CN107168926A - Consider the Flood Frequency Analysis method of reservoir operation influence - Google Patents
Consider the Flood Frequency Analysis method of reservoir operation influence Download PDFInfo
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Abstract
The present invention provides a kind of Flood Frequency Analysis method for considering reservoir operation influence, and this method can be applied to consider in the Flood Frequency Analysis research under the influence of reservoir operation, for the hydrological characteristics under the influence of mankind's activity to change and provide the technical support of science.Flood Frequency Analysis method provided by the present invention, it is characterised in that comprise the following steps：Step 1：The dependency relation of reservoir capacity and storage outflow is obtained with ga ge relation according to reservoir capacity and reservoir surface area, ga ge relation, and storage outflow；Step 2：Outbound peb process is put in storage using simplifying triangle manner processing, storage outbound gore product moment is that the reservoir maximum water of regulating and storing of flood into reservoir formation obtains water balance relational expression；Step 3：Simultaneous solution step 1 and 2 obtained relational expressions, inquire into the relational expression of storage outflow and reservoir inflow, and the relational expression is substituted into without the flood frequency formula under the influence of reservoir operation, derive the flood frequency formula under the influence of reservoir operation.
Description
Technical field
The invention belongs to Flood Frequency Analysis technical field, and in particular to consider the Flood Frequency Analysis of reservoir operation influence
Method.
Background technology
Flood Frequency Analysis method can be used for Derivation Design flood, be widely used in flood control works practice.Traditional research
Method mainly includes：Design Flood Calculation guide is write nineteen sixty-eight in the U.S.；Irish national university professor Cunnane is by the world
Meteorological organization (WMO) is entrusted, and publication was write in 1989《The statistical distribution of Flood Frequency Analysis》；Hosking and Wallis
The Regional Flood Frequency Analysis method proposed based on linear moment for 1997；China carries out flood since the 1950s
Water frequency analysis works, in frequency curve line style, empirical frequency formula, method for parameter estimation, designed flood hydrograph amplification etc.
Aspect has carried out more in-depth study.
Eagleson first proposed the flood frequency curve derivation of equation method based on physical mechanism, and this method is mainly wrapped
Setting and runoff peak value and rainfall transformational relation containing precipitation and runoff model.Sivapalan is sharp by climate change and soil
With etc. factor include in Flood Frequency Analysis, derived consider seasonal effect under flood frequency formula.Botter assumes precipitation
Poisson distribution is obeyed, by embodying the model parameter of climate change and Impact of land use, the flood based on physical mechanism has been derived
Water frequency curve analytic modell analytical model.
Traditional research lays particular emphasis on the influence for considering climate change and land use to Flood Frequency Analysis, but ignores water
Storehouse scheduling carries out redistributing the influence brought to the water resource space-time characteristic under nature.A small amount of research shows reservoir construction
It is front and rear to there is a certain degree of reduction to act on to flood flood peak magnanimity, but specific influence of the reservoir on Flood Frequency Analysis not yet have
Analytic formula.
The content of the invention
The present invention is carried out to solve the above problems, it is therefore intended that provide a kind of flood for considering reservoir operation influence
Water frequency analysis method.The present invention to achieve these goals, employs following scheme：
The present invention provides a kind of Flood Frequency Analysis method for considering reservoir operation influence, it is characterised in that including following
Step：Step 1：Reservoir capacity is obtained with ga ge relation according to reservoir capacity and reservoir surface area, ga ge relation, and storage outflow
With the dependency relation of storage outflow；Step 2：Outbound peb process is put in storage using triangle manner processing is simplified, outbound three is put in storage
Angular difference in areas is that the reservoir maximum water of regulating and storing of flood into reservoir formation obtains water balance relational expression；Step 3：Simultaneous solution is walked
Rapid 1 and 2 obtained relational expressions, inquire into the relational expression of storage outflow and reservoir inflow, and the relational expression is substituted into without reservoir operation
Under the influence of flood frequency formula, derive the flood frequency formula under the influence of reservoir operation.
The Flood Frequency Analysis method for the consideration reservoir operation influence that the present invention is provided, can also have following characteristics：
In step 1, obtained reservoir capacity and the relational expression of storage outflow is：In formula, V is that reservoir maximum is regulated and stored water,
A is reservoir characteristic parameter, QoutFor the flood peak storage outflow under dam safety evaluation.
The Flood Frequency Analysis method for the consideration reservoir operation influence that the present invention is provided, can also have following characteristics：
In step 2, it is linear process flood hydrograph to simplify triangle manner.
The Flood Frequency Analysis method for the consideration reservoir operation influence that the present invention is provided, can also have following characteristics：
In step 2, water balance relational expression is：In formula, T lasts for water-break of rising, QinTo be adjusted without reservoir
Flood peak reservoir inflow under section.
The Flood Frequency Analysis method for the consideration reservoir operation influence that the present invention is provided, can also have following characteristics：
In step 3, the relational expression for inquiring into the storage outflow and reservoir inflow is：
The Flood Frequency Analysis method for the consideration reservoir operation influence that the present invention is provided, can also have following characteristics：
In step 3, the flood frequency formula under the influence of the reservoir operation derived is：
In formula, β, α, δ is followed successively by scale parameter, form parameter, location parameter.
The effect of invention and effect
Compared with prior art, the beneficial effects of the present invention are：
(1) present invention has taken into full account the crest discharge change under the influence of reservoir operation, simplifies reservoir storage outbound stream
The computational methods of amount, are deduced the flood frequency formula under the influence of reservoir operation.
(2) present invention can include the influence (reservoir construction) of mankind's activity in Flood Frequency Analysis consideration, contribute to
Understand water resource space-time characteristic situation of change under reservoir operation.
(3) it the composite can be widely applied under the influence of reservoir operation in Flood Frequency Analysis, in face of the effect of human activity
Under hydrological characteristics change offer science technical support.
Brief description of the drawings
The flow for the Flood Frequency Analysis method that Fig. 1 influences for consideration reservoir operation involved in the embodiment of the present invention
Figure；
Fig. 2 is the schematic diagram of involved simplification triangle processing method in the embodiment of the present invention；And
Flood frequency curve figures of the Fig. 3 by inquiring into the Shuibuya Reservoir in the embodiment of the present invention.
Embodiment
The Flood Frequency Analysis method on consideration reservoir operation influence of the present invention and the party below in conjunction with accompanying drawing
Method is described in detail applied to the specific embodiment of Flood Control Dispatch scheme optimization problem under the conditions of nonuniformity.
<Embodiment>
As shown in figure 1, the Flood Frequency Analysis method for the consideration reservoir operation influence that the present embodiment is provided is including following
Step：
Step 1. obtains reservoir according to reservoir capacity and reservoir surface area, ga ge relation, and storage outflow with ga ge relation
The dependency relation of storage capacity and storage outflow；
Because storage capacity and reservoir level have cube relation, free overflow water stock has secondary in storage outflow and reservoir level
Square relation, it follows that reservoir capacity and the relational expression for going out flow：
In formula, V is that reservoir maximum is regulated and stored water, and a is reservoir characteristic parameter, QoutFor the flood peak outbound stream under dam safety evaluation
Amount；
Step 2. is put in storage outbound peb process using triangle manner processing is simplified, and by reservoir out of flow procedure according to freedom
Overflow manner processing, as shown in Fig. 2 when water level is in starting-point detection, storage outflow is 0；Storage outflow is according to reservoir capacity
~going out to flow discharge relation calculating, storage outflow process intersects at point C with storage process, and storage outflow is with reservoir level reduction later
Progressively reduce, therefore the rising limb of outbound process can be reduced to straight line, Fig. 2 intermediate cam shape Δs DAB is storage process, Δ CAB
For outbound process, water-break of rising lasts T calculating：During the parameters such as known reservoir catchment area, river length, gradient, using design flood
Water computational methods calculate, by water balance relational expression obtain reservoir maximum regulate and store water V for storage outbound gore product moment：
In formula, T lasts for water-break of rising, QinFor without the flood peak reservoir inflow under dam safety evaluation；
The relational expression that step 3. simultaneous solution above-mentioned steps 1 and 2 are obtained, inquires into the relation of storage outflow and reservoir inflow
Formula：
Assuming that obeying the type frequency curve formula of Pearson came III without the flood peak sequence under the influence of reservoir operation, i.e.,：
In formula, β, α, δ is followed successively by scale parameter, form parameter, location parameter；
Seek QoutOn QinLocal derviation and being substituted into can derive reservoir operation in former Flood Frequency Analysis formula under the influence of
Flood frequency formula：
Above-mentioned formula 5 be based on reservoir operation under the influence of Flood Frequency Analysis formula, the water it can be seen from the formula
Storehouse scheduling changes original Flood Frequency Analysis formula.
In addition, in order to carry out estimation error, can on the basis of above-mentioned steps 1, further follow the steps below 2 ' and
3’：
Step 2 ' Flood process of reservoir uses linear process, and outbound peb process uses actual curve integral and calculating, obtains
Water balance relational expression：
σ dT=δ V0.5DT+dV, (formula 6)
In formula, σ is flood into reservoir coefficient, and δ is outbound flood coefficient；
V and T relational expression can be obtained by solving the differential equation：
In formula, function P (x) is the Newton iteration analytic expression on x；
Reservoir maximum regulates and stores water V in step 3 ' according to step 2 ' and water-break of rising lasts T relational expression, and in step 1
Reservoir maximum is regulated and stored water V and storage outflow QoutRelational expression, obtain storage outflow QoutT relation is lasted with water-break of rising
Formula, storage outflow Q can be tried to achieve by newton iteration formulaoutNumerical solution：
Formula 8 is substituted into former Flood Frequency Analysis formula 4, the flood frequency formula under the influence of reservoir operation is derived：
Then, using Newton iteration program calculation storage outflow QoutError, by it together with actual flow and formula 5
Compare carry out estimation error.
Below by taking the Shuibuya Reservoir in Qingjiang Valley as an example, the Flood Frequency Analysis method provided the present embodiment is entered
Row checking：
Qingjiang Valley traverses Hubei Province southwest, mainstream total length 423km, total drop 1430m.Basin is narrow in north and south, and thing is long
Thin-and-long, area is about 17000km2.Shuibuya Reservoir dam site is located at Qingjiang Valley middle reaches, away from the about 117km that bestows favour, away from fishing gorge
Mouth hydrometric station 17.6km, control area is 10860km2, than fishing mouth of a gorge catchment area (11906km2) small by 8.8%.The fishing mouth of a gorge hydrology
Station is the design liaison station of water cloth a strip of land between hills.
Using Shuibuya Reservoir as case study, according to its 62 years (1951-2012) measuring runoff data, such as Fig. 3 is drawn
Shown frequency curve, compares primary frequency curve and the frequency curve formula being derived by, it is seen that the frequency curve being derived by
Line style and the former type Curve of Pearson came III are inconsistent.Due to the peak influence that disappears of dam safety evaluation, storage outflow is substantially than storage stream
Amount is small.From the figure 3, it may be seen that the effect of the frequency curve formula fitting storage outflow derived is better than former pearson type-Ⅲ distribution curve.Push away
The frequency curve formula and the root-mean-square error of actual storage outflow empirical Frequency led are 0.09, less than former pearson type-Ⅲ distribution curve
Root-mean-square error 0.31.Thus it can verify that conclusion：Reservoir operation changes original Flood Frequency Analysis formula.
Above example is only the illustration done to technical solution of the present invention.Consideration reservoir involved in the present invention
The Flood Frequency Analysis method of scheduling influence is not merely defined in content described in the embodiment above, but with right
It is required that limited range is defined.Any modification that those skilled in the art of the invention are made on the basis of the embodiment or
Supplement or equivalence replacement, all in the claimed scope of the claim of the present invention.
Claims (6)
1. a kind of Flood Frequency Analysis method for considering reservoir operation influence, it is characterised in that comprise the following steps：
Step 1：Reservoir capacity is obtained with ga ge relation according to reservoir capacity and reservoir surface area, ga ge relation, and storage outflow
With the dependency relation of storage outflow；
Step 2：It is storage flood that outbound peb process, which is put in storage, using triangle manner processing, storage outbound gore product moment is simplified
The reservoir maximum water of regulating and storing of water formation obtains water balance relational expression；
Step 3：Simultaneous solution step 1 and 2 obtained relational expressions, inquire into the relational expression of storage outflow and reservoir inflow, and should
Relational expression is substituted into without the flood frequency formula under the influence of reservoir operation, derives the flood frequency formula under the influence of reservoir operation.
2. the Flood Frequency Analysis method according to claim 1 for considering reservoir operation influence, it is characterised in that：
Wherein, in the step 1, obtained reservoir capacity and the relational expression of storage outflow is：
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In formula, V is that reservoir maximum is regulated and stored water, and a is reservoir characteristic parameter, QoutFor the flood peak storage outflow under dam safety evaluation.
3. the Flood Frequency Analysis method according to claim 1 for considering reservoir operation influence, it is characterised in that：
Wherein, in the step 2, the simplified triangle manner is linear process flood hydrograph.
4. the Flood Frequency Analysis method according to claim 3 for considering reservoir operation influence, it is characterised in that：
Wherein, in the step 2, the water balance relational expression is：
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In formula, T lasts for water-break of rising, QinFor without the flood peak reservoir inflow under dam safety evaluation.
5. the Flood Frequency Analysis method according to claim 4 for considering reservoir operation influence, it is characterised in that：
Wherein, in the step 3, the relational expression for inquiring into the storage outflow and reservoir inflow is：
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6. the Flood Frequency Analysis method according to claim 5 for considering reservoir operation influence, it is characterised in that：
Wherein, in the step 3, the flood frequency formula under the influence of the reservoir operation derived is：
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In formula, β, α, δ is followed successively by scale parameter, form parameter, location parameter.
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN111460744A (en) * | 2020-04-17 | 2020-07-28 | 兰州大学 | Land utilization planning method and land utilization planning system for inland river upstream area |
| CN114994702A (en) * | 2022-06-15 | 2022-09-02 | 江苏省水利科学研究院 | Reservoir capacity measuring and calculating method based on airborne laser radar |
Citations (3)
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|---|---|---|---|---|
| CN104751008A (en) * | 2015-04-16 | 2015-07-01 | 武汉大学 | L-moment parameter estimating method for fuzzy information containing historical flood |
| CN105887751A (en) * | 2016-04-28 | 2016-08-24 | 武汉大学 | Multi-variable flood recurrence period calculating method considering reservoir flood routing calculation |
| CN106529157A (en) * | 2016-10-31 | 2017-03-22 | 华中科技大学 | Halphen B distribution-based flood frequency analysis method and system |
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2017
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| CN111460744B (en) * | 2020-04-17 | 2023-05-23 | 兰州大学 | Land utilization planning method and planning system for inland river upstream region |
| CN114994702A (en) * | 2022-06-15 | 2022-09-02 | 江苏省水利科学研究院 | Reservoir capacity measuring and calculating method based on airborne laser radar |
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