Mathematical modeling of karstogenesis : an approach based on fracturing and hydrogeological processes

The main objective of this thesis is to provide an approach ofspeleogenesis modeling which would allow to bring new knowledge on the genesis of the Mediterranean karstic systems.Several numerical modeling approaches of speleogenesis exist. They take intoaccount physical and chemical laws for flow and dissolution in fractured carbonate aquifers. Nevertheless, the initial void networks considered by these models gene-rally do not correspond to the fracturing reality.The proposed approach aims to simulate karstogenesis in an aquifer characterizedby a fracture network, while matching field reality as closely as possible andrespecting geometrical properties. Using statistical and geometrical parameters obtained by field observations and analogical experiments, it is possible to generate3-D realistic networks in terms of the relative position of joints that control theoverall network connectivity.Once the fracture networks are generated, they are adapted and incorporated in a3-D ground water flow and transport finite element model. The flow simulationsin the fracture networks allow the determination of the spatial distribution of porevelocities for the initial configuration. This distribution, added to the distributedage of the groundwater, is used to simulate the evolution of the aperture of the different elements by the use of a dedicated empirical equation.The calibration of the empirical growth law is carried out considering initial testson single fractures, taking previous works as reference, and leading sensitivity analyses. Results of simulations taking into account a limestone matrix surrounding the conduit, and considering various values of hydraulic conductivity of the matrixand various recharge conditions, are presented.Then, results obtained considering configurations designed with a single stratum containing fracture networks are presented, considering various fracture densities,matrix hydraulic conductivities and boundary conditions.

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Source https://theses.hal.science/tel-00698665
Author Lafare, Antoine
Maintainer CCSD
Last Updated May 18, 2026, 08:44 (UTC)
Created May 18, 2026, 08:44 (UTC)
Identifier NNT: 2011MON20171
Language fr
Rights https://about.hal.science/hal-authorisation-v1/
contributor Hydrosciences Montpellier (HSM) ; Institut de Recherche pour le Développement (IRD)-Université Montpellier 2 - Sciences et Techniques (UM2)-Institut national des sciences de l'Univers (INSU - CNRS)-Centre National de la Recherche Scientifique (CNRS)
creator Lafare, Antoine
date 2011-12-23T00:00:00
harvest_object_id 612fb39b-a332-49ad-bc70-ec5be31859da
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2026-02-20T00:00:00
set_spec type:THESE