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Thursday, March 5 • 15:15 - 17:15
Poster: 'A Meshless Approach to Modeling Fluid-Filled Fracture Propagation in a Porous Medium,' Javier Villarreal, Rice University

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Induced hydraulic fracturing is the process whereby rock is fractured with pressurized fluids to allow easier extraction of natural resources from the ground, such as natural gas or petroleum. Simulation of hydraulic fracturing can be complicated because of the inherent discontinuities in the geometry when simulating crack propagation. One method of simplifying simulation of fluid-driven crack propagation is by using phase field models. With phase field models, rather than treating each phase (i.e. the cracked material and the medium) separately and applying boundary conditions at the crack interfaces, a continuous phase variable is applied throughout the domain. Because the phase variable is continuous, it can be modeled with a differential equation. An adaptive meshless method using collocation of radial basis functions can be used to approximate a phase field model. An advantage of the meshless method is that there is no mesh that can potentially influence the results of a simulation. In addition, conventional adaption schemes can be used to add evaluation points to the domain in areas with high derivatives, which reduces both the computational overhead and the user interaction required, in contrast with having to create a new mesh. This is particularly useful near crack interfaces, where the phase variable derivatives are high and a finer resolution in the grid is desired.


Thursday March 5, 2015 15:15 - 17:15 CST
BioScience Research Collaborative 6500 Main Street, Houston, Tx 77005