One of the key problems in flood estimation is to predict the flow in the river after an intensive rainfall. Hydrologists use a variety of methods for such predictions, ranging from physical (PDE) to conceptual to statistical models. These models are often based on different assumptions; such assumptions may be subtle and hidden, and perhaps contradictory.

Here, we describe some of the recent work (in collaboration with Dr. Piotr Morawiecki) to develop a rigorous mathematical framework in order to better understand the relations between different classes of models. We develop simple benchmark scenarios for coupled surface-subsurface flows. Extensive data analysis of UK catchments allowed us to estimate key non-dimensional quantities affecting the flow. The subsequent study of these models using asymptotic analysis allows us to compare their behaviours in certain limiting scenarios and extract key factors affecting the formation of peak river flows.

This intercomparison of asymptotic behaviour of different classes of models can be used as a complementary tool to computational methods for assessing flood model accuracy, and can be used to better understand their applicability limits.

Below you can find links to articles and videos summarising major part of the research project.

To appear in the Journal of Fluid Mechanics (2024).

Part 1. Parameter estimation and sensitivity analysis of catchment properties	Part 2. A three-dimensional benchmark model and its properties	Part 3. Analytical solutions and scaling laws

(In Review)

• Asymptotic differences between a lumped probability-distributed rainfall-runoff model and physical benchmark models.
• On the evaluation of grid and grid-to-grid rainfall-runoff models and their differences with physical benchmarks

(In Review)

• A calibration-free physicality-based model for predicting peak river flows