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Runoff computations for water projects

Proceedings of the International Symposium

St. Petersburg (Russia), 30 October -3 November 1995 Parts I and II

Edited by A.V. Rozhdestvensky

IHP-IV Project M-1-4

IHP-V I Technical Documents

in

Hydrology I No.

9

UNESCO, Paris,

1997

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concerning the delimitation of its frontiers or boundaries.

I I

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framework of the

UNESCO IHP-IV

Project

M-1-4, was

jointly organized by the National Committee of Russia for the

IHP,

the Russian Federal Service for Hydrometeorology and Environmental Monitoring (Roshydromet), the State Hydrological Institute

(St.

Petersburg) and

UNESCO, in

co-operation

with

the

B.

Vedeneev

VNIIG

Institute

(St.

Petersburg)

and

the

IAHR.

T h e

main purpose of the Symposium was to exchange up-to-date scientific achievements

in the

theoretical, methodological and applied

aspects

of runoff computations. The Symposium

was

the third

in a

series of

IHD/IHP

Symposia organized

on

the same topic by

UNESCO

and

the

State Hydrological Institute; previous meetings were held in 1967 on “Floods and their Computations’’ and

in

1979 on “Specific Aspects of Hydrological Computations for Water Projects”.

Defhite progress has been achieved during the last decade

in

the experimental studies of river runoff formation, the improvement of the methodology for river runoff computations, the study of long-term runoff variations,

the

utilization of these studies for applied computations both for stationary climatic situations and the conditions of anthropogenic changes of climate,

as

well as the intensive impact of

human

activities on runoff The Symposium discussed reports on the following topics:

1.

2.

3.

4.

Use of runoff formation

laws

for hydrological computations Runoff computations on the basis of long-term time series Regional methods for hydrological computations

Specific aspects of runoff computations under anthropogenic impact conditions

All the

88 abstracts (43 oral and 45 poster presentations) received by the Organizing Committee prior to the Symposium were published

as

Pre-Symposium Proceedings.

Of

these,

42

papers were selected for publication in the present Proceedings issued

in

the M p series Technical Documents

in Hydrology. Part I

comprises papers on topics 1 to 2 above, while

Part II

contains papers on topics 3 and 4.

The organizers

wish

to express their gratitude to all contributors to the Symposium.

Professor

I.

Shiklomanov

Chairperson

of

the Organizing Committee

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C o n tents

1 Use of

Runoff

Formation L a w s for Hydrological Computations Present state and prospects of the hydrological calculations development

A. K

Rozhdeshrensky

Objective criterion for the selection of analogous river basin for estimation of characteristic discharges in ungauged catchments

A.

Byczkowsky. B.Mandes Possibilities of mathematic modelling for a new system of runoff computation

Yzi.

B. Vinogradov

World-wide experience of applications of the

HBV

hydrological model Sten Bergstroem

Application of dynamic and stochastic models of water bodies for the forecast purposes V I.: Kovalenko,

A. K

Lzibyanoy, J? L. Starostin. W.

A.

Ozmin, F M Vax

&

D.

A.

Podryadov

Theoretical and methodical aspects of normalizing the design characteristics of maximum flow Ye. D. Gopchenko

Rainfall runoff spatial model

A.

G.1vanenko

N e w approach for the estimation of extreme roughness in torrents by hydraulic and photogrammetry H.Hode1,

T. P.

Kersten

&

I.Storchenegger

Laws of formation of a maximum snowmelt flood runoff on small watersheds and ways to improve methods for its computation

B.M.

Dobrozrmov

Calculation of minimum flow in rivers with various streamflow regime types A.M Vladimirov

N e w results of experimental studies on river runoff formation B.

L.

Sokolov.

S.

KMarunich. ML.Markov

&

S.

K

Zavilejskrj

Global Runoff Data Centre

(GRDC) -

its objectives and potencial for regional and global projects in hydrology and climatology W Grabs

Mean-annual water balance of the Niger River, West Africa t;: Olivera,

D. CMcKinney. Zichuan Ye, D. RMaidment

& S.

Reed

Fuzzy set theory as an objective basis for the estimation of the river basins similarity S. Tyszewsky,

A.

Byczkowsky, T. Okruczko

&

B.Mandes

7 9

17

25

33

45

51

57 65 71

81

85

99

107

115

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river basins Oto Mendel

&

S.A. KondraQev

On

estimation of dimensions of river basins

in

hydrological computation

A.M.

Komlev

Using the water balance subroutine of

CROPWAT

5.2, a

FAO

program to correct inadequate hydrological data T.J. Spek

2 Runoff Computations on the Basis

of

Long-term Observation Series Topical problems of calculation design characteristic determination of river runoff

F A . Shelutko

&

V. G. CIzitnichenko

Application of models of non-stationary processes for hydrological computations V.

A.

Lobanov

Application of the

VNC

model for comprehensive computation of mean monthly discharge series S.Prohaska. P.Srna.

T.

Petkovich

&

V. Ristich

Methods for minimum flow computation

I

N.P.Artemieva

I

Methods for computation of streamflow dstribution during a year G.A.Plitkrn Indvidual and priori information for runoff computation

A.

G. Lobanova Investigation of annual runoff variation (a case-study of the Dnieper River at Lotsmanskaya Kamenka) V.

S.

Druzhinin

&

D. V. Zhzikovskry

Application of the

SSAR

model for elaboration of short-term inflow forecast for the Peruca reservoir Kresimir Plantich

Flood

periods systematic description and stochastic calculations

A.

KKokorev

&

L. V. Kokoreva

133

139

147 149

155

165 173

183 189 195

199

207

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1 Use of Runoff Formation Laws for Hydrological Computations

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PRESENT STATE AND PROSPECTS OF HYDROLOGICAL COMPUTATIONS DEVELOPMENT

Rozhdestvensky,

A.V

State H-vdrologicd Institute. St. Petersbzirg. Russia

The present state of methodologies for hydrological computations in the world practice is mainly reflected in the publications of

UNESCO (UNESCO,

1982a, 1982b, 1987, 1989) and

W O (WMO,

1989), prepared by intemational working groups, where methods applied for runoff computations in different countries are described in great details. Besides, hfferent aspects of hydrological computations are given in the proceedings of the intemational symposia organized in

1979

(UNESCO,

1981) and in 1995.

Updated practice of hydrological computations €or water projects in Russia is based on the use of the official standard document SNzP 2.01.13-83 (Construction standards and regulations) and on the Manual €or determination of design hydrological characteristics (Opredelenie.. ., 1985; Posobie

PO opredeleniu.. ., 1984); these publications contain scientific results and generalized experience for different water projects in Russia and in the

NIS

by the beginning of the 1980s'. Methods for river runoff computations presented in the above publications m a y be subdivided into three categories, depending on the availability and amount of hydrological data at the point under project.

T h e

first category embraces methods usually applied at the available most long-term series of hydrometric data and it is based on the computation of empirical and analytical probability dstribution functions. Verification of data homogeneity and stationary is accomplished by the use of classical criteria of homogeneity of Student, Fisher, Kolmogorov-Smimov, Dickson and Grabs, generalized for the case of the available autocorrelation between runoff for adjacent years in the hydrological observation series as well as for the case of a positive asymmetry of these series (Rekomendatsii PO statisticheslum metodam ..., 1979). Assessment of parameters is made by the methods of moments, maximum

likelihood

and quantiles.

A

three-parametric gamma-distribution of S.N.Kritsky

&

M.F.Menkel for any ratio of skewness coefficient to variation coefficient (Cs/Cv) and Pearson type I11 distribution at Cs/Cv>2 are usually applied as analytical probability distribution functions.

A

system of corrections has been developed which eliminates a negative shift of the moment. estimates of coefficients of variation, skewness as well as autocorrelation coefficients between runoff values for adjacent years (Rozhdestvensky, 1977).

If

data are available on random errors in the basic data which cause systematic errors in the assessments of parameters and quantiles, it is recommended to eliminate this information by using equations developed for the cases of permanent relative errors in the basic data (e.g., water discharges) and in permanent absolute errors in the basic data (e.g., water levels). If the basic data are not stationary and heterogeneous, it is recommended to separate these data into homogeneous and stationary populations and then to use the combined distribution curves on the basis of which it is possible to get an analytical approximation of the heterogeneous probability distribution function (e.g., maximum discharge caused by snowmelt or rainfalls). More detailed information on the methods for the computation of hydrological parameters in case of adequate most long-term hydrometric observation data m a y be found in (Blokhinov, 1974; Kritsky, Menkel, 1981; Posobie PO

opredeleniu.. ., 1984; Rozhdestvensky, Chebotarev, 1979).

The second category of methods is based on a reduction of short-term hydrometric observations to a long-term period. Moreover, longer observations of river runoff at prototype stations or meteorological runoff factors are used. The maximum effect of these methods is attained by the use of step-by-step reduction with a possible use of several prototypes at each stage (Rekomendatsii PO privedeniu. .., 1979). The developed algorithm makes it possible to recover river runoff in an automatic mode, including a search for most effective prototypes. The specified level

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of accuracy and reliability of all the solutions provides a high quality of short-term hydrological series and their parameters reduction to a long-term period.

Finally, the third category of methods is based on the use of regional runoff dependencies upon basic runoff-forming factors. Moreover, space interpolation of runoff characteristics and parameters is widely applied.

On

the basis of the developed methods for hydrological computations a number of soft-wares for

PCs

have been prepared which greatly facilitate hydrological computations for water projects and make these computations more accurate and effective.

W h e n publications (Opredelenie ..., 1985; Posobie ..., 1984) appeared, fbrther studies aimed at higher accuracy and reliability of hydrological computations were made in the following two directions. Firstly, these were the so-called "tra&tional methods" for hydrological computations which successively reflect an ever-growing level of hydrological science. And, secondly, these were the methods of a 'hew generation" based on the so-called "mathematical modelling" (Vinogradov,

1989).

A

conventionality of this subcategory of methods for river runoff computations should be noted. The thing is, that the "traditional methods" also embrace methods based on the mathematical modelling with concentrated basin parameters, which is in a natural agreement with the updated development in hydrology and availability of the information base.

T h e paper describes further research trends in hydrological computations. The maximum scientific effect is usually observed when some additional information on river runoff and on the main factors determining river runoff appears. Therefore, it is reasonable to make firther research to get some additional information, both at an individual project site and in the region of the fbture water project.

Individual hydrometric information at the project site may be obtained by field measurements.

This

information usually reflects specific features of runoff formation in the study river which is of a great importance for a determination of the design runoff value. Besides, the duration of such measurements is not long and vanes from a year or even a season up to several years.

A

development of methods for the account of short-term observations for hydrological computations is quite promising for future research.

If one or several good prototypes are available, it is possible to apply the method of ratios, of the specified runoff frequency or year-by-year runoff recovery. It is also possible to plot year-by- year runoff curves showing dependence of runoff for a particular year upon normal runoff or specified frequency runoff, this method m a y be also promising to take the account of short-term observations. In the similar way it is possible to plot runoff curves during the period of short-term observations depending on runoff for other years. These dependencies should be plotted for the stations located

in

a hydrologically homogeneous area.

T h e

research results available in this field demonstrate a high efficiency of such dependencies.

A n expediency of more expensive projects due to field measurements is often douffil.

Therefore, it is reasonable to cite academician B.Paton w h o wrote in his paper "Safety of the progress" (published in "Literatumaya gazeta" No.44 (5 110) dated 29 October 1986):"In fact, when w e begin to relate any project to some particular conditions, say, to a definite location, w e almost always have inadequate data either on its geology, or plants or water balance or anything else. Therefore, the first commandment (to be kept in this case) is not to regret about time and money spent for getting these data. The power concentrated in the hands of a man is so great that it is a crime to launch this power on the off-chance, without thinking about the results. Therefore, w e have to be prepared in advance that a preliminary check of the project would be as expensive (or m a y be even more expensive) than the implementation of the project. Knowledge is costly, but ignorance is much more costly!

This

is a new feature of the present project practice, and we have to face it with open eyes."

All

the above demonstrates quite convincingly that it is impossible to make hydrological computations if data are missing for the project site.

This

approach m a y be realized only in case of obligatory field measurements to be made prior to engineering and hydrological computations.

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Field programmes should be combined with the methods to be used for the account of field measurements.

These investigations are at the initial stage (Rozhdestvensky et al., 1990; Rozhdestvensky, Lobanova, 1991; Rozhdestvensky et al., 1992). W e have to do much not only for a development of new methods for the account of field data for runoff computations, but w e have to check these methods and to estimate the accuracy and reliability of these methods in different regions of the country.

In this situation a question may arise that the so-called methods for runoff computation with inadequate data at the project site are useless, because w e shall always have observation data at the site of the water project. Therefore, it should be noted that these methods embrace some additional information on the main runoff factors and it is hardly reasonable to neglect this information.

The way out of this situation is to use the bayesian approach which is based on the simultaneous account of individual hydrometric information at the project site and regional information too, presented by different empirical runoff dependencies upon different fictors, and by lfferent maps of runoff parameters and characteristics.

It

is natural that this approach to hydrological computations may include several regional computation methods in combination with hydrometric observation data at the project site. The very first steps have been made in this direction and promising results have been obtained; theoretical studies should be made as well as an approbation of this way on the assessment of the accuracy and reliability of the results of the design hydrological parameters estimation (Rozhdestvensky, Lobanova, 199 1).

This

approach to further research would make it possible to unify hydrological computations, because in this situation there would be not necessary t subdivided methods into the following three categories: at the available observation data at the project site, inadequate data and missing data.

This

approach to runoff computation provides a simultaneous account of not only all the available methods but, which is most important, new methods as well. Thus, the system of hydrological computations becomes open. In this case it is not necessary to substitute some, say, more accurate methods by previous methods, which happened until recently. It should be specially noted, that the maximum effect of a simultaneous use of different methodological approaches would be observed

if

these methods would be independent. Therefore, there is some ground to assume that the methods of hydrological computations based on mathematical models with distributed basin parameters would be independent relative to the known regional computation schemes. Thus, any opposition of the so-called "new generation methods" to ''traditional'' routine methods is out of the question.

On

the contrary, all the methods of hydrological computations in this case are interrelated. In this case, the centre of gravity of the hture research is moved from a selection of the best formula or computation method (observed until recently) to a rational use of all independent (partially dependent) methodological approaches.

A

problem of hydrological computations under the conditions of man's activity in river channels and on watersheds is of a particular importance.

At

present, the scope of man's impact$ is great that w e cannot neglect it during hydrological computations. A s an example, w e m a y mention a system of reservoirs and hydroelectric power plants in the Volga river, or irrigation practice

in

the south of European territory of Russia, etc., greatly affecting the water bodies regimes.

for water projects under the effect of man's activity is a very important problem which should be solved as soon as possible. Here w e have to consider not only a safety and reliability of certain structures but possible results of these structures for water b d e s regimes with particular reference to possible negative ecological consequences produced by different water projects.

Attempts to solve this problem by statistical methods (extrapolation of the trends observed in river runoff) or even by genetic methods in case of inadequate data on the factors of man's impact in dynamics are associated with possible great random errors which make the obtained solution doubtful.

A

great difficulty also arises because of an uncertainty in man's impact development for the period of water structures operation which m a y be a hundred years long and even longer. It is quite Therefore, a development of general methodological principles for hydrological computations

'

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natural that expert assessments of man's activity can be hardly made for such a long period of time. Therefore, no forecasts of man's activity for a remote future can lead to correct decision- making in the field of engineering and hydrological computations for water projects. Meanwhile, quite realistic prospects of man's activity development for the nearest 5-10 years m a y be taken into account in hydrological computations. Therefore, it is quite possible to formulate a more specific problem, i.e. h o w to take the account of man's activity observed at the moment of water project and to combine it with the plans of the national economy development for the nearest 5-10 years.

In this case any new water project to be constructed during the period of other projects operation should take the account of the effect of new projects on the existing ones, and if necessary, to envisage any reconstruction of these structures, if necessary.

In

fact, this is our situation observed at present.

If we carefully consider the effect of all kinds of man's activity on dfferent hydrological characteristics, w e m a y conclude, that river runoff would subject to changes for a certain period (unstationary regime), and after this runoff would be stationary again, but its parameters would be new.

In

fact, a natural complex of factors affecting river runoff should be supplied by anthropogenic factors, which, if taken together, would finally lead to the stationary runoff regime.

Therefore, the problem is: what time interval is required for a transitional unstationary runoff regime to be changed from a natural stationary one to a new stationary regime after the effect of a variety of man's activity factors.

A

duration of the transitional unstationary period m a y vary from one year, or even a season, up to several dozens of years.

This

is explained by a reconstruction of all types of water-balance rations, including compensating runoff factors. Thus, it becomes clear w h y it is impossible to extrapolate trends outlined in long-tenn runoff variations due to anthropogenic factors; it also becomes clear that any reconstruction of future river runoff during the period of water project operation is possible only on the basis of detailed water balance studies which are to estimate not only a duration of the transition period but to predict the averaged inhces of the outlined trends.

Then, it would be possible to compute year-by-year variability of river runoff during the transitional unstationary period, when there m a y occur changes not only in the mathematical expectation but in year-by-year variations in river runoff. The problem of hydrological computations during that period is to determine conventional distribution curves for the period of water project operation. Moreover, it will be necessary to determine a certain function of probabilities distribution, including hstribution parameters of the new stationary runoff regime.

A

detailed reconstruction of river runoff due to man's activity effect is possible only in case of a combination of water balance and statistical methods and by interrelation of these methods.

Proceeding from the above, w e m a y outline the following successive procedure in hydrological computations under the effect of man's impact on river runoff.

(1) Assessment of stationarity of long-term river runoff variations by genetic and statistic methods. Ji the later case, it is recommended to use generalized homogeneity criteria for the case of asymmetric and space-time correlated hydrological information (Rekomendatsii PO

statisticheskim metodam.. ., 1979). Nonstationarity dwovered within the limits of hydrometric measurement accuracy (random error of the basic hydrometric information) should not be taken into account for further computations.

During this stage basic hydrometeorological information should be collected in the area of the water project, as well as information on man's activity (present and expected).

(2) Reconstruction of natural runoff disturbed by man's activity, as recommended in (Metdcheskie rekomendatsii ..., 1986; Metodxheslue ukazania ..., 1986; Shiklomanov, 1979).

(3) Assessment of parameters and quantiles of natural streamflow, after their reduction to a long- term period (Rekomendatsii PO privedeniu.. ., 1979).

(4) Reconstruction of natural streamflow, if a variety of factors of man's activity observed by the moment of water project design is transferred to the beginning of hydrometric observations.

Methodological recommendations from (Metodicheskie rekomendatsii.. ., 1986; Metodicheskie ukazania ..., 1986; Shklomanov, 1979, 1988) should be applied. Water balance methods are preferable.

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(6) Reconstructioq of the natural streamflow at the recovery of a variety of factors of man's activity for the moment of water project design.

(7) Determination of design hydrological characteristics with the account of the transitional (unstationary) period and a new stationary regime of streamflow, subject to man's impact, related to the moment of water project design. Moreover, computations of mini", annual and seasonal runoff should be determined from the certain frequency curve of the new stationary regime. The design value of maximum runoff should be determined from the conventional frequency curve of the transition period, where the design maximum runoff would be the greatest one. If the design maximum runoff is the greatest at the new stationary regime, the certain frequency curve of the new stationary regime should be taken as the design one.

The effect of possible change in the global climate also associated with the anthropogenic factors (carbon dioxide increase in the atmosphere) on streamflow computations should be based approximately on the same basic principles as runoff computations are based under the conditions of man's impact on the watershed.

As

it is rather difficult to make a calendar forecast of mean variations of meteorological components for the period of water project operation to last dozens and even hundreds of years, it is possible to make only variant computations at present which would follow some scenario of meteorological components prediction. Here, a question m a y be raised: what variant should be accepted as a design one in case of a large-scale water project?

Most likely, the variant should be selected on the basis of technical and economical computations as well as the account of possible socio-ecological results. Besides, the determination of design runoff values of the certain frequency requires not only the prehction of the dynamics in average variations of meteorological parameters, but a prediction of time variability of these meteorological parameters.

As

such predictions are not available, we have to relate the observed variability of meteorological parameters to a design scenario of the dynamics of average variations of meteorological parameters.

And, finally, a co-ordmation of rather general and large-scale models of climate with similar models of runoff formation should be noted, because it is hardly possible to expect a great effect from the use of rather detailed and sophisticated models of runoff formation at the account of global climate change effect on the computation of various hydrological parameters.

A

hrther improvement of the system for standardization of the design hydrological characteristics is of a particular interest.

In

the existing system only probabilities of yearly exceedence (frequency) of the study runoff characteristic are standardized depending on the category of the water project.

In

this case the accuracy and reliability of the design value determination are not taken into account, which produces unequal conditions, say, for two structures of the second category, for which maximum design water discharges are determined from different volumes of basic information, say 10 and 50 years, at the other equal conditions.

;It

is natural, that the maximum water discharge obtained from the series of 10 years would be less accurate,

if

compared with the series of 50 years. Therefore, an additional storage should be included to the design water dscharge, determined from the series of 10 years if compared with the

I

design water discharge obtained from the 50-year series. The accuracy of the design water discharge would be different,

in

the similar way, if the number of observations would be the same but the natural variability of the study runoff characteristic would be different.

In

this case, the errors of the design maximum discharge for a southem river vvlth a high time variability would be much greater if compared with the errors of computations for a northem river, where the natural variability is less, if compared with the southem river. These case studies demonstrate quite convincingly that it is reasonable to improve the existing system of standardization of the design hydrological characteristics.

Therefore, it is proposed to determine the design value of the study hydrological characteristic depending on the category of the structure (which is practised at present) and on the period of the structure operation.

In

this case it is recommended to standardze the frequency value depending on

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the period of the structure operation; as to the level of the confident probability, it should be determined depending on the category of the structure. The confident probabilrty level in fict characterizes the level of the reliability of the design water discharge. This system of standardzation is more flexible, if compared

with

the existing one; moreover, it is more physically validated. The upper confident limit should be accepted for the maximum water discharge of the specified frequency; the lower confident limit should be accepted for annual, minimum and seasonal runoff.

Let

us take a case study.

A

hydraulic structure of category two with the 100-year operation period is under design. One per cent, i.e. mean exceedence of water discharge of 1%-fiequency once in 100 years, m a y be accepted as a design maximum discharge frequency. For hydraulic structures of category two the level of the confident probability m a y be accepted to be equal to 99.99%. Then, the upper confidence limit of 99.99% (0.01% level of significance) m a y be accepted as a design maximum water dmharge for the water discharge of 1 %-frequency.

For a quantitative solution of this problem it is possible to use the estimate of the sampling quantiles accuracy described in (Rozhdestvensky, 1977), where information on the sampling quantiles parameters is available; on the basis of this information it is possible to compute any confidence limits for any water discharge of the specified frequency.

At

the solution of the problem on the specification of the levels of confident probabilities to the upper limits depending on the category of the structure, it is necessary to take into account technical, economical, social and ecological grounds. In this case it m a y be useful to apply expert estimates of the standard values which would take into account the experience collected in Russia and in other countries on the standardization of hydrological characteristics.

In

conclusion, it should be noted that only some problems are given

in

this paper which may be most urgent, from the viewpoint of the author, but which do not cover all the problems on the improvement of methodology for hydrological computations for water projects.

REFERENCES

Blokhinov,

E.G.

(1 974). Raspredelenie veroyatnostei velichin rechnogo stoka (Distribution of river runoff probabilities). Moscow, Nauka, 169 pp.

Kritsky, S

.N

., Menkel,

M

.

F

.

(

1 98 1). Hydrologicheskie osnovy upravlenia rechnym stokom (Hydrological principles river runoff control). Moscow, Nauka, 256 pp.

Metodicheskie rekomendatsii PO uchetu vliania khoziaistvennoi deiatelnosti na stok malykh rek pri hydrologicheskikh raschetakh dlia vodokhoziaistvennogo proektirovania (1 986).

(Methodological recommendations on the account of man's impact effect on small river runoff for water projects). Leningrad, Gidrometeoizdat, 168 pp.

MetoQcheskie ukazania PO otsenke vliania khoziaistvennoi deiatelnosti na stok srednlkh i bolshlkh rek i vosstanovleniu ego kharakteristlk (1986). (Methodological instructions on the assessment of man's impact effect on mid-size and large river runoff and recovery of runoff characteristics). Leningrad, Gidrometeoizdat, 130 pp.

Mezhdunarodnoe rukovodstvo PO metodam rascheta osnovnykh hydrologicheskikh kharakteristik (1984). (Intemational Guide on the methods for computation of the main hydrological parameters). Leningrad, Gidrometeoizdat, 248 pp.

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SNIP

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Posobie PO opredeleniu raschetnykh hydrologicheskkh kharakeristik. (1984). (Manual on determination of design hydrological characteristics). Leningrad, Gidrometeoizdat, 447

PP.

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Rekomendatsii PO privedeniu riadov rechnogo stoka i ikh parametrov k mnogoletnemu periodu.

(1979). (Recommendations on the reduction of runoff series and runoff parameters to a long-term period). Leningrad, Gidrometeoizdat, 64 pp .

Rekomendatsii PO statisticheskim metodam analiza odnorodnosti prostranstvenno-vremennykh kolebaniy rechnogo stoka. (1979). (Recommendations on the statistical methods for the analysis of space-time homogeneity of runoff variations). Leningrad, Gidrometeoizdat, 64 PP.

Rozhdestvensky,

A.V.

(1 977). Otsenka tochnosti krivykh raspreelenia hydrologicheskikh kharakteristik (Assessment of the accuracy of distribution curves of hydrological characteristics). Leningrad, Gidrometeoizdat, 273 pp.

Rozhdestvensky,

A.V.,

Chebotarev,

A.I.

(1979). Statisticheskie metody v gidrologii (Statistical methods in hydrology). Leningrad, Gidrometeoizdat, 424 pp.

Rozhdestvensky,

A.V.,

Lobanova,

A.G.

(199 1). Ispolzovanie materialov kratkovremennykh hydrometeorologicheskikh izyskaniy v raschetakh stoka (Use of short-term hydrometeorological field data for runoff computations). Meteorologiya i hydrologiya, Rozhdestvensky,

A.V.,

Ezhov,

A.V.,

Sakhariuk,

A.V.

(1990). Otsenka tochnosti hydrologcheslukh raschetov (Assessment of the hydrological computation accuracy).

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Rozhdestvensky,

A.V.,

Ezhov,

A.V.,

Busalaeva,

L.I.

(1992). Hydrologicheskie raschety s odnovremenny, ispolzovaniem fakticheskikh nabliudeniy i regionalnykh zavisimostei (Hydrological computations with a simultaneous use of actual observations and regional dependencies). Meteorologiya i hydrologiya, No. 1, p. 17-78.

Shiklomanov,

I.A.

(1979). Antropogennye izmenenia vodnosti rek (Anthropogenic changes in river water availability). Leningrad, Gidrometeoizdat, 302 pp .

Shiklomanov,

I.A.

(1 988). Issledovanie vodnykh resursov sushi: itogi, problemy, perspektivy (Investigations of water resources of continents: summary, problems, prospects).

Leningrad, Gidrometeoizdat, 1 5 3 pp .

UNESCO.

(1981). Specific aspects of hydrological computations for water projects. Studies and reports in hydrology,

UNESCO

Press, Paris, 71 1 pp.

UNESCO.

(1982). Methods of computation of low streamflow. Studies and reports in hydrology,

UNESCO

Press, Paris, 95 pp.

UNESCO.

Methods of hydrological computation for water projects. Studies and reports in hydrology N o 3 8 , U N E S C O Press, 1982, 122 pp.

UNESCO.

(1987). Casebook of methods for computing hydrological parameters for water projects. Studies and reports in hydrology No48,

UNESCO

Press, Paris, 324 pp.

UNESC0.(1989). Evaluation of national guides on methods of hydrological computations.

Technical documents in hydrology,

UNESCO

Press, Paris, 48 pp.

Vinogradov, Yu.B. (1989). Raschety stoka (Runoff computation. Prospects on the development of new generation methods). Trudy

GGI, On

the 70th anniversary of the State Hydrological Institute, p .184- 195.

NO.

12, p.84-92.

W O .

(1989). Statistical distributions for flood fiequency analysis.

-

N o . 718, 73 pp.

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CATCHMENTS

Byczkowski,

A., B.

Mandes

Department of Hydraulic Structures, Warsaw Agricultural Universi& Poland

ABSTRACT

Authors propose an objective criterion for the selection of the analogous basin, so called measure of unit discharges similarity

(k).

Values of this measure can be computed with the use of the multihensional regression equation, combining of the ratios of unit discharges and geographical Characteristic. Authors have worked the separate equations for the following characteristic unit dscharges: annual average, median and modal ones. Equations have been developed for hydrometric data for the northeast part of Poland.

1.

INTRODUCTION

During the development of hydrological bases for designs of hydraulic structures, the designers are usually faced with the problem of lack of hydrological data what in consequence, makes the application of the direct (statistical) methods impossible.

Of

necessity, the indirect methods are used, including the methods of hydrological analogy and the empirical methods (equations and maps of discharge). From among them, the methods of hydrological analogy (Byczkowslu, 1979) are considered to be more reliable.

2.

THE METHOD OF HYDROLOGICAL ANALOGY

The method of hydrological analogy is applied in calculations of characteristic discharges in the river catchments or cross-sections where only the results of short-term hydrological studies are available, or there is a complete lack of them. W e utilize here information on the discharge in the gauged catchments, being controlled by hydrological survey, in which the processes of the discharge’s formation run in the analogic way as in the considered catchment area. These catchments are called the analogous basins.

In

case when w e have, in the investigated cross- sections, the hydrometrical data from the short-term period at our disposal, the method of analogy consists in the increase of the information on the dscharge in this cross-section. There are two procedures applied:

prolongation of the chronologcal series, and

bringing the parameters of the probability distribution of the investigated characteristic discharge to a longer period, without creating an abstract set of discharge values, obtained as a result of the procedure of sequence prolongation.

Under the situation of complete lack of information on discharges in the investigated river cross-section, the values of the characteristic of discharge, as defined for cross-section analogs are transferred to the investigated cross-section. The transfer m a y be performed by the method of interpolation, of differential river basin, or by the method of extrapolation (Fig. 1).

The interpolation method is applied when on a given river, there are at least two gauge stations with the observations from a longer period of time (Fig.la) and the investigated cross-section is found between them.

The method of differential basin is used in case when the investigated cross-section is found on the ungauged river, having the outlet to the recipient between two gauge stations.

(16)

4 investigated profile

Fig.

I.

The cases of application of hydrological analogy methods: a) interpolation method;

b) differential basin method; c) extrapolation method.

The method of extrapolation is applied when there is only one profile-analog (Fig.

IC)

from which the values of specific discharges are transferred to the investigated cross-section. This variant of the hydrological analogy method is most frequently applied in practice. In the extrapolation method, the discharge in the investigated basin is calculated from the following formula:

Q=kQo- A

A,

where:

Q

Qo -

discharge in analogous basin, m3h;

k A

-

discharge in the investigated basin, m3h;

-

measure of similarity of specific dmharges, determined by formula (2);

-

area of the studied basin, km’;

-

area of analogous basin, km‘.

In

the method of hydrological analogy, the basic problem is the proper selection of basin-analog as it determines the accuracy of the final results of calculations.

Due to complexity of the processes of water circle in the river basin, it is not possible to select two basins with the identical run of these processes

-

we m a y speak only about the greater or

smaller similarity of numerical values of specific discharges and their variability.

In the so-far practice, the gauge station, situated at the nearest distance in relation to the river cross-section, closing the given basin, was most frequenty accepted as the analog (Byczkowski, 1989). In case of greater number of potentjal analog, the selection was perfomied on the grounds of subjective evaluation of runoff making factors in the investigated basin and in the basin-analog.

Such w a y of solution of the problem cannot lead to the satisfying results due to the subjective approach to the selection of the analog.

(17)

3.

THE MEASURE OF SIMULARITY OF THE SPECIFIC DISCHARGES

In

the attempts to find the objective criterion for the selection of basin-analog, the conception of the measure of similarity of specific hscharges, was developed (Byczkowslu, 1989; Byczkowslu and Maiides, 1889).

This

measure is a quotient of specific discharges in the investigated basin-analog closing cross-section and in the basin-analog closing cross-section:

where:

4 -

specific discharge in the investigated basin,

90 -

spec& discharge in the basin-analog.

The similarity measure

(4

may be definied on the grounds of a comparative analysis of runoff making factors @hysiographical and climatic), affecting the process of dmharge, expressed in a form of numerical parameters, defined for the investigated basin and basin-analog. These comparisons are conducted on the basis of quotients of numerical values of the considered factors.

In the studies of the authors, the measure of similarity, k, is calculated from the equation of multi-dimensional regressian, having a form (Byczkowski, 1989; Byczkowski and Mandes, 1986):

where:

XI, X2, . . . , Xk

-

numerical values of physiographical characteristic in the investigated basin;

XIo, x20, . . .? Xko

-

as above, in the basin-analog;

a,

y11, . . . ,17k

-

parameters of regression equation.

Similar approach, expressed in determination of adaptation coefficients on the grounds of the quotients of runoff making factors, may be found in the studies, conceming calculations of peak discharges. W e m a y mention here Polish formula of Debski (1956) for calculation of median maximal discharge and that one of Fa1 (1979). The equation, as given in the standard of the former Soviet Union of 1973 for calculation ofthe maximal snowmelt discharge (Rukovodstvo ..., 1973) is based on the siinilar principle.

Physiographical characteristics, appearing in equation (3) are selected from among the elements of the set of potential physiographical characteristics by the quasi-optimization method of Kaczmarek (1 969) or by the stepwise regression of Efreymson, as the most effective values.

Owing to the above ~~ietliod of the approach, the selection of basin-analog, is perfoiined in the objective way.

W i t h

the similar run of the discharge processes in both compared basins, the value of measure (k) is near to one. In case when the possibility exists to select the basin-analog from among the greater number of potential analogs, this basin is chosen for which the measure (k) assuiiies value nearest one.

Equation (3) has been differentiated for various discharge characteristics due to the fact that various discharge characteristics are affected by different complexes of runoff making factors.

(18)

Precipitation

P

Slope of the basin y

Lake index

J

SELECTED DISCHARGE CHARACTERISTICS.

Precipitation

P

Lake index

- J

Lakeindex

J

Precipitation P

Rwer network

D

Index of soil porosity

N

density

The authors conducted the studies on the measure of similarity (k) of specific dxharges: the average, median and modal ones (ByczkowskiandMandes, 1986; 1989). The studies were carried out on the territory of north-eastem part of Poland, covering the Narew river basin (without the Bug river catchment) and the basins of the adjoining rivers. The collection of the hydrometrical data, used in the stules, covered the discharges coming from 74 gauge stations during the 35-year period of 1951-1985.

Tne selection of the most effective physiographic characteristics, appearing in equation (3), was performed from among 14 potential precbctors. The set includes: catchment area

(A),

river network density

(D),

length of basin

(Lzl),

measure of the basin shape (p), mean elevation of the basin (hs), mean slope of the basin (yr), mean river grad" (i), swamp index

(B),

index of meadow coverage (Lj, index of afforestation

(Z),

index of arable land (R), lake index

(J),

index of soil porosity (N), average depth of precipitation over basin area, being the mean from many years

(P).

As

a result of the selection procedure, performed by quasi-optimization method of Kaczmarek, it is stated that the studed dscharge characteristics are mostly affected by factors, given in Table 1 .

For each investigated basin, one or more anaiogs were selected from the set of potential basins- analogs. W h e n creating this set, the following factors were taken into consideration: the proximity of the location of catcliment area, closed with a considered gauge station and of the analogous basin as well as similarity of the selected runoff m a k m g factors in both basins. For so selected pairs of the basins, the coefficients of correlation of daily discharges, were determined. For further analysis, these basins were accepted as analogs, for which the correlation coefficients of the relationships between the daily discharges and those ones 111 the investigated profile, were not smaller than the limitary value (

R

2Rll,=0.7). @this m&d, the set of ?+I41 was obtained fm average discharges, €or median discharges, the set was equal to N=133 and for modal discharges, the set amounted to N=120 elements.

The numerical paraiiieters of the iiiulti-dimeiisioiial regression equation (3) were calculated by the method of compensatory calculus. The formulae for calculations of similarity measure of specific discharges of the considered characteristics, have the following form:

-

for average discharges:

1.2

1 0.1 1

2.42 L+l

RI, = . ) 1 ( . 4 . 9 0 ) PO ( ( LO+l (w) YO

(4)

-

for median disclmrges:

(19)

3.43 -0.20

L+l

Po Lo+l Do

3.46

-

for modal Qscharges:

5.0 1

4.7s

-0.53

L+l

Lo+ 1 Po

( 5 )

5.

ANALYSIS OF EQUATIONS

In all developed formulae there are found the factors, the influence of which on the considered discharge characteristics is intuitionally perceptible. The signs of exponents (n) at the particular W h e n comparing the equation for calculations of similarity measure of specific dmharges:

average (Avq), median (Meq) and modal (Moq), it m a y be observed that numerical values of exponents such as: precipitation

(P)

and lake density

(L),

appearing in all equations, are increasing gradually withthe coiisideratioii of discharges, being more and more differing from the average ones. In case of the formula for modal discharges (Moq), the sequence of the describing variables is simultaneously changed: the lake density is found on the first place

(L).

It is an evidence that the influence of this characteristic on the modal discharges is the strongest one. In the equation for the average discharges, basin slope is found on the third place

(w),

while in the equations of median and niodal discharges

-

density of river network

0)

and index of soil porosity

(N).

Such system is logical because median and modal discharges are shaped by the base flow wliicli is detenikd by the above characteristic. 011 the other hand, the average discharges are the resultatit of direct runoff and base flow, what is expressed by their relationship with the topographic characteristic, shaping

tlre

direet runoff.

The effectiveness of the obtained equations was investigated using analysis of relative percentage errors (6) between the values, obtained from the developed formulae and the values, obtauied from hydrometrological data.

~ variables are coiisistent with the physical interpretation of this pheiioiiiai.

The percentage errors were calculated fi-om the relationship:

6; =- xO--x 1 OO(%)

(7)

1

x

where:

Xg -

value calculated from the equation,

X -

value calculated from hydrometrical data.

The main values of percentage errors for the investigated random sample were obtained from the formula:

6' = (C/Si/)

//'

n

where:

/Si/ -

absolute value of percentage error,

n -

random sample size.

(20)

Characteristic of discharge Avq

errors in case of average and median dicharges should be considered as being low

(B<

20%). The high value of the average error for model discharge is not satisfactory (8=29.5%), nevertheless, it does not disqualify the obtained results and indicates the need of futher studies.

6

[%I

Equation number

12.0 4

Table 2. The mean values of percentage errors (6') of the equations for the calculation of the measure of specific discharges similarity

M e q M o q

16.4 5

29.5 6

6.

CONCLUSION

The obtained relationships serve for calculation of the similarity measure (k) of specific average, median and modal discharges on the territory of north-eastern part of Poland, depending on the physiographical factors.

The discussed equations create the possibility of objective selection of quasi-optimal analogous basin on the grounds of value analysis of the measure of similarity of specific discharges, calculated for the set of potential basins-analogs:

kept = max {ki)

(9)

Measures of similarity of specific discharges with the investigated characterists were affected by the physiographical factors, selected in the objective way, by the quasi-optimization method of Kaczmarek, most strongly affecting intuitionally the studied characteristic of discharge.

The direction of the effect of these factors, expressed by the algebraic signs of exponents, is physically justified.

REFERENCES

Byczkowski, A. (1 979) Hydrologiczne podstawy projektow wodno-melioracyjnych. Przeplywy characterystycne.

PWRiL

(in Polish).

Byczkowski,

A.

(1 988) Zastosowanie metody analogii hydrologicznej do charakterystyk hydrologicznych do zlewni niekontrolowanych. Zeszyty naukowe AR w e Wroclawiu

Nr

189. Melioracje

XXXIV

(in Polish).

Byczkowski,

A., B.

Mandes (1 986) Metodyka obliczania przeplywu najdluzej trwajacego wzorami empirycznymi. W : Problematyka melioracji w nauczaniu i badaniach naukowych.

Konferencja naukowa z okazji 40-lecia studiow melioracyjnych w

SGGW-AR.

Cz.11 Wydawnictwo

SGGW-AR.

Warszawa (in Polish).

Byczkowski, A., B. Mandes (1 989) Okreslenie miary podobienstwa srednich rocznych odplywow jednostkowych na podstawie charakterystyk zlewni. Zesz. Nauk,

A R

w e Wroclawiu Nr

189. Melioracje

XXXIV

(in Polish).

Byczkowski,

A., B.

Mandes (1 990) Kryterium obiektywnego doboru zlewni-analoga. W : Wspolczesne problemy budownictwa wodnego. Sesja naukowa. Wydawnictwa

SGGW-

AR Warszawa (in Polish).

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Byczkowski,

A., B.

Mandes (1993) Obiektywna metoda oceny analogii hydrologicmej przy okreslaniu cliarakterystyk odplywu ze zlewii niekontrolowanycii. Wiadoniosci Inst.

Meteorol. i Gosp. Wod.

T.XXXVII

zesz. 1 (hi Polish).

Debski,

K

(1956) Zwyczajne rocme 1 letnie niaksima przeplywu rzek polskich. Rocz. Nauk Poln.

Seria F, T.72, z. 1 (in Polish).

Fal,

B.

(1 979) Przestrzeiuia zniieimosc przeplywow maksymahiycli w iiizinnej czesci Polski. Mat.

bad. IWGW.

Seria

Hydrol. i Oceaiiol (in Polish).

Kacnmrek,

Z.

(1969) 0 metodach doboru zmiennych prognozujacych. Wiad. Sluzby Hydrol. i kleteorol.

T.V (WII).

z 3/79 (in Polish).

Rukovodstwo PO opredeleiiiju rascetnycli gidrologicesluch cliarakteristik. (1 973) (Guide for determination of design hydrological characteristics). Leningrad, Gidronieteoizdat . (hi

Russian).

(22)

RUNOFF COMPUTATION

Vinogradov, Y u

.B.

State Hydrological Institute. St. Petersburg, Rzissia

FORMULATIQLN OF THE PROBLEM

Hydrological computations, being the basis of engineering hydrology, are tradhonally oriented to the needs of water projects and they were mainly reduced to probabilistic estimates of runoff characteristics.

I

believe that under the condltions of "ecologization" of geosciences some new motives would appear n the applied hydrology too. But the combination of different hydrological parameters and their probabilities would undoubtedly go on.

From the user's viewpoint, there is no problem of runoff computation if hydrometric observation data are available. Therefore, it m a y be reasonable to speak about areas where observation data are inadequate or missing. But under the conditions of variable landscapes and climate the alterpative of &rect statistical estimates, which is historically pressing all other approaches, is groundless. Therefore, @e approach discussed in the paper is to a certain extent the single one.

Hydrological computation methods of a new generation which are under development are interrelated withthe possibilities of m o d e m mathematical modelling. But not each model of runoff formation, however, is suitable for this purpose; the majority of models which

I

h o w are not intended for this.

I

can formulate this fact even more critically, i.e. requirements for the model in this case tend to

a

multi-fold increase and most of the model-makers get round these requirements carefully.

During a long. period of time a universal deterministic modelling system "Runoff

-

Erosion

-

Pollution" was developed and modified at the State Hydrological Institute; the whole system of hydrological computations of the new generation can be based on this system. he proposed methodology is based on the principle of deterministic-stochastic modelling.

I

reported the principal scheme of this modelling, for instance, at the

V-th

All-Union Hydrological Congress in

1986 (Vinogradov, 1989; Vinogradov et al., 1990).

Using this modelling system, it is possible not only to compute runoff hydrograph but to compute mean daily, loday, monthly, seasonal, annual, maximum and minimum water discharges, suspended sedments and pollutants. Since the modelling m a y be made for any number of years, it is possible to get dstribution curves for all the above discharges, typical of the mode of runoff computation.

In general, different versions and purposes of modelling and some combinations are possible:

1. Two modelling variants depending on the w a y of getting meteorological information at the input of a deterministic model:

1.1. Recomputation of meteorological series into hydrological series with the use of Interpolation Weather Model.

1.2. Simulation modelling with the use of Stochastic Weather Model.

2.1. Past climate conditions.

2.2. Present climate condltions.

2.3. Predicted scenarios of anthropogenic climate change for particular moment in future.

3.1. Landscapes in the historically past time.

3.2. Existing landscapes.

3.3. Predicted anthropogenic landscapes.

2. Three principal variants of climate conditions:

3. Three principal variants of the underlying surface state:

Références

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