优化调整状态量的约束参数以及相邻验潮站之间的相关系数;最终实施卡尔曼滤波和平滑,估计最优状态量。After making preliminary estimates of the states of seawater quality changes, random variables, and tide gauge station reconstruction, the state of the tide gauge station at the initial moment is determined to reduce the uncertainty in the estimation of other state quantities; the constraint parameters of the state quantities and the correlation coefficients between adjacent tide gauge stations are further optimized and adjusted; finally, Kalman filtering and smoothing are implemented to estimate the optimal state quantity.
步骤三:分析结果输出和评价海平面上升成因,主要包括比较和量化海水质量的贡献,分析海水比容的贡献,分析重构海平面时间序列,解释海平面上升成因,以及不确定度分析。Step 3: Analyze the output results and evaluate the causes of sea level rise, mainly including comparing and quantifying the contribution of seawater mass, analyzing the contribution of seawater specific volume, analyzing and reconstructing the sea level time series, explaining the causes of sea level rise, and uncertainty analysis.
海平面数据同化框架在推测全球海水质量增加量的同时,还可以重构验潮站处的海平面长期变化趋势,并估计动态海平面变化的贡献。全球海水质量变化的空间特征服从输入的海平面指纹效应的空间特征,两者之间只存在振幅大小的差异,推测的海水质量变化与验潮站观测相兼容。在气候模式输出的动态海平面变化基础之上,结合随机变量的估计,将获取新的验潮站处动态海平面变化。如果推测的海水质量变化与新估计的动态海平面变化能够解释重构的海平面变化,则认为海平面上升的成因被成功揭示。由于数据同化考虑多个气候模式的输出,因此可以获取不同模式驱动的时间序列,估计它们之间的离散程度,反映推测结果的不确定度。The sea level data assimilation framework can not only infer the increase in global seawater mass, but also reconstruct the long-term trend of sea level changes at tide gauges and estimate the contribution of dynamic sea level changes. The spatial characteristics of global seawater mass changes obey the spatial characteristics of the input sea level fingerprint effect. There is only a difference in amplitude between the two. The inferred seawater mass changes are compatible with tide gauge observations. Based on the dynamic sea level changes output by the climate model, combined with the estimation of random variables, new dynamic sea level changes at tide gauges will be obtained. If the inferred seawater mass changes and the newly estimated dynamic sea level changes can explain the reconstructed sea level changes, it is considered that the cause of sea level rise has been successfully revealed. Since data assimilation considers the output of multiple climate models, time series driven by different models can be obtained, the degree of discreteness between them can be estimated, and the uncertainty of the inferred results can be reflected.
本发明取得的实验效果说明如下:The experimental effects obtained by the present invention are described as follows:
如图2(a)所示,本发明重构的全球平均海平面上升(global mean,实线)曲线及现有技术重构的海平面上升(虚线)曲线对比图;如图2(b)所示,海水质量(ocean mass,短虚线)、动态海平面(sterodynamic,长虚线)以及两者之和(Sum,长短虚线)的长期趋势,实线与如图2(a)相同;As shown in FIG2(a), a comparison diagram of the global mean sea level rise curve (global mean, solid line) reconstructed by the present invention and the sea level rise curve (dashed line) reconstructed by the prior art is shown; as shown in FIG2(b), the long-term trends of ocean mass (ocean mass, short dashed line), dynamic sea level (sterodynamic, long dashed line) and the sum of the two (Sum, long and short dashed lines), the solid line is the same as FIG2(a);
如图3所示,为本发明推测的海水质量与输入的海水质量对比图,实线表示本发明专利推测的全球海水质量增加(inferred ocean mass);虚线表示输入的海平面指纹总量(SLF total);As shown in FIG3 , it is a comparison diagram of the seawater mass inferred by the present invention and the input seawater mass, the solid line represents the inferred ocean mass increase in the present invention; the dotted line represents the input sea level fingerprint total (SLF total);
图4所示为海平面长期趋势(mm/yr)图:Figure 4 shows the long-term trend of sea level (mm/yr):
图4中的(a)为本发明重构的验潮站处海平面上升趋势图;图4中的(b)为本发明估计的海水质量与海水比容之和的趋势;图4中的(c)为趋势之差(a-b)。(a) in Figure 4 is a diagram of the sea level rise trend at the tide gauge station reconstructed by the present invention; (b) in Figure 4 is the trend of the sum of the seawater mass and the seawater specific volume estimated by the present invention; (c) in Figure 4 is the difference in trends (a-b).
图2(a)和图2(b)给出了数据同化的主要输出结果,对于重构的全球平均海平面,本发明的结果与参考文献的结果较为一致,且给出了推测的海水质量变化,结果显示,海水质量增加是海平面上升的主导因素,尤其是在1980年之前。推测的海水质量变化与新估计的动态海平面很好地解释了重构的全球平均海平面,为海平面上升成因研究提供了一个解读视角。Figures 2(a) and 2(b) show the main output results of data assimilation. For the reconstructed global mean sea level, the results of the present invention are consistent with those of the references, and the inferred changes in seawater mass are given. The results show that the increase in seawater mass is the dominant factor in sea level rise, especially before 1980. The inferred changes in seawater mass and the newly estimated dynamic sea level well explain the reconstructed global mean sea level, providing an interpretation perspective for the study of the causes of sea level rise.
对比输入的海水质量与推测的海水质量(图3),发现两者之间在1980年前后差异明显,尽管推测的海水质量是在数据同化理论框架下受验潮站记录的约束,但同时也受到气候模式输出的驱动,因此模式输出的准确度也会显著影响推测的海水质量变化。Comparing the input seawater quality with the inferred seawater quality (Figure 3), it is found that there is a significant difference between the two around 1980. Although the inferred seawater quality is constrained by tide station records under the framework of data assimilation theory, it is also driven by climate model output. Therefore, the accuracy of the model output will also significantly affect the inferred seawater quality changes.
除全球平均外,数据同化结果也能给出验潮站处海水质量变化及其对海平面上升的贡献,参见图4。在选取的全部验潮站中,推测的海水质量与新估计的动态海平面之和与重构的海平面上升趋势吻合,这反映在趋势之差(图4c)。该结果为认识局部海平面上升成因提供了新的解读视角。In addition to the global average, the data assimilation results can also give the changes in seawater quality at the tide gauge stations and their contribution to sea level rise, see Figure 4. In all the selected tide gauges, the sum of the inferred seawater quality and the newly estimated dynamic sea level is consistent with the reconstructed sea level rise trend, which is reflected in the trend difference (Figure 4c). This result provides a new perspective for understanding the causes of local sea level rise.
实施例二Embodiment 2
本实施例公开了利用验潮站记录推测海水质量变化的数据同化系统。This embodiment discloses a data assimilation system for inferring changes in seawater quality using tide gauge station records.
利用验潮站记录推测海水质量变化的数据同化系统,包括:The data assimilation system that uses tide gauge records to infer changes in seawater quality includes:
数据预处理模块,被配置为:选取验潮站,获取验潮站记录数据;计算全球陆地质量迁移变化,得到海平面指纹效应;提取气候模式的动态海平面变化,将动态海平面插值到验潮站记录数据处;The data preprocessing module is configured to: select tide stations and obtain tide station record data; calculate the global land mass migration changes to obtain the sea level fingerprint effect; extract the dynamic sea level changes of the climate model and interpolate the dynamic sea level to the tide station record data;
同化建模模块,被配置为:根据选取的验潮站建立观测方程,使用稀疏矩阵关联状态量和观测量;在每个验潮站处引入随机变量,弥补气候模式对局部动态海平面变化模拟的不足;确定验潮站初始时刻的状态,优化调整状态量的约束参数以及相邻验潮站之间的相关系数;基于卡尔曼滤波和平滑,估计最优状态量,对全球海水质量增加量进行推测。The assimilation modeling module is configured as follows: establish observation equations based on the selected tide gauge stations, and use sparse matrices to associate state quantities and observation quantities; introduce random variables at each tide gauge station to make up for the shortcomings of climate models in simulating local dynamic sea level changes; determine the state of the tide gauge station at the initial moment, optimize and adjust the constraint parameters of the state quantity and the correlation coefficient between adjacent tide gauge stations; estimate the optimal state quantity based on Kalman filtering and smoothing, and speculate on the increase in global seawater mass.
在本实施例中,我们使用matlab语言,自主编译了数据处理软件系统,能够实现海平面观测数据和模式数据的预处理,自动接入数据同化模块,同化吸收这些数据,运转卡尔曼滤波和平滑,并保存输出变量。In this embodiment, we use the MATLAB language to independently compile a data processing software system that can preprocess sea level observation data and model data, automatically access the data assimilation module, assimilate these data, run Kalman filtering and smoothing, and save output variables.
实施例三Embodiment 3
本实施例的目的是提供计算机可读存储介质。The purpose of this embodiment is to provide a computer-readable storage medium.
计算机可读存储介质,其上存储有计算机程序,该程序被处理器执行时实现如本公开实施例1所述的利用验潮站记录推测海水质量变化的数据同化方法中的步骤。A computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the steps in the data assimilation method for inferring changes in seawater quality using tide gauge station records as described in Example 1 of the present disclosure.
实施例四Embodiment 4
本实施例的目的是提供电子设备。The purpose of this embodiment is to provide an electronic device.
电子设备,包括存储器、处理器及存储在存储器上并可在处理器上运行的程序,所述处理器执行所述程序时实现如本公开实施例1所述的利用验潮站记录推测海水质量变化的数据同化方法中的步骤。An electronic device includes a memory, a processor, and a program stored in the memory and executable on the processor. When the processor executes the program, the steps in the data assimilation method for inferring changes in seawater quality using tide gauge station records as described in Example 1 of the present disclosure are implemented.
以上实施例二、三和四的装置中涉及的各步骤与方法实施例一相对应,具体实施方式可参见实施例一的相关说明部分。术语“计算机可读存储介质”应该理解为包括一个或多个指令集的单个介质或多个介质;还应当被理解为包括任何介质,所述任何介质能够存储、编码或承载用于由处理器执行的指令集并使处理器执行本发明中的任一方法。The steps involved in the apparatuses of the above embodiments 2, 3 and 4 correspond to the method embodiment 1, and the specific implementation methods can refer to the relevant description part of embodiment 1. The term "computer-readable storage medium" should be understood as a single medium or multiple media including one or more instruction sets; it should also be understood to include any medium that can store, encode or carry an instruction set for execution by a processor and enable the processor to execute any method of the present invention.
本领域技术人员应该明白,上述本发明的各模块或各步骤可以用通用的计算机装置来实现,可选地,它们可以用计算装置可执行的程序代码来实现,从而,可以将它们存储在存储装置中由计算装置来执行。本发明不限制于任何特定的硬件和软件的结合。Those skilled in the art should understand that the modules or steps of the present invention described above can be implemented by a general-purpose computer device, or alternatively, they can be implemented by a program code executable by a computing device, so that they can be stored in a storage device and executed by the computing device. The present invention is not limited to any specific combination of hardware and software.
上述虽然结合附图对本发明的具体实施方式进行了描述,但并非对本发明保护范围的限制,所属领域技术人员应该明白,在本发明的技术方案的基础上,本领域技术人员不需要付出创造性劳动即可做出的各种修改或变形仍在本发明的保护范围以内。Although the above describes the specific implementation mode of the present invention in conjunction with the accompanying drawings, it is not intended to limit the scope of protection of the present invention. Technical personnel in the relevant field should understand that various modifications or variations that can be made by technical personnel in the field without creative work on the basis of the technical solution of the present invention are still within the scope of protection of the present invention.
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