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dc.contributor.advisorLeVeque, Randall J., 1955-en_US
dc.contributor.authorLemoine, Gradyen_US
dc.date.accessioned2013-07-25T17:49:27Z
dc.date.available2013-07-25T17:49:27Z
dc.date.issued2013-07-25
dc.date.submitted2013en_US
dc.identifier.otherLemoine_washington_0250E_11850.pdfen_US
dc.identifier.urihttp://hdl.handle.net/1773/23417
dc.descriptionThesis (Ph.D.)--University of Washington, 2013en_US
dc.description.abstractPoroelasticity theory models the mechanics of porous, fluid-saturated, deformable solids. It was originally developed by Maurice Biot to model geophysical problems, such as seismic waves in oil reservoirs, but has also been applied to modeling living bone and other porous media. Poroelastic media often interact with fluids, such as in ocean bottom acoustics or propagation of waves from soft tissue into bone. This thesis describes the development and testing of high-resolution finite volume numerical methods, and simulation codes implementing these methods, for modeling systems of poroelastic media and fluids in two and three dimensions. These methods operate on both rectilinear grids and logically rectangular mapped grids. To allow the use of these methods, Biot's equations of poroelasticity are formulated as a first-order hyperbolic system with a source term; this source term is incorporated using operator splitting. Some modifications are required to the classical high-resolution finite volume method. Obtaining correct solutions at interfaces between poroelastic media and fluids requires a novel transverse propagation scheme and the removal of the classical second-order correction term at the interface, and in three dimensions a new wave limiting algorithm is also needed to correctly limit shear waves. The accuracy and convergence rates of the methods of this thesis are examined for a variety of analytical solutions, including simple plane waves, reflection and transmission of waves at an interface between different media, and scattering of acoustic waves by a poroelastic cylinder. Solutions are also computed for a variety of test problems from the computational poroelasticity literature, as well as some original test problems designed to mimic possible applications for the simulation code.en_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.rightsCopyright is held by the individual authors.en_US
dc.subjectbiot theory; hydraulic contact condition; numerical analysis; poroelasticity; shear wave; stiff relaxationen_US
dc.subject.otherApplied mathematicsen_US
dc.subject.otherGeophysicsen_US
dc.subject.otherBiomechanicsen_US
dc.subject.otherapplied mathematicsen_US
dc.titleNumerical Modeling of Poroelastic-Fluid Systems Using High-Resolution Finite Volume Methodsen_US
dc.typeThesisen_US
dc.embargo.termsNo embargoen_US


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