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Matematical model of permeability evolution in a fractured porous media due to internal erosion and deposition.
Krajinová, Markéta ; Lanzendörfer, Martin (advisor) ; Zumr, David (referee)
The seepage of fluid through saturated porous media may lead to inner erosion, channelization, preferential flow and transport and deposition of particles. A novel mathematical model was created to describe some of the processes. The model describes a temporal and spatial development of porosity (volume fraction) and permeability (transmissivity) due to erosion and deposition in saturated porous and fractured media. The model calculates the change of permeability and porosity in a direction of different fracture joint sets. The model is based on multi-continua theory, where a region is divided into components (three or more components in this thesis). The components are described by separate differential equations. This approach was used recently by Mahadevan et al. (2012) and Fujisawa et al. (2009) for erosion of porous media. This thesis describes the approaches, assumptions and the equations used in the model. In contrast to the published models, the thesis considers anisotropy. It is characterized by transmissivity tensor (also hydraulic conductivity tensor), which is composed of vectors in the joint sets directions. The model also uses a Dupuit approximation, which allows to approximate flow onto a horizontal plane. The model is also introduced by a numerical simulation using final element...
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Earthquake influence on groundwater levels in West Bohemia/Vogtland
Krajinová, Markéta ; Fischer, Tomáš (advisor) ; Horálek, Josef (referee)
This Batchelors thesis focuses onto possible earthquake influence on groundwater levels in West Bohemia/Vogtland area. The thesis describes geology, hydrogeology and seismic activity of the area. Further describes possible earthquake influence on ground water level and mentions world and local sightings. The area is known for its earthquake swarms up to ML=4, therefore the thesis also deals with an influence of three local earthquakes. They occurred in 2014 with hypocentre near Nový Kostel in West Bohemia and their magnitudes were ML =3,5; 4,4 and 3,6. The thesis further analyses ground water level records of 38 wells at localities: Františkovy Lázně, Lázně Kynžvart, Karlovy Vary, Německo and sokolovská pánev. A polarity of ground water level change after the earthquakes is compared to volumetric strain caused by the earthquakes. Overall agreement is found at few sites, which indicates possible effect of earthquake generated static stress change to the ground water level.
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