A Coupled Chemo-Thermo-Poroelastic System: Well-Posedness and Approximation for Control Applications

Malysheva, Tetyana

A Coupled Chemo-Thermo-Poroelastic System: Well-Posedness and Approximation for Control Applications

dc.contributor.advisor	White, Luther
dc.contributor.author	Malysheva, Tetyana
dc.contributor.committeeMember	Zaman, Musharraf
dc.contributor.committeeMember	Grasse, Kevin
dc.contributor.committeeMember	Albert, John
dc.contributor.committeeMember	Remling, Christian
dc.date.accessioned	2015-04-07T18:56:43Z
dc.date.available	2015-04-07T18:56:43Z
dc.date.issued	2015
dc.date.manuscript	2015
dc.description.abstract	This dissertation addresses well-posedness and approximation problems for coupled parabolic-elliptic systems with applications to geomechanics. The work is motivated by problems of borehole stability in porous formations that involve the modeling of fully coupled thermal, chemical, hydraulic, and mechanical processes. Sufficient conditions for well-posedness of coupled parabolic-elliptic initial-boundary value problems for fully coupled thermo-chemo-poroelastic (TCPu) models are established. Fourier-finite-element methods for solving fully coupled two- and three-dimensional radially non-symmetric TCPu problems are developed. The obtained results are fundamental to posing optimal control problems in which the temperature and pressure on the borehole boundary are considered as control parameters used to achieve desired stresses in the neighborhood of the borehole.	en_US
dc.identifier.uri	http://hdl.handle.net/11244/14245
dc.language	en_US	en_US
dc.subject	chemo-thermo-poroelasticity, parabolic-elliptic system, well-posedness, Fourier-finite-element method	en_US
dc.thesis.degree	Ph.D.	en_US
dc.title	A Coupled Chemo-Thermo-Poroelastic System: Well-Posedness and Approximation for Control Applications	en_US
ou.group	College of Arts and Sciences::Department of Mathematics	en_US