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Full-Text Articles in Physical Sciences and Mathematics
A Heterogeneous Multiscale Method For Poroelasticity, Paul M. Delgado
A Heterogeneous Multiscale Method For Poroelasticity, Paul M. Delgado
Open Access Theses & Dissertations
In this Thesis, we develop and analyze a heterogeneous multiscale model for coupled fluid flow and solid deformation in porous media based on operator splitting and finite volume method. The splitting method results in two elliptic multiscale PDE's in the form of a reaction diffusion equation and a linear elasticity equation. We extend our previous multiscale method from 1D to higher dimensions and develop new approaches for the inclusion of mixed boundary conditions and source terms. We derive an error estimate for our multiscale method and analyze the stability of our splitting method. We also test the effectiveness of our …
Optimization Schemes For The Inversion Of Bouguer Gravity Anomalies, Azucena Zamora
Optimization Schemes For The Inversion Of Bouguer Gravity Anomalies, Azucena Zamora
Open Access Theses & Dissertations
Data sets obtained from measurable physical properties of the Earth structure have helped advance the understanding of its tectonic and structural processes and constitute key elements for resource prospecting. 2-Dimensional (2-D) and 3-D models obtained from the inversion of geophysical data sets are widely used to represent the structural composition of the Earth based on physical properties such as density, seismic wave velocities, magnetic susceptibility, conductivity, and resistivity. The inversion of each one of these data sets provides structural models whose consistency depends on the data collection process, methodology, and overall assumptions made in their individual mathematical processes. Although sampling …