Ballarini, Roberto2022-06-30August 2022020-08August 202Portions of this document appear in: Protasov, I. I., and E. V. Dontsov. "A comparison of non-local elasticity models for a bladelike hydraulic fracture." In 51st us rock mechanics/geomechanics symposium. OnePetro, 2017.; and in: Protasov, I. I., A. P. Peirce, and E. V. Dontsov. "Modeling constant height parallel hydraulic fractures with the Elliptic Displacement Discontinuity Method (EDDM)." In 52nd US Rock Mechanics/Geomechanics Symposium. OnePetro, 2018.https://hdl.handle.net/10657/10263The mechanical modeling of hydraulic fractures is a mathematically complex problem involving the coupling between the equations that describe fracturing of and fluid flow through the porous rock, and fluid flow inside the fractures. Simulation of these physical processes can offer critical insights into practical design problems associated with hydraulic fracturing technology. However, exploration of the influence of the relatively large number of control variables defining the design space is limited by the available computational resources. Generally speaking, the computational time can become a bottleneck for practical usage of available hydraulic fracture simulators. Acknowledging this limitation, this thesis presents a series of combined analytical-computational models that enable efficient simulation of the propagation of multiple non-planar hydraulic fractures, within the context of hardware-conscious advanced numerical techniques. Hydraulic fracture simulations are often coupled with the fluid flow within the surrounding porous rock. This thesis realizes the need for computationally efficient porous media flow simulations that achieve a similar level of efficiency as the fast hydraulic fracturing models. Remarkable computational efficiency is achieved through the novel formulations of numerical techniques and the state-of-the-art computational methods: reduced-order modeling of the hydraulic fracturing, and the application of physical block solvers to the porous media flow.application/pdfengThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. UH Libraries has secured permission to reproduce any and all previously published materials contained in the work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).hydraulic fracturenumerical modelingreduced order modelshigh-performance computingdisplacement discontinuity method2022-06-30Thesisborn digital