I'm working with the developing of a system to prevention and warning of natural disasters, especially with regard to flooding of rivers in urban areas. We wish to use topographic level measurements, as well as flow average or rainfall indexes.
Likely I could give you some suggestions, but I have not fully understood the question.
To what papers on the subject do you refer? What do you mean by "quotas"?
A plethora of rainfall-runoff models are available in the literature (you can find some free codes on my profile in RG). Their selection mainly depends on data availability and the purpose of your investigation.
Sorry for my bad english: we use "cotas" in portuguese to indicate the level that the river rose from sea level. Usually this measurement is made meter by meter, as in the case of level curves.
Rewritting: what are the best mathematical models that I could use for the simulation of river flooding by using measurements of river level, average flow (output) or rainfall?
Our main goal is to prevent the level of the flood. Nowadays we are using only the topographyc level of the river, comparing outstream and downstream. But, we wish to consider also the rainfall and the runoff. thanks again, C.
Do known a dynamic wave routing which use st venant equations. The equation can help you to calculate a water level and flow if you have a cross section of river.
You have many models that can be used for this purpose. I used KINEROS model, ANSWERS model. HEC model also is useful. As other colleagues said, it depends on the avaible data.
You can start simple with the HEC family of models and then you can improve your modelling using a 2D model as TELEMAC2D or others. I don't recommend you go to a 3D model unless you are looking in a specific zone with a small extension.
We tried many models for the River Murray in the 1990's including SHE, Mike 11 and some engineering models. None of them worked as well as preparing high res digital orthophoto mapping with 1.25 m DTM and simulating floods based on historic aerial imagery and benchmark flood levels... ie 3D geospatial modelling.... This was done for 2500 km of river floodplain up to and over 25 km wide, and displayed visually over the true imagery of the floodplain (0.6m pixels). Being based on historic flood levels and accurate DTM's rendered the results acceptable for legal purposes as well as planning and development....
Claus, My Floodplain planning team published a technical manual called River Murray Mapping in 1995 published by the Murray Darling Basin Commission Canberra: ISBN 1 87520915 8 ~ complete with papers showing wide ranging applications. . It is now hard to get copies. After I left the organisation, The River Murray Mapping technology was sold by MDBC to private corporate interests who were unable to maintain it.
I published many papers through Australian professional journals which unfortunately have not been loaded on the internet. Most of my papers were republished in Chinese in 2002 by the Shanxi Institute of Forestry Sciences and there are copies available for those who read Chinese. I am happy to answer specific questions on floodplain mapping, modelling and monitoring using 3D digital terrain models, orthophoto mapping, remote sensing and historic benchmarks.
The technology has improved dramatically since then. DTMS are now much better allowing orthophoto mapping cartographic standards to achieve mm accuracy using drones. With sub meter pixels, and mm accuracy for DTMs our 3D orthophoto method of flood mapping is much more accurate and reliable than anything than can be achieve by mathematical modelling.
You are welcome to contact my team member Tom Tadrowski who prepares our 3D digital mapping ~ Tom works globally these days!
The development of 3D digital true image orthophoto mapping is advancing so quickly it is likely mathematical modelling of floods, floodplains, mines and quarries, and other terrain measurements will become redundant, if not already. Engineers and surveyors are being replaced by topodrones and digital orthophotogrammetry methods which are much more accurate, reliable, faster and cheaper! refer www.dronemetrex.com
The mathematical model to estimate the flooded areas can use the landscape approach. there are four factors that affect the flood that is; slope, rainfall, river density and soil types. with GIS 4 of these factors can dioverlay and produce a flood-prone areas that can be used for disaster mitigation. You can view and download my thesis entitled:
Spectral LINEAR MIXTURE ANALYSIS STUDY TERRA MODIS IMAGERYFOR runoff Estimate (Case Study in Sub Watershed of Riam Kanan)