scholarly journals Analysis of Flood Hydrographs in Order to Predict the Shape of Their Falling Limbs

Proceedings ◽  
2018 ◽  
Vol 2 (11) ◽  
pp. 639
Author(s):  
Václav David ◽  
Tereza Davidová
Keyword(s):  
Precipitation Event ◽  
Non Linear ◽  
Linear Reservoir ◽  
Recession Constant

This paper presents preliminary analyses carried out in order to assess the possibility to treat a small simple catchment as linear reservoir when modeling the runoff from a precipitation event. This analysis was carried out for the catchment of Černá Desná stream to the profile Jezdecká. The applicability of linear reservoir concept was tested by calculating the recession constant values for hydrographs falling limbs which were then evaluated in a statistical way. Specifically, five events were selected for the detail analysis. The results indicate that the linear reservoir concept can be applied in this case to predict relatively well the discharges in next 48 h. However, the results also show that there are limitations in the application of linear concept and that the introduction of non-linear reservoir could improve the prediction results.

scholarly journals Is the groundwater reservoir linear? A mathematical analysis of two limiting cases

2014 ◽  
Vol 11 (1) ◽  
pp. 83-108 ◽  
Author(s):  
G. H. de Rooij
Keyword(s):  
Mathematical Analysis ◽  
Fundamental Property ◽  
Constant Thickness ◽  
Drainage Network ◽  
Humid Climate ◽  
Groundwater Reservoir ◽  
Non Linear ◽  
Linear Behaviour ◽  
Long Time ◽  
Linear Reservoir

Abstract. Storage–discharge relationships of the groundwater reservoirs of several catchments in a temperate-humid climate were reported in the literature to be seemingly non-linear. Once recharge was adequately accounted for during model calibration they turned out to be linear. The question was posed if this linearity was a fundamental property of groundwater reservoirs in general. A mathematical analysis based on analytical solutions for several cases involving parallel flow in horizontal aquifers shows that this is not the case when the surface water level is close to the aquifer bottom. When the aquifer is of constant thickness, linear-reservoir behaviour arises when the forcings remain constant for a sufficiently long time. This can range from a few weeks for aquifers with a dense drainage network of streams or ditches to years or centuries for large aquifers drained by rivers many kilometers apart. The characteristic time of the groundwater reservoir depends on whether or not the aquifer is leaky and recharge is non-zero. It is concluded that groundwater reservoirs can only be linear if their thickness can be assumed independent of the hydraulic head, and if they have a dense drainage network. Even then, they behave non-linearly up to several weeks after a change in recharge. Models that conceptualize the catchment as a configuration of coupled reservoirs will normally assign the groundwater discharge surplus generated because of the initially non-linear behaviour of the groundwater to their fast-responding reservoirs, thereby exaggerating the importance of fast-responding flow routes in a catchment.

scholarly journals How many reservoirs? An analysis of flow recessions from a glacier basin

1993 ◽  
Vol 39 (132) ◽  
pp. 409-414 ◽  
Author(s):  
Angela M. Gurnell
Keyword(s):  
Residence Time ◽  
Mean Residence Time ◽  
Hydrological Processes ◽  
Storage Element ◽  
Flow Component ◽  
Recession Curves ◽  
Operational Forecasting ◽  
Non Linear ◽  
Adequate Representation ◽  
Linear Reservoir

Abstract Analysis of hydrograph-recession curves from temperate catchments has frequently been directed towards identifying a linear-storage element with mean residence time Κ which characterizes the delayed-flow component. This paper presents the results of applying such an analysis to recession curves from 11 years of discharge records from a glacier basin. Four reservoirs are identified but their estimated recession coefficients (K values) are found to vary with discharge and with time in the ablation season. This implies that the reservoirs are non-linear. Whilst it may be helpful for the interpretation of glacier-hydrological processes to identify several reservoirs, it appears that a single non-linear reservoir may provide an adequate representation of the glacier for operational forecasting purposes.

scholarly journals KAJIAN KEBERLANJUTAN ALIRAN DASAR SUNGAI MELALUI ANALISIS KURVA RESESI HIDROGRAF PADA DAS KEDUANG KABUPATEN WONOGIRI PROVINSI JAWA TENGAH

2017 ◽  
Vol 1 (3) ◽  
pp. 222
Author(s):  
Bokiraiya Latuamury ◽  
Hendrik S.E. Aponno ◽  
Miranda H. Hadijah
Keyword(s):  
River Basin ◽  
Water Storage ◽  
Reservoir Model ◽  
Recession Curve ◽  
Recession Curves ◽  
The Individual ◽  
Linear Reservoir ◽  
The Relationship ◽  
Groundwater Outflow ◽  
Recession Constant

The streamflow hydrograph recession curve notes that behavior of the relationship between the aquifer structure and dependencies with the groundwater outflow towards river basin channel. The recession behavior of river basin hydrographs will investigate to understand the hydrology processes of the river basin in the future. This research was conducted with the aim: to analyze the characteristics of the baseflow recession based on the parameters and coefficients of the recession, and the shape of the individual recession curve and the master recession curves both manually and through the processing of genetic algorithms using a linear reservoir model of hydrooffice software package recession curve (RC) 4.0. The results of the visualization of the recession curve shape of the watershed of the research shows there is a very interesting trend in the watershed storage process.The characteristics of the baseflow recession to research watershed with the recession curve slope describe the baseflow recession conditions, especially excellent water storage. The river basin of Keduang have the form of a relatively sloping recession curves, both individual and master recession curve with relatively high recession constant ranged between 0,80 – 0,90 have baseflow recession characteristic is excellent, i.e. the watershed water storage which is the higher volume of water storage.

scholarly journals Towards a comprehensive physically-based rainfall-runoff model

2002 ◽  
Vol 6 (5) ◽  
pp. 859-881 ◽  
Author(s):  
Z. Liu ◽  
E. Todini
Keyword(s):  
Land Use ◽  
River Basin ◽  
Kinematic Wave ◽  
Rainfall Runoff ◽  
Non Linear ◽  
Physically Based ◽  
Rainfall Runoff Model ◽  
Linear Reservoir ◽  
Parameter Values ◽  
Runoff Model

Abstract. This paper introduces TOPKAPI (TOPographic Kinematic APproximation and Integration), a new physically-based distributed rainfall-runoff model deriving from the integration in space of the kinematic wave model. The TOPKAPI approach transforms the rainfall-runoff and runoff routing processes into three ‘structurally-similar’ non-linear reservoir differential equations describing different hydrological and hydraulic processes. The geometry of the catchment is described by a lattice of cells over which the equations are integrated to lead to a cascade of non-linear reservoirs. The parameter values of the TOPKAPI model are shown to be scale independent and obtainable from digital elevation maps, soil maps and vegetation or land use maps in terms of slope, soil permeability, roughness and topology. It can be shown, under simplifying assumptions, that the non-linear reservoirs aggregate into three reservoir cascades at the basin scale representing the soil, the surface and the drainage network, following the topographic and geomorphologic elements of the catchment, with parameter values which can be estimated directly from the small scale ones. The main advantage of this approach lies in its capability of being applied at increasing spatial scales without losing model and parameter physical interpretation. The model is foreseen to be suitable for land-use and climate change impact assessment; for extreme flood analysis, given the possibility of its extension to ungauged catchments; and last but not least as a promising tool for use with General Circulation Models (GCMs). To demonstrate the quality of the comprehensive distributed/lumped TOPKAPI approach, this paper presents a case study application to the Upper Reno river basin with an area of 1051 km2 based on a DEM grid scale of 200 m. In addition, a real-world case of applying the TOPKAPI model to the Arno river basin, with an area of 8135 km2 and using a DEM grid scale of 1000 m, for the development of the real-time flood forecasting system of the Arno river will be described. The TOPKAPI model results demonstrate good agreement between observed and simulated responses in the two catchments, which encourages further developments of the model. Keywords: rainfall-runoff modelling, topographic, kinematic wave approximation, spatial integration, physical meaning, non-linear reservoir model, distributed and lumped

scholarly journals How many reservoirs? An analysis of flow recessions from a glacier basin

1993 ◽  
Vol 39 (132) ◽  
pp. 409-414 ◽  
Author(s):  
Angela M. Gurnell
Keyword(s):  
Residence Time ◽  
Mean Residence Time ◽  
Hydrological Processes ◽  
Storage Element ◽  
Flow Component ◽  
Recession Curves ◽  
Operational Forecasting ◽  
Non Linear ◽  
Adequate Representation ◽  
Linear Reservoir

AbstractAnalysis of hydrograph-recession curves from temperate catchments has frequently been directed towards identifying a linear-storage element with mean residence time Κ which characterizes the delayed-flow component. This paper presents the results of applying such an analysis to recession curves from 11 years of discharge records from a glacier basin. Four reservoirs are identified but their estimated recession coefficients (K values) are found to vary with discharge and with time in the ablation season. This implies that the reservoirs are non-linear. Whilst it may be helpful for the interpretation of glacier-hydrological processes to identify several reservoirs, it appears that a single non-linear reservoir may provide an adequate representation of the glacier for operational forecasting purposes.

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