CN111350161A - Method for controlling boundary through estuary and coast model test - Google Patents

Method for controlling boundary through estuary and coast model test Download PDF

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CN111350161A
CN111350161A CN202010195173.9A CN202010195173A CN111350161A CN 111350161 A CN111350161 A CN 111350161A CN 202010195173 A CN202010195173 A CN 202010195173A CN 111350161 A CN111350161 A CN 111350161A
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杜德军
夏云峰
闻云呈
徐华
王晓俊
吴道文
陈靖
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Nanjing Hydraulic Research Institute of National Energy Administration Ministry of Transport Ministry of Water Resources
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Abstract

本发明提出了一种河口海岸模型试验控制边界的方法,根据研究需要,需要进行多个水文条件的研究,不同的水文条件有不同的试验控制边界参数。以往每个试验水文条件均需要进行费时费力的控制边界参数调整工作。该方法在首次模型率定的基础上得到一组控制边界参数后,通过相关分析等手段,总结设计出一套行之有效的、快捷的的方法,算出不同水文条件下的模型控制边界,大大提高模型试验的的效率。本发明在多个国家重点项目中得到成功应用,研究成果满足相关规范要求。

Figure 202010195173

The invention proposes a method for estuary and coastal model test control boundary. According to research needs, it is necessary to conduct research on multiple hydrological conditions, and different hydrological conditions have different experimental control boundary parameters. In the past, each experimental hydrological condition required time-consuming and labor-intensive adjustment of control boundary parameters. After obtaining a set of control boundary parameters on the basis of the first model calibration, this method summarizes and designs a set of effective and fast methods through correlation analysis and other means, and calculates the model control boundary under different hydrological conditions. Improve the efficiency of model testing. The invention has been successfully applied in many national key projects, and the research results meet the requirements of relevant specifications.

Figure 202010195173

Description

一种河口海岸模型试验控制边界的方法A Method of Controlling Boundaries in Estuarine and Coastal Model Tests

技术领域technical field

本发明涉及一种河口海岸模型试验控制边界的方法,属于河口海岸物理模型试验模型控制技术领域。The invention relates to a method for controlling boundary of an estuary and coastal model test, and belongs to the technical field of model control of estuary and coastal physical model tests.

背景技术Background technique

相似理论是物理模型试验研究的重要理论基础。1686年,牛顿提出动力相似的普遍定律,奠定了物理模型试验的理论基础。此后,河工逐渐兴盛,1956年南京水利科学研究院建立了我国第一个潮汐河口模型。通过河工模型等研究河口海岸潮波传播、流速分布、水沙时空分布、河床冲淤等规律;贯穿于工程设计的各个阶段,利用模型分析研究工程方案的效果、影响,为方案优化比选、方案设计及方案实施时机提供技术支撑。在我国,物理模型试验在三峡工程,长江南京以下深水航道整治,苏通长江大桥、沪通长江大桥、高铁大胜关长江大桥、港珠澳大桥等研究中得到了大量的成功应用,为国民经济建设提供了有力支撑。Similarity theory is an important theoretical basis for physical model test research. In 1686, Newton proposed the universal law of dynamic similarity, which laid the theoretical foundation for physical model tests. Since then, river engineering has gradually prospered. In 1956, the Nanjing Institute of Water Resources established the first tidal estuary model in my country. Through river engineering models, etc., the laws of estuarine and coastal tide wave propagation, flow velocity distribution, temporal and spatial distribution of water and sediment, and riverbed erosion and deposition are studied; throughout each stage of engineering design, the effect and impact of engineering plans are analyzed and studied by models, and the optimization, comparison and selection of plans are carried out. Provide technical support for program design and program implementation timing. In my country, physical model tests have been successfully applied in the research of the Three Gorges Project, the improvement of the deep water channel below Nanjing, the Sutong Yangtze River Bridge, the Hutong Yangtze River Bridge, the high-speed railway Dashengguan Yangtze River Bridge, and the Hong Kong-Zhuhai-Macao Bridge. Economic construction provides strong support.

模型试验是以相似理论为基础的,包括:几何相似、运动相似、动力相似等。相似的现象服从同一运动规律,为同一数学物理表达式所描述。因此,各物理量比尺间的关系,也必须受这些表达式的约束,不能任意选定。模型的准确与否需通过模型验证来检验。Model tests are based on similarity theory, including: geometric similarity, motion similarity, dynamic similarity, etc. Similar phenomena obey the same law of motion and are described by the same mathematical and physical expressions. Therefore, the relationship between the scales of various physical quantities must also be constrained by these expressions and cannot be arbitrarily selected. The accuracy of the model needs to be checked by model validation.

对于河口海岸模型,模型试验可分为模型率定、验证和方案试验三步。第一步,在模型制作、测控系统安装完成后进行的模型率定。率定和验证均选用实测资料来进行,约2~4组,选用一个有代表性的水文条件进行率定,通过调整模型糙率、模型局部地形修正、测控系统调试等技术手段,率定模型有关技术参数,同时得到率定的模型边界控制参数。率定工作量较大,往往花费半个月、1个月甚至更多的时间。第二步,用其他水文条件,验证模型的相似性,验证成功后同样会得到对应的模型控制参数,其工作量相对较小,但往往至少1周的时间。第三步,验证结束后,可以通过该模型进行方案试验研究,根据需要选用有代表性的水文条件进行试验,主要有洪季大潮、枯季大潮、大洪水、风暴潮等,根据航道通航、桥梁建设,还需选用平均流量大潮、20年一遇流量大潮、100年一遇流量大潮、300年一遇大潮。而这些试验条件的边界控制参数,也往往至少1周的时间,有时还只能对控制参数进行概化。For the estuary and coastal model, the model test can be divided into three steps: model calibration, verification and program test. The first step is to calibrate the model after the model is made and the measurement and control system is installed. Both calibration and verification are carried out with measured data, about 2 to 4 groups, and a representative hydrological condition is selected for calibration. Regarding the technical parameters, the calibrated model boundary control parameters are obtained at the same time. The workload is large, and it often takes half a month, a month or even more time. The second step is to use other hydrological conditions to verify the similarity of the models. After the verification is successful, the corresponding model control parameters will also be obtained. The workload is relatively small, but it usually takes at least one week. In the third step, after the verification is completed, the model can be used to carry out experimental research on the scheme, and representative hydrological conditions can be selected for testing according to needs, mainly including flood season high tide, dry season high tide, large flood, storm surge, etc. For bridge construction, it is also necessary to select the average flow tide, the 20-year flow tide, the 100-year flow tide, and the 300-year flow tide. The boundary control parameters of these test conditions are often at least one week, and sometimes the control parameters can only be generalized.

河口海岸模型中开边界通常采用潮位边界条件进行控制,不同模型或者同一模型但径流和潮流有差异,控制边界也会存在不同。因此,上述每组水文条件,都有不同的控制边界参数。The open boundary in the estuarine and coastal model is usually controlled by the tidal boundary condition. Different models or the same model but with differences in runoff and tidal current, the control boundary will also be different. Therefore, each group of hydrological conditions mentioned above has different control boundary parameters.

实践表明,边界控制参数的选取是模型试验中一项重要的且费时费力工作,在试验过程中往往经过长时间的多次尝试才能得到理想的控制边界,影响了河工模型试验的效率,这与现阶段高速发展的社会经济不相适应。Practice has shown that the selection of boundary control parameters is an important and time-consuming task in the model test. In the test process, it often takes a long time and many attempts to obtain the ideal control boundary, which affects the efficiency of the river engineering model test. At this stage, the rapid development of social economy is not suitable.

发明内容SUMMARY OF THE INVENTION

本发明所要解决的技术问题是,克服现有技术的不足而提供一种河口海岸模型试验控制边界的方法,该方法能够快速模型控制边界选择,并提供一种能够匹配多种以往水情以及今后实测水情的试验控制边界预报模型。The technical problem to be solved by the present invention is to overcome the deficiencies of the prior art and provide a method for controlling the boundary of an estuary and coastal model test. Experimental control boundary forecasting model for measured water regimes.

本发明提供了一种河口海岸模型试验控制边界的方法,其中模型控制边界是一组不同时刻的参数组成的曲线,该方法包括以下步骤:The invention provides a method for the control boundary of an estuary and coastal model test, wherein the model control boundary is a curve composed of a set of parameters at different times, and the method comprises the following steps:

第一步、根据实测水文资料对模型相似性进行率定。通过对模型修正、测控系统调试,修改模型下边界控制曲线,直到模型验证结果满足《海岸与河口潮流泥沙模拟技术规程》(JTST 231-2-2010)规范要求,得到一组与天然实测曲线对应的模型边界控制参数曲线;The first step is to calibrate the model similarity based on the measured hydrological data. By modifying the model, debugging the measurement and control system, and modifying the control curve of the lower boundary of the model, until the model verification results meet the requirements of the "Technical Regulations for Coastal and Estuary Tidal Sediment Simulation" (JTST 231-2-2010), a set of natural measured curves is obtained. Corresponding model boundary control parameter curve;

第二步、对率定的模型边界控制参数曲线与对应的天然实测曲线进行比较,发现两曲线间参数大小及相位均存在差异,这就表明实测数据不能直接作为模型边界控制参数,因此,其他试验条件的控制边界参数需要重新进行费时费力的控制边界参数调整工作;The second step is to compare the calibrated model boundary control parameter curve with the corresponding natural measured curve. It is found that there are differences in the magnitude and phase of the parameters between the two curves, which indicates that the measured data cannot be directly used as the model boundary control parameter. Therefore, other The control boundary parameters of the test conditions need to be re-adjusted for the time-consuming and laborious control boundary parameters;

第三步、本发明在模型率定成功的基础上,比较率定试验中得到的控制边界参数与实测数据曲线的关系,分析实测曲线与模型边界控制参数曲线的最大值、最小值的差异,将曲线最大值与最小值的差称作潮差,可得到两曲线间的潮差比a;In the third step, on the basis of the successful model calibration, the present invention compares the relationship between the control boundary parameters obtained in the calibration test and the measured data curve, and analyzes the difference between the maximum value and the minimum value of the measured curve and the model boundary control parameter curve, The difference between the maximum value and the minimum value of the curve is called the tidal range, and the tidal range ratio a between the two curves can be obtained;

第四步、继续分析天然实测曲线与模型边界控制参数曲线的最大值和最小值出现的时间,可得到两曲线间的相位差t;The fourth step, continue to analyze the time when the maximum and minimum values of the natural measured curve and the model boundary control parameter curve appear, and the phase difference t between the two curves can be obtained;

第五步、根据两曲线间的最大值、最小值、潮差比a、相位差t等参数,获得反映原始潮位数据与模型潮位控制参数之间关系的算法,该算法如下式所示,The fifth step is to obtain an algorithm reflecting the relationship between the original tide level data and the model tide level control parameters according to the parameters such as the maximum value, the minimum value, the tidal range ratio a, and the phase difference t between the two curves. The algorithm is shown in the following formula:

Zi=a1Pi-1+a2Pi+cZ i =a 1 P i-1 +a 2 P i +c

式中,Zi表示模型边界控制参数曲线中i时刻的控制参数计算值,Pi-1表示天然实测潮位曲线中i-1时刻的实测潮位值,Pi表示天然实测潮位曲线中i时刻的实测潮位值,i表示时刻,a1、a2均为系数,c为常数;In the formula, Z i represents the calculated value of the control parameter at time i in the model boundary control parameter curve, P i-1 represents the measured tide level value at time i-1 in the natural measured tide level curve, and P i represents the measured tide level value at time i in the natural measured tide level curve. The measured tide level value, i represents the time, a 1 and a 2 are coefficients, and c is a constant;

第六步、根据第五步的算法确定模型的其他试验的控制参数曲线,减小模型验证试验组数,省却大量的费时费力的试验控制边界参数调整工作,大大提高了模型试验效率。Step 6: Determine the control parameter curves of other tests of the model according to the algorithm of step 5, reduce the number of model validation test groups, save a lot of time-consuming and laborious test control boundary parameter adjustment work, and greatly improve the model test efficiency.

采用本发明的方法,首先根据实测水文资料多模型进行率定和验证试验,以保证模型与原型的相似性。在率定试验过程中,采取多次对模型潮位控制边界进行调试修改等措施,直到模型潮位与天然潮位相似性满足有关规范要求,这是模型验证中工作量最大的部分。在模型率定成功后,会得到一组与实测曲线对应的模型控制边界参数。由于两曲线存在明细的差异,不能直接用其他的实测曲线作为模型边界控制参数曲线。需要费时费力利用试验已得到其他试验条件的边界控制控制参数曲线,而需要验证的曲线有很多组(例如洪季大潮、枯季大潮、洪季小潮、枯季小潮等)的验证;同时,正式试验需要的水文条件也有多组,这样,需要根据试验确定的控制边界参数曲线少则3、4个,多则10个以上,导致选取上述控制边界是一个繁琐且必须的工作。本发明的核心在于,分析满足规范要求的控制边界与邻近实测潮位的关系,通过模型相似、数据插值和相关分析等手段,总结设计出一套行之有效的、快捷的的方法,算出不同水文条件下的模型控制边界。在模型率定成功的基础上,1周以上的验证试验可在1~2天内完成,大大提高模型试验效率;需要1周以上时间确定的方案试验控制曲线参数,可即时根据算法得到。By adopting the method of the present invention, calibration and verification tests are firstly carried out according to the multi-model of the measured hydrological data, so as to ensure the similarity between the model and the prototype. During the calibration test, several measures such as debugging and modifying the model tidal level control boundary were taken until the similarity between the model tidal level and the natural tidal level met the relevant specification requirements, which was the most labor-intensive part of the model verification. After the model calibration is successful, a set of model control boundary parameters corresponding to the measured curve will be obtained. Due to the detailed differences between the two curves, other measured curves cannot be directly used as model boundary control parameter curves. It is time-consuming and laborious to use the test to obtain the boundary control control parameter curve of other test conditions, and the curve that needs to be verified has many groups (such as flood season spring tide, dry season spring tide, flood season neap tide, dry season neap tide, etc.); There are also multiple sets of hydrological conditions required for the test. In this way, the control boundary parameter curves that need to be determined according to the test are as few as 3 or 4, and as many as 10 or more, resulting in the selection of the above control boundary is a tedious and necessary work. The core of the present invention is to analyze the relationship between the control boundary that meets the requirements of the specification and the adjacent measured tide level, and summarize and design a set of effective and fast methods by means of model similarity, data interpolation and correlation analysis to calculate different hydrological conditions. Conditional Model Control Boundaries. On the basis of the successful model calibration, the verification test of more than one week can be completed in 1 to 2 days, which greatly improves the efficiency of the model test; the control curve parameters of the plan test that need more than one week to be determined can be obtained immediately according to the algorithm.

作为本发明进一步的技术方案,其详细描述如下:As a further technical scheme of the present invention, its detailed description is as follows:

所述第一步中,根据第一组实测水文资料,一般为一个天文潮、25小时数据组成的潮位曲线,通过调整模型糙率、边界控制参数等数据,对模型进行率定;模型率定成功后,模型糙率确定,该模型与原型相似,同时会得到一组试验控制参数,即与实测水文资料对应的模型边界控制参数曲线。下面,准备比较该曲线与实测曲线,试图分析两曲线之间存在的关系,以便省却其中费时费力的边界控制参数调整工作,直接通过算法计算其他边界控制参数曲线。In the first step, according to the first group of measured hydrological data, which is generally a tide level curve composed of an astronomical tide and 25-hour data, the model is calibrated by adjusting data such as model roughness and boundary control parameters; After success, the roughness of the model is determined, the model is similar to the prototype, and a set of experimental control parameters, that is, the model boundary control parameter curve corresponding to the measured hydrological data, will be obtained. Next, prepare to compare the curve with the measured curve, and try to analyze the relationship between the two curves, so as to save the time-consuming and laborious adjustment of boundary control parameters, and directly calculate other boundary control parameter curves through algorithms.

所述第二步中,比较率定试验中得到的模型边界控制参数曲线与实测曲线之间的关系,发现,由于模型控制系统对控制曲线参数组成的控制指令的响应有个过程,同时模型边界与实测站的位置不一致,两曲线间最大值、最小值和相位存在差异;这表明其他水文条件的模型边界控制参数曲线需要重新进行控制边界参数调整工作才能使用。In the second step, comparing the relationship between the model boundary control parameter curve obtained in the calibration test and the measured curve, it is found that because the model control system has a process in responding to the control command composed of the control curve parameters, and the model boundary Inconsistent with the position of the measured station, there are differences in the maximum value, minimum value and phase between the two curves; this indicates that the model boundary control parameter curves of other hydrological conditions need to be re-adjusted before they can be used.

所述第三步中,首先分析两曲线的最大值和最小值,将邻近边界的潮位站的天然实测曲线的最大值、最小值分别记为Pmax、Pmin,率定得到的模型边界控制参数曲线的最大值、最小值分别记为Mmax、Mmin,根据下式计算两曲线间的潮差比a:In the third step, the maximum and minimum values of the two curves are first analyzed, and the maximum and minimum values of the natural measured curves of the tide station adjacent to the boundary are recorded as P max and P min respectively, and the obtained model boundary control is calculated. The maximum and minimum values of the parameter curves are recorded as M max and M min respectively, and the tidal range ratio a between the two curves is calculated according to the following formula:

a=(Mmax-Mmin)/(Pmax-Pmin);a=(M max - M min )/(P max - P min );

分析两曲线的最大值和最小值之后,发现i时刻实测潮位值Pi和边界控制参数曲线的潮位计算值Zi存在如下关系:After analyzing the maximum and minimum values of the two curves, it is found that the measured tide level value P i at time i and the tide level calculated value Z i of the boundary control parameter curve have the following relationship:

Zi=(Mmax-Mmin)/(Pmax-Pmin)×(Pi-Pmin)+Mmin (1)Z i =(M max -M min )/(P max -P min )×(P i -P min )+M min (1)

式中,Zi表示边界控制参数曲线的潮位计算值,Pi表示天然实测潮位曲线中i时刻的潮位值,Pmax、Pmin分别表示邻近边界的潮位站天然实测潮位曲线的最大值、最小值,Mmax、Mmin分别表示率定得到的模型边界控制参数曲线的最大值、最小值;In the formula, Z i represents the tidal level calculated value of the boundary control parameter curve, Pi represents the tidal level value at time i in the natural measured tidal level curve, P max and P min represent the maximum and minimum values of the natural measured tidal level curve of the tidal level station adjacent to the boundary, respectively. value, M max and M min respectively represent the maximum and minimum values of the model boundary control parameter curve obtained by calibration;

天然实测曲线中Pmax、Pmin是定值,率定过的模型边界控制参数曲线中,其Mmax、Mmin也是定值,并且由于a=(Mmax-Mmin)/(Pmax-Pmin),那么,上式就简化为:In the natural measured curve, P max and P min are fixed values. In the model boundary control parameter curve that has been calibrated, M max and M min are also fixed values, and because a=(M max -M min )/(P max - P min ), then the above formula is simplified to:

Zi=a(Pi-Pmin)+Mmin (2)Z i =a(P i -P min )+M min (2)

这样,经过计算处理后,我们成功使得实测曲线与率定得到的控制参数曲线的最大值和最小值一致,但存在相位差,需进行相位差修正。In this way, after calculation and processing, we have successfully made the maximum and minimum values of the measured curve and the calibrated control parameter curve consistent, but there is a phase difference, which needs to be corrected.

所述第四步中,分别分析天然实测曲线与模型边界控制参数曲线的最大值Pmax和Mmax出现的时间差Tmax差,最小值Pmin和Mmin出现的时间差Tmin差,发现Tmax差与Tmin差相差不大,二者取平均,可得两曲线的相位差,In the fourth step, the time difference Tmax between the maximum values Pmax and Mmax of the natural measured curve and the model boundary control parameter curve is analyzed respectively, and the time difference Tmin difference between the minimum values Pmin and Mmin occurs, and it is found that Tmax The difference is not much different from the T min difference , and the average of the two can be obtained to obtain the phase difference of the two curves,

t=(Tmax差+Tmin差)/2 (3)t=(T max difference + T min difference )/2 (3)

式中,t表示天然实测曲线与模型边界控制参数控制曲线间的相位差;In the formula, t represents the phase difference between the natural measured curve and the control curve of the model boundary control parameters;

若t=0,那么两曲线重合,若t<0,那么天然实测曲线的相位在前,若t>0,那么天然实测曲线的相位在后。实际模型试验过程中,由于模型试验控制精度需要,使得t值一般在-1~0之间。If t=0, then the two curves overlap; if t<0, then the phase of the natural measured curve is in the front; if t>0, then the phase of the natural measured curve is behind. In the actual model test process, the t value is generally between -1 and 0 due to the control accuracy of the model test.

所述第五步中,在确定两曲线间数据大小关系a及相位差t后,来推导边界控制参数曲线中参数的计算公式。考虑到两曲线现在只是存在相位差t,那么i时刻的Zi值肯定与i+t时刻的Pi+t相等,即:In the fifth step, after determining the data size relationship a and the phase difference t between the two curves, the calculation formula of the parameters in the boundary control parameter curve is deduced. Considering that there is only a phase difference t between the two curves, the value of Z i at moment i must be equal to P i+ t at moment i+t, namely:

Zi=Pi+t (4)Z i =P i+t (4)

式中,Zi表示i时刻模型边界控制参数曲线的计算值,Pi+t表示i-t时刻天然实测曲线的实测潮位值;In the formula, Z i represents the calculated value of the model boundary control parameter curve at time i, and P i+t represents the measured tide level value of the natural measured curve at time it;

由于i+t不一定是整数,那么Pi+t的值介于两个整点的数据之间,可插值,插值后带入式(4),得:Since i+t is not necessarily an integer, the value of P i+t is between the data of two integer points, which can be interpolated. After interpolation, it is brought into formula (4), and we get:

Zi=(int(t+1)-t)Pi+(t-int(t))Pi-1 (5)Z i =(int(t+1)-t)P i +(t-int(t))P i-1 (5)

合并第三步的(2)式和第五步的(5)式,有:Combining Equation (2) in the third step and Equation (5) in the fifth step, we have:

Zi=(a(Pi-Pmin)+Mmin+(int(t+1)-t)Pi+(t-int(t))Pi-1)/2 (6)Z i =(a(P i -P min )+M min +(int(t+1)-t)P i +(t-int(t))P i-1 )/2 (6)

简化该式,则:Simplify this formula, then:

Zi=(t-int(t))/2Pi-1+(a+int(t+1)-t))/2Pi+(Mmin-aPmin)/2Z i =(t-int(t))/2P i-1 +(a+int(t+1)-t))/2P i +(M min -aP min )/2

令a1=(t-int(t))/2,a2=(a+int(t+1)-t))/2,c=(Mmin-aPmin)/2,进一步简化式(6),得到需要的模型边界控制参数计算公式:Let a 1 =(t-int(t))/2, a 2 =(a+int(t+1)-t))/2, c=(M min -aP min )/2, further simplify the formula ( 6), obtain the required model boundary control parameter calculation formula:

Zi=a1Pi-1+a2Pi+c (7)Z i =a 1 P i-1 +a 2 P i +c (7)

式中,Zi表示i时刻的控制参数计算值,Pi表示天然实测潮位曲线中i时刻的实测潮位值,i表示时刻,其它参数同前。In the formula, Z i represents the calculated value of the control parameters at time i, P i represents the measured tide level value at time i in the natural measured tide level curve, i represents the time, and other parameters are the same as before.

由上可知,a1、a2和c的值计算公式如下:It can be seen from the above that the calculation formulas for the values of a 1 , a 2 and c are as follows:

a1=(t-int(t))/2a 1 =(t-int(t))/2

a2=(a+int(t+1)-t)/2a 2 =(a+int(t+1)-t)/2

c=(Mmin-aPmin)/2c=(M min -aP min )/2

式中,t为两曲线间的相位差,a为两曲线间的潮差比,Mmin为率定得到的模型边界控制参数曲线的最小值,Pmin为天然实测曲线的最小值。In the formula, t is the phase difference between the two curves, a is the tidal range ratio between the two curves, M min is the minimum value of the model boundary control parameter curve obtained by calibration, and P min is the minimum value of the natural measured curve.

在模型率定确定模型边界控制参数曲线后,可根据(7)式计算各个时刻控制参数的计算值,省却大量的费时费力试验参数曲线调整过程。After the model is calibrated to determine the model boundary control parameter curve, the calculated value of the control parameter at each moment can be calculated according to the formula (7), saving a lot of time-consuming and laborious test parameter curve adjustment process.

本发明采用以上技术方案与现有技术相比,具有以下技术效果:Compared with the prior art, the present invention adopts the above technical scheme, and has the following technical effects:

(1)本发明提出了一种河口海岸物理模型控制边界的计算方法;(1) The present invention proposes a method for calculating the control boundary of a physical model of an estuary and coast;

(2)根据本发明提出的方法能够快速计算各模型验证和模型试验水文条件下的物理模型试验控制边界;(2) The method proposed according to the present invention can quickly calculate the physical model test control boundary under the hydrological conditions of each model verification and model test;

(3)本发明提出的方法可以用于计算动床物理模型的控制边界,而无需利用概化控制曲线;(3) The method proposed by the present invention can be used to calculate the control boundary of the physical model of the moving bed without using the generalized control curve;

(4)通过本发明的方法,传统的1周~半个月时间内的模型验证,可在1~2天时间内完成,短则1周的试验曲线确定工作可通过计算即时确定,大大缩短了工作时间。(4) Through the method of the present invention, the traditional model verification within one week to half a month can be completed within 1 to 2 days, and the short one-week test curve determination work can be determined immediately by calculation, which greatly shortens the time. working hours.

本发明根据研究需要,需要进行多个水文条件的研究,不同的水文条件有不同的试验控制边界参数。以往每个试验水文条件均需要进行费时费力的控制边界参数调整工作。该方法在首次模型率定的基础上得到一组控制边界参数后,通过相关分析等手段,总结设计出一套行之有效的、快捷的的方法,算出不同水文条件下的模型控制边界,大大提高模型试验的的效率。本发明在多个国家重点项目中得到成功应用,研究成果满足相关规范要求。According to the research needs, the present invention needs to conduct research on multiple hydrological conditions, and different hydrological conditions have different experimental control boundary parameters. In the past, each experimental hydrological condition required time-consuming and labor-intensive adjustment of control boundary parameters. After obtaining a set of control boundary parameters on the basis of the first model calibration, this method summarizes and designs a set of effective and fast methods through correlation analysis and other means, and calculates the model control boundary under different hydrological conditions. Improve the efficiency of model testing. The invention has been successfully applied in many national key projects, and the research results meet the requirements of relevant specifications.

附图说明Description of drawings

图1为本发明中河口海岸模型试验控制边界的方法的流程图。Fig. 1 is a flow chart of the method for controlling the boundary of the estuarine and coastal model test in the present invention.

图2为本发明中长江河口段模型率定控制曲线和实测吴淞口站潮位过程线的比较图。FIG. 2 is a comparison diagram of the model calibration control curve of the mouth section of the Yangtze River in the present invention and the measured tidal level process line of Wusongkou Station.

图3为本发明中长江河口段吴淞口潮位与计算控制参数的比较图。FIG. 3 is a comparison diagram of the tidal level of Wusongkou in the mouth of the Yangtze River and the calculated control parameters in the present invention.

图4为本发明中长江河口段模型动床模型试验概率化控制曲线及计算控制曲线图。Fig. 4 is a probabilistic control curve and a calculation control curve diagram of a moving bed model test of a model in the mouth of the Yangtze River in the present invention.

具体实施方式Detailed ways

下面结合附图对本发明的技术方案做进一步的详细说明。这些实施例仅用于说明本发明而不用于限制本发明的范围。The technical solutions of the present invention will be further described in detail below with reference to the accompanying drawings. These examples are only intended to illustrate the present invention and not to limit the scope of the present invention.

如图1所示,本发明河口海岸模型试验控制边界的方法,包括以下步骤:As shown in Figure 1, the method for controlling the boundary of the estuary and coastal model test of the present invention comprises the following steps:

(1)模型制作、测控系统安装完成后,根据第一组验证试验水文条件开始模型率定,初始边界控制参数曲线可采用邻近的实测水位站曲线(简称“实测曲线”)。将模型模拟的数据与天然实测的数据进行对比,对模型修正、测控系统调试,修改模型下边界控制曲线,直到模型率定结果满足《海岸与河口潮流泥沙模拟技术规程》(JTST231-2-2010)规范要求,至此率定成功。(1) After the model is made and the measurement and control system is installed, the model calibration is started according to the hydrological conditions of the first set of verification tests. The initial boundary control parameter curve can be the curve of the adjacent measured water level station (referred to as "measured curve"). Compare the data simulated by the model with the measured data, correct the model, debug the measurement and control system, and modify the control curve of the lower boundary of the model until the model calibration results meet the "Technical Regulations for Coastal and Estuary Tide and Sediment Simulation" (JTST231-2- 2010) specification requirements, so far the rate has been successful.

(2)率定成功后,得到一组模型边界控制参数曲线,与“实测曲线”的关系进行比较,数据对比见表1,图形比较见图1。由图表可知,两曲线间存在相位差,最大值和最小值也会存在差异,因此实测数据不能直接作为模型边界的控制参数。(2) After the calibration is successful, a set of model boundary control parameter curves are obtained, and the relationship with the "measured curve" is compared. The data comparison is shown in Table 1, and the graph comparison is shown in Figure 1. It can be seen from the chart that there is a phase difference between the two curves, and there will also be a difference between the maximum and minimum values. Therefore, the measured data cannot be directly used as the control parameters of the model boundary.

(3)分析各曲线最大值与最小值的差,在河口海岸模型中专业术语叫“潮差”,计算得到两曲线潮差的比值a。(3) Analyze the difference between the maximum value and the minimum value of each curve. In the estuary and coast model, the professional term is called "tidal range", and the ratio a of the tidal range between the two curves is calculated.

(4)利用图形法比较两曲线平均潮位处的时间差,可作为两曲线间的相位差,得相位差t。(4) Comparing the time difference at the average tide level of the two curves by the graphical method can be used as the phase difference between the two curves to obtain the phase difference t.

(5)通过对潮差比值a和相位差t的分析,得到控制曲线参数的计算公式:(5) Through the analysis of the tidal range ratio a and the phase difference t, the calculation formula of the control curve parameters is obtained:

Zi=a1Pi-1+a2Pi+c (7)Z i =a 1 P i-1 +a 2 P i +c (7)

式中:Zi——计算i时刻的控制参数,单位:m;In the formula: Z i ——the control parameter at time i is calculated, unit: m;

Pi——实测潮位曲线中i时刻的值,单位:m;P i ——the value at time i in the measured tide level curve, unit: m;

i——时刻,单位:小时; i - time, unit: hour;

a1、a2——系数,a1=(t-int(t))/2,a2=(a+int(t+1)-t)/2;a 1 , a 2 - coefficients, a 1 =(t-int(t))/2, a 2 =(a+int(t+1)-t)/2;

a——两曲线潮差比,a=(Mmax-Mmin)/(Pmax-Pmin)a——the tidal range ratio of the two curves, a=(M max -M min )/(P max -P min )

c——常数,c=(Mmin-aPmin)/2c——constant, c=(M min -aP min )/2

Pmax、Pmin——实测邻近边界的潮位站潮位曲线最大值、最小值,单位:m;P max , P min ——the maximum and minimum values of the tide level curve of the measured tide level station adjacent to the boundary, unit: m;

Mmax、Mmin——率定得到的模型控制边界参数曲线曲线的最大值、最小值,单位:m。M max , M min ——the maximum and minimum values of the model control boundary parameter curve obtained by calibration, unit: m.

(6)根据上述计算公式,计算模型试验的控制边界。各个水文条件下邻近潮位站的实测潮位曲线由有关水文分析计算得到。一般试验条件达8组或更多,短则1周的工作量通过本发明的计算方法可即时确定。(6) Calculate the control boundary of the model test according to the above calculation formula. The measured tide level curves of adjacent tide level stations under various hydrological conditions are calculated from the relevant hydrological analysis. The general test conditions are 8 groups or more, and the workload of one week can be instantly determined by the calculation method of the present invention.

本发明的方法已经在国家重点试验室南京水利科学研究院长江河口段模型、孟加拉PAYRA电厂模型、常泰长江大桥物理模型中得到成功应用。The method of the invention has been successfully applied in the estuary model of the Yangtze River of the Nanjing Institute of Water Resources Research, a national key laboratory, the model of the PAYRA power plant in Bangladesh, and the physical model of the Changtai Yangtze River Bridge.

实施例1Example 1

本实施例以国家重点实验室长江河口段模型为例计算其长江南支控制边界参数曲线。In this embodiment, the State Key Laboratory of the Yangtze River Estuary Model is used as an example to calculate the control boundary parameter curve of the southern branch of the Yangtze River.

国家重点实验室长江河口段模型位于南京水利科学研究院的铁心桥基地,属于水文水资源与水利工程科学国家重点实验室。模型长近300m,相当于天然190km。模型水平比尺为655,垂直比尺为100。长江口为中等强度潮汐河口,上游有径流下泄,模型下边界吴淞口受潮汐控制。本实施例的模型建于2005年,在2017年因国家重大仪器开发专项研发需要进行了升级改造。改造后,包括下边界吴淞口在内的控制边界,需率定和验证,给出各个验证水文条件和试验水文条件的控制边界。The State Key Laboratory of the Yangtze Estuary Model is located in the Tiexinqiao Base of the Nanjing Institute of Water Resources, which belongs to the State Key Laboratory of Hydrology, Water Resources and Hydraulic Engineering Science. The model is nearly 300m long, equivalent to 190km in nature. The model has a horizontal scale of 655 and a vertical scale of 100. The Yangtze River Estuary is a medium-strength tidal estuary with runoff in the upper reaches, and the Wusong Mouth, the lower boundary of the model, is controlled by tides. The model of this embodiment was built in 2005, and was upgraded in 2017 due to the special research and development needs of the national major instrument development. After the reconstruction, the control boundary including the lower boundary Wusongkou needs to be calibrated and verified, and the control boundary of each verification hydrological condition and experimental hydrological condition is given.

本次验证水文条件有3组,下游吴淞口边界需提供6组控制边界:There are 3 sets of hydrological conditions in this verification, and 6 sets of control boundaries should be provided for the downstream Wusongkou boundary:

(1)2015年9月实测水文资料,大、小潮。测期平均流量为30000m3/s。(1) Measured hydrological data in September 2015, large and neap tides. The average flow during the survey period is 30000m 3 /s.

(2)2018年8月实测水文资料,大、小潮,测期平均流量为37780m3/s。(2) The hydrological data measured in August 2018, the spring tide and the neap tide, the average flow during the measurement period was 37780m 3 /s.

(3)2019年6月实测水文资料,大、小潮,测期平均流量为46000m3/s。(3) The measured hydrological data in June 2019, the spring tide and the neap tide, the average flow during the measurement period was 46000m 3 /s.

试验水文条件共有定床试验水文条件和动床试验水文条件两大组:The test hydrological conditions are divided into two groups: fixed-bed test hydrological conditions and moving-bed test hydrological conditions:

(1)定床试验水文条件6组:枯季大潮、洪季大潮、97风暴潮、98洪水大潮、20年一遇流量大潮、100年一遇流量大潮和300年一遇流量大潮;上游流量分别为16500m3/s、56800m3/s、45500m3/s、85000m3/s、85000m3/s、96000m3/s和100400m3/s,下游边界因上游流量不同和下游潮汐强弱均存在差异;(1) 6 groups of hydrological conditions for fixed bed test: dry season spring tide, flood season spring tide, 97 storm surge, 98 flood tide, 20-year flow tide, 100-year flow tide and 300-year flow tide; upstream flow They are 16500m 3 /s, 56800m 3 /s, 45500m 3 /s, 85000m 3 /s, 85000m 3 /s, 96000m 3 /s and 100400m 3 /s, respectively. The downstream boundary exists due to different upstream flow and downstream tidal strength. difference;

(2)动床试验水文条件5组:平常水沙年、2010丰水年、100年一遇流量过程年、300年一遇流量过程年和连续几个水文年;上游流量为对应的或优化的年流量过程,下游边界为匹配的潮位过程。(2) 5 groups of hydrological conditions for moving bed test: normal flood and sediment year, 2010 wet year, 100-year flow process year, 300-year flow process year, and several consecutive hydrological years; upstream flow is corresponding or optimized The annual flow process of , and the downstream boundary is the matching tidal level process.

综上所述,吴淞口边界需提供的试验控制曲线共计17组。In summary, there are a total of 17 sets of experimental control curves that need to be provided at the Wusongkou boundary.

(1)模型制作、测控系统安装完成,采用2015年9月实测水文资料模型率定,测量期间上游径流为30000m3/s,吴淞口潮位站距离控制边界约2.0m。首先按照邻近的吴淞口站的实测水位站曲线(简称“实测曲线”)的水位进行控制,该站距离控制边界约2.0m。对模型模拟的数据与天然实测的数据进行对比,对模型修正、测控系统调试,修改模型下边界控制曲线,直到模型验证结果满足《海岸与河口潮流泥沙模拟技术规程》(JTST 231-2-2010)规范要求,率定试验完成。(1) Model making and installation of measurement and control system are completed. The model is calibrated using the measured hydrological data in September 2015. During the measurement period, the upstream runoff is 30,000m 3 /s, and the Wusongkou tide level station is about 2.0m away from the control boundary. First, control the water level according to the measured water level station curve (referred to as "measured curve") of the adjacent Wusongkou Station, which is about 2.0m away from the control boundary. Compare the data simulated by the model with the measured data, modify the model, debug the measurement and control system, and modify the control curve of the lower boundary of the model until the model verification results meet the "Technical Regulations for Coastal and Estuary Tide and Sediment Simulation" (JTST 231-2- 2010) specification requirements, and the calibration test was completed.

(2)率定试验完成后,获得吴淞口模型边界控制参数曲线和实测吴淞口站潮位过程线,二者的比较结果见图2,数据列表见表1。由图2可见,两曲线间存在差别,这说明此模型中,最终模型控制边界不能用实测站或已有曲线直接用来控制。(2) After the calibration test is completed, the boundary control parameter curve of the Wusongkou model and the measured tide level hydrograph of Wusongkou Station are obtained. The comparison results of the two are shown in Figure 2, and the data list is shown in Table 1. It can be seen from Figure 2 that there is a difference between the two curves, which means that in this model, the control boundary of the final model cannot be directly controlled by the measured station or the existing curve.

表1 模型率定控制曲线与实测吴淞口站潮位过程数据Table 1 Model calibration control curve and measured tidal level process data at Wusongkou Station

Figure BDA0002417338310000091
Figure BDA0002417338310000091

(3)根据上表中数据,有:(3) According to the data in the above table, there are:

Pmax=2.33,Pmin=-0.68,Mmax=2.31,Mmin=-0.35,那么:P max =2.33, P min =-0.68, M max =2.31, M min =-0.35, then:

a=(Mmax-Mmin)/(Pmax-Pmin)=0.884。a=(M max - M min )/(P max - P min )=0.884.

(4)利用图形法,量取两曲线时间差以得到相位差,有t=-0.33小时。(4) Using the graphic method, measure the time difference between the two curves to obtain the phase difference, with t=-0.33 hours.

(5)根据上述数据计算式(7)中的系数及常数。(5) The coefficients and constants in the formula (7) are calculated from the above data.

a1=(t-int(t))/2=(-0.33-int(-0.33))/2=0.335a 1 =(t-int(t))/2=(-0.33-int(-0.33))/2=0.335

a2=(a+int(t+1)-t)/2=(0.884+int(-0.33+1)+0.33)/2=0.607a 2 =(a+int(t+1)-t)/2=(0.884+int(-0.33+1)+0.33)/2=0.607

c=(Mmin-aPmin)/2=(-0.347+0.884×0.68)/2=0.13c=(M min -aP min )/2=(-0.347+0.884×0.68)/2=0.13

那么,式(7)可写为:Then, equation (7) can be written as:

Zi=0.335Pi-1+0.607Pi+0.13Z i =0.335P i-1 +0.607P i +0.13

该算式就是长江河口段模型边界控制参数的计算公式。根据各试验条件下不同的吴淞口潮位过程曲线值Pi,该曲线由天然实测或数学模型计算提供,可计算得到对应模型下边界模型控制参数曲线,见图3。This formula is the calculation formula of the boundary control parameters of the model in the mouth of the Yangtze River. According to the different Wusongkou tidal level process curve values P i under various test conditions, the curve is provided by natural measurement or mathematical model calculation, and the corresponding model lower boundary model control parameter curve can be obtained by calculation, as shown in Figure 3.

按同样的方式,可得动床模型试验下边界控制参数曲线,计算的平常水沙年径流控制参数曲线见图4,该图中概化曲线参数为模型改造前无公式计算的控制曲线。In the same way, the lower boundary control parameter curve of the moving bed model test can be obtained. The calculated average annual runoff control parameter curve is shown in Figure 4. The generalized curve parameters in this figure are the control curves without formula calculation before the model transformation.

上述模型经验证并确定定床、动床模型试验控制参数后,进行了多项国家重大专项、水利和交通等重大科技项目的研究。主要有:After the above models have been verified and the control parameters of fixed-bed and moving-bed model tests have been determined, a number of national major special projects, water conservancy and transportation and other major scientific and technological projects have been studied. There are:

(1)交通运输建设科技项目(2011 3287 4660):长江福姜沙、通州沙和白茆沙深水航道系统治理关键技术研究;(1) Transportation Construction Science and Technology Project (2011 3287 4660): Research on key technologies of deep water channel system governance in Fujiangsha, Tongzhousha and Baimaosha in the Yangtze River;

(2)国家重大科学仪器设备开发专项(2011YQ070055):我国大型河工模型试验智能测控系统开发;(2) National Major Scientific Instrument and Equipment Development Project (2011YQ070055): Development of intelligent measurement and control system for large-scale river engineering model tests in my country;

(3)国家863计划(2012AA112508):潮汐分汊河段深水航道整治技术研究;(3) National 863 Program (2012AA112508): Research on deep water channel regulation technology in the tidal branch section;

(4)江苏省水利科技项目(2015004):变化环境下长江江苏段河道演变规律及综合治理关键技术研究;(4) Jiangsu Provincial Water Conservancy Science and Technology Project (2015004): Research on the evolution law of the Yangtze River in the Jiangsu section of the Yangtze River and key technologies for comprehensive management;

(5)长江南京以下12.5米深水航道整治工程一期工程、二期工程;长江澄通河段综合整治工程;(5) Phase I and Phase II of the 12.5-meter deep-water channel renovation project below Nanjing in the Yangtze River; comprehensive renovation project in the Chengtong section of the Yangtze River;

(6)沪通长江大桥、常泰长江大桥、盐泰锡常宜过江通道、中俄天然气过江管道、北沿江过江通道等桥梁或隧道工程。(6) Bridge or tunnel projects such as Hutong Yangtze River Bridge, Changtai Yangtze River Bridge, Yantaixi-Changyi River Crossing Channel, Sino-Russian Natural Gas Crossing River Pipeline, and Beiyan River Crossing River Channel.

Claims (6)

1.一种河口海岸模型试验控制边界的方法,其特征在于,包括以下步骤:1. a method for estuary and coastal model test control boundary, is characterized in that, comprises the following steps: 第一步、根据实测水文资料对模型相似性进行率定,通过对模型修正、测控系统调试,修改模型下边界控制曲线,直到模型验证结果满足《海岸与河口潮流泥沙模拟技术规程》(JTST 231-2-2010)规范要求,得到一组与天然实测曲线对应的模型边界控制参数曲线;The first step is to calibrate the similarity of the model according to the measured hydrological data. By modifying the model and debugging the measurement and control system, the lower boundary control curve of the model is modified until the model verification results meet the "Coastal and Estuary Tidal Current and Sediment Simulation Technical Regulations" (JTST). 231-2-2010) specification requirements to obtain a set of model boundary control parameter curves corresponding to the natural measured curves; 第二步、对率定的模型边界控制参数曲线与对应的天然实测曲线进行比较;The second step is to compare the calibrated model boundary control parameter curve with the corresponding natural measured curve; 第三步、分析天然实测曲线与模型边界控制参数曲线的最大值、最小值的差异,将最大值与最小值的差称作潮差,可得到两曲线间的潮差比a;The third step is to analyze the difference between the maximum value and the minimum value of the natural measured curve and the model boundary control parameter curve, and the difference between the maximum value and the minimum value is called the tidal range, and the tidal range ratio a between the two curves can be obtained; 第四步、通过分析天然实测曲线与模型边界控制参数曲线的最大值和最小值出现的时间,可得到两曲线间的相位差t;The fourth step, by analyzing the time when the maximum and minimum values of the natural measured curve and the model boundary control parameter curve appear, the phase difference t between the two curves can be obtained; 第五步、根据两曲线间的最大值、最小值、潮差比a、相位差t,获得反映原始潮位数据与模型潮位控制参数之间关系的算法,该算法如下式所示,The fifth step is to obtain an algorithm reflecting the relationship between the original tide level data and the model tide level control parameters according to the maximum value, minimum value, tidal range ratio a, and phase difference t between the two curves. The algorithm is shown in the following formula: Zi=a1Pi-1+a2Pi+cZ i =a 1 P i-1 +a 2 P i +c 式中,Zi表示模型边界控制参数曲线中i时刻的控制参数计算值,Pi-1表示天然实测曲线中i-1时刻的实测潮位值,Pi表示天然实测曲线中i时刻的实测潮位值,i表示时刻,a1、a2均为系数,c为常数;In the formula, Z i represents the calculated value of the control parameter at time i in the model boundary control parameter curve, P i-1 represents the measured tide level value at time i-1 in the natural measured curve, and P i represents the measured tide level at time i in the natural measured curve value, i represents the time, a 1 and a 2 are coefficients, and c is a constant; 第六步、根据第五步的算法确定其他试验的控制参数曲线,然后进行模型试验。The sixth step is to determine the control parameter curves of other tests according to the algorithm of the fifth step, and then carry out the model test. 2.根据权利要求1所述一种河口海岸模型试验控制边界的方法,其特征在于,所述第一步中,根据一组实测水文资料,通过调整模型糙率、边界控制参数,对模型进行率定;模型率定成功后,模型糙率确定,该模型与原型相似,同时得到一组试验控制参数。2. the method for a kind of estuarine and coastal model test control boundary according to claim 1, is characterized in that, in the described first step, according to a group of measured hydrological data, by adjusting model roughness, boundary control parameter, carry out the model to the model. Calibration; after the model calibration is successful, the roughness of the model is determined, the model is similar to the prototype, and a set of experimental control parameters are obtained at the same time. 3.根据权利要求1所述一种河口海岸模型试验控制边界的方法,其特征在于,所述第二步中,比较率定试验中得到的模型边界控制参数曲线与实测曲线之间的关系,由于模型控制系统对控制曲线参数组成的控制指令的响应有个过程,同时模型边界与实测站的位置不一致,两曲线间最大值、最小值和相位存在差异。3. the method for a kind of estuary and coast model test control boundary according to claim 1, is characterized in that, in the described second step, compare the relationship between the model boundary control parameter curve obtained in the calibration test and the measured curve, Since the response of the model control system to the control command composed of the control curve parameters has a process, and the model boundary is inconsistent with the position of the measured station, there are differences in the maximum value, minimum value and phase between the two curves. 4.根据权利要求1所述一种河口海岸模型试验控制边界的方法,其特征在于,所述第三步中,首先分析两曲线的最大值和最小值,将邻近边界的潮位站的天然实测曲线的最大值、最小值分别记为Pmax、Pmin,率定得到的模型边界控制参数曲线的最大值、最小值分别记为Mmax、Mmin,根据下式计算两曲线间的潮差比a,4. the method for a kind of estuarine coast model test control boundary according to claim 1, is characterized in that, in the described 3rd step, at first analyze the maximum value and minimum value of two curves, the natural actual measurement of the tide level station adjacent to the boundary is The maximum and minimum values of the curve are recorded as P max and P min respectively, and the maximum and minimum values of the model boundary control parameter curve obtained by calibration are respectively recorded as M max and M min , and the tidal difference between the two curves is calculated according to the following formula than a, a=(Mmax-Mmin)/(Pmax-Pmin)。a=(M max - M min )/(P max - P min ). 5.根据权利要求1所述一种河口海岸模型试验控制边界的方法,其特征在于,所述第四步中,分别分析天然实测曲线与模型边界控制参数曲线的最大值Pmax和Mmax出现的时间差Tmax差,最小值Pmin和Mmin出现的时间差Tmin差,可得两曲线的相位差,5. the method for a kind of estuary model test control boundary according to claim 1, is characterized in that, in the described 4th step, the maximum value Pmax and Mmax of analyzing natural measured curve and model boundary control parameter curve respectively appear. The time difference T max is the difference between the minimum values P min and M min , the time difference T min is the difference between the minimum values P min and M min, the phase difference between the two curves can be obtained, t=(Tmax差+Tmin差)/2t=(T max difference + T min difference )/2 式中,t表示天然实测曲线与模型边界控制参数控制曲线间的相位差;In the formula, t represents the phase difference between the natural measured curve and the control curve of the model boundary control parameters; 若t=0,那么两曲线重合,若t<0,那么天然实测曲线的相位在前,若t>0,那么天然实测曲线的相位在后。If t=0, then the two curves overlap; if t<0, then the phase of the natural measured curve is in the front; if t>0, then the phase of the natural measured curve is behind. 6.根据权利要求1所述一种河口海岸模型试验控制边界的方法,其特征在于,所述第五步中,通过下式计算a1、a2和c的值,6. the method for a kind of estuary and coastal model test control boundary according to claim 1, is characterized in that, in described 5th step, calculate the value of a 1 , a 2 and c by following formula, a1=(t-int(t))/2a 1 =(t-int(t))/2 a2=(a+int(t+1)-t)/2a 2 =(a+int(t+1)-t)/2 c=(Mmin-aPmin)/2c=(M min -aP min )/2 式中,t为两曲线间的相位差,a为两曲线间的潮差比,Mmin为率定得到的模型边界控制参数曲线的最小值,Pmin为天然实测曲线的最小值。In the formula, t is the phase difference between the two curves, a is the tidal range ratio between the two curves, M min is the minimum value of the model boundary control parameter curve obtained by calibration, and P min is the minimum value of the natural measured curve.
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