KARST: Predicting flow and transport in complex Karst systems

ERC (European Research Council)HORIZON-ERC-SYGID: 101071836
EC Contribution
€98,846
Consortium Size
6 orgs
Start Year
2023
Summary

Karst aquifers are a treasure and a threat: while up to 25% of the world population depends on them for drinking water, they also have capabilities for extremely fast conduction of water and contaminants. In the light of climate change, we need to prepare for extreme flooding and understand the consequences for karst aquifers. Despite their socio-economic importance, decades of research, and high-profile disasters, karst structures and processes remain notoriously difficult to assess. Because of the complexity of karst and its lack of accessibility, the foundations of flow and transport modeling in karst systems are weak. Key phenomena related to extreme events such as flash floods and heavy tails in tracer recovery are still beyond current modeling capabilities. KARST will establish the next generation of coupled stochastic modeling frameworks to predict karst processes, assess the vulnerability of karst aquifers, and forecast their response to extreme events. Our approach will bridge structures and processes on all scales, far beyond the capabilities of current theories and computer simulations. This will be achieved by targeting three key objec- tives: (i) Identification and quantification of flow and transport dynamics at the conduit scale. (ii) Characterization and modeling of karst network structure at the catchment scale. (iii) Derivation of a new upscaled approach to predict karst processes at different resolution scales. Together, this will result in an unprecedented multiscale modeling framework for the prediction of flow and transport in karst.Solving this long-standing problem is possible thanks to the synergy of the KARST PI team combining the set of skills and knowledge (hydrogeology, physics, mathematics) required to make a ground-breaking step in this field. Beyond that, the new approach is expected to impact other real-world systems in medicine (capillary networks), neuroscience (brain microcirculation) or glaciology (meltwater flow in glaciers).

Consortium (6)

Project Results (32)

Source: CORDIS, the EU research results database.

Publications (32)
Strong log-convexity of genus sequences
Journal of Combinatorial Theory, Series B· 2026DOI
Bojan Mohar
The burning game on graphs
Discrete mathematics· 2026DOI
Nina Chiarelli, Vesna Iršič Chenoweth, Marko Jakovac, William B. Kinnersley, Mirjana Mikalački
Trail Trap: A variant of Partizan Edge Geography
Discrete Applied Mathematics· 2026DOI
Calum Buchanan, MacKenzie Carr, Alexander Clifton, Stephen G. Hartke, Vesna Iršič Chenoweth, Nicholas Sieger, Rebecca Whitman
A linear lower bound for the square energy of graphs
The Electronic journal of combinatorics· 2025DOI
Saieed Akbari, Hitesh Kumar, Bojan Mohar, and Shivaramakrishna Pragada
Clustered Colouring of Graph Products
The Electronic Journal of Combinatorics· 2025DOI
Rutger Campbell, J. Pascal Gollin, Kevin Hendrey, Thomas Lesgourgues, Bojan Mohar, Youri Tamitegama, Jane Tan, David R. Wood
Connected matchings
Computational geometry· 2025DOI
Oswin Aichholzer, Sergio Cabello, Viola Mészáros, Patrick Schnider, Jan Soukup
Coupled continuous time random walks for dispersion in spatio-temporal random flows
Journal of Fluid Mechanics· 2025DOI
Marco Dentz; Daniel Robert Lester
Finding a largest-area triangle in a terrain in near-linear time
Computational Geometry· 2025DOI
Sergio Cabello, Arun Kumar Das, Sandip Das, Joydeep Mukherjee
Lecture Notes in Computer Science
Lecture Notes in Computer Science, Approximation and Online Algorithms· 2025DOI
Sergio Cabello, Panos Giannopoulos
Linear Boltzmann Equation for Solute Dispersion in Heterogeneous Media Under Non-Ergodic Conditions
ARC Geophysical Research· 2025DOI
Marco Dentz; Arash Massoudieh
Packing paths in sparse random graphs
Random structures & algorithms· 2025DOI
Vesna Iršič Chenoweth, Julien Portier, Leo Versteegen
pyKasso: An open-source three-dimensional discrete karst network generator
Environmental Modelling & Software· 2025DOI
François Miville, Philippe Renard, Chloé Fandel, Marco Filipponi
Subdivision and graph eigenvalues
Linear Algebra and its Applications· 2025DOI
Hitesh Kumar, Bojan Mohar, Shivaramakrishna Pragada, Hanmeng Zhan
Vertex partitioning and p-energy of graphs
Linear Algebra and its Applications· 2025DOI
Saieed Akbari, Hitesh Kumar, Bojan Mohar, Shivaramakrishna Pragada
Weighted Padovan graphs
Discrete Mathematics· 2025DOI
Vesna Iršič Chenoweth, Sandi Klavžar, Gregor Rus, Elif Tan
A note on the 2-colored rectilinear crossing number of random point sets in the unit square
Acta mathematica Hungarica· 2024DOI
Cabello, Sergio; Czabarka, Éva; Fabila-Monroy, Ruy; Higashikawa, Yuya; Seidel, Raimund; Székely, László; Tkadlec, Josef; Wesolek, Alexandra
Connectivity with uncertainty regions given as line segments
Algorithmica· 2024DOI
Cabello, S. and Gajser, D.
Eliminating crossings in ordered graphs
Leibniz International Proceedings in Informatics· 2024DOI
Akanksha Agrawal, Sergio Cabello, Michael Kaufmann, Saket Saurabh, Roohani Sharma, Yushi Uno, Alexander Wolff
Exact Algorithms for Clustered Planarity with Linear Saturators
Leibniz International Proceedings in Informatics (LIPIcs)· 2024DOI
Da Lozzo, Giordano; Ganian, Robert; Gupta, Siddharth; Mohar, Bojan; Ordyniak, Sebastian; Zehavi, Meirav
General position polynomials
Results in mathematics· 2024DOI
Vesna Iršič; Sandi Klavžar; Gregor Rus; James Tuite
Geometric matching and bottleneck problems
Leibniz international proceedings in informatics· 2024DOI
Sergio Cabello, Siu-Wing Cheng, Otfried Cheong, Christian Knauer
Horadam–Lucas cubes
Axiom· 2024DOI
Elif Tan, Luka Podrug and Vesna Iršič Chenoweth
Impact of microscale physics in continuous time random walks for hydrodynamic dispersion in disordered media
Physical Review Fluids· 2024DOI
Xiangnan Yu, Marco Dentz, HongGuang Sun, Yong Zhang
Indicated domination game
Discrete mathematics· 2024DOI
Boštjan Brešar, Csilla Bujtás, Vesna Iršič, Douglas F. Rall, Zsolt Tuza
On the second largest adjacency eigenvalue of trees with given diameter
Linear and Multilinear Algebra· 2024DOI
Hitesh Kumar, Bojan Mohar, Shivaramakrishna Pragada, Hanmeng Zhan
Pore-space partitioning in geological porous media using the curvature of the distance map
Transport in Porous Media· 2024DOI
Ilan Ben-Noah, Juan J. Hidalgo, Marco Dentz
Scaling laws and mechanisms of hydrodynamic dispersion in porous media
Journal of Fluid Mechanics· 2024DOI
Yang Liu, Han Xiao, Tomás Aquino, Marco Dentz, Moran Wang
Singular value decomposition for single-phase flow and cluster identification in heterogeneous pore networks
Advances in Water Resources· 2024DOI
Ilan Ben-Noah, Juan J. Hidalgo, Marco Dentz
Theoretical Computer Science
Theoretical Computer Science· 2024DOI
Vesna Iršič Chenoweth
Three-edge-coloring projective planar cubic graphs: a generalization of the four color theorem
2024 IEEE 65th Annual Symposium on Foundations of Computer Science, FOCS 2024 proceedings· 2024DOI
Yuta Inoue, Ken-Ichi Kawarabayashi, Atsuyuki Miyashita, Bojan Mohar, Tomohiro Sonobe
Generalized Pell graphs
Turkish journal of mathematics· 2023DOI
Vesna Iršič, Sandi Klavžar, Elif Tan
The hidden structure of hydrodynamic transport in random fracture networks
Journal of Fluid Mechanics· 2023DOI
Marco Dentz; Jeffrey D. Hyman