Restricted Research - Award List, Note/Discussion Page
Fiscal Year: 2023
1862 The University of Texas at El Paso (143750)
Principal Investigator: Yi,Son-Young
Total Amount of Contract, Award, or Gift (Annual before 2011): $ 250,518
Exceeds $250,000 (Is it flagged?): Yes
Start and End Dates: 7/1/22 - 6/30/25
Restricted Research: NO
Academic Discipline: Mathematical Sciences
Department, Center, School, or Institute: Mathematical Sciences
Title of Contract, Award, or Gift: Collaborative research: Physics-preserving adaptive finite element methods for thermo-poroelasticity
Name of Granting or Contracting Agency/Entity:
NATIONAL SCIENCE FOUNDATION
CFDA Link: NSF
47.049
Program Title:
Mathematical and Physical Sciences
CFDA Linked: Mathematical and Physical Sciences
Note:
Geothermal energy is one of the most promising renewable energy sources and has proven to be reliable, clean, and safe. When designing enhanced geothermal systems (EGS), it is necessary to understand the multiscale, multiphysics, thermal-hydraulic-mechanical (THM) processes that impact EGS dynamics and productivity. This project aims to build a numerical simulation framework that allows for designing, managing, and optimizing energy production from EGS. The THM processes in EGS can be described by Biot's thermo-poroelasticity model, a coupled system of nonlinear partial differential equations.The PIs will develop a novel numerical method for thermo-poroelasticity based on adaptive enriched Galerkin (EG) methods to provide robust and physics-preserving numerical methods whose numerical analysis is feasible. The proposed EG schemes are mass conservative and free of numerical instabilities commonly present in poroelasticity and coupled flow-transport problems. The mass conservation property, stability, and convergence behaviors of the proposed methods will be studied mathematically and confirmed numerically. Moreover, residual-based a-posteriori error estimators will be derived and utilized for designing dynamic mesh adaptivity techniques. The developed EG algorithms will be implemented within finite element software packages such as FEniCS, deal.II, and HAZmath to verify the theoretical results and validate the new numerical model's capabilities to capture the EGS dynamics. The performance of the new EG methods will be compared with that of state-of-the-art numerical methods.
Discussion:
Withdrawn by Institution (Manuela Dokie) - Previously reported in 2022.