Abstract

An appropriate digital elevation model (DEM) is required for purposes of hydrodynamic modelling of floods. Such a DEM describes a river’s bathymetry (bed topography) as well as its surrounding area. Extensive measurements for creating accurate bathymetry are time-consuming and expensive. Mathematical modelling can provide an alternative way for representing river bathymetry. This study explores new possibilities in mathematical depiction of river bathymetry. A new bathymetric model (Bathy-supp) is proposed, and the model’s ability to represent actual bathymetry is assessed. Three statistical methods for the determination of model parameters were evaluated. The best results were achieved by the random forest (RF) method. A two-dimensional (2D) hydrodynamic model was used to evaluate the influence of the Bathy-supp model on the hydrodynamic modelling results. Also presented is a comparison of the proposed model with another state-of-the-art bathymetric model. The study was carried out on a reach of the Otava River in the Czech Republic. The results show that the proposed model’s ability to represent river bathymetry exceeds that of his current competitor. Use of the bathymetric model may have a significant impact on improving the hydrodynamic model results.

Highlights

  • Knowledge of terrain morphology is crucial for the hydrodynamic modelling of floods

  • This paper explores new possibilities in mathematical representation of river bathymetry

  • The model is based on the analytical curves, which schematizes the river cross-sections

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Summary

Introduction

Knowledge of terrain morphology is crucial for the hydrodynamic modelling of floods.The accuracy and applicability of hydrodynamic models is driven by the nature, availability, and accuracy of source topographic data [1,2,3].The digital elevation models (DEMs) are required as a main input for hydrodynamic modelling.Topographic mapping is conventionally conducted by ground surveying. Knowledge of terrain morphology is crucial for the hydrodynamic modelling of floods. The accuracy and applicability of hydrodynamic models is driven by the nature, availability, and accuracy of source topographic data [1,2,3]. The digital elevation models (DEMs) are required as a main input for hydrodynamic modelling. Topographic mapping is conventionally conducted by ground surveying. The main advantage of such a method is its high accuracy. Among the major limitations of measured data acquisition are its high cost and time-consuming data collection. Ground mapping is increasingly being replaced by remote-sensing methods. Radar and laser altimetry are among the most commonly used remote-sensing techniques [4,5,6]

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